[ToikY]

Change and mathematical scope

NO VERIFIED GAIN. Exact conditional κ change 0%. On exact #7334, the closed compensated-fusion geometry has eight multiple-low banks. Seven fail the exact high dirty-readout condition. Helper 1182 passes that gate but its full low exterior donor rank is two, increasing to three when the required column is appended. Both rational replays agree on all eight sites. Zero cases remain unresolved within this geometry.

The edit would fuse one paid public rank pair with the other routes and productive fields fixed. The directed one-edit upper was 0.118078219359 raw before additional costs. The eight-bank support result gives zero compatible saving for this exact scope.

Pins and overlap

Round 74 of #7111. Comparator #7334 at aaeec8c0acf01e99a5f331ef363a698d9c084ace, κ 0.00364665195644, with exact #7113 caller. #7338 supplies the exhausted geometry and one-low exclusion. This result grants the entire existing low bank at each eligible site. #6765 addresses older residence timing.

Validation

From a clean checkout with CPython 3.12:

python3.12 -I -B research/p104-multiple-low-fusion-bound/replay.py
python3.12 -B scripts/research_package.py --package research/p104-multiple-low-fusion-bound
python3.12 -B scripts/check_research_commit.py --package research/p104-multiple-low-fusion-bound --check-modes --check-source-history

All three passed locally, as did official export and replay without Git. The replay authenticates inputs and exact predecessor receipts, rebuilds the stock price, independently reproduces all eight dispositions, and rejects altered geometry and rank stock. The optional navigation suite has one baseline failure because main's CI guide still refers to #6030 after #7000 selection. The package-only diff leaves those files untouched.

Credit and next question

#7334 supplies the retimed word and dirty restoration, #7113 the caller, #7298 the directed tariff, #7338 the rank stock and one-low geometry, and #6765 and #6529 the earlier donor-span and compensated-fusion methods. OpenAI Codex and subagents materially assisted. A changed legal cut or larger block remains open. Pin and price one new geometry before testing its exact dirty readout and low exterior response.