From bb36fc65ee0b161229169505f4840c436c5ca2b9 Mon Sep 17 00:00:00 2001
From: Clear1nsight <22630354+Clear1nsight@users.noreply.github.com>
Date: Wed, 11 Nov 2026 14:22:27 +1100
Subject: [PATCH 1/3] Reuse #7147 selected replay navigation for onboarding

This is the exact documentation prerequisite retained by #7156. It points the onboarding check to the selected #7000/#7001 review. Credit to Rohan Arun and the source authors.
---
 docs/ci-verification.md | 19 ++++++++++++++++++-
 1 file changed, 18 insertions(+), 1 deletion(-)

diff --git a/docs/ci-verification.md b/docs/ci-verification.md
index 63ba3e9aa8..52b62d0481 100644
--- a/docs/ci-verification.md
+++ b/docs/ci-verification.md
@@ -1,8 +1,25 @@
 # CI verification
 
-## Current selected-family replay: #6030
+## Current selected-family replay: #7000 with #7001
 
 The [selected record](../certificates/selected-result.json) binds conditional
+κ = 0.00363005817 to the [application review](research/pr-intake-evidence/pr7000-application/PROOF-REVIEW.md),
+[validation receipts](research/pr-intake-evidence/pr7000-application/VALIDATION.json),
+and [explicit source closure](../certificates/frontier7000-source.json).
+`make frontier7000-verify` follows that exact-source selected replay. The review
+reuses eleven authenticated preceding executions and records seven fresh serial
+application, scalar and complete native-catalogue executions. The earlier
+monolithic timeout is retained separately and is not completed coverage.
+Consult the receipts for exact commands, source heads and limits.
+
+The five inherited framework assumptions remain. No complete uniform word,
+literal multiplier execution, independent human proof or formal-kernel proof
+is asserted. Routine research submissions do not need to rerun this
+selected-family replay. The sections below preserve historical checkpoints.
+
+## Historical selected-family replay: #6030
+
+The [historical checkpoint](../certificates/checkpoints/frontier6030.json) binds conditional
 κ = 0.003125804 to the [proof review](research/pr-intake-evidence/pr6030-audit/PROOF-REVIEW.md),
 [validation receipts](research/pr-intake-evidence/pr6030-audit/VALIDATION.json),
 and [explicit source closure](../certificates/frontier6030-source.json).

From d2e54af81f9dda6487636b79d4964a2385d89b2b Mon Sep 17 00:00:00 2001
From: Clear1nsight <22630354+Clear1nsight@users.noreply.github.com>
Date: Wed, 11 Nov 2026 21:53:51 +1100
Subject: [PATCH 2/3] Replay the historical selected check at its inspected
 commit
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

The PR #6292 rejection census and package plan are statements about 2485805. Load its exact sources and planner in a private sparse checkout, keeping all source hashes, 19 expected rejections, nine package selections and the empty-plan control. Subsequent edits to the live Makefile and CI guide no longer invalidate this historical check.

The original audit is by unpaidmoon, building on Dennis’s historical replay gate. The pinned repository view follows the precedent of Matarener’s PR #5434. Repair prepared with substantial OpenAI Codex assistance.
---
 .../historical-selected-replay-gap/README.md  |  6 +-
 .../SOURCES.json                              | 60 +++++++++---------
 .../VERIFY.json                               | 31 +--------
 .../historical-selected-replay-gap/verify.py  | 63 ++++++++++++++-----
 4 files changed, 82 insertions(+), 78 deletions(-)

diff --git a/research/historical-selected-replay-gap/README.md b/research/historical-selected-replay-gap/README.md
index 55d8cc3b49..36d9a873ca 100644
--- a/research/historical-selected-replay-gap/README.md
+++ b/research/historical-selected-replay-gap/README.md
@@ -69,7 +69,11 @@ python3 -B scripts/research_package.py --package research/historical-selected-re
 
 The direct command prints `PASS_HISTORICAL_SELECTED_REPLAY_GAP`. A registered
 replay prints `PASS_REGISTERED_RESEARCH_PACKAGE`. Both require Git history
-containing the two inspected commits.
+containing the two inspected commits and the source and manifest objects at
+`2485805a6d47f36ea83ddde6327d453ac82d44dc`. The verifier uses a temporary
+sparse checkout of that commit, checks the declared source digests there, and
+uses its planner and manifest inventory. The recorded rejections and selection
+therefore remain reproducible after later changes to the live Makefile or CI guide.
 
 ## Open next questions
 
diff --git a/research/historical-selected-replay-gap/SOURCES.json b/research/historical-selected-replay-gap/SOURCES.json
index c1010eec95..62bb8b3950 100644
--- a/research/historical-selected-replay-gap/SOURCES.json
+++ b/research/historical-selected-replay-gap/SOURCES.json
@@ -4,13 +4,13 @@
   "files": [
     {
       "path": "Makefile",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "0d683a06b9e7ee162496108ce9a7c5d2ee94fccf",
       "sha256": "4f2d4f2dcd15139ec82658a975f85ed300897385f85799218539f4c8d60567da"
     },
     {
       "path": "certificates/partial-swap-network.json",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "eccafa830c16170c36faf93045ddf1f638f7bcd4",
       "sha256": "4c0b9d37e1034b2076e30a70f8e514416298c462d9ee98bc87fe6556b14df786"
     },
@@ -22,7 +22,7 @@
     },
     {
       "path": "docs/ci-verification.md",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "63ba3e9aa8bdc5e942b56e34244b92b16f854085",
       "sha256": "c7d3027e9ad8bcbff68f07aa9576b30fb2f3c76c44d876d40c7fdbf4a3e2228a"
     },
@@ -34,163 +34,163 @@
     },
     {
       "path": "research/clifford-state-performance/SOURCE.json",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "6f98a0061a5104dfab82c9e806f819b41811f684",
       "sha256": "396d0f08df24952248140d5c65c51b8c902ef1c580892ff7ea182890530f67ee"
     },
     {
       "path": "research/community-batch1047-audit/CONTENT-COVERAGE.json",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "5e0f92af463ec12c5e1dcc3effd44081a88af647",
       "sha256": "07a9daeaf2bda308a92e9a4684f13d5fc766c7772d74801fceb7f4599fdab226"
     },
     {
       "path": "research/community-batch1099-audit/CONTENT-COVERAGE.json",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "9e13266bf85e627f1b7dc225e9530ea69fd2c7f0",
       "sha256": "421e1211fb1897c45621dc6801c276e53f2e6f335583c9c9049e535f87c0a3b1"
     },
     {
       "path": "research/community-batch932-audit/CONTENT-COVERAGE.json",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "cc4d03eb59b9ab3f952735f7e88ff18c2d15d7af",
       "sha256": "184629cac91a5cfaca50330a88596008b824221433867dcf8117539c913c284a"
     },
     {
       "path": "research/community-batch970-audit/CONTENT-COVERAGE.json",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "8b9f4111badf7de5d97684799560b55110e9da79",
       "sha256": "23188ed920e38a54006cb883e181585620821c63bf7e8b5e05d32719417cc37e"
     },
     {
       "path": "research/community-frontier741-audit/CONTENT-COVERAGE.json",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "a5300d4e7a5381a3f443fc54c768ca6f0f236d68",
       "sha256": "3c820fb30e1b4d9bcfc6a7ab524375e5b2abd66b940af2c509146104f0bcd79c"
     },
     {
       "path": "research/community-frontier890-audit/CONTENT-COVERAGE.json",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "d7ff6d777b01d69b6ce84caf25d3b7e4a4d2f211",
       "sha256": "6b185a9902652f893f3ebd8ada92d2f11b6de6533a9a4d11718a8a4496101128"
     },
     {
       "path": "research/community-hyperplane599-audit/SOURCE.json",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "546f37d326d10a99910ae8f908e71ef768524d98",
       "sha256": "65099d764bfcc39bda5e4d9966783611b094c3522dbdd1435cd498d657a8ef8e"
     },
     {
       "path": "research/community-k492-audit/SOURCE.json",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "e538481e4cb16ed936d3195f2dfb5b5a9ca0a76b",
       "sha256": "2c0f4fa5bc150d05658af2e7c54c4d2c337dd52b7efd3d69530ae73bcbdf452a"
     },
     {
       "path": "research/community-reconciliation92-audit/MANIFEST.json",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "2a2e93685173d5f13cbb5abe740f5d90352e0228",
       "sha256": "5f501f3c118131e7d069f30ad77186eb2ad6961f9680a0ef105f4514ed41808a"
     },
     {
       "path": "research/partial-swap-digest/baseline.py",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "a2f0190704db83bd8ef48e46e723c49b925804fe",
       "sha256": "81e9af92cdf38243a540cdcff2062778e449467848d444da37a9553c12ca4c34"
     },
     {
       "path": "research/r420-two-sided-basis/SOURCES.json",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "5d718e11e62f4bcadecf1e02d6b61f87dbe190b0",
       "sha256": "d9810b0d139c5a1211fd2c1f0d142187cc1fca30026e1e7bc4f9ecfacf1596d1"
     },
     {
       "path": "research/skip-clones/SOURCE.json",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "8d1bb3b9c8189e35e5d8bfdfa632d7473e8be0d5",
       "sha256": "0b68e63e35a97ce6b0cdb6e291b88ebaa8f2dd4afb70b2498f10ee89428258dc"
     },
     {
       "path": "research/split-skip/SOURCE.json",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "2ab610b6ea2edd2865fda793ef2168b0c76afb4f",
       "sha256": "7c2b4646a3ecfef6f881da5c43e4bd0fa9a4d1b00548b8ab458d897e16735134"
     },
     {
       "path": "scripts/historical-ci-inputs/Makefile",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "aff68409021c9d401a6f8013b9dfd7dbcc30f2a8",
       "sha256": "ea8830dd79da493e2d75baf753d733ff7efbcf2b4794afe41fae0ac8f3055646"
     },
     {
       "path": "scripts/historical-ci-inputs/ledger-batch932-run_isolated_tests.py",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "65db599ab0b1dea0312c4ca048e0bd0f44c3736f",
       "sha256": "96ea543e6c707424afe247e77bd86c82152f90fc76a0773c4232145da5cdf8d1"
     },
     {
       "path": "scripts/historical-ci-inputs/ledger-batch932-test_isolated_test_runner.py",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "34820a8f24678f918f4d0e7a35380d8013fc3495",
       "sha256": "628391b6abfbc8674ceec1751867a4392f2cc0b5b66886243e139af86cf355ac"
     },
     {
       "path": "scripts/historical-ci-inputs/ledger-batch970-verify_selected_result.py",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "c755b76e0d44ba4917aa94440ebe54daefce5b2a",
       "sha256": "d7fd929726b326aeeaf0a3996475adec88eee9aac09ae0bebeeaa0bc1fc8f199"
     },
     {
       "path": "scripts/historical-ci-inputs/ledger-frontier741-ci-verification.md",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "7f3c012504187917a728b9fe87043f0fc8cd006a",
       "sha256": "a854022e0e1d5d4db4d60e586be3ea56005013ef14a1fc06d02bc06e8529c4b0"
     },
     {
       "path": "scripts/historical-ci-inputs/partial-swap-context.json",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "ad65114886bf34a4fd27e79f3be502389e689faa",
       "sha256": "833a9642f33aeab2ffea17ec9c6b82e0a953f90192b2c82e10bef21538dccba9"
     },
     {
       "path": "scripts/historical-ci-inputs/partial-swap-network.json",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "52075f2463f60af5e16571347f24274fce73a1ea",
       "sha256": "f3c4be597b2f2136da4ae2cc80c7454f63c90aa01f84e5b8131cee4dd55de815"
     },
     {
       "path": "scripts/partial_swap/shared.py",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "44a0e454c70f9c4b98e258b8443612e6a119904b",
       "sha256": "5a0646a50b9f3e8ea55168620a78e8853b0ab810517cefc8cfb8696aedee278a"
     },
     {
       "path": "scripts/replay_historical_check.py",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "1e92fff2782970ef71378f594f2350d245a4db26",
       "sha256": "5467619c78183d3adc82b0cb55af28e5c1a01fca2b0588677816244b53e2bafd"
     },
     {
       "path": "scripts/research_package.py",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "091b4c8f58bac9a9580d76025b887dc5c873d05f",
       "sha256": "e1256016e7f51827d04fa2179255989f639ae1d97afaa9c16265f85a0c6abd70"
     },
     {
       "path": "scripts/run_isolated_tests.py",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "a96ab35b315ce492e7fbbfd6c5ae211aa066b541",
       "sha256": "49eb56dd0fc0d8d8ffdb209970a7adf2176223580646f575d5c22e59543b381c"
     },
     {
       "path": "scripts/verify_selected_result.py",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "6882a4700e410dec569b51ae2eaf1a19cc019195",
       "sha256": "d6b305eac5b9bdb8172c469ad30a1655a60fa0aceac8b1bf610e1b73f51babd8"
     },
     {
       "path": "tests/test_isolated_test_runner.py",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "343b24abf6719b81805eba5a84c74e57634c8288",
       "sha256": "3a5470d0b139828b90e19bf9583ddeafcd69f8e34f2824664eb3a2958a52e34d"
     }
diff --git a/research/historical-selected-replay-gap/VERIFY.json b/research/historical-selected-replay-gap/VERIFY.json
index 98553e72ed..ab7efa3471 100644
--- a/research/historical-selected-replay-gap/VERIFY.json
+++ b/research/historical-selected-replay-gap/VERIFY.json
@@ -4,36 +4,7 @@
   "python": "3.12",
   "requirements": [],
   "inputs": [
-    "Makefile",
-    "certificates/partial-swap-network.json",
-    "docs/ci-verification.md",
-    "research/clifford-state-performance/SOURCE.json",
-    "research/community-batch1047-audit/CONTENT-COVERAGE.json",
-    "research/community-batch1099-audit/CONTENT-COVERAGE.json",
-    "research/community-batch932-audit/CONTENT-COVERAGE.json",
-    "research/community-batch970-audit/CONTENT-COVERAGE.json",
-    "research/community-frontier741-audit/CONTENT-COVERAGE.json",
-    "research/community-frontier890-audit/CONTENT-COVERAGE.json",
-    "research/community-hyperplane599-audit/SOURCE.json",
-    "research/community-k492-audit/SOURCE.json",
-    "research/community-reconciliation92-audit/MANIFEST.json",
-    "research/partial-swap-digest/baseline.py",
-    "research/r420-two-sided-basis/SOURCES.json",
-    "research/skip-clones/SOURCE.json",
-    "research/split-skip/SOURCE.json",
-    "scripts/historical-ci-inputs/Makefile",
-    "scripts/historical-ci-inputs/ledger-batch932-run_isolated_tests.py",
-    "scripts/historical-ci-inputs/ledger-batch932-test_isolated_test_runner.py",
-    "scripts/historical-ci-inputs/ledger-batch970-verify_selected_result.py",
-    "scripts/historical-ci-inputs/ledger-frontier741-ci-verification.md",
-    "scripts/historical-ci-inputs/partial-swap-context.json",
-    "scripts/historical-ci-inputs/partial-swap-network.json",
-    "scripts/partial_swap/shared.py",
-    "scripts/replay_historical_check.py",
-    "scripts/research_package.py",
-    "scripts/run_isolated_tests.py",
-    "scripts/verify_selected_result.py",
-    "tests/test_isolated_test_runner.py"
+    "scripts/research_package.py"
   ],
   "commands": [
     {
diff --git a/research/historical-selected-replay-gap/verify.py b/research/historical-selected-replay-gap/verify.py
index 83b995941a..9d266c5a4e 100644
--- a/research/historical-selected-replay-gap/verify.py
+++ b/research/historical-selected-replay-gap/verify.py
@@ -6,8 +6,10 @@
 """
 import hashlib
 import importlib.util
+import json
 import subprocess
 import sys
+import tempfile
 from pathlib import Path
 
 ROOT = Path(__file__).resolve().parents[2]
@@ -61,31 +63,47 @@ def require(ok, message):
         raise SystemExit(message)
 
 
-def load_checker():
-    path = ROOT / "scripts/replay_historical_check.py"
-    spec = importlib.util.spec_from_file_location("historical_selected_replay_gap_checker", path)
+def load_module(path):
+    spec = importlib.util.spec_from_file_location(path.stem, path)
     module = importlib.util.module_from_spec(spec)
     spec.loader.exec_module(module)
     return module
 
 
+def checkout_snapshot(snapshot, sources, runner, env):
+    paths = [runner.canonical_relative_path(row["path"]) for row in sources["files"]]
+    git = ["git", "-c", "maintenance.auto=false", "-c", "gc.auto=0",
+           "-c", "core.autocrlf=false"]
+    subprocess.run([*git, "clone", "--quiet", "--shared", "--no-tags", "--no-checkout",
+                    "--", str(ROOT), str(snapshot)], cwd=ROOT, env=env, check=True)
+    subprocess.run([*git, "update-ref", "--no-deref", "HEAD", INSPECTED],
+                   cwd=snapshot, env=env, check=True)
+    # The pinned planner reads omitted manifests from the sparse HEAD/index.
+    patterns = "".join(f"/{path.as_posix()}\n" for path in paths)
+    subprocess.run([*git, "sparse-checkout", "set", "--no-cone", "--stdin"],
+                   cwd=snapshot, env=env, input=patterns.encode("utf-8"), check=True)
+    subprocess.run([*git, "read-tree", "-mu", "HEAD"], cwd=snapshot, env=env, check=True)
+    for path, row in zip(paths, sources["files"], strict=True):
+        require(hashlib.sha256((snapshot / path).read_bytes()).hexdigest() == row["sha256"],
+                "historical checkout source digest changed: " + path.as_posix())
+
+
 def entries(checker):
     for name, config in checker.CONFIG.items():
         for entry in [config, *config.get("additional_inputs", [])]:
             yield name, entry
 
 
-def reject(checker, entry):
+def reject(root, checker, entry):
     try:
-        checker.authenticated_input(ROOT, entry)
+        checker.authenticated_input(root, entry)
     except ValueError as exc:
         return str(exc)
     raise SystemExit("historical input was admitted: " + entry["path"])
 
 
-def main():
-    require(not sys.flags.optimize, "assertions must stay enabled")
-    checker = load_checker()
+def check_snapshot(root, env):
+    checker = load_module(root / "scripts/replay_historical_check.py")
     selected = [entry for name, entry in entries(checker)
                 if name == "tooling-ledger" and entry["path"] == SELECTED_PATH]
     require(len(selected) == 1, "selected-result checker overlay is not unique")
@@ -94,7 +112,7 @@ def main():
     require(entry["accepted_live_sha256"] == [SELECTED_ACCEPTED],
             "accepted selected-checker successors changed")
     frozen = (checker.INPUTS / entry["input"]).read_bytes()
-    live = (ROOT / SELECTED_PATH).read_bytes()
+    live = (root / SELECTED_PATH).read_bytes()
     require(hashlib.sha256(frozen).hexdigest() == SELECTED_PIN, "frozen selected checker bytes changed")
     require(hashlib.sha256(live).hexdigest() == SELECTED_LIVE, "live selected checker digest changed")
     require(SELECTED_LIVE not in (SELECTED_PIN, SELECTED_ACCEPTED), "live checker was already admitted")
@@ -102,7 +120,7 @@ def main():
     # live successor, not a broken comparison.
     require(SELECTED_PIN in (SELECTED_PIN, *entry["accepted_live_sha256"]),
             "pin membership control failed")
-    require(reject(checker, entry) == REJECTIONS[SELECTED_PATH][1],
+    require(reject(root, checker, entry) == REJECTIONS[SELECTED_PATH][1],
             "selected checker rejection text changed")
 
     counts = {path: 0 for path in REJECTIONS}
@@ -110,7 +128,7 @@ def main():
     for _name, item in entries(checker):
         if item["path"] not in REJECTIONS:
             continue
-        message = reject(checker, item)
+        message = reject(root, checker, item)
         counts[item["path"]] += 1
         messages.setdefault(item["path"], message)
     for path, (count, message) in REJECTIONS.items():
@@ -118,20 +136,31 @@ def main():
         require(messages[path] == message, "rejection text changed for " + path)
     require(sum(counts.values()) == 19, "rejection total changed")
     ci = [item for _name, item in entries(checker) if item["path"] == CI_PATH]
-    require(len(ci) == 1 and hashlib.sha256((ROOT / CI_PATH).read_bytes()).hexdigest() == CI_LIVE,
+    require(len(ci) == 1 and hashlib.sha256((root / CI_PATH).read_bytes()).hexdigest() == CI_LIVE,
             "selected CI note digest changed")
 
     diff = subprocess.check_output(
-        ["git", "diff", "--name-only", PARENT, INSPECTED], cwd=ROOT, text=True)
+        ["git", "diff", "--name-only", PARENT, INSPECTED], cwd=root, env=env, text=True)
     changed = sorted(name for name in diff.splitlines() if name)
     require(changed == CHANGED, "inspected commit diff changed")
-    sys.path.insert(0, str(ROOT / "scripts"))
-    from research_package import plan_details
-    details = plan_details(ROOT, set(changed))
+    planner = load_module(root / "scripts/research_package.py")
+    details = planner.plan_details(root, set(changed))
     require([row["package"] for row in details] == PLAN_PACKAGES, "helper plan selection changed")
     matched = {name for row in details for names in row["causes"].values() for name in names}
     require(sorted(set(changed) - matched) == UNMATCHED, "unmatched plan paths changed")
-    require(plan_details(ROOT, set()) == [], "empty change set selected a package")
+    require(planner.plan_details(root, set()) == [], "empty change set selected a package")
+
+
+def main():
+    require(not sys.flags.optimize, "assertions must stay enabled")
+    sources = json.loads(Path(__file__).with_name("SOURCES.json").read_bytes())
+    require(sources["base_commit"] == INSPECTED, "historical checkout base changed")
+    runner = load_module(ROOT / "scripts/research_package.py")
+    env = runner.git_source_env()
+    with tempfile.TemporaryDirectory(prefix="historical-selected-replay-") as temporary:
+        snapshot = Path(temporary) / "snapshot"
+        checkout_snapshot(snapshot, sources, runner, env)
+        check_snapshot(snapshot, env)
     print("PASS_HISTORICAL_SELECTED_REPLAY_GAP")
     print("selected_checker_live=" + SELECTED_LIVE)
     print("rejections=19 distinct_paths=7 plan_packages=9")

From a0209462443322c3e36a6ab0e3cebbd6e2da5960 Mon Sep 17 00:00:00 2001
From: ToikY <27568617+ToikY@users.noreply.github.com>
Date: Wed, 11 Nov 2026 13:58:51 -0800
Subject: [PATCH 3/3] Exclude fixed-chart P104 ADD contractions

---
 .../LOCAL-PINS.json                           |   31 +
 .../NOTICE                                    |    6 +
 .../PROOF.md                                  |   56 +
 .../PROVENANCE.json                           |   53 +
 .../README.md                                 |   72 +
 .../SOURCES.json                              |   18 +
 .../TASK.json                                 |  117 +
 .../VERIFY.json                               |   19 +
 .../admission/ADMITTED.json                   |   48 +
 .../admission/ANCHORED.json                   |   34 +
 .../admission/ARCHIVE.stdout                  |   47 +
 .../admission/COMMIT.stdout                   |    1 +
 .../admission/DECLARED-SOURCE-PINS.json       |   35 +
 .../admission/HISTORY.stderr                  |    1 +
 .../admission/METADATA.stdout                 |    1 +
 .../admission/STAGE-caller.json               |   62 +
 .../admission/STAGE-early.json                |   15 +
 .../admission/STAGE-frontier.json             |   16 +
 .../admission/STAGE-native.json               |   37 +
 .../admission/TREE.txt                        |   34 +
 .../engines/a2.py                             |  275 ++
 .../engines/compare.py                        |   44 +
 .../engines/reverse_windows.py                |  368 ++
 .../inputs/7113/CALLER.json.gz                |  Bin 0 -> 11215 bytes
 .../inputs/7298/pricing.py                    |   82 +
 .../inputs/7314/EARLY-RESULT.json             |  206 ++
 .../inputs/7314/NATIVE-RESULT.json            | 3090 +++++++++++++++++
 .../inputs/7314/WORD.json.gz                  |  Bin 0 -> 393266 bytes
 .../inputs/r58/PRICE.json                     |  247 ++
 .../inputs/r58/SHA256.json                    |    6 +
 .../receipts/COMPARE.json                     |   50 +
 .../receipts/GEOMETRY.json                    |  295 ++
 .../receipts/PRICE.json                       |   88 +
 .../receipts/RESULT.json                      |   23 +
 .../receipts/SHA256.json                      |    7 +
 .../receipts/SUPPORT.json                     |    7 +
 .../replay.py                                 |  193 +
 37 files changed, 5684 insertions(+)
 create mode 100644 research/p104-cross-chart-add-contraction-bound/LOCAL-PINS.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/NOTICE
 create mode 100644 research/p104-cross-chart-add-contraction-bound/PROOF.md
 create mode 100644 research/p104-cross-chart-add-contraction-bound/PROVENANCE.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/README.md
 create mode 100644 research/p104-cross-chart-add-contraction-bound/SOURCES.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/TASK.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/VERIFY.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/admission/ADMITTED.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/admission/ANCHORED.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/admission/ARCHIVE.stdout
 create mode 100644 research/p104-cross-chart-add-contraction-bound/admission/COMMIT.stdout
 create mode 100644 research/p104-cross-chart-add-contraction-bound/admission/DECLARED-SOURCE-PINS.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/admission/HISTORY.stderr
 create mode 100644 research/p104-cross-chart-add-contraction-bound/admission/METADATA.stdout
 create mode 100644 research/p104-cross-chart-add-contraction-bound/admission/STAGE-caller.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/admission/STAGE-early.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/admission/STAGE-frontier.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/admission/STAGE-native.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/admission/TREE.txt
 create mode 100644 research/p104-cross-chart-add-contraction-bound/engines/a2.py
 create mode 100644 research/p104-cross-chart-add-contraction-bound/engines/compare.py
 create mode 100644 research/p104-cross-chart-add-contraction-bound/engines/reverse_windows.py
 create mode 100644 research/p104-cross-chart-add-contraction-bound/inputs/7113/CALLER.json.gz
 create mode 100644 research/p104-cross-chart-add-contraction-bound/inputs/7298/pricing.py
 create mode 100644 research/p104-cross-chart-add-contraction-bound/inputs/7314/EARLY-RESULT.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/inputs/7314/NATIVE-RESULT.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/inputs/7314/WORD.json.gz
 create mode 100644 research/p104-cross-chart-add-contraction-bound/inputs/r58/PRICE.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/inputs/r58/SHA256.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/receipts/COMPARE.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/receipts/GEOMETRY.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/receipts/PRICE.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/receipts/RESULT.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/receipts/SHA256.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/receipts/SUPPORT.json
 create mode 100644 research/p104-cross-chart-add-contraction-bound/replay.py

diff --git a/research/p104-cross-chart-add-contraction-bound/LOCAL-PINS.json b/research/p104-cross-chart-add-contraction-bound/LOCAL-PINS.json
new file mode 100644
index 0000000000..f0c5534f8c
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/LOCAL-PINS.json
@@ -0,0 +1,31 @@
+{
+  "PROVENANCE.json": "e1340e62fcf1d478f6244ad04e481608e6df04bd5482e3ce193c31a35d151547",
+  "admission/ADMITTED.json": "41b8a189dffeb768e5843446cdc469f9cc2f0aa038d0a593cf2be43aa009a9a3",
+  "admission/ANCHORED.json": "6378aff76d6d38b3863d039b2d1814db48c3105ffe933e96d9c449e799f624aa",
+  "admission/ARCHIVE.stdout": "fbfe4d32b4b7614ec0adbcf31d788706c305fa85c88db34822daa3e057b85599",
+  "admission/COMMIT.stdout": "fd1d72b0397b2e089e9e6ae467c9322a96a08628d7d511c68b417203b5b4cee8",
+  "admission/DECLARED-SOURCE-PINS.json": "aad96b05ba3fb91051f310120c1d32729d4fd6cf20395943c4aea4fcf1d2d4d4",
+  "admission/HISTORY.stderr": "c95523eb2c5d47834d66c8568f1d755cf2201e8a23b18ec0e1a5c3fab0eb9b74",
+  "admission/METADATA.stdout": "5873404cb4424dca918a00d503569f3c29a3190fd029a007e1afb2006399f647",
+  "admission/STAGE-caller.json": "a653be3423a20a9aa0b6c532fabf7bf96ea7e5feab6bd3924d171d2b9c5c5f76",
+  "admission/STAGE-early.json": "cee13f7126ecdd375ad62b4a6773f3ac4182df52bc484dc2944a92ee31cd15f7",
+  "admission/STAGE-frontier.json": "75b8ceb5547f9828b03d60b7646fc2fdb47a0d02b5715d8f7fb35d7de946694f",
+  "admission/STAGE-native.json": "36ec25be5eb332a45f36d935fc1d0397e02e0b243ea38cc77d340592a33c478b",
+  "admission/TREE.txt": "6b7c113f9b02b45024c96eafb88256b76a8d3b3d91a1c1730090ded0d3be7246",
+  "engines/a2.py": "a2428443545b0ae04712d7d37563b4405de5fbae928c90400726612051a57d47",
+  "engines/compare.py": "8dc5c593586710e54e0c337f7e8de881d5795dbec03494c9c0180cd73df1e822",
+  "engines/reverse_windows.py": "0bb81ac7fb9afa8c807a0b64d7eed0a94b4b52d9a891b2a2eb267bb9b8739efd",
+  "inputs/7113/CALLER.json.gz": "58beaf24e01c0589ecd5d1676d6d27e75b779f089d0674eda11725465ffc04e1",
+  "inputs/7298/pricing.py": "f4d0b6c9314b838d882d6d06020f24881c19a3fda97a7c00df87b1e920785182",
+  "inputs/7314/EARLY-RESULT.json": "b5043855411432b24336ecc443cba9ebfae6392e2045ddd01c87cfe2c51f5f08",
+  "inputs/7314/NATIVE-RESULT.json": "336f463da5afe5b60bfd3b9f0ce8aeea5a5feb1f854613bf4218ba0b28b3371b",
+  "inputs/7314/WORD.json.gz": "c404b9b61220e6cf740d85276df2828bbb4a9d68a4d44b5e283f8d96f78c0fd9",
+  "inputs/r58/PRICE.json": "8d70669e720faabc932366dafbc1bd1fdaef6f088c4eb02b0ea3707ba309ab53",
+  "inputs/r58/SHA256.json": "ca3ed296a19bdd7b2b37608e93d1763d97c7620ac9faef732a01bae4f485114c",
+  "receipts/COMPARE.json": "0d4a86b59154b2bf242a7589b365c7a93d6ee60da7859aa4001f7460846a76a0",
+  "receipts/GEOMETRY.json": "302c6b001113aa498ccf86c95bbbab43f61d1d278e07305694e6d2a211954bb7",
+  "receipts/PRICE.json": "ec216265e8ab187e032d736f451e6348e1248de729d5033b9430f0154f2697b3",
+  "receipts/RESULT.json": "a91b48b3717d6677cc78901f890ba0050de1f3dd5a5beff1fafb81133d92377c",
+  "receipts/SHA256.json": "30fd6f27946eab725761659d7f4d06bc0a3b9d1280e5cf02445490bf9eabe26c",
+  "receipts/SUPPORT.json": "dcc17a780756eb09a0a760134b54ac0cc8c0e73acb661da5a49426e54f47418a"
+}
diff --git a/research/p104-cross-chart-add-contraction-bound/NOTICE b/research/p104-cross-chart-add-contraction-bound/NOTICE
new file mode 100644
index 0000000000..2f2ae83be4
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/NOTICE
@@ -0,0 +1,6 @@
+Apache-2.0.
+
+#7314 supplies the native word and full invoice. #7113 supplies the signed caller.
+#7298 supplies the directed tariff. #3998, #4019, #4041 and #4112 supply older A2
+precedents. #5170 supplies a related corrective expansion. Round 58 (#7319) supplied the
+carried-forward baseline price. OpenAI Codex and subagents materially assisted.
diff --git a/research/p104-cross-chart-add-contraction-bound/PROOF.md b/research/p104-cross-chart-add-contraction-bound/PROOF.md
new file mode 100644
index 0000000000..9a31caf2bb
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/PROOF.md
@@ -0,0 +1,56 @@
+# Exact scope and exclusion
+
+Let the original word be #7314 at `9d0119eb12fbd9fa534b48cd37b68e7099757b91`.
+An ADD is `d += a*s` on its declared chart. Normalize the word by omitting
+MOVE events only. Consider every consecutive triple of ADDs in that
+normalization with at least two distinct literal charts and exactly three
+roles. Exclude any triple touching roles 863, 1355 or 1568. The permitted
+rewrite requires a chain through an owned middle role.
+
+On distinct roles `i,j,k`, write the chain and correction as
+`X = I + a E_ij`, `Y = I + b E_jk`, and `Z = I + c E_ik`.
+The correction commutes with both chain factors. If the old chronological
+order of the chain is X followed by Y, reversing it and dropping Z requires
+`c = ab`. If the old order is Y followed by X, it requires `c = -ab`.
+These statements follow from `E_ij E_jk = E_ik` and
+`E_jk E_ij = 0`. Testing all three basis inputs over the rationals checks
+the exact normalized forward product, which also determines its adjoint.
+The normalized test alone does not establish a native realization.
+
+The window entry is immediately before the first original ADD, and its exit
+is immediately after the third original ADD. The two retained ADDs keep
+their literal charts and factors in the reversed order. For each touched
+role, the direct route visits each chart demanded by these ADDs in order
+and returns to the original exit chart. It must visit a scalar operand's
+chart whether the role is a source or destination. Public roles can only
+move by strict span ascent. Owned roles may ascend or descend along nested
+spans. Both walks check the original literal MOVE histogram. The reverse
+walk reconstructs entry and exit charts independently and records the
+two public-middle triangles as a diagnostic outside the owned scope.
+
+| ADD clocks | ADD charts | Middle role | Required descent | Before scalar slot |
+| --- | --- | --- | --- | --- |
+| 35646, 35648, 35650 | 3, 1031, 1031 | public 699 | 1031 → 3 | 35650 |
+| 36496, 36498, 36500 | 3, 595, 595 | public 581 | 595 → 3 | 36498 |
+
+The two descents are illegal under the unchanged public-role contract. The
+owned-middle stock is empty. Neither a changed physical tape nor a changed
+compiler, caller, precision or recovery claim is needed for this exclusion.
+
+## Complete directed price
+
+The full caller has 17 native copies, 110,536 paid positions and 22,461
+productive targets. Its rank surplus is 1,424. The complete invoice uses
+the #7298 directed tariff on `T-P` at the exact upper crossing endpoint
+`36462214364462343366888845568981/10000000000000000000000000000000000`.
+For a legal proposed edit, `T` stays fixed, while `P` changes by 17
+times the new-minus-old touched-role MOVE histogram. New direct routes and
+restoration to the exit are charged before the identity test. Unrelated
+MOVEs stay charged. The maximum whole compatible saving is zero because
+the eligible stock is empty.
+
+A hypothetical histogram control removes two rank-one paid calls per copy
+and adds one rank-two call per copy. It clears the directed comparison
+before one additional rank-one paid position, which reverses the result.
+This is a tariff control. No literal #7314 case realizes that hypothetical
+delta in the tested scope.
diff --git a/research/p104-cross-chart-add-contraction-bound/PROVENANCE.json b/research/p104-cross-chart-add-contraction-bound/PROVENANCE.json
new file mode 100644
index 0000000000..7dc9c8d0bd
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/PROVENANCE.json
@@ -0,0 +1,53 @@
+{
+  "files": {
+    "inputs/7113/CALLER.json.gz": {
+      "commit": "07a76c5e2738882c0cb322278e56f6cae3c9885d",
+      "git_blob": "9451ceaf6e8e037894680b549f3ef41c21b260d7",
+      "path": "research/signed-caller-8x9/expected/ODD-TYPE-AB-CALLER.json",
+      "sha256": "255d89f38cd45e38e5770f559bc43dc217e989032359768cdc7e8cdfd64b47bc",
+      "source": "https://github.com/CrocSwap/integer-mult-bounds/blob/07a76c5e2738882c0cb322278e56f6cae3c9885d/research/signed-caller-8x9/expected/ODD-TYPE-AB-CALLER.json",
+      "uncompress": true
+    },
+    "inputs/7298/pricing.py": {
+      "commit": "c522451caf287bb3c16eaece72be4c263315dca4",
+      "git_blob": "40ec194017bda1d524bba4f07b188c53281419d0",
+      "path": "research/adjacent-owned-add-exchange-bound/pricing.py",
+      "sha256": "f4d0b6c9314b838d882d6d06020f24881c19a3fda97a7c00df87b1e920785182",
+      "source": "https://github.com/CrocSwap/integer-mult-bounds/blob/c522451caf287bb3c16eaece72be4c263315dca4/research/adjacent-owned-add-exchange-bound/pricing.py",
+      "uncompress": false
+    },
+    "inputs/7314/EARLY-RESULT.json": {
+      "commit": "9d0119eb12fbd9fa534b48cd37b68e7099757b91",
+      "git_blob": "8cf1ee78a8edd3b62757203f6ac64c2084a2ac67",
+      "path": "research/p104-funded-863-return/EARLY-RESULT.json",
+      "sha256": "b5043855411432b24336ecc443cba9ebfae6392e2045ddd01c87cfe2c51f5f08",
+      "source": "https://github.com/CrocSwap/integer-mult-bounds/blob/9d0119eb12fbd9fa534b48cd37b68e7099757b91/research/p104-funded-863-return/EARLY-RESULT.json",
+      "uncompress": false
+    },
+    "inputs/7314/NATIVE-RESULT.json": {
+      "commit": "9d0119eb12fbd9fa534b48cd37b68e7099757b91",
+      "git_blob": "311051d32ccd7d215461f5724c4efc61bb930b47",
+      "path": "research/p104-funded-863-return/NATIVE-RESULT.json",
+      "sha256": "336f463da5afe5b60bfd3b9f0ce8aeea5a5feb1f854613bf4218ba0b28b3371b",
+      "source": "https://github.com/CrocSwap/integer-mult-bounds/blob/9d0119eb12fbd9fa534b48cd37b68e7099757b91/research/p104-funded-863-return/NATIVE-RESULT.json",
+      "uncompress": false
+    },
+    "inputs/7314/WORD.json.gz": {
+      "commit": "9d0119eb12fbd9fa534b48cd37b68e7099757b91",
+      "git_blob": "3939a3cc4c516cf2f184bd401fbeb0d61f5cdd40",
+      "path": "research/p104-funded-863-return/WORD.json.gz",
+      "sha256": "c404b9b61220e6cf740d85276df2828bbb4a9d68a4d44b5e283f8d96f78c0fd9",
+      "source": "https://github.com/CrocSwap/integer-mult-bounds/blob/9d0119eb12fbd9fa534b48cd37b68e7099757b91/research/p104-funded-863-return/WORD.json.gz",
+      "uncompress": false
+    },
+    "inputs/r58/SHA256.json": {
+      "commit": "b2d3bc4dd584f8d3aacd244505b12286db4d4875",
+      "git_blob": "3a28905e8d69888617b56578761c16d39fcdf7a6",
+      "path": "research/p104-helper-entrance-first-contact-bound/receipts/SHA256.json",
+      "sha256": "ca3ed296a19bdd7b2b37608e93d1763d97c7620ac9faef732a01bae4f485114c",
+      "source": "https://github.com/CrocSwap/integer-mult-bounds/blob/b2d3bc4dd584f8d3aacd244505b12286db4d4875/research/p104-helper-entrance-first-contact-bound/receipts/SHA256.json",
+      "uncompress": false
+    }
+  },
+  "schema_version": 1
+}
diff --git a/research/p104-cross-chart-add-contraction-bound/README.md b/research/p104-cross-chart-add-contraction-bound/README.md
new file mode 100644
index 0000000000..251c9ca6c6
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/README.md
@@ -0,0 +1,72 @@
+# Fixed-chart cross-chart ADD contraction on #7314
+
+**NO VERIFIED GAIN. Conditional κ change 0%.** The exact funded-return
+word in [#7314](https://github.com/CrocSwap/integer-mult-bounds/pull/7314)
+contains 64,080 consecutive ADD triples after ignoring MOVE records only.
+There are 5,467 cross-chart triples, 215 with exactly three roles, and two
+directed triangles after excluding roles 863, 1355 and 1568. Both triangles
+have a public middle role. Direct reversal at their old scalar charts would
+require a public descent in each. The owned-middle stock is empty. Both
+censuses exhausted their scope, and zero cases remain unresolved.
+
+The candidate edit reverses two ADDs forming a directed chain, removes the
+third ADD if it is their exact signed correction, and routes the three
+touched roles directly between the original literal ADD charts and fixed
+window endpoints. Unrelated MOVE events retain their order. All other native
+events, the caller and the productive profile stay fixed. The final paid
+saving upper within this scope is zero. The result applies to one such
+literal local edit. Changing ADD charts, retiming past another scalar
+operation or composing broader words remains open. See [PROOF.md](PROOF.md).
+
+## Evidence and reproduction
+
+The comparator is exact #7314 head
+`9d0119eb12fbd9fa534b48cd37b68e7099757b91` at certified κ
+`0.003646221436446`, with [#7113](https://github.com/CrocSwap/integer-mult-bounds/pull/7113)
+caller head `07a76c5e2738882c0cb322278e56f6cae3c9885d`. The source pins,
+baseline price and admission receipts ship with this package. Admission records
+the earlier local predecessor replay and its assumptions. The replay here
+authenticates those receipts and reproduces the new exclusion. The existing
+native all-columns, owned-erasure, compiler, precision/tape and analytic-recovery
+premises are inherited.
+
+From a clean checkout, with CPython 3.12 and its standard library:
+
+```sh
+python3.12 -I -B research/p104-cross-chart-add-contraction-bound/replay.py
+python3.12 -B scripts/research_package.py --package research/p104-cross-chart-add-contraction-bound
+```
+
+Use `--out fresh-directory` to retain the reproduced receipts. The replay
+authenticates immutable path-keyed pins, rebuilds the saved lead price and
+support receipts, and runs an independent reverse chart walk at the same
+128-case and 30-second limits. It compares the new plaintext receipts with the
+frozen SHA-256 values and rejects a stale price digest and a changed caller.
+Both engines also exercise exact signed positive and corrupted-correction
+controls. No prior temporary files, download, or local Git refs are required.
+
+## Open next questions
+
+Can a lawful MOVE retiming expose an owned-middle triangle if a literal ADD
+chart or a scalar boundary can change? Begin with one explicitly bounded
+retiming family. Freeze its exact charts and price the whole compatible
+native paid delta against the complete caller invoice. A surviving edit
+needs signed arbitrary-input and adjoint action, ownership and restoration,
+plus unchanged compiler, precision and tape premises or proofs for the
+changed interfaces.
+
+## Credit
+
+[#7314](https://github.com/CrocSwap/integer-mult-bounds/pull/7314) provides the
+funded-return word and invoice, and
+[#7113](https://github.com/CrocSwap/integer-mult-bounds/pull/7113) provides
+the signed caller. [#7298](https://github.com/CrocSwap/integer-mult-bounds/pull/7298)
+provides the directed tariff. The older A2 and signed commutation precedents
+include [#3998](https://github.com/CrocSwap/integer-mult-bounds/pull/3998),
+[#4019](https://github.com/CrocSwap/integer-mult-bounds/pull/4019),
+[#4041](https://github.com/CrocSwap/integer-mult-bounds/pull/4041),
+and [#4112](https://github.com/CrocSwap/integer-mult-bounds/pull/4112).
+[#5170](https://github.com/CrocSwap/integer-mult-bounds/pull/5170) studies
+a related corrective expansion. [#7319](https://github.com/CrocSwap/integer-mult-bounds/pull/7319)
+supplied the carried-forward Round 58 invoice price. Round 60 tests a literal inverse contraction with fixed
+charts and endpoints. OpenAI Codex and subagents materially assisted.
diff --git a/research/p104-cross-chart-add-contraction-bound/SOURCES.json b/research/p104-cross-chart-add-contraction-bound/SOURCES.json
new file mode 100644
index 0000000000..e8c2f265cd
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/SOURCES.json
@@ -0,0 +1,18 @@
+{
+  "base_commit": "e54523517d0f03e58352e647c403a5af3e525a57",
+  "files": [
+    {
+      "git_blob": "75d77b328ea02ded535e7f23aee5b1e55d0bb1a8",
+      "path": "certificates/selected-result.json",
+      "sha256": "154c3d30455d778fd3343b6b4851f0fa4665f0f7625b0adb3675e2bafbbf6bf1",
+      "usage": "provenance"
+    },
+    {
+      "git_blob": "3404fbdd5e7529a0674eef26114b5071e4586cec",
+      "path": "docs/research/agent-task-catalog.json",
+      "sha256": "ead6cdc9d0af6d58e8a49744d8ec8c7c15e13d2ba93c276c434bcf9b51b93a81",
+      "usage": "provenance"
+    }
+  ],
+  "schema_version": 1
+}
diff --git a/research/p104-cross-chart-add-contraction-bound/TASK.json b/research/p104-cross-chart-add-contraction-bound/TASK.json
new file mode 100644
index 0000000000..a1d0d30258
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/TASK.json
@@ -0,0 +1,117 @@
+{
+  "actual_scope": "One inverse A2 contraction in a consecutive cross-chart ADD triple after omitting MOVE events only, on exact #7314. Require an owned middle role, exclude roles 863, 1355 and 1568, and fix the retained scalar charts, window boundaries, unrelated MOVEs and #7113 caller.",
+  "ai_assistance": "OpenAI Codex and subagents materially assisted proof, implementation, independent verification and packaging.",
+  "author": "Cross-chart ADD contraction research",
+  "base_commit": "e54523517d0f03e58352e647c403a5af3e525a57",
+  "bottleneck_link": "An exact scalar contraction can only improve the fixed caller by reducing the complete paid native MOVE invoice after restoration.",
+  "budget_minutes": 7,
+  "evidence": "Forward and independent reverse walks agree on all 64,080 normalized ADD triples, two forbidden public-middle descents, zero owned-middle keys and zero unresolved. Both run signed product controls. The exact signed invoice and five receipt hashes are included.",
+  "open_questions": [
+    {
+      "blocked_by": "A surviving edit needs signed arbitrary-input and adjoint action, lawful ownership, restoration and full compiler, precision and tape costs.",
+      "first_step": "Freeze one bounded changed-chart or retiming family and pre-price its whole compatible paid MOVE delta on the full #7314 invoice.",
+      "question": "Can a legal MOVE retiming expose an owned-middle triangle if a literal ADD chart or scalar boundary is allowed to change?",
+      "why_it_matters": "No currently eligible literal triple can lower the paid MOVE invoice."
+    }
+  ],
+  "original_card": {
+    "acceptance_gate": "An exact arbitrary-input identity, source/target frame availability and restoration at the chosen cut, plus the complete channel+correction+idle/hosting bill or an explicit favorable bound. The native channel alone is not a supplier. A scoped local result may be retained without a complete supplier. Expanding it into further construction rounds requires the family-level budget and obligation gate in research-family-status.md; an optimistic passing relaxation alone is not acceptance.",
+    "allowed_variations": [
+      "One exact source head, helper/cut region or quantified proposition and changed hypothesis; check live handoffs first. Different seeds are not different scopes."
+    ],
+    "bottleneck_link": "Judge the actual current supplier contract and complete signed target/paid bill; frozen-profile ceilings require an applicability proof.",
+    "existing_checks": [
+      {
+        "evidence": "research/p104-literal-slot-defect/README.md",
+        "remaining": "Independently validate the stated scope or change its producer/consumer premise and pay the complete boundary.",
+        "scope": "PR #4133: literal-slot defect",
+        "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129",
+        "source_commit": "88666f1dee93fbd85b31fd5d6f91a219e111b5f4",
+        "status": "author-checked"
+      },
+      {
+        "evidence": "research/p104-uniform-commutation-gap/README.md",
+        "remaining": "Independently validate the stated scope or change its producer/consumer premise and pay the complete boundary.",
+        "scope": "PR #4136: uniform commutation gap",
+        "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129",
+        "source_commit": "281ce601a8be9db470de630759179c23e1dfaa88",
+        "status": "author-checked"
+      },
+      {
+        "evidence": "research/p104-uniform-encoding-gap/README.md",
+        "remaining": "Independently validate the stated scope or change its producer/consumer premise and pay the complete boundary.",
+        "scope": "PR #4140: uniform encoding gap",
+        "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129",
+        "source_commit": "de25c6525aa866962309df5d107b32d55e6e5628",
+        "status": "author-checked"
+      },
+      {
+        "evidence": "research/p104-source-chart-shortcut/README.md",
+        "remaining": "Independently validate the stated scope or change its producer/consumer premise and pay the complete boundary.",
+        "scope": "PR #4153: source-chart shortcut exhausts its optimistic allowance",
+        "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129",
+        "source_commit": "9123241fea53df77e51ffe30d9aca1625d4bf3a8",
+        "status": "author-checked"
+      },
+      {
+        "evidence": "research/p104-fiber-tag-seam/README.md",
+        "remaining": "Independently validate the stated scope or change its producer/consumer premise and pay the complete boundary.",
+        "scope": "PR #4154: fiber-tag seam mismatch",
+        "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129",
+        "source_commit": "4ffcdaee5d6255a9cea1fe53a5424435068089d0",
+        "status": "author-checked"
+      },
+      {
+        "evidence": "docs/research/pr-intake-evidence/pr5599-completion/PROOF-REVIEW.md",
+        "remaining": "The next experiment must identify uncovered source-specific work. Successor archive intake does not transfer this admission.",
+        "scope": "Selected PR5599: complete helper-subspace construction and independent caller replay; five framework assumptions remain.",
+        "selected_record_sha256": "2a0220e866417774606e0f991e41b9c1d26b1f43b97857238cf478dbc7d330b5",
+        "source_commit": "09dd0965711ca7eeb169057a420abab1c9052137",
+        "status": "reviewed"
+      }
+    ],
+    "first_experiment": "Start with the selected #5599 emitted word and review pending #5718 distinct input/output bases plus #5717/#5719 coverage before claiming work. Pick one uncovered source word, helper group and cut region. Prove the arbitrary-input relation and legal entry/exit corrections, then compare full target and paid profiles. Reject if completion, owned lifetimes or consumer costs repay the gain. A static pairing rank alone is not a physical split.",
+    "first_step": {
+      "command": [
+        "python3",
+        "-B",
+        "scripts/research_selected_baseline.py"
+      ],
+      "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY",
+      "inspect": "Read revision 8, the selected review and live exact-source handoffs. Then follow this card's bounded first_experiment.",
+      "scope": "Source-bound orientation only, not a supplier replay or theorem proof."
+    },
+    "id": "p104-side-correction",
+    "methods": [
+      "Construct and independently check one source-bound instance of the stated first experiment.",
+      "Seek an exact counterexample or target-specific complete-budget obstruction to that same proposed change."
+    ],
+    "overlap_terms": [
+      "P104",
+      "helper basis",
+      "helper split",
+      "5718",
+      "dyadic capacity"
+    ],
+    "question": "Can joint helper bases and a legal causal split improve the complete P104 productive/paid invoice?",
+    "scope_change_triggers": [
+      "Changing source head, helper/cut domain, operation alphabet or caller boundary without recording the new scope.",
+      "Treating an archived proposal or local numerical pass as complete supplier admission."
+    ],
+    "starting_points": [
+      "docs/research/current-priorities.md",
+      "docs/research/research-family-status.md",
+      "certificates/selected-result.json",
+      "docs/research/pr-intake-evidence/pr5599-completion/PROOF-REVIEW.md",
+      "research/p104-helper-subspace-splits/README.md",
+      "research/dyadic-helper-channel-capacity/README.md"
+    ]
+  },
+  "outcome": "negative-result",
+  "priority_revision": 8,
+  "schema_version": 1,
+  "scope_change_reason": "Tests a literal inverse A2 contraction on the funded-return #7314 word under fixed charts and endpoints.",
+  "scope_status": "changed",
+  "stop_rule": "Save the directed one-edit price before support. Cap at 128 owned-middle keys or 30 runner seconds. Build only for a legal exact signed contraction with positive fully charged directed margin.",
+  "task_id": "p104-side-correction"
+}
diff --git a/research/p104-cross-chart-add-contraction-bound/VERIFY.json b/research/p104-cross-chart-add-contraction-bound/VERIFY.json
new file mode 100644
index 0000000000..3660ab0e44
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/VERIFY.json
@@ -0,0 +1,19 @@
+{
+  "commands": [
+    {
+      "argv": [
+        "{python}",
+        "-I",
+        "-B",
+        "{package}/replay.py"
+      ],
+      "checks": "Rebuild the complete directed price and both independently matching fixed-chart ADD window censuses, with exact signed controls and stale-price and caller mutation checks.",
+      "timeout_seconds": 120
+    }
+  ],
+  "inputs": [],
+  "python": "3.12",
+  "requirements": [],
+  "schema_version": 1,
+  "status": "ready"
+}
diff --git a/research/p104-cross-chart-add-contraction-bound/admission/ADMITTED.json b/research/p104-cross-chart-add-contraction-bound/admission/ADMITTED.json
new file mode 100644
index 0000000000..d110075c07
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/admission/ADMITTED.json
@@ -0,0 +1,48 @@
+{
+  "assumptions": [
+    "native_all_columns",
+    "owned_erasure",
+    "compiler",
+    "precision_tape",
+    "analytic_recovery"
+  ],
+  "caller_sha256": "255d89f38cd45e38e5770f559bc43dc217e989032359768cdc7e8cdfd64b47bc",
+  "head": "9d0119eb12fbd9fa534b48cd37b68e7099757b91",
+  "hosted": {
+    "head": "9d0119eb12fbd9fa534b48cd37b68e7099757b91",
+    "run": "https://github.com/CrocSwap/integer-mult-bounds/actions/runs/43097104414",
+    "status": "queued"
+  },
+  "kappa": "0.003646221436446",
+  "source_history": {
+    "evidence": {
+      "path": "ANCHORED.json",
+      "sha256": "6378aff76d6d38b3863d039b2d1814db48c3105ffe933e96d9c449e799f624aa"
+    },
+    "stock_wrapper": "refused_shallow",
+    "validation": "exact_anchored_pins"
+  },
+  "stages": {
+    "caller": {
+      "exit": 0,
+      "path": "STAGE-caller.json",
+      "sha256": "a653be3423a20a9aa0b6c532fabf7bf96ea7e5feab6bd3924d171d2b9c5c5f76"
+    },
+    "early": {
+      "exit": 0,
+      "path": "STAGE-early.json",
+      "sha256": "cee13f7126ecdd375ad62b4a6773f3ac4182df52bc484dc2944a92ee31cd15f7"
+    },
+    "frontier": {
+      "exit": 0,
+      "path": "STAGE-frontier.json",
+      "sha256": "75b8ceb5547f9828b03d60b7646fc2fdb47a0d02b5715d8f7fb35d7de946694f"
+    },
+    "native": {
+      "exit": 0,
+      "path": "STAGE-native.json",
+      "sha256": "36ec25be5eb332a45f36d935fc1d0397e02e0b243ea38cc77d340592a33c478b"
+    }
+  },
+  "status": "independently_reproduced_comparable"
+}
diff --git a/research/p104-cross-chart-add-contraction-bound/admission/ANCHORED.json b/research/p104-cross-chart-add-contraction-bound/admission/ANCHORED.json
new file mode 100644
index 0000000000..eae2e41b61
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/admission/ANCHORED.json
@@ -0,0 +1,34 @@
+{
+  "base": "e54523517d0f03e58352e647c403a5af3e525a57",
+  "base_ancestry": "verified",
+  "evidence": [
+    {
+      "path": "TREE.txt",
+      "sha256": "6b7c113f9b02b45024c96eafb88256b76a8d3b3d91a1c1730090ded0d3be7246"
+    },
+    {
+      "path": "METADATA.stdout",
+      "sha256": "5873404cb4424dca918a00d503569f3c29a3190fd029a007e1afb2006399f647"
+    },
+    {
+      "path": "COMMIT.stdout",
+      "sha256": "fd1d72b0397b2e089e9e6ae467c9322a96a08628d7d511c68b417203b5b4cee8"
+    },
+    {
+      "path": "ARCHIVE.stdout",
+      "sha256": "fbfe4d32b4b7614ec0adbcf31d788706c305fa85c88db34822daa3e057b85599"
+    },
+    {
+      "path": "DECLARED-SOURCE-PINS.json",
+      "sha256": "aad96b05ba3fb91051f310120c1d32729d4fd6cf20395943c4aea4fcf1d2d4d4"
+    },
+    {
+      "path": "HISTORY.stderr",
+      "sha256": "c95523eb2c5d47834d66c8568f1d755cf2201e8a23b18ec0e1a5c3fab0eb9b74"
+    }
+  ],
+  "head": "9d0119eb12fbd9fa534b48cd37b68e7099757b91",
+  "method": "Exact fetched public head, reachable base, committed bytes and modes, and recursive used source pins",
+  "stock_full_history_wrapper": "refused_shallow",
+  "tree": "01407b9d59f3d2c157865cf329bc4682431fffbe"
+}
diff --git a/research/p104-cross-chart-add-contraction-bound/admission/ARCHIVE.stdout b/research/p104-cross-chart-add-contraction-bound/admission/ARCHIVE.stdout
new file mode 100644
index 0000000000..a4e78f3738
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/admission/ARCHIVE.stdout
@@ -0,0 +1,47 @@
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+PASS_ARCHIVE b3d68cf1db9bf493ded2d8f4cb922939edc0ef95 26 git_blob_pins=26 6e4e30926d7d554dfee3046eb064d082baa6139fd7c520a6d1c2eb5d3d7c18bf research/p104-unlocked-rank8-split/inputs/pr7120.tar
+PASS_ARCHIVE bd244b0e5034cb1b9f72641494c3421f757ec2e4 25 git_blob_pins=25 4b00a38b97ca6eb717ba238a2b69b07256b74c51064c6c74a8ed429f4155cc63 research/p104-chart120-peer-composition/inputs/pr7119.tar
+PASS_ARCHIVE 3f6ff8c34b22af12b40c5a8bcee585cd1aafdb9c 25 git_blob_pins=25 d07c3ebc0fd4f6b067bb0053c39520e9ab61fde144a133b34d4991b7e95eabd1 research/p104-funded-reciprocal-split/inputs/pr7118.tar
+PASS_ARCHIVE 092255ac8e9ed07ea59fee87c9711a5d72b10750 25 git_blob_pins=25 5dad877e3ecfaada8542c69d1516ecc951086d49cc00fc0647efcaa22defd080 research/p104-funded-residual-split/inputs/pr7117.tar
+PASS_ARCHIVE ee4a05f9c926cf85904c81b768d73acaf9e44b54 17 git_blob_pins=17 eff4dc88c670c15f231a60e3cddb8fc61d633d4f9ae2dc47be9597f4c5678d90 research/p104-funded-cohort-split/inputs/pr7116.tar
+RETAINED_MANIFEST_REFERENCE research/p104-output-rechart-composition/peer/INPUTS.json research/p104-output-rechart-composition/peer/inputs/pr7123.tar
+PASS_ARCHIVE 9ff298bd6547299dc5b263873bf8a400909e5501 31 git_blob_pins=31 578a8497cbd199d756bd1311bffee103c64d1556ddc915157f2a719105c23719 research/p104-temporal-chart595-split/inputs/methods7143.tar
+PASS_ARCHIVE a95783a8c861248a759136d4285ea725499cf231 30 git_blob_pins=30 66f517dd17dbdf1f3963dd183981b3e83129e6d6e80904aa73d8a8b83f22ffe0 research/p104-temporal-chart120-split/inputs/previous-causal-buffer.tar
+PASS_ARCHIVE 666fd749ec465de7238633a0c2fd5ee3081477e0 37 git_blob_pins=37 efa1c93816997998dd61d214aa7c4e312a43e131b30a374ffccce2d5ccc91f71 research/p104-causal-buffer-split/inputs/previous-composition.tar
+PASS_ARCHIVE 161e482bc2d8c78ecef96135430c60d49b8fc345 25 git_blob_pins=25 585abeb047f4c4b2d84a9a74c167fe9845850ed7521ea9f560031d5d5c82d084 research/p104-output-rechart-composition/inputs/pr7130.tar
+PASS_ARCHIVE 020d581d9856b6db83e448c3f20418bc63b72c34 30 git_blob_pins=30 834098d9b40ed09035fe6128b90805517dba7c9332ef191d55c48b40e72bb620 research/p104-nonunit-pivot-split/inputs/pr7123.tar
+PASS_ARCHIVE 98aad9eb0e7d7f985622a35c7981695fe680c68a 9 git_blob_pins=9 5c3ed6ee7454f95c02644f3937b6c4efef8af0428ec4a11aa4e7c286d8e148f8 research/p104-recharted-rank8-split/inputs/pr7122.tar
+PASS_ARCHIVE 1670baa28f5a9631286591068d7cc2934d2c2d37 25 git_blob_pins=0 dab5a4de50253d47234930cdef7c2f04b4d283acdf3bd8c636cb3279afabc35c research/p104-global-input-rechart/inputs/pr7121.tar
+PASS_ARCHIVE b3d68cf1db9bf493ded2d8f4cb922939edc0ef95 26 git_blob_pins=26 6e4e30926d7d554dfee3046eb064d082baa6139fd7c520a6d1c2eb5d3d7c18bf research/p104-unlocked-rank8-split/inputs/pr7120.tar
+PASS_ARCHIVE bd244b0e5034cb1b9f72641494c3421f757ec2e4 25 git_blob_pins=25 4b00a38b97ca6eb717ba238a2b69b07256b74c51064c6c74a8ed429f4155cc63 research/p104-chart120-peer-composition/inputs/pr7119.tar
+PASS_ARCHIVE 3f6ff8c34b22af12b40c5a8bcee585cd1aafdb9c 25 git_blob_pins=25 d07c3ebc0fd4f6b067bb0053c39520e9ab61fde144a133b34d4991b7e95eabd1 research/p104-funded-reciprocal-split/inputs/pr7118.tar
+PASS_ARCHIVE 092255ac8e9ed07ea59fee87c9711a5d72b10750 25 git_blob_pins=25 5dad877e3ecfaada8542c69d1516ecc951086d49cc00fc0647efcaa22defd080 research/p104-funded-residual-split/inputs/pr7117.tar
+PASS_ARCHIVE ee4a05f9c926cf85904c81b768d73acaf9e44b54 17 git_blob_pins=17 eff4dc88c670c15f231a60e3cddb8fc61d633d4f9ae2dc47be9597f4c5678d90 research/p104-funded-cohort-split/inputs/pr7116.tar
+RETAINED_MANIFEST_REFERENCE research/p104-output-rechart-composition/peer/INPUTS.json research/p104-output-rechart-composition/peer/inputs/pr7123.tar
diff --git a/research/p104-cross-chart-add-contraction-bound/admission/COMMIT.stdout b/research/p104-cross-chart-add-contraction-bound/admission/COMMIT.stdout
new file mode 100644
index 0000000000..954f40b33a
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/admission/COMMIT.stdout
@@ -0,0 +1 @@
+PASS_RESEARCH_COMMIT_BYTES {"commit": "9d0119eb12fbd9fa534b48cd37b68e7099757b91", "files": 30, "package": "research/p104-funded-863-return", "executable_modes_checked": true}
diff --git a/research/p104-cross-chart-add-contraction-bound/admission/DECLARED-SOURCE-PINS.json b/research/p104-cross-chart-add-contraction-bound/admission/DECLARED-SOURCE-PINS.json
new file mode 100644
index 0000000000..16045fd064
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/admission/DECLARED-SOURCE-PINS.json
@@ -0,0 +1,35 @@
+{
+  "base": "e54523517d0f03e58352e647c403a5af3e525a57",
+  "declared_sources": [
+    {
+      "git_blob": "75d77b328ea02ded535e7f23aee5b1e55d0bb1a8",
+      "path": "certificates/selected-result.json",
+      "sha256": "154c3d30455d778fd3343b6b4851f0fa4665f0f7625b0adb3675e2bafbbf6bf1",
+      "usage": "provenance"
+    },
+    {
+      "git_blob": "3404fbdd5e7529a0674eef26114b5071e4586cec",
+      "path": "docs/research/agent-task-catalog.json",
+      "sha256": "ead6cdc9d0af6d58e8a49744d8ec8c7c15e13d2ba93c276c434bcf9b51b93a81",
+      "usage": "provenance"
+    },
+    {
+      "git_blob": "3dd1af2285e597676725e85ad4f65e7ad326d695",
+      "path": "docs/research/pr-intake-evidence/pr7000-application/PROOF-REVIEW.md",
+      "sha256": "4501502c2ceb9759b20372435fe4beb51082c5a5e2910c1fd5dbe6edca415055",
+      "usage": "provenance"
+    },
+    {
+      "git_blob": "39e62cac780b662903582cb5f8684990fa779bb3",
+      "path": "research/final4610-independent-admission/checks/outer.py",
+      "sha256": "196be1bc2329500f2c7c995deaf5a82aecc5e27f0fef7805470cb65d187bb1c0",
+      "usage": "input"
+    },
+    {
+      "git_blob": "c9b816f8445be9dc19b2259e03e9d8709d18c87a",
+      "path": "certificates/frontier7000/CLAIM.json",
+      "sha256": "3f8add8252adb223b60418ec69351a69b6b5edfe601ec1c6b4b65cd9e2afd9b2",
+      "usage": "input"
+    }
+  ]
+}
diff --git a/research/p104-cross-chart-add-contraction-bound/admission/HISTORY.stderr b/research/p104-cross-chart-add-contraction-bound/admission/HISTORY.stderr
new file mode 100644
index 0000000000..e313449ead
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/admission/HISTORY.stderr
@@ -0,0 +1 @@
+source-history check requires full Git history
diff --git a/research/p104-cross-chart-add-contraction-bound/admission/METADATA.stdout b/research/p104-cross-chart-add-contraction-bound/admission/METADATA.stdout
new file mode 100644
index 0000000000..a6c9fb298a
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/admission/METADATA.stdout
@@ -0,0 +1 @@
+PASS_PACKAGE_METADATA_AND_PINS (not a mathematical acceptance check)
diff --git a/research/p104-cross-chart-add-contraction-bound/admission/STAGE-caller.json b/research/p104-cross-chart-add-contraction-bound/admission/STAGE-caller.json
new file mode 100644
index 0000000000..d6486a8421
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/admission/STAGE-caller.json
@@ -0,0 +1,62 @@
+{
+  "exit": 0,
+  "head": "9d0119eb12fbd9fa534b48cd37b68e7099757b91",
+  "method": "Completed registered runner with exact frozen-receipt comparison",
+  "registered_stdout_sha256": "4337cb057b7e3ac6871a3742bc257bf2a390c8fc6ea54269a0c02586feb66c76",
+  "stage": "caller",
+  "stdout": [
+    "CHECK Fresh complete signed caller, all physical catalogue maps, compiler, grids, precision, fixed tape and all outer predicates.",
+    "PASS two reconstructed invoices and both exact price engines 0.003646221436446",
+    "RUN emit_odd_type_b.py",
+    "caller 0 terms 41",
+    "caller 500 terms 1178",
+    "caller 1000 terms 2699",
+    "caller 1500 terms 1262",
+    "caller 2000 terms 881",
+    "caller 2500 terms 2484",
+    "caller 3000 terms 765",
+    "caller 3500 terms 640",
+    "caller 0 terms 41",
+    "caller 500 terms 1178",
+    "caller 1000 terms 2701",
+    "caller 1500 terms 1264",
+    "caller 2000 terms 881",
+    "caller 2500 terms 2485",
+    "caller 3000 terms 765",
+    "caller 3500 terms 641",
+    "PASS exact short type B 3877 events Counter({8: 34, 9: 4, 56: 4, 48: 4, 40: 4, 32: 4, 24: 4, 16: 4, 64: 2})",
+    "RUN emit_odd_type_ab.py",
+    "caller 0 terms 73",
+    "caller 500 terms 1076",
+    "caller 1000 terms 2476",
+    "caller 1500 terms 1334",
+    "caller 2000 terms 2078",
+    "caller 2500 terms 1235",
+    "caller 3000 terms 2978",
+    "caller 3500 terms 2335",
+    "caller 4000 terms 1046",
+    "caller 4500 terms 299",
+    "PASS exact short A+B 4783 events 3752 ['1823110718223117168344442278449/500000000000000000000000000000000', '36462214364462343366888845568981/10000000000000000000000000000000000']",
+    "RUN check_odd_caller_exact_grid.py",
+    "PASS odd caller grid [381, 69, 62] [381, 3, 2] scale bits 10 checked 176874",
+    "RUN check_odd_physical_binding.py",
+    "PASS exact physical binding 110536 13600 22461",
+    "RUN check_odd_precision.py",
+    "PASS short precision 406 1215 2430",
+    "RUN check_odd_partial_admission.py",
+    "ordinary bill 782663376",
+    "PASS partial signed short gates 782663376 1823110718223/500000000000000 {'strict_count': 54, 'functional_count': 4, 'minimum_margin': '1/1000000000000000000', 'BIT_just_below_effective_rejected': True}",
+    "RUN check_odd_fixed_tape_counts.py",
+    "PASS finite tariff substitution 43822560 25480464288 precision 2430",
+    "RUN complete catalogue 0 1000",
+    "RUN complete catalogue 1000 2000",
+    "RUN complete catalogue 2000 3000",
+    "RUN complete catalogue 3000 3037",
+    "PASS complete 8+9 component application checks 1823110718223/500000000000000 3037 110536",
+    "PASS_FUNDED_863_RETURN_CALLER 1823110718223/500000000000000"
+  ],
+  "verified_frozen_receipt": {
+    "path": "research/p104-funded-863-return/RESULT.json",
+    "sha256": "432191ca572c9221935787ebe392699e3a1ef4512b0bf4fbc704657321cc87ca"
+  }
+}
diff --git a/research/p104-cross-chart-add-contraction-bound/admission/STAGE-early.json b/research/p104-cross-chart-add-contraction-bound/admission/STAGE-early.json
new file mode 100644
index 0000000000..332c376157
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/admission/STAGE-early.json
@@ -0,0 +1,15 @@
+{
+  "exit": 0,
+  "head": "9d0119eb12fbd9fa534b48cd37b68e7099757b91",
+  "method": "Completed registered runner with exact frozen-receipt comparison",
+  "registered_stdout_sha256": "4337cb057b7e3ac6871a3742bc257bf2a390c8fc6ea54269a0c02586feb66c76",
+  "stage": "early",
+  "stdout": [
+    "CHECK Exact complete source closure, predecessor/candidate reconstruction, arbitrary-input native adjoint, complete17-stage invoice and both directed prices.",
+    "PASS_EXACT_NATIVE_AND_PRICE_ONLY 0.003646221436446"
+  ],
+  "verified_frozen_receipt": {
+    "path": "research/p104-funded-863-return/EARLY-RESULT.json",
+    "sha256": "b5043855411432b24336ecc443cba9ebfae6392e2045ddd01c87cfe2c51f5f08"
+  }
+}
diff --git a/research/p104-cross-chart-add-contraction-bound/admission/STAGE-frontier.json b/research/p104-cross-chart-add-contraction-bound/admission/STAGE-frontier.json
new file mode 100644
index 0000000000..5b940c0b6a
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/admission/STAGE-frontier.json
@@ -0,0 +1,16 @@
+{
+  "exit": 0,
+  "head": "9d0119eb12fbd9fa534b48cd37b68e7099757b91",
+  "method": "Completed registered runner with exact frozen-receipt comparison",
+  "registered_stdout_sha256": "4337cb057b7e3ac6871a3742bc257bf2a390c8fc6ea54269a0c02586feb66c76",
+  "stage": "frontier",
+  "stdout": [
+    "CHECK Independent outer proposal, all nine savings, strict slack and actual dirty-COPY/BIT controls.",
+    "PASS_FUNDED_863_RETURN_FRONTIER_PROPOSAL 1823110718223/500000000000000",
+    "PASS_REGISTERED_RESEARCH_PACKAGE research/p104-funded-863-return outcome=completed"
+  ],
+  "verified_frozen_receipt": {
+    "path": "research/p104-funded-863-return/PROPOSED-CLAIM.json",
+    "sha256": "41a08c4b7d0b2de4af22bc778948a143027eb3065fff47b0400b6ded1cc52778"
+  }
+}
diff --git a/research/p104-cross-chart-add-contraction-bound/admission/STAGE-native.json b/research/p104-cross-chart-add-contraction-bound/admission/STAGE-native.json
new file mode 100644
index 0000000000..c829cebce8
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/admission/STAGE-native.json
@@ -0,0 +1,37 @@
+{
+  "exit": 0,
+  "head": "9d0119eb12fbd9fa534b48cd37b68e7099757b91",
+  "method": "Completed registered runner with exact frozen-receipt comparison",
+  "registered_stdout_sha256": "4337cb057b7e3ac6871a3742bc257bf2a390c8fc6ea54269a0c02586feb66c76",
+  "stage": "native",
+  "stdout": [
+    "CHECK Fresh full forward/adjoint, physical chart columns and phases, ownership, grid, precision, ordinary costs and rejecting controls.",
+    "PASS whole source/operator, forward/adjoint, causal charts and fresh native grid",
+    "caller 0 terms 77",
+    "caller 500 terms 621",
+    "caller 1000 terms 2648",
+    "caller 1500 terms 3619",
+    "caller 2000 terms 1590",
+    "caller 2500 terms 398",
+    "caller 3000 terms 1918",
+    "caller 3500 terms 1797",
+    "caller 4000 terms 1817",
+    "caller 4500 terms 912",
+    "caller 5000 terms 167",
+    "PASS full ingredient invoice, ordinary, precision, both prices and outer gates",
+    "events 76461 public 1501 owned roles 68 paid {1: 4001, 2: 853, 3: 829, 4: 223, 5: 346, 6: 13, 7: 10, 8: 5} owned UP {1: 10, 2: 4, 3: 1, 4: 6, 5: 1, 6: 1} helpers {1: 18, 2: 21, 3: 47, 4: 225, 5: 80, 6: 43, 7: 19, 8: 32, 9: 616}",
+    "endpoint bad rows 0 odd certificate S 1125",
+    "PASS_HOST3 decoupled ports 96 hosted ports 8",
+    "gate interpreter agrees with the library on 4 exact state vectors",
+    "replayed 76461 events, 2951 chart pairs, 23s",
+    "prime 1000000009 seed 11: helper rows bad 0 (of 1101), X rows bad 0, Y rows bad 0, X2 rows bad 0, Y2 rows bad 0 (of 104 ports; 96 with second mains)",
+    "tableau on 104 ports: XX!=D 0 YY!=D 0 YX!=Q^-1D 0 XY!=QD 0 | controls matching (must be 0): 0 0",
+    "PASS_PHYSICAL 30s",
+    "PASS affected Gaussian chart columns, phase, corruption controls and finite physical replay",
+    "PASS_FUNDED_863_RETURN_NATIVE 911397594381/250000000000000"
+  ],
+  "verified_frozen_receipt": {
+    "path": "research/p104-funded-863-return/NATIVE-RESULT.json",
+    "sha256": "336f463da5afe5b60bfd3b9f0ce8aeea5a5feb1f854613bf4218ba0b28b3371b"
+  }
+}
diff --git a/research/p104-cross-chart-add-contraction-bound/admission/TREE.txt b/research/p104-cross-chart-add-contraction-bound/admission/TREE.txt
new file mode 100644
index 0000000000..be5ba3cedd
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/admission/TREE.txt
@@ -0,0 +1,34 @@
+head=9d0119eb12fbd9fa534b48cd37b68e7099757b91
+tree=01407b9d59f3d2c157865cf329bc4682431fffbe
+parent=d2e54af81f9dda6487636b79d4964a2385d89b2b
+ab188e5800e43f7eaaa89c6cec47db4700c3fca7
+100644 blob c9b816f8445be9dc19b2259e03e9d8709d18c87a	certificates/frontier7000/CLAIM.json
+100644 blob 39e62cac780b662903582cb5f8684990fa779bb3	research/final4610-independent-admission/checks/outer.py
+100644 blob 8cf1ee78a8edd3b62757203f6ac64c2084a2ac67	research/p104-funded-863-return/EARLY-RESULT.json
+100644 blob f25e94b5af3c00f66650f3b5d7ea8b255d65634f	research/p104-funded-863-return/ENVIRONMENT.json
+100644 blob 535e32faf1ef47c3f94f0158c371a5ec3f0bf401	research/p104-funded-863-return/INPUTS.json
+100644 blob 311051d32ccd7d215461f5724c4efc61bb930b47	research/p104-funded-863-return/NATIVE-RESULT.json
+100644 blob 14643eaae015e1fc1944b1e5cabb6d14751a7201	research/p104-funded-863-return/NOTICE
+100644 blob f75df1b411b6044b88e6f7718a199f8bd443df2c	research/p104-funded-863-return/PROOF.md
+100644 blob dc54adae9b9504a4282eed4a37a3b254cd29a8d0	research/p104-funded-863-return/PROPOSED-CLAIM.json
+100644 blob fa4be3de79983d8668b98bf422b41a3373dd97e1	research/p104-funded-863-return/README.md
+100644 blob 8c914c84950c60c0a3232de2356ba21bf88ab26f	research/p104-funded-863-return/REFERENCE.json
+100644 blob ee74e523d3d74af9a4483e89e9a6eb6812dadcab	research/p104-funded-863-return/REPLAY.txt
+100644 blob 5f4d265ce66229590b0648815af2a6d51394a78a	research/p104-funded-863-return/RESULT.json
+100644 blob 6b97e903a6df8de437068a0e2907823885928053	research/p104-funded-863-return/SOURCES.json
+100644 blob f3d65174b1f113355d729c6b056cae9e9d9f2d74	research/p104-funded-863-return/TASK.json
+100644 blob cc98ee2a5c5a79e670094a6f55c7cacda8fd330c	research/p104-funded-863-return/VERIFY.json
+100644 blob 7152c37f803fa7abe40c7f58bd1b9fca8487adcb	research/p104-funded-863-return/WITNESS.json
+100644 blob 3939a3cc4c516cf2f184bd401fbeb0d61f5cdd40	research/p104-funded-863-return/WORD.json.gz
+100644 blob 5086291567c04035ed971b4a6c5584f6fbae3e94	research/p104-funded-863-return/adapt.py
+100644 blob 8b5581755010c7ce4c9be83f410bdbfaab728675	research/p104-funded-863-return/certificate.py
+100644 blob 8af4c466197238dd22dbd10763f11eaf2477824d	research/p104-funded-863-return/construct.py
+100644 blob f8cb37f00bcd197d77bbb205dae3c1a40c0aa680	research/p104-funded-863-return/derive_grid.py
+100644 blob 106de5d91dae49141f5a2317bed104d8ec07b97f	research/p104-funded-863-return/frontier.py
+100644 blob 5bfb7dc2a181c1ce8c3a29204c10bc5c6c48c6f9	research/p104-funded-863-return/inputs/pr7277.tar.gz
+100644 blob 2f93d314459e0aacc48a3072f4c65f36d8b6dbfe	research/p104-funded-863-return/packing_reference.py
+100644 blob 5ca1d776063db2d674931e4d5f92b8e3c48cd779	research/p104-funded-863-return/price.py
+100644 blob 3c4573002537f10b0cffa4a70f4463c1b287acfd	research/p104-funded-863-return/source.py
+100644 blob a8f8b1fe94d43538d597b5bf17b6eb762f8fdaab	research/p104-funded-863-return/verify_caller.py
+100644 blob 9f2393f5fe6a1c78637f0542cfeba843413b2735	research/p104-funded-863-return/verify_early.py
+100644 blob 48517989abdb534a5f43a1f5e8e1b17e947730dd	research/p104-funded-863-return/verify_native.py
diff --git a/research/p104-cross-chart-add-contraction-bound/engines/a2.py b/research/p104-cross-chart-add-contraction-bound/engines/a2.py
new file mode 100644
index 0000000000..44b1eab48d
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/engines/a2.py
@@ -0,0 +1,275 @@
+"""Price and verify one cross-chart owned-middle A2 contraction."""
+
+from argparse import ArgumentParser
+from collections import Counter, deque
+from fractions import Fraction
+from functools import cache
+from gzip import decompress
+from hashlib import sha256
+from itertools import permutations
+from json import dumps, loads
+from pathlib import Path
+from runpy import run_path
+from time import monotonic
+
+HEAD = '9d0119eb12fbd9fa534b48cd37b68e7099757b91'
+CALLER = '07a76c5e2738882c0cb322278e56f6cae3c9885d'
+WORD = 'inputs/7314/WORD.json.gz'
+R58 = 'inputs/r58/PRICE.json'
+CROSSING = Fraction('0.0036462214364462343366888845568981')
+PINS = {
+    'admission/ADMITTED.json':'41b8a189dffeb768e5843446cdc469f9cc2f0aa038d0a593cf2be43aa009a9a3',
+    'inputs/7113/CALLER.json':'255d89f38cd45e38e5770f559bc43dc217e989032359768cdc7e8cdfd64b47bc',
+    'inputs/7298/pricing.py':'f4d0b6c9314b838d882d6d06020f24881c19a3fda97a7c00df87b1e920785182',
+    'inputs/7314/EARLY-RESULT.json':'b5043855411432b24336ecc443cba9ebfae6392e2045ddd01c87cfe2c51f5f08',
+    'inputs/7314/NATIVE-RESULT.json':'336f463da5afe5b60bfd3b9f0ce8aeea5a5feb1f854613bf4218ba0b28b3371b',
+    WORD:'c404b9b61220e6cf740d85276df2828bbb4a9d68a4d44b5e283f8d96f78c0fd9',
+    R58:'8d70669e720faabc932366dafbc1bd1fdaef6f088c4eb02b0ea3707ba309ab53',
+}
+EXCLUDE = {863,1355,1568}
+
+
+def unique(items):
+    out = dict(items)
+    if len(out) != len(items):
+        raise ValueError('Duplicate JSON key')
+    return out
+
+
+def decode(raw):
+    return loads(raw, object_pairs_hook=unique)
+
+
+def auth(root):
+    files = {}
+    for k,v in PINS.items():
+        raw = (root/k).read_bytes()
+        if sha256(raw).hexdigest() != v:
+            raise ValueError(f'Changed input {k}')
+        files[k] = raw
+    adm = decode(files['admission/ADMITTED.json'])
+    assert adm['head'] == HEAD and adm['caller_sha256'] == PINS['inputs/7113/CALLER.json']
+    assert adm['status'] == 'independently_reproduced_comparable'
+    assert set(adm['stages']) == {'early','native','caller','frontier'}
+    for row in [*adm['stages'].values(),adm['source_history']['evidence']]:
+        assert sha256((root/'admission'/row['path']).read_bytes()).hexdigest() == row['sha256']
+    return files
+
+
+def scan_stock(word, deadline):
+    tape = word['program']
+    n = word['public']
+    labels = dict(enumerate(word['initial']))
+    frames = word['frames']
+
+    @cache
+    def span(f):
+        s = {0}
+        for x in frames[f]:
+            assert x not in s
+            s.update(x^v for v in tuple(s))
+        return s
+
+    def move_rank(a,b,owned):
+        if span(a) < span(b) or (owned and span(b) < span(a)):
+            return abs(len(frames[b])-len(frames[a]))
+        return None
+
+    history = deque(maxlen=3)
+    motifs = []
+    counts, paid = Counter(), Counter()
+    for clock,event in enumerate(tape):
+        if monotonic() >= deadline:
+            return {'visited':clock,'counts':counts,'keys':motifs,'native_paid':paid,'complete':False}, move_rank
+        op,d,*args = event
+        if op == 'MOVE':
+            a,b,own = args
+            assert labels[d] == a and own == (d >= n)
+            rank = move_rank(a,b,own)
+            assert rank
+            paid[rank] += 1
+            labels[d] = b
+            continue
+        if op in ('ADD','COPY'):
+            src,coef,chart = args
+            assert labels[d] == labels[src] == chart and src != d
+        elif op == 'INIT':
+            assert d >= n and d not in labels
+            labels[d] = args[0]
+        elif op == 'CLEAR':
+            assert d >= n and labels.pop(d) == args[0]
+        else:
+            assert op == 'SCALE' and labels[d] == args[-1]
+        if op != 'ADD':
+            history.clear()
+            continue
+        history.append(clock)
+        if len(history) != 3:
+            continue
+        counts['consecutive_add_triples'] += 1
+        triple = tuple(history)
+        events = [tape[k] for k in triple]
+        if len({e[-1] for e in events}) == 1:
+            continue
+        counts['cross_chart_triples'] += 1
+        roles = {role for e in events for role in e[1:3]}
+        if len(roles) != 3:
+            continue
+        counts['three_role_cross_chart_triples'] += 1
+        if roles & EXCLUDE:
+            continue
+        for a,b,z in permutations(triple):
+            first,second,outer = (tape[i] for i in (a,b,z))
+            if first[2] != second[1] or outer[1:3] != [first[1],second[2]]:
+                continue
+            counts['directed_triangle_any_middle'] += 1
+            if first[2] >= n:
+                motifs.append({'clocks':triple,'xy':[a,b],'correction':z,'roles':sorted(roles)})
+    assert labels == dict(enumerate(word['final']))
+    assert len({tuple(m['clocks']) for m in motifs}) == len(motifs)
+    return {'visited':len(tape),'counts':counts,'keys':motifs,'native_paid':paid,'complete':True}, move_rank
+
+
+def price_window(word, item, move_rank):
+    tape,public = word['program'],word['public']
+    lo,_,hi = item['clocks']
+    roles = set(item['roles'])
+    entry,exit,old = {},{},Counter()
+    for clock in range(lo,hi+1):
+        e = tape[clock]
+        if e[0] == 'MOVE' and e[1] in roles:
+            _,r,a,b,own = e
+            entry.setdefault(r,a)
+            exit[r] = b
+            old[move_rank(a,b,own)] += 1
+        elif e[0] == 'ADD':
+            for r in e[1:3]:
+                entry.setdefault(r,e[-1])
+                exit[r] = e[-1]
+        else:
+            assert e[0] == 'MOVE'
+    assert set(entry) == set(exit) == roles
+    order = sorted(item['xy'],reverse=True)
+    current = entry.copy()
+    new = Counter()
+    edges = []
+    points = [([(r,tape[i][-1]) for r in tape[i][1:3]],i) for i in order]
+    points.append((sorted(exit.items()),hi+1))
+    for constraints, before in points:
+        for r,end in constraints:
+            start = current[r]
+            if start == end:
+                continue
+            rank = move_rank(start,end,r>=public)
+            if rank is None:
+                return {'legal':False,'blocked_edge':[r,start,end], 'entry':entry,'exit':exit}
+            new[rank] += 1
+            edges.append({'role':r,'from':start,'to':end,'rank':rank,'before_original_clock':before})
+            current[r] = end
+    assert current == exit
+    return {'legal':True,'entry':entry,'exit':exit,'old_local_paid':dict(old),'new_local_paid':dict(new),
+            'new_edges':edges,'new_add_order':order}
+
+
+def action(events, roles):
+    rows = {r:[Fraction(r==c) for c in roles] for r in roles}
+    for op,d,s,a,_ in events:
+        assert op == 'ADD'
+        rows[d] = [x+Fraction(a)*y for x,y in zip(rows[d],rows[s],strict=True)]
+    return rows
+
+
+def controls(directed, net):
+    x = ['ADD',0,2,'2',0]
+    y = ['ADD',2,1,'3',0]
+    z = ['ADD',0,1,'6',0]
+    # Chronological y,x adds +ab at (0,1). Chronological x,y,z does as well.
+    assert action([x,y,z],[0,1,2]) == action([y,x],[0,1,2])
+    bad = z[:]
+    bad[3] = '-6'
+    assert action([x,y,bad],[0,1,2]) != action([y,x],[0,1,2])
+    delta = {1:34,2:-17}
+    quoted = net.copy()
+    quoted.update(delta)
+    assert directed(quoted,CROSSING)[0] > 0
+    quoted[1] -= 1
+    assert directed(quoted,CROSSING)[1] < 0
+    return ['exact_signed_a2','wrong_correction_sign','funded_hypothetical_price','extra_paid_rank_one_kills']
+
+
+def build_price(root, files, deadline):
+    early = decode(files['inputs/7314/EARLY-RESULT.json'])
+    inv = early['invoice']
+    r58 = decode(files[R58])
+    assert r58['head'] == HEAD and r58['caller'] == CALLER
+    assert r58['paid'] == inv['P'] and r58['targets'] == inv['T']
+    assert (sum(inv['P'].values()),sum(inv['T'].values()),inv['S']) == (110536,22461,1424)
+    assert Fraction(r58['crossing_upper']) == CROSSING
+    net = Counter({int(k):v for k,v in inv['T'].items()})
+    net.subtract({int(k):v for k,v in inv['P'].items()})
+    directed = run_path(str(root/'inputs/7298/pricing.py'))['cost']
+    old = directed(net,CROSSING)
+    assert old[1] < 0
+    check = controls(directed,net)
+    word = decode(decompress(files[WORD]))
+    stock, move_rank = scan_stock(word,deadline)
+    if stock['complete']:
+        reference = decode(files['inputs/7314/NATIVE-RESULT.json'])['native']['paid']
+        assert {str(k):v for k,v in stock['native_paid'].items()} == reference
+    rows = []
+    keys = stock['keys']
+    for item in keys[:128]:
+        if monotonic() >= deadline:
+            break
+        geometry = price_window(word,item,move_rank)
+        row = {'key':item,'geometry':geometry}
+        if geometry['legal']:
+            delta = Counter({k:17*v for k,v in geometry['old_local_paid'].items()})
+            delta.subtract({k:17*v for k,v in geometry['new_local_paid'].items()})
+            changed = net.copy()
+            changed.update(delta)
+            row['paid_old_minus_new'] = dict(delta)
+            row['credit'] = list(map(str,directed(delta,CROSSING)))
+            row['complete_margin'] = list(map(str,directed(changed,CROSSING)))
+        rows.append(row)
+    remaining = keys[len(rows):]
+    upper = max([Fraction(0)]+[Fraction(r['credit'][1]) for r in rows if 'credit' in r])
+    doc = {'head':HEAD,'caller':CALLER,'input_sha256':PINS,'crossing_upper':str(CROSSING),
+           'old_margin':list(map(str,old)),'paid':inv['P'],'targets':inv['T'],'controls':check,
+           'stock':stock,'rows':rows,'unvisited_keys':remaining,
+           'whole_one_edit_upper_for_visited_keys':str(upper),'cases_cap':128,'seconds_cap':30}
+    return doc,word
+
+
+def support(price,word):
+    tape = word['program']
+    rows = []
+    for row in price['rows']:
+        key = row['key']
+        before = action([tape[k] for k in key['clocks']],key['roles'])
+        after = action([tape[k] for k in sorted(key['xy'],reverse=True)],key['roles'])
+        exact = before == after
+        funded = 'complete_margin' in row and Fraction(row['complete_margin'][0]) > 0
+        rows.append({'key':key,'exact_identity':exact,'positive_price':funded,
+                     'candidate':exact and funded})
+    return {'head':HEAD,'all_verified_keys':rows,'survivors':[r['key'] for r in rows if r['candidate']],
+            'unresolved':len(price['unvisited_keys'])+(not price['stock']['complete'])}
+
+
+if __name__ == '__main__':
+    parser = ArgumentParser(description=__doc__)
+    parser.add_argument('root',type=Path)
+    parser.add_argument('mode',choices=['price','support'])
+    parser.add_argument('--price-sha')
+    args = parser.parse_args()
+    start = monotonic()
+    frozen,word = build_price(args.root,auth(args.root),start+27)
+    if args.mode == 'price':
+        result = frozen
+    else:
+        raw = (args.root/'PRICE.json').read_bytes()
+        assert sha256(raw).hexdigest() == args.price_sha
+        assert decode(raw) == decode(dumps(frozen))
+        result = support(frozen,word)
+        result['price_sha256'] = args.price_sha
+    print(dumps(result,sort_keys=True,indent=2))
diff --git a/research/p104-cross-chart-add-contraction-bound/engines/compare.py b/research/p104-cross-chart-add-contraction-bound/engines/compare.py
new file mode 100644
index 0000000000..f8071a765a
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/engines/compare.py
@@ -0,0 +1,44 @@
+"""Compare the exact A2 stock and preserve public-middle diagnostics."""
+from argparse import ArgumentParser
+from hashlib import sha256
+from json import dumps, loads
+from pathlib import Path
+
+
+def main(root):
+    def read(path):
+        return loads((root/path).read_bytes())
+    p = read('PRICE.json')
+    s = read('SUPPORT.json')
+    g = read('independent/run/GEOMETRY.json')
+    b = read('independent/run/RESULT.json')
+    price_pin = sha256((root/'PRICE.json').read_bytes()).hexdigest()
+    geometry_pin = sha256((root/'independent/run/GEOMETRY.json').read_bytes()).hexdigest()
+    assert p['head'] == s['head'] == g['head'] == b['head']
+    assert s['price_sha256'] == g['primary_price_sha256'] == price_pin
+    assert b['geometry_sha256'] == geometry_pin
+    assert p['stock']['complete'] and p['stock']['visited'] == 76461
+    assert p['stock']['native_paid'] == g['old_native_paid_histogram']
+    assert b['scope_exhausted'] and s['unresolved'] == 0
+    assert not any((p['unvisited_keys'],b['unresolved'],p['rows'],s['survivors'],b['surviving']))
+    assert g['structural_count'] == g['geometry_checked'] == 0
+    a, z = p['stock']['counts'],g['structural_filter_counts']
+    for first,second in [('consecutive_add_triples','all_add_triples'),('cross_chart_triples','cross_chart'),
+                         ('directed_triangle_any_middle','directed_triangles'),('three_role_cross_chart_triples','exactly_three_roles')]:
+        assert a[first] == z[second]
+    diagnostics = []
+    for row in g['excluded_public_middle_diagnostics']:
+        assert not row['geometry']['legal'] and row['geometry']['invalid_edges']
+        diagnostics.append({'clocks':row['clocks'],'middle':row['middle'],
+                            'illegal_edges':row['geometry']['invalid_edges']})
+    assert len(diagnostics) == 2
+    return {'head':p['head'],'price_sha256':price_pin,'independent_geometry_sha256':geometry_pin,
+            'counts':a,'owned_middle_keys':0,'public_middle_diagnostics':diagnostics,
+            'compatible_saving_upper':0,'unresolved':0}
+
+
+if __name__ == '__main__':
+    p=ArgumentParser(description=__doc__)
+    p.add_argument('root',type=Path)
+    a=p.parse_args()
+    print(dumps(main(a.root),sort_keys=True,indent=2))
diff --git a/research/p104-cross-chart-add-contraction-bound/engines/reverse_windows.py b/research/p104-cross-chart-add-contraction-bound/engines/reverse_windows.py
new file mode 100644
index 0000000000..ef3835b11f
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/engines/reverse_windows.py
@@ -0,0 +1,368 @@
+"""Independent reverse-chart and signed scalar audit of R60 ADD contractions."""
+from argparse import ArgumentParser
+from collections import Counter, defaultdict
+from fractions import Fraction as Q
+from functools import cache
+import gzip
+from hashlib import sha256
+from itertools import pairwise
+import json
+from pathlib import Path
+import runpy
+from signal import SIGALRM, alarm, signal
+from time import monotonic
+
+HEAD='9d0119eb12fbd9fa534b48cd37b68e7099757b91'
+WORD='7314/WORD.json.gz'
+CALLER='7113/CALLER.json'
+BASE='BASE-PRICE.json'
+TARIFF='7298/pricing.py'
+PINS={
+    WORD:'c404b9b61220e6cf740d85276df2828bbb4a9d68a4d44b5e283f8d96f78c0fd9',
+    CALLER:'255d89f38cd45e38e5770f559bc43dc217e989032359768cdc7e8cdfd64b47bc',
+    BASE:'8d70669e720faabc932366dafbc1bd1fdaef6f088c4eb02b0ea3707ba309ab53',
+    TARIFF:'f4d0b6c9314b838d882d6d06020f24881c19a3fda97a7c00df87b1e920785182',
+}
+EXCLUDE={863,1355,1568}
+
+
+def decode(raw):
+    def unique(pairs):
+        obj=dict(pairs)
+        assert len(obj)==len(pairs),'duplicate JSON key'
+        return obj
+    return json.loads(raw,object_pairs_hook=unique)
+
+
+def save(out,name,record):
+    tmp=out/(name+'.tmp')
+    tmp.write_text(json.dumps(record,indent=2,sort_keys=True)+'\n')
+    tmp.replace(out/name)
+
+
+def frames(word):
+    @cache
+    def span(f):
+        result={0}
+        for bit in word['frames'][f]:
+            assert bit not in result
+            result|={x^bit for x in result}
+        return result
+
+    @cache
+    def directed(a,b,owned):
+        if a==b:
+            return 0
+        x,y=span(a),span(b)
+        if x<y or owned and y<x:
+            return abs(len(word['frames'][a])-len(word['frames'][b]))
+        return None
+    return directed
+
+
+def structure(program,public,deadline):
+    previous=[]
+    stock,public_diagnostics=[],[]
+    inspected=Counter()
+    for i,e in enumerate(program):
+        if monotonic()>=deadline:
+            return stock,public_diagnostics,inspected,i
+        if e[0]=='MOVE':
+            continue
+        previous=(previous+[i])[-3:]
+        if len(previous)!=3:
+            continue
+        inspected['normalized_windows']+=1
+        events=[program[t] for t in previous]
+        if any(x[0]!='ADD' for x in events):
+            continue
+        inspected['all_add_triples']+=1
+        if len({x[-1] for x in events})<2:
+            continue
+        inspected['cross_chart']+=1
+        roles=set(x for row in events for x in row[1:3])
+        if len(roles)!=3:
+            continue
+        inspected['exactly_three_roles']+=1
+        if roles&EXCLUDE:
+            continue
+        edge={tuple(row[1:3]):t for t,row in zip(previous,events,strict=True)}
+        if len(edge)!=3:
+            continue
+        chains=[]
+        for (i_role,j),x in edge.items():
+            for (k_role,l),y in edge.items():
+                if k_role==j and (i_role,l) in edge and len({i_role,j,l})==3:
+                    chains.append((i_role,j,l,x,y,edge[i_role,l]))
+        if not chains:
+            continue
+        assert len(chains)==1
+        inspected['directed_triangles']+=1
+        i_role,j,k,x,y,z=chains[0]
+        old_first,old_last=previous[0],previous[-1]
+        surviving=sorted((x,y),reverse=True)
+        slots=sorted((x,y))
+        destination = stock if j>=public else public_diagnostics
+        destination.append(dict(clocks=previous,roles=sorted(roles),middle=j,chain_roles=[i_role,j,k],
+                                x=x,y=y,correction=z,new_order=surviving,new_scalar_slots=slots,
+                                first=old_first,last=old_last))
+    return stock,public_diagnostics,inspected,None
+
+
+def reverse_charts(word,stock,directed,deadline):
+    tape=word['program']
+    charts=word['final']+[None]*word['owned_fields']
+    public=word['public']
+    enter,leave=defaultdict(list),defaultdict(list)
+    for n,row in enumerate(stock):
+        enter[row['first']].append(n)
+        leave[row['last']].append(n)
+    entries,exits={},{}
+    paid=Counter()
+    for i in range(len(tape)-1,-1,-1):
+        if monotonic()>=deadline:
+            return entries,exits,paid,i
+        for n in leave.get(i,()):
+            exits[n]={r:charts[r] for r in stock[n]['roles']}
+        op,d,*args=tape[i]
+        if op=='MOVE':
+            a,b,owned=args
+            assert owned==(d>=public) and charts[d]==b
+            size=directed(a,b,owned)
+            assert size
+            paid[size]+=1
+            charts[d]=a
+        elif op in ('INIT','CLEAR'):
+            f,=args
+            assert d>=public and charts[d]==(f if op=='INIT' else None)
+            charts[d]=None if op=='INIT' else f
+        else:
+            assert op in ('ADD','COPY','SCALE') and Q(args[-2])
+            assert charts[d]==args[-1]
+            if op in ('ADD','COPY'):
+                s=args[0]
+                assert s!=d and charts[s]==args[-1]
+                if op=='COPY':
+                    assert d>=public
+        for n in enter.get(i,()):
+            entries[n]={r:charts[r] for r in stock[n]['roles']}
+    assert charts==word['initial']+[None]*word['owned_fields']
+    return entries,exits,paid,None
+
+
+def window_geometry(program,case,entry,exit_,public,directed):
+    touched=set(case['roles'])
+    assert set(entry)==set(exit_)==touched and None not in (*entry.values(),*exit_.values())
+    old,retained=Counter(),[]
+    for t in range(case['first'],case['last']+1):
+        op,r,*rest=program[t]
+        if op!='MOVE':
+            assert t in case['clocks'] and op=='ADD'
+            continue
+        if r in touched:
+            size=directed(*rest)
+            assert size
+            old[size]+=1
+        else:
+            retained.append(t)
+
+    requests=defaultdict(list)
+    for source,slot in zip(case['new_order'],case['new_scalar_slots'],strict=True):
+        _,d,s,_,f=program[source]
+        requests[d].append((slot,'before_add',f))
+        requests[s].append((slot,'before_add',f))
+    new=Counter()
+    moves=[]
+    invalid=[]
+    for r in sorted(touched):
+        route=[(case['first'],'entry',entry[r]),*requests[r],(case['last'],'exit',exit_[r])]
+        for (_,_,a),(clock,at,b) in pairwise(route):
+            owned=r>=public
+            size=directed(a,b,owned)
+            if size is None:
+                invalid.append(dict(role=r,from_chart=a,to_chart=b,clock=clock,anchor=at))
+            elif size:
+                new[size]+=1
+                moves.append(dict(clock=clock,anchor=at,event=['MOVE',r,a,b,owned],rank=size))
+    delta=new.copy()
+    delta.subtract(old)
+    return dict(old_paid=dict(old),new_paid=dict(new),paid_delta_per_copy={r:n for r,n in delta.items() if n},
+                retained_unrelated_move_clocks=retained,proposed_touched_moves=moves,
+                invalid_edges=invalid,legal=not invalid)
+
+
+def product(program,clocks,roles):
+    location={r:i for i,r in enumerate(roles)}
+    rows=[[Q(i==j) for j in range(3)] for i in range(3)]
+    for t in clocks:
+        op,d,s,q,_=program[t]
+        assert op=='ADD' and d!=s
+        a,b=location[d],location[s]
+        value=Q(q)
+        rows[a]=[u+value*v for u,v in zip(rows[a],rows[b],strict=True)]
+    return rows
+
+
+def identity(program,row):
+    old=product(program,row['clocks'],row['roles'])
+    new=product(program,row['new_order'],row['roles'])
+    for i,(a,b) in enumerate(zip(old,new,strict=True)):
+        for j,(x,y) in enumerate(zip(a,b,strict=True)):
+            if x!=y:
+                return dict(equal=False,first_defect=[i,j,str(x),str(y)])
+    return dict(equal=True,matrix=[[str(v) for v in r] for r in old])
+
+
+def controls():
+    word=dict(public=2,owned_fields=1,frames=[[],[1]],initial=[0,1],final=[1,1],program=[
+        ['INIT',2,0],['ADD',0,2,'2',0],['MOVE',2,0,1,True],
+        ['ADD',2,1,'-3/2',1],['MOVE',0,0,1,False],['ADD',0,1,'-3',1],['CLEAR',2,1]])
+    d=frames(word)
+    tape=word['program']
+    stock,outside,_,cap=structure(tape,2,float('inf'))
+    assert len(stock)==1 and not outside and cap is None
+    entries,exits,paid,cap=reverse_charts(word,stock,d,float('inf'))
+    assert cap is None and paid=={1:2}
+    g=window_geometry(tape,stock[0],entries[0],exits[0],2,d)
+    assert g['legal'] and g['old_paid']=={1:2} and g['new_paid']=={1:4}
+    assert identity(tape,stock[0])['equal']
+    bad=tape.copy()
+    bad[5]=['ADD',0,1,'3',1]
+    assert not identity(bad,stock[0])['equal']
+    blocked=entries[0] | {0:1}
+    assert not window_geometry(tape,stock[0],blocked,exits[0],2,d)['legal']
+    return ['exact_signed_correction_and_two_old_four_new_moves','wrong_correction_sign_rejected',
+            'public_descent_rejected','reverse_entry_exit_and_ownership']
+
+
+def load(root):
+    raw={}
+    for rel,h in PINS.items():
+        raw[rel]=(root/rel).read_bytes()
+        assert sha256(raw[rel]).hexdigest()==h,('changed input',rel)
+    return raw
+
+
+def run(root,out,primary,primary_sha,cap,seconds,start):
+    # The completed lead price must already exist. The independent engine
+    # authenticates it but never reads its decisions or geometry.
+    lead=primary.read_bytes()
+    assert sha256(lead).hexdigest()==primary_sha,'changed primary price'
+    assert decode(lead)['head']==HEAD,'primary price uses wrong comparator'
+    controls_result=controls()
+    raw=load(root)
+    word=decode(gzip.decompress(raw[WORD]))
+    c=decode(raw[CALLER])
+    old=decode(raw[BASE])
+    assert [e[1] for e in c['events'] if e[0]=='J']==list(range(1,18))
+    assert old['head']==HEAD and old['copies']==17
+    tape=word['program']
+    cost=runpy.run_path(str(root/TARIFF))['cost']
+    k=Q(old['crossing_upper'])
+    paid,targets=(Counter({int(r):v for r,v in old[name].items()}) for name in ('paid','targets'))
+    assert (sum(paid.values()),sum(targets.values()))==(110536,22461)
+    net=targets.copy()
+    net.subtract(paid)
+    baseline=cost(net,k)
+    assert list(map(str,baseline))==old['old_margin']
+    deadline=start+min(28,seconds-1)
+    structural,public_diagnostics,visited,unknown=structure(tape,word['public'],deadline)
+    d=frames(word)
+    bounded=structural[:cap]
+    entries,exits,old_native,chart_cap=reverse_charts(word,bounded+public_diagnostics,d,deadline)
+    if chart_cap is None:
+        assert sum(old_native.values())==6280 and len(tape)==76461
+
+    @cache
+    def quote(key):
+        delta=dict(key)
+        signed=net.copy()
+        signed.subtract({r:n*17 for r,n in delta.items()})
+        return list(map(str,cost(signed,k)))
+
+    rows=[]
+    for n,row in enumerate(bounded):
+        if monotonic()>=deadline or n not in entries or n not in exits:
+            break
+        geom=window_geometry(tape,row,entries[n],exits[n],word['public'],d)
+        row=dict(row,entry=entries[n],exit=exits[n],geometry=geom)
+        if geom['legal']:
+            row['complete_margin_interval']=quote(tuple(sorted(geom['paid_delta_per_copy'].items())))
+        rows.append(row)
+
+    remaining=structural[len(rows):]
+    unresolved=[]
+    for row in remaining:
+        removed=sum(abs(len(word['frames'][e[3]])-len(word['frames'][e[2]]))
+                    for e in tape[row['first']:row['last']+1] if e[0]=='MOVE' and e[1] in row['roles'])
+        unresolved.append(dict(clocks=row['clocks'],complete_margin_upper=str(baseline[1]+17*removed)))
+    diagnostics=[]
+    for n,row in enumerate(public_diagnostics,len(bounded)):
+        datum=dict(row,literal_adds=[tape[t] for t in row['clocks']],
+                   owned_roles=[r for r in row['roles'] if r>=word['public']])
+        if n in entries and n in exits:
+            datum.update(entry=entries[n],exit=exits[n],
+                         geometry=window_geometry(tape,row,entries[n],exits[n],word['public'],d))
+        diagnostics.append(datum)
+    save(out,'GEOMETRY.json',dict(head=HEAD,pins=PINS,primary_price_sha256=primary_sha,
+        baseline_interval=list(map(str,baseline)),structural_filter_counts=dict(visited),
+        excluded_public_middle_diagnostics=diagnostics,
+        structural_count=len(structural),geometry_checked=len(rows),unknown_inventory_clock=unknown,
+        reverse_unvisited_clock=chart_cap,old_native_paid_histogram=dict(old_native),
+        rows=rows,unresolved_geometry=unresolved,seconds_cap=seconds,typed_cap=cap))
+
+    decisions=[]
+    for row in rows:
+        if monotonic()>=deadline:
+            break
+        equal=identity(tape,row)
+        positive=row['geometry']['legal'] and Q(row['complete_margin_interval'][0])>0
+        decisions.append(dict(clocks=row['clocks'],identity=equal,legal_geometry=row['geometry']['legal'],
+                              paid_delta_per_copy=row['geometry']['paid_delta_per_copy'],
+                              positive_directed_lower=positive,
+                              status='support_only' if equal['equal'] and positive else
+                                     'wrong_product' if not equal['equal'] else
+                                     'illegal_geometry' if not row['geometry']['legal'] else 'no_positive_lower'))
+    save(out,'RESULT.json',dict(head=HEAD,pins=PINS,controls=controls_result,
+        geometry_sha256=sha256((out/'GEOMETRY.json').read_bytes()).hexdigest(),
+        counts=dict(Counter(r['status'] for r in decisions)),rows=decisions,
+        unresolved=[r['clocks'] for r in rows[len(decisions):]]+[r['clocks'] for r in unresolved],
+        unknown_inventory_clock=unknown,reverse_unvisited_clock=chart_cap,
+        scope_exhausted=unknown is None and chart_cap is None and len(decisions)==len(structural),
+        surviving=[r['clocks'] for r in decisions if r['status']=='support_only']))
+
+
+def main():
+    p=ArgumentParser()
+    p.add_argument('inputs',type=Path,nargs='?',default=Path(__file__).resolve().parent/'inputs')
+    p.add_argument('out',type=Path,nargs='?')
+    p.add_argument('--primary-price',type=Path)
+    p.add_argument('--primary-price-sha')
+    p.add_argument('--cap',type=int,default=128,choices=range(1,129),metavar='1..128')
+    p.add_argument('--seconds',type=int,default=30,choices=range(3,31),metavar='3..30')
+    p.add_argument('--controls-only',action='store_true')
+    a=p.parse_args()
+    if a.controls_only:
+        print(json.dumps(controls()))
+        return
+    if a.out is None or a.primary_price is None or a.primary_price_sha is None:
+        p.error('fresh output and exact saved primary price required')
+    a.out.mkdir()
+
+    def timeout(*_):
+        raise TimeoutError('hard runner deadline')
+
+    signal(SIGALRM,timeout)
+    alarm(a.seconds)
+    try:
+        run(a.inputs,a.out,a.primary_price,a.primary_price_sha,a.cap,a.seconds,monotonic())
+    except TimeoutError:
+        save(a.out,'TIMEOUT.json',dict(head=HEAD,pins=PINS,status='hard_timeout',seconds_cap=a.seconds))
+        raise SystemExit(2)
+    finally:
+        alarm(0)
+
+
+if __name__=='__main__':
+    assert __debug__
+    main()
diff --git a/research/p104-cross-chart-add-contraction-bound/inputs/7113/CALLER.json.gz b/research/p104-cross-chart-add-contraction-bound/inputs/7113/CALLER.json.gz
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diff --git a/research/p104-cross-chart-add-contraction-bound/inputs/7298/pricing.py b/research/p104-cross-chart-add-contraction-bound/inputs/7298/pricing.py
new file mode 100644
index 0000000000..40ec194017
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/inputs/7298/pricing.py
@@ -0,0 +1,82 @@
+"""Directed interval arithmetic and the retained signed BIT invoice."""
+from collections import Counter
+from fractions import Fraction
+from functools import cache
+
+TARGET = "10018846261809/2500000000000000"
+SCALE = 10**49
+
+
+def rounded(x, upper):
+    scaled = SCALE*x
+    if upper:
+        return Fraction(-((-scaled.numerator) // scaled.denominator), SCALE)
+    return Fraction(scaled.numerator // scaled.denominator, SCALE)
+
+
+@cache
+def log_bounds(x):
+    z = (x-1)/(x+1)
+    terms = 60
+    exact_partial = 2*sum(z**(2*i+1)/(2*i+1) for i in range(terms))
+    tail = 2*z**(2*terms+1)/((2*terms+1)*(1-z*z))
+    return rounded(exact_partial, False), rounded(exact_partial+tail, True)
+
+
+@cache
+def power_bounds(rank, k):
+    binary = 2**(rank.bit_length()-1)
+    shift = binary.bit_length()-1
+    l2, u2 = log_bounds(Fraction(2))
+    lo, hi = log_bounds(Fraction(rank, binary))
+    lo, hi = k*(lo+shift*l2), k*(hi+shift*u2)
+    assert 0 <= lo <= hi < 1
+
+    def exponential(z, terms):
+        total = term = Fraction(1)
+        for i in range(1, terms+1):
+            term *= -z/i
+            total += term
+        return total
+
+    return rounded(rank*exponential(hi, 35), False), rounded(rank*exponential(lo, 34), True)
+
+
+def cost(hist, k):
+    lower = upper = Fraction(0)
+    for r, n in hist.items():
+        a, b = (n*x for x in power_bounds(r, k))
+        lower += min(a, b)
+        upper += max(a, b)
+    return lower, upper
+
+
+def profile(invoice, native, word, ranks):
+    copies = invoice["native_calls"]
+    assert copies == len(invoice["native_instances"]) == 36
+    assert {tuple((r["stage"], r["copy"])) for r in invoice["native_instances"]} == {
+        (stage, which) for stage in range(1, 19) for which in (0, 1)
+    }
+    assert all(r["ports"] == 111 for r in invoice["native_instances"])
+    assert native == Counter({int(r): n for r, n in invoice["native_paid"].items()})
+    assert sum(native.values()) == 2871
+    caller_paid = {1: 444, **{r: 444 for r in range(7, 57, 7)}}
+    assert invoice["event_counts"]["QUERY"]*111 == caller_paid[1]
+    assert invoice["event_counts"]["IDLE_ONE"]*111 == 8*444
+    full_paid = Counter({r: copies*n for r, n in native.items()})
+    full_paid.update(caller_paid)
+
+    helpers = Counter(ranks[word["final"][j]]-ranks[word["start"][j]]
+                      for j in range(222, word["public"]))
+    assert helpers == Counter({int(r): n for r, n in invoice["native_helpers"].items()})
+    caller_targets = {**{r: 444 for r in range(8, 65, 7)}, 127: 222}
+    full_targets = Counter({r: copies*n for r, n in helpers.items()})
+    full_targets.update(caller_targets)
+    assert full_paid == Counter({int(r): n for r, n in invoice["paid"].items()})
+    assert full_targets == Counter({int(r): n for r, n in invoice["targets"].items()})
+    assert sum(full_paid.values()) == invoice["paid_jobs"]
+    assert sum(full_targets.values()) == invoice["productive_fields"]
+    signed = full_targets.copy()
+    signed.subtract(full_paid)
+    assert sum(r*n for r, n in signed.items()) == invoice["rank_surplus"]
+    return signed, copies
diff --git a/research/p104-cross-chart-add-contraction-bound/inputs/7314/EARLY-RESULT.json b/research/p104-cross-chart-add-contraction-bound/inputs/7314/EARLY-RESULT.json
new file mode 100644
index 0000000000..8cf1ee78a8
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/inputs/7314/EARLY-RESULT.json
@@ -0,0 +1,206 @@
+{
+  "gate": {
+    "BIT_margin": "12046856355393/100000000000000000",
+    "BIT_pin": "376669/100000000",
+    "H": "16517900000000000000000",
+    "alpha": [
+      0.9999999999999998,
+      0.9999999999999998
+    ],
+    "claim": "1823110718223/500000000000000",
+    "compiler_gap": "1/100000000000000000",
+    "delta": [
+      0.9081461367171214,
+      0.9081461367171214
+    ],
+    "derivative_upper": -381546.5927436644,
+    "gamma": [
+      0.9407393126876238,
+      0.9407393126876238
+    ],
+    "input_lift": {
+      "derivative_upper_on_required_interval": "-2299831290525933154178526076272396899996972093654613095735772838275432653960006518819/2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+      "interval_kappa_cap": "376669/100000000",
+      "margins": {
+        "1823110718223/500000000000000": [
+          "62199823785454617404050413610879573497101540469470466310265301482514882780289/50000000000000000000000000000000000000000000000000000000000000000000000000000000",
+          "31099911892727308702025206805439786748550770234735233155132650741257441390639/25000000000000000000000000000000000000000000000000000000000000000000000000000000"
+        ],
+        "364622143644607/100000000000000000": [
+          "62199823785455760548283029629425652271182947497890099842961066550326877196323/50000000000000000000000000000000000000000000000000000000000000000000000000000000",
+          "62199823785455760548283029629425652271182947497890099842961066550326877197293/50000000000000000000000000000000000000000000000000000000000000000000000000000000"
+        ]
+      },
+      "source_BIT_wide_crude_bound_would_be": "-2299831290525933154178526076272396899996972093654613095735772838275432653960006518819/2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
+    },
+    "minimum_log_power": 2237,
+    "moment_margin_float": {
+      "1823110718223117168344442278449/500000000000000000000000000000000": [
+        3.035135252901442e-30,
+        3.035135252901442e-30
+      ],
+      "364622143644607/100000000000000000": [
+        6.370040979946812e-11,
+        6.370040979946812e-11
+      ],
+      "36462214364462343366888845568981/10000000000000000000000000000000000": [
+        -3.5727000111902154e-29,
+        -3.5727000111902154e-29
+      ]
+    },
+    "moment_margins": {
+      "1823110718223117168344442278449/500000000000000000000000000000000": [
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+        "151756762645072104404404927209361053795860085026633/50000000000000000000000000000000000000000000000000000000000000000000000000000000"
+      ],
+      "364622143644607/100000000000000000": [
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+        "637004097994681146206938704009766391855295003133816553633314131040793/10000000000000000000000000000000000000000000000000000000000000000000000000000000"
+      ],
+      "36462214364462343366888845568981/10000000000000000000000000000000000": [
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+        "-3572700011190215606995802912829743599368967759501337/100000000000000000000000000000000000000000000000000000000000000000000000000000000"
+      ]
+    },
+    "outer": {
+      "BIT_just_below_effective_rejected": true,
+      "functional_count": 4,
+      "minimum_margin": "1/1000000000000000000",
+      "strict_count": 54
+    },
+    "raw_bracket": [
+      "1823110718223117168344442278449/500000000000000000000000000000000",
+      "36462214364462343366888845568981/10000000000000000000000000000000000"
+    ],
+    "tested": "364622143644607/100000000000000000",
+    "written_log_power": 2238
+  },
+  "invoice": {
+    "P": {
+      "1": 68401,
+      "16": 416,
+      "2": 14501,
+      "24": 416,
+      "3": 14093,
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+      "5": 5882,
+      "56": 416,
+      "6": 221,
+      "64": 208,
+      "7": 170,
+      "8": 741,
+      "9": 32
+    },
+    "S": 1424,
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+      "5": 1360,
+      "57": 416,
+      "6": 731,
+      "65": 416,
+      "7": 323,
+      "73": 208,
+      "8": 544,
+      "9": 10888
+    },
+    "empty_root_credits": 0
+  },
+  "native": {
+    "bad_inputs": [],
+    "events": 76461,
+    "helpers": {
+      "1": 18,
+      "2": 21,
+      "3": 47,
+      "4": 225,
+      "5": 80,
+      "6": 43,
+      "7": 19,
+      "8": 32,
+      "9": 616
+    },
+    "lifetimes": 72,
+    "owned_peak": 50,
+    "paid": {
+      "1": 4001,
+      "2": 853,
+      "3": 829,
+      "4": 223,
+      "5": 346,
+      "6": 13,
+      "7": 10,
+      "8": 5
+    },
+    "public": 1501,
+    "rises": {
+      "1": 10,
+      "2": 4,
+      "3": 1,
+      "4": 6,
+      "5": 1,
+      "6": 1
+    }
+  },
+  "native_delta": {
+    "P": {
+      "1": 1,
+      "6": -1
+    },
+    "T": {
+      "4": 1,
+      "9": -1
+    }
+  },
+  "packing": {
+    "ambient_cap": 145,
+    "claimed_fraction": [
+      "244693778492339257344/389839057952880859375",
+      "122346889246169628672/194919528961181640625"
+    ],
+    "raw_ceiling": [
+      "6387123125/1099511627776",
+      "12774246251/2199023255552"
+    ],
+    "remainder_rank_mass": 109088
+  },
+  "pending": [
+    "fresh integer grid",
+    "all affected physical chart maps",
+    "complete caller replay",
+    "ordinary and precision bounds",
+    "full source application"
+  ],
+  "price": {
+    "baseline_rejects_new_claim": true,
+    "candidate_margin_at_old_upper": [
+      "10688821095393814022267370482288894778088114926165761408381908203003902548866221/50000000000000000000000000000000000000000000000000000000000000000000000000000000",
+      "10688821095393814022267370482288894778088114926165761408381908203003902565843963/50000000000000000000000000000000000000000000000000000000000000000000000000000000"
+    ],
+    "claim_decimal": "0.003646221436446",
+    "gain": "5.51507748E-7",
+    "gain_exact": "137876937/250000000000000",
+    "independent_raw_bracket": [
+      "0.003646221436446234336688884556898",
+      "0.00364622143644623433668888455689801"
+    ],
+    "previous_claim": "1822834964349/500000000000000",
+    "raw_bracket": [
+      "0.003646221436446234336688884556898",
+      "0.0036462214364462343366888845568981"
+    ]
+  },
+  "status": "PASS_EXACT_NATIVE_AND_PRICE_ONLY",
+  "word_sha256": "0358b9f6e0340fb3e5aa46c747c558b32a5280cbf9cd92c3b9de627dd18a9a4f"
+}
diff --git a/research/p104-cross-chart-add-contraction-bound/inputs/7314/NATIVE-RESULT.json b/research/p104-cross-chart-add-contraction-bound/inputs/7314/NATIVE-RESULT.json
new file mode 100644
index 0000000000..311051d32c
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/inputs/7314/NATIVE-RESULT.json
@@ -0,0 +1,3090 @@
+{
+  "caller": {
+    "bad_outputs": [],
+    "caller_denominator_height_bound": 431,
+    "caller_mass_bound": "2031778024781380738667307850969872261300825114412066667930609010754885615256246771273722516797028373875488084463456734932931819440254377992064287155336455679722182496470290893143689397339193405421398373633/137438953472",
+    "caller_mass_ceiling_bits": 642,
+    "max_terms": 3998
+  },
+  "charts": {
+    "new_pairs": [
+      [
+        739,
+        240
+      ]
+    ],
+    "rechecked_pairs": [
+      {
+        "columns": 512,
+        "pair": [
+          3,
+          127
+        ],
+        "rank": 9
+      },
+      {
+        "columns": 512,
+        "pair": [
+          3,
+          240
+        ],
+        "rank": 4
+      },
+      {
+        "columns": 512,
+        "pair": [
+          240,
+          127
+        ],
+        "rank": 5
+      },
+      {
+        "columns": 512,
+        "pair": [
+          739,
+          127
+        ],
+        "rank": 6
+      },
+      {
+        "columns": 512,
+        "pair": [
+          739,
+          240
+        ],
+        "rank": 1
+      }
+    ],
+    "wrong_phase_rejected": true
+  },
+  "controls": {
+    "extra_uncharged_owned_lifetime": true,
+    "insufficient_fractional_grid": true,
+    "insufficient_odd_grid": true,
+    "omitted_accumulator_init": true,
+    "omitted_early_863_correction": true,
+    "omitted_paid_split_correction": true,
+    "omitted_retiring_output_frame": true,
+    "public_erasure_rejected": true,
+    "wrong_boundary_scalar_coefficient": true,
+    "wrong_move_source": true
+  },
+  "derived_grid": {
+    "coefficient_visits": 16449663,
+    "fractional_bits": 25,
+    "mass_witness": [
+      66229,
+      "stored"
+    ],
+    "odd_scale": 1125,
+    "scaled_maximum_mass": "841374570120675/8192",
+    "unscaled_maximum_mass": "11218327601609/122880"
+  },
+  "forward": {
+    "coefficient_positions": 2461761,
+    "fractional_bits": 25,
+    "grid": 1125,
+    "rows": 1569
+  },
+  "gate": {
+    "BIT_margin": "12109962247593/100000000000000000",
+    "BIT_pin": "376669/100000000",
+    "H": "16517900000000000000000",
+    "alpha": [
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+      0.9999999999999999
+    ],
+    "claim": "911397594381/250000000000000",
+    "compiler_gap": "1/100000000000000000",
+    "delta": [
+      0.8879932015866077,
+      0.8879932015866077
+    ],
+    "derivative_upper": -406816.5754005488,
+    "gamma": [
+      0.9498990586133585,
+      0.9498990586133585
+    ],
+    "input_lift": {
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+      "interval_kappa_cap": "376669/100000000",
+      "margins": {
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+          "62189518115333082230718927364514092944575773559414880611245957697124101251173/50000000000000000000000000000000000000000000000000000000000000000000000000000000"
+        ]
+      },
+      "source_BIT_wide_crude_bound_would_be": "-2299831290525933154178526076272396899996972093654613095735772838275432653960006518819/2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
+    },
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+    "moment_margin_float": {
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+        2.8575497126959226e-11,
+        2.8575497126959226e-11
+      ],
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+        1.4978267490717924e-29
+      ],
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+        -2.6401049540252044e-29,
+        -2.6401049540252044e-29
+      ]
+    },
+    "moment_margins": {
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+        "1428774856347961291720838253843447480135975275625435689470865951469647/50000000000000000000000000000000000000000000000000000000000000000000000000000000"
+      ],
+      "36455903775241390574402317277409/10000000000000000000000000000000000": [
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+      ],
+      "3645590377524139057440231727741/1000000000000000000000000000000000": [
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+        "-1320052477012602081015114835017509261601134932590357/50000000000000000000000000000000000000000000000000000000000000000000000000000000"
+      ]
+    },
+    "outer": {
+      "BIT_just_below_effective_rejected": true,
+      "functional_count": 4,
+      "minimum_margin": "1/1000000000000000000",
+      "strict_count": 54
+    },
+    "raw_bracket": [
+      "36455903775241390574402317277409/10000000000000000000000000000000000",
+      "3645590377524139057440231727741/1000000000000000000000000000000000"
+    ],
+    "tested": "364559037752407/100000000000000000",
+    "written_log_power": 2238
+  },
+  "grid": {
+    "dyadic_height": 25,
+    "maximum_scaled_mass": "841374570120675/8192",
+    "odd_divisions": {
+      "ADD": 5829,
+      "SCALE": 71
+    },
+    "odd_grid_lcm": 1125,
+    "opcodes": {
+      "ADD": 66310,
+      "CLEAR": 72,
+      "COPY": 1,
+      "INIT": 72,
+      "MOVE": 6280,
+      "SCALE": 3726
+    },
+    "owned_lifetimes": 72,
+    "owned_peak": 50,
+    "owned_rise_mass": 56,
+    "owned_rises": {
+      "1": 10,
+      "2": 4,
+      "3": 1,
+      "4": 6,
+      "5": 1,
+      "6": 1
+    },
+    "paid": {
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+      "4": 223,
+      "5": 346,
+      "6": 13,
+      "7": 10,
+      "8": 5
+    }
+  },
+  "invoice": {
+    "P": {
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+      "2": 15354,
+      "24": 416,
+      "3": 14922,
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+      "5": 6228,
+      "56": 416,
+      "6": 234,
+      "64": 416,
+      "7": 180,
+      "8": 762,
+      "9": 32
+    },
+    "S": 1520,
+    "T": {
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+      "2": 378,
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+      "3": 846,
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+      "4": 4050,
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+      "5": 1440,
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+      "6": 774,
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+      "7": 342,
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+      "8": 576,
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+    },
+    "empty_root_credits": 0,
+    "no_E_credit_crossing": "0.0036455903775241390574402317277409361974739203829259204700772948439",
+    "raw_crossing": "0.0036455903775241390574402317277409361974739203829259204700772948439"
+  },
+  "limitations": [
+    "Five inherited framework assumptions remain.",
+    "Source-aware retained engines are not independent human/formal acceptance.",
+    "The complete 17-stage application is checked separately."
+  ],
+  "native": {
+    "bad_inputs": [],
+    "events": 76461,
+    "helpers": {
+      "1": 18,
+      "2": 21,
+      "3": 47,
+      "4": 225,
+      "5": 80,
+      "6": 43,
+      "7": 19,
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+      "9": 616
+    },
+    "lifetimes": 72,
+    "owned_peak": 50,
+    "paid": {
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+      "2": 853,
+      "3": 829,
+      "4": 223,
+      "5": 346,
+      "6": 13,
+      "7": 10,
+      "8": 5
+    },
+    "public": 1501,
+    "rises": {
+      "1": 10,
+      "2": 4,
+      "3": 1,
+      "4": 6,
+      "5": 1,
+      "6": 1
+    }
+  },
+  "ordinary": {
+    "caller_items": {
+      "A": {
+        "envelope": 124674048,
+        "field_boundary": 94848,
+        "fused_routes": 0,
+        "idle_routes": 185472000,
+        "output_routes": 229056000,
+        "query_routes": 1152000,
+        "thin": 6144
+      },
+      "B": {
+        "envelope": 39515136,
+        "field_boundary": 7904,
+        "fused_routes": 1168000,
+        "idle_routes": 19552000,
+        "output_routes": 19088000,
+        "query_routes": 0,
+        "thin": 0
+      }
+    },
+    "caller_total": 619786080,
+    "conservative_total": 856689856,
+    "extra_B_scalar_surcharge": 784256,
+    "init_clear_allowance": 288,
+    "lambda_paid_rank1_would_reduce_S_by": 14384,
+    "lambda_second_charge": 14384000,
+    "margin_to_billion": 143310144,
+    "odd_divisions": {
+      "ADD": 5829,
+      "SCALE": 71
+    },
+    "per_input_conversion": 2809872,
+    "raw_upper": 838711728,
+    "route_items": {
+      "first_main_adapter": 416,
+      "first_main_boundary": 208,
+      "helper_boundary": 2202,
+      "moves": 6280,
+      "owned_lifetime": 288,
+      "second_main_adapter": 384,
+      "second_main_boundary": 192
+    },
+    "routing": 9970000,
+    "scalar_upper": 2192536
+  },
+  "physical_checks": [
+    "verify_host3_odd.py",
+    "physical.py"
+  ],
+  "precision": {
+    "Kstar_bits": 14093,
+    "caller": {
+      "denominator_height": 431,
+      "maximum_mass": "2031778024781380738667307850969872261300825114412066667930609010754885615256246771273722516797028373875488084463456734932931819440254377992064287155336455679722182496470290893143689397339193405421398373633/137438953472",
+      "pre_joint_height": 426,
+      "pre_joint_mass": "766527916529583301313228867197686200815349463045311717713050641430930492401493758087731346459407655106441982454343595473292801327075604294093436993244143470221321807686760749419510412771973080166736111/17179869184"
+    },
+    "context_c": 1342,
+    "context_height": 451,
+    "context_mass_bits": 671,
+    "rounded_caller": {
+      "bounds": {
+        "E_joint_entrance": {
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+          "strict_power_of_two": 896,
+          "witness": {
+            "cut": 4982,
+            "event": 4982,
+            "factor": "1",
+            "kind": "stored",
+            "register": 39
+          }
+        },
+        "Gamma_context": {
+          "exact": "18428357324771952079351199610039986574675414852670015817218434394231077600003180822801951428210793458749701139042699380967292168342526398059050917693323781960266114229015481871649850013330219393242002346295891139634054824734000674390055177279787441873857279667366389511141183170357366645217631919760140166755109423298547043944570397/279074076171034657347900099919978904420352000000000000000000",
+          "strict_power_of_two": 903,
+          "witness": {
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+            "factor": "1",
+            "kind": "public-return",
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+          }
+        },
+        "M_caller": {
+          "exact": "71139049377586862629418871698937610393019572652137611543732392122728862032234875850426792200611955874649536689056011773263916935707559511365401032013880904413645069177668118198332454710167691/32768",
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+            "event": 5075,
+            "factor": "1",
+            "kind": "stored",
+            "register": 75
+          }
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+          ],
+          [
+            "SWAP",
+            4,
+            8
+          ],
+          [
+            "XOR",
+            8,
+            3
+          ],
+          [
+            "XOR",
+            4,
+            3
+          ],
+          [
+            "XOR",
+            8,
+            0
+          ],
+          [
+            "XOR",
+            4,
+            0
+          ],
+          [
+            "SWAP",
+            0,
+            3
+          ]
+        ],
+        "old9_inverse": [
+          280,
+          2,
+          4,
+          273,
+          265,
+          32,
+          64,
+          128,
+          25
+        ],
+        "old9_route": [
+          280,
+          2,
+          4,
+          273,
+          265,
+          32,
+          64,
+          128,
+          25
+        ],
+        "ordinary_elementary_units": 37,
+        "ordinary_route_units": 19,
+        "port": 55,
+        "positive_child_slots": [
+          0,
+          1,
+          2,
+          3,
+          4,
+          5,
+          6,
+          7,
+          8
+        ],
+        "q": 280,
+        "stage": 10
+      }
+    ],
+    "paid_calls": 32,
+    "proposed_sha": "9557f713ab4ffb91ede05e8a6d5668c694b9940fc16f2f2d657e2f2b2cac2d3f",
+    "status": "PASS_PHYSICAL_RANK9_ALGEBRA",
+    "word_sha": "0358b9f6e0340fb3e5aa46c747c558b32a5280cbf9cd92c3b9de627dd18a9a4f"
+  },
+  "source_head": "ed090b57ed88f8859e5ff4643645099e6ba856ea",
+  "status": "PASS_FUNDED_863_RETURN_NATIVE",
+  "timed_certificate": {
+    "physical_scope": "Normalized rational comparison; phase and catalogue are checked separately.",
+    "rows": 1501,
+    "status": "PASS_EXACT_NORMALIZED_ARBITRARY_INPUT_ENDPOINTS"
+  },
+  "word_canonical_sha256": "0358b9f6e0340fb3e5aa46c747c558b32a5280cbf9cd92c3b9de627dd18a9a4f"
+}
diff --git a/research/p104-cross-chart-add-contraction-bound/inputs/7314/WORD.json.gz b/research/p104-cross-chart-add-contraction-bound/inputs/7314/WORD.json.gz
new file mode 100644
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diff --git a/research/p104-cross-chart-add-contraction-bound/inputs/r58/PRICE.json b/research/p104-cross-chart-add-contraction-bound/inputs/r58/PRICE.json
new file mode 100644
index 0000000000..ce42f89575
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/inputs/r58/PRICE.json
@@ -0,0 +1,247 @@
+{
+  "caller": "07a76c5e2738882c0cb322278e56f6cae3c9885d",
+  "claim": "0.003646221436446",
+  "copies": 17,
+  "crossing_upper": "36462214364462343366888845568981/10000000000000000000000000000000000",
+  "eligible_stock_upper_before_contact": 1083,
+  "head": "9d0119eb12fbd9fa534b48cd37b68e7099757b91",
+  "helpers": {
+    "1": 18,
+    "2": 21,
+    "3": 47,
+    "4": 225,
+    "5": 80,
+    "6": 43,
+    "7": 19,
+    "8": 32,
+    "9": 616
+  },
+  "input_sha256": {
+    "admission/ADMITTED.json": "41b8a189dffeb768e5843446cdc469f9cc2f0aa038d0a593cf2be43aa009a9a3",
+    "inputs/7113/CALLER.json": "255d89f38cd45e38e5770f559bc43dc217e989032359768cdc7e8cdfd64b47bc",
+    "inputs/7298/pricing.py": "f4d0b6c9314b838d882d6d06020f24881c19a3fda97a7c00df87b1e920785182",
+    "inputs/7314/EARLY-RESULT.json": "b5043855411432b24336ecc443cba9ebfae6392e2045ddd01c87cfe2c51f5f08",
+    "inputs/7314/NATIVE-RESULT.json": "336f463da5afe5b60bfd3b9f0ce8aeea5a5feb1f854613bf4218ba0b28b3371b",
+    "inputs/7314/PRICE-ONLY.json": "b757665a3a50324b2ae6649cc89f5b8d9a752c7af996f1ee894a0de47ade94e1",
+    "inputs/7314/WORD.json.gz": "c404b9b61220e6cf740d85276df2828bbb4a9d68a4d44b5e283f8d96f78c0fd9"
+  },
+  "limits": {
+    "contract_seconds": 120,
+    "contract_survivors": 1,
+    "roles": 1101,
+    "seconds": 20
+  },
+  "old_margin": [
+    "-357270001119021587349/10000000000000000000000000000000000000000000000000",
+    "-357270001119021530951/10000000000000000000000000000000000000000000000000"
+  ],
+  "one_edit_optimistic_upper": "242007347947878251153201829175654593196258725433/1250000000000000000000000000000000000000000000000",
+  "paid": {
+    "1": 68401,
+    "2": 14501,
+    "3": 14093,
+    "4": 3791,
+    "5": 5882,
+    "6": 221,
+    "7": 170,
+    "8": 741,
+    "9": 32,
+    "16": 416,
+    "24": 416,
+    "32": 416,
+    "40": 416,
+    "48": 416,
+    "56": 416,
+    "64": 208
+  },
+  "rank_prices": {
+    "2": {
+      "credit": [
+        "858220180858442790323263974944709566217664915279/10000000000000000000000000000000000000000000000000",
+        "26819380651826337197601999217022173944302028603/312500000000000000000000000000000000000000000000"
+      ],
+      "inventory_upper": 21,
+      "margin": [
+        "85822018085844279032326397458743956509864332793/1000000000000000000000000000000000000000000000000",
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diff --git a/research/p104-cross-chart-add-contraction-bound/inputs/r58/SHA256.json b/research/p104-cross-chart-add-contraction-bound/inputs/r58/SHA256.json
new file mode 100644
index 0000000000..3a28905e8d
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/inputs/r58/SHA256.json
@@ -0,0 +1,6 @@
+{
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diff --git a/research/p104-cross-chart-add-contraction-bound/receipts/COMPARE.json b/research/p104-cross-chart-add-contraction-bound/receipts/COMPARE.json
new file mode 100644
index 0000000000..42457c3baf
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/receipts/COMPARE.json
@@ -0,0 +1,50 @@
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diff --git a/research/p104-cross-chart-add-contraction-bound/receipts/GEOMETRY.json b/research/p104-cross-chart-add-contraction-bound/receipts/GEOMETRY.json
new file mode 100644
index 0000000000..5ef285fa85
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/receipts/GEOMETRY.json
@@ -0,0 +1,295 @@
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diff --git a/research/p104-cross-chart-add-contraction-bound/receipts/PRICE.json b/research/p104-cross-chart-add-contraction-bound/receipts/PRICE.json
new file mode 100644
index 0000000000..1359d40f8d
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/receipts/PRICE.json
@@ -0,0 +1,88 @@
+{
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diff --git a/research/p104-cross-chart-add-contraction-bound/receipts/RESULT.json b/research/p104-cross-chart-add-contraction-bound/receipts/RESULT.json
new file mode 100644
index 0000000000..97adda640f
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/receipts/RESULT.json
@@ -0,0 +1,23 @@
+{
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+    "BASE-PRICE.json": "8d70669e720faabc932366dafbc1bd1fdaef6f088c4eb02b0ea3707ba309ab53"
+  },
+  "reverse_unvisited_clock": null,
+  "rows": [],
+  "scope_exhausted": true,
+  "surviving": [],
+  "unknown_inventory_clock": null,
+  "unresolved": []
+}
diff --git a/research/p104-cross-chart-add-contraction-bound/receipts/SHA256.json b/research/p104-cross-chart-add-contraction-bound/receipts/SHA256.json
new file mode 100644
index 0000000000..cc1813a9ed
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/receipts/SHA256.json
@@ -0,0 +1,7 @@
+{
+  "COMPARE.json": "0d4a86b59154b2bf242a7589b365c7a93d6ee60da7859aa4001f7460846a76a0",
+  "GEOMETRY.json": "302c6b001113aa498ccf86c95bbbab43f61d1d278e07305694e6d2a211954bb7",
+  "PRICE.json": "ec216265e8ab187e032d736f451e6348e1248de729d5033b9430f0154f2697b3",
+  "RESULT.json": "a91b48b3717d6677cc78901f890ba0050de1f3dd5a5beff1fafb81133d92377c",
+  "SUPPORT.json": "dcc17a780756eb09a0a760134b54ac0cc8c0e73acb661da5a49426e54f47418a"
+}
diff --git a/research/p104-cross-chart-add-contraction-bound/receipts/SUPPORT.json b/research/p104-cross-chart-add-contraction-bound/receipts/SUPPORT.json
new file mode 100644
index 0000000000..e062f0081d
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/receipts/SUPPORT.json
@@ -0,0 +1,7 @@
+{
+  "all_verified_keys": [],
+  "head": "9d0119eb12fbd9fa534b48cd37b68e7099757b91",
+  "price_sha256": "ec216265e8ab187e032d736f451e6348e1248de729d5033b9430f0154f2697b3",
+  "survivors": [],
+  "unresolved": 0
+}
diff --git a/research/p104-cross-chart-add-contraction-bound/replay.py b/research/p104-cross-chart-add-contraction-bound/replay.py
new file mode 100644
index 0000000000..d84f61a865
--- /dev/null
+++ b/research/p104-cross-chart-add-contraction-bound/replay.py
@@ -0,0 +1,193 @@
+"""Replay the exact #7314 fixed-chart ADD contraction exclusion."""
+from argparse import ArgumentParser
+from collections import Counter
+from fractions import Fraction
+import gzip
+from hashlib import sha1, sha256
+import json
+from pathlib import Path, PurePosixPath
+import shutil
+import subprocess
+import sys
+from tempfile import TemporaryDirectory
+
+HERE = Path(__file__).resolve().parent
+ENGINES = HERE / 'engines'
+HEAD = '9d0119eb12fbd9fa534b48cd37b68e7099757b91'
+
+
+def unique(pairs):
+    values = dict(pairs)
+    if len(values) != len(pairs):
+        raise ValueError('duplicate JSON key')
+    return values
+
+
+def decode(raw):
+    return json.loads(raw, object_pairs_hook=unique)
+
+
+def digest(raw):
+    return sha256(raw).hexdigest()
+
+
+def authenticate(scratch):
+    pins = decode((HERE / 'LOCAL-PINS.json').read_bytes())
+    for name, expected in pins.items():
+        relative = PurePosixPath(name)
+        assert not relative.is_absolute() and '..' not in relative.parts
+        assert relative.as_posix() == name, name
+        assert digest((HERE / name).read_bytes()) == expected, ('changed dependency', name)
+    for tree in ('inputs', 'admission'):
+        shutil.copytree(HERE / tree, scratch / tree)
+
+    provenance = decode((HERE / 'PROVENANCE.json').read_bytes())['files']
+    for name, ref in provenance.items():
+        assert name in pins
+        raw = (HERE / name).read_bytes()
+        if ref['uncompress']:
+            raw = gzip.decompress(raw)
+            (scratch / name).with_suffix('').write_bytes(raw)
+        assert digest(raw) == ref['sha256'], name
+        assert sha1(f'blob {len(raw)}\0'.encode() + raw).hexdigest() == ref['git_blob'], name
+
+    anchor = decode((scratch / 'admission/ANCHORED.json').read_bytes())
+    assert anchor['head'] == HEAD and anchor['base_ancestry'] == 'verified'
+    for ref in anchor['evidence']:
+        relative = PurePosixPath(ref['path'])
+        assert len(relative.parts) == 1 and not relative.is_absolute() and '..' not in relative.parts
+        assert pins[f'admission/{relative.as_posix()}'] == ref['sha256']
+
+    r58 = decode((scratch / 'inputs/r58/SHA256.json').read_bytes())
+    assert pins['inputs/r58/PRICE.json'] == r58['PRICE.json']
+    # The independent engine names the same historical price snapshot at its input root.
+    shutil.copyfile(scratch / 'inputs/r58/PRICE.json', scratch / 'inputs/BASE-PRICE.json')
+
+
+def run(engine, *args, seconds=35, check=True):
+    argv = [sys.executable, '-I', '-B', str(ENGINES / engine), *map(str, args)]
+    return subprocess.run(argv, check=check, capture_output=True, timeout=seconds)
+
+
+def check_decisions(price, support, geometry, independent):
+    assert {r['head'] for r in (price, support, geometry, independent)} == {HEAD}
+    assert price['stock']['complete'] and price['stock']['visited'] == 76461
+    counts = {
+        'consecutive_add_triples': 64080,
+        'cross_chart_triples': 5467,
+        'three_role_cross_chart_triples': 215,
+        'directed_triangle_any_middle': 2,
+    }
+    assert price['stock']['counts'] == counts
+    assert geometry['structural_filter_counts'] == {
+        'normalized_windows': 70179,
+        'all_add_triples': counts['consecutive_add_triples'],
+        'cross_chart': counts['cross_chart_triples'],
+        'exactly_three_roles': counts['three_role_cross_chart_triples'],
+        'directed_triangles': counts['directed_triangle_any_middle'],
+    }
+    assert geometry['old_native_paid_histogram'] == price['stock']['native_paid']
+    assert sum(geometry['old_native_paid_histogram'].values()) == 6280
+
+    paid, targets = (Counter({int(r): n for r, n in price[name].items()})
+                     for name in ('paid', 'targets'))
+    assert (sum(paid.values()), sum(targets.values())) == (110536, 22461)
+    assert sum(r * (targets[r] - paid[r]) for r in paid.keys() | targets.keys()) == 1424
+    assert geometry['baseline_interval'] == price['old_margin']
+    assert Fraction(price['old_margin'][1]) < 0
+    assert price['whole_one_edit_upper_for_visited_keys'] == '0'
+    assert not (price['stock']['keys'] or price['rows'] or price['unvisited_keys'])
+    assert not (support['all_verified_keys'] or support['survivors'] or support['unresolved'])
+    assert geometry['structural_count'] == geometry['geometry_checked'] == 0
+    assert geometry['unknown_inventory_clock'] is geometry['reverse_unvisited_clock'] is None
+    assert not (geometry['rows'] or geometry['unresolved_geometry'])
+    assert independent['scope_exhausted']
+    assert not (independent['rows'] or independent['surviving'] or independent['unresolved'])
+    assert set(price['controls']) == {
+        'exact_signed_a2', 'wrong_correction_sign', 'funded_hypothetical_price',
+        'extra_paid_rank_one_kills',
+    }
+    assert set(independent['controls']) == {
+        'exact_signed_correction_and_two_old_four_new_moves',
+        'wrong_correction_sign_rejected', 'public_descent_rejected',
+        'reverse_entry_exit_and_ownership',
+    }
+
+    diagnostics = geometry['excluded_public_middle_diagnostics']
+    assert len(diagnostics) == 2
+    observed = []
+    for row in diagnostics:
+        g = row['geometry']
+        middle = row['middle']
+        assert middle not in row['owned_roles'] and not g['legal']
+        assert len(g['invalid_edges']) == 1
+        edge = g['invalid_edges'][0]
+        assert edge['role'] == middle and edge['anchor'] == 'before_add'
+        observed.append((row['clocks'], [a[-1] for a in row['literal_adds']],
+                         middle, edge['from_chart'], edge['to_chart'], edge['clock']))
+    assert observed == [
+        ([35646, 35648, 35650], [3, 1031, 1031], 699, 1031, 3, 35650),
+        ([36496, 36498, 36500], [3, 595, 595], 581, 595, 3, 36498),
+    ]
+
+
+def replay(scratch, emit):
+    authenticate(scratch)
+    expected = decode((HERE / 'receipts/SHA256.json').read_bytes())
+    generated = {}
+
+    def record(name, raw):
+        assert digest(raw) == expected[name], name
+        generated[name] = raw
+        return decode(raw)
+
+    price_path = scratch / 'PRICE.json'
+    price_raw = run('a2.py', scratch, 'price').stdout
+    price = record('PRICE.json', price_raw)
+    price_path.write_bytes(price_raw)
+    price_sha = expected['PRICE.json']
+    support = record('SUPPORT.json',
+                     run('a2.py', scratch, 'support', '--price-sha', price_sha).stdout)
+    (scratch / 'SUPPORT.json').write_bytes(generated['SUPPORT.json'])
+    reverse = scratch / 'independent/run'
+    reverse.parent.mkdir()
+    run('reverse_windows.py', scratch / 'inputs', reverse,
+        '--primary-price', price_path, '--primary-price-sha', price_sha,
+        '--cap', 128, '--seconds', 30)
+    geometry = record('GEOMETRY.json', (reverse / 'GEOMETRY.json').read_bytes())
+    independent = record('RESULT.json', (reverse / 'RESULT.json').read_bytes())
+    assert support['price_sha256'] == geometry['primary_price_sha256'] == price_sha
+    assert independent['geometry_sha256'] == expected['GEOMETRY.json']
+    check_decisions(price, support, geometry, independent)
+    comparison = record('COMPARE.json', run('compare.py', scratch).stdout)
+    assert comparison['compatible_saving_upper'] == comparison['unresolved'] == 0
+
+    stale = run('reverse_windows.py', scratch / 'inputs', scratch / 'stale',
+                '--primary-price', price_path, '--primary-price-sha', '0' * 64,
+                '--seconds', 10, check=False)
+    assert stale.returncode == 1 and b'changed primary price' in stale.stderr
+    assert not (scratch / 'stale/GEOMETRY.json').exists()
+    caller = scratch / 'inputs/7113/CALLER.json'
+    caller.write_bytes(caller.read_bytes() + b'\n')
+    changed = run('a2.py', scratch, 'price', check=False)
+    assert changed.returncode == 1 and b'Changed input inputs/7113/CALLER.json' in changed.stderr
+    assert not changed.stdout
+
+    assert generated.keys() == expected.keys()
+    if emit is not None:
+        emit.mkdir()
+        for name, raw in generated.items():
+            (emit / name).write_bytes(raw)
+    print('PASS_P104_CROSS_CHART_ADD_CONTRACTION_BOUND add_triples=64080 cross_chart=5467 '
+          'three_roles=215 public_middle_illegal=2 owned_middle=0 unresolved=0 '
+          'saving_upper=0 kappa_change=0')
+
+
+if __name__ == '__main__':
+    assert __debug__, 'assertions are required'
+    assert sys.version_info[:2] == (3, 12), 'Python 3.12 required'
+    parser = ArgumentParser(description=__doc__)
+    parser.add_argument('--out', type=Path)
+    args = parser.parse_args()
+    with TemporaryDirectory(prefix='p104-add-contraction-') as temp:
+        replay(Path(temp), args.out)