[ToikY]

Change and mathematical scope

NO VERIFIED GAIN. Δκ = 0, exactly 0% relative to #7334 at aaeec8c (conditional κ = 0.00364665195644). This package excludes 297 of 326 frozen cochart-bank representatives and lists the 29 unresolved keys.

The scope keeps the native word, signed #7113 caller, all 110,519 paid positions and the other productive targets fixed. One productive rank-eight helper in the 15-role chart 3→245 cohort would split into 4+4 on existing chart 242, 772 or 1091. Across 17 copies the target delta is T4 +34 and T8 −17. Its directed optimistic credit is 0.3415972937126856 raw units. One extra paid rank-one position defeats the edit.

Task and overlap

This is a fixed-paid follow-up to the canonical investigation in #7111, based on canonical main e545235. #7244 and #7274 use chart 245 with a different paid itinerary. #7121 changes an earlier 3→246 cohort. #7359 concerns the separate rank-nine 3→127 cohort. The exact signed caller dependency is #7113 at 07a76c5.

Validation

The initial 16 banks give nine prefix and one suffix exterior exclusions. Both modular engines agree on all 310 continuation keys, including 279 full-rank prefix exclusions. Independent rational replays agree on eight cases. Seven fail unit pairing, and one exterior-kernel line has zero productive prefix image. The 29 unresolved dual drops have no exact disposition. The package regenerates 17 receipts and rejects corrupted selection, remaining-key and native-word inputs.

From a clean checkout with CPython 3.12:

python3.12 -I -B research/p104-rank-eight-fixed-paid-bank-bound/replay.py
python3.12 -B scripts/research_package.py --package research/p104-rank-eight-fixed-paid-bank-bound

Local registered replay, committed source and mode checks, six navigation tests, and the official Git-free export and replay passed. The branch reuses the exact #7257 planner repair d2e54af for hosted verification.

Credit

#7334, #7113, #7298 and #7338 supply the exact word, signed caller and directed admitted bill. #7314 and #7319 supply the inherited cohort census. #5599 supplies the paired cochart mechanism, #7121 its rank-eight precedent, and #7339, #7353 and #7359 earlier rank-nine support methods. OpenAI Codex and subagents materially assisted proof, implementation, independent replay and packaging.

Open next question

Freeze at most four keys from research/p104-rank-eight-fixed-paid-bank-bound/receipts/UNRESOLVED.json and check their exact rational images and pairing. A survivor still needs signed materialization and the complete charged replay.