[ToikY]

Change and mathematical scope

NO VERIFIED GAIN. Exact conditional κ change 0%. On the exact #7277 native word, both charged rank-six productive split partitions are exhausted. The 3+4 partition covers 83 signatures and 714 representative cut incidences. The 2+5 partition covers 83 signatures and 346 incidences. Every enlarged helper cohort has zero pure prefix at the checked cuts. The independent reverse-first replay finds 24 nonzero suffix incidences for 3+4 and zero for 2+5. Both partitions have zero unresolved in scope.

Each alternative adds one paid rank-one endpoint child and replaces one rank-six productive job by ranks 3+4 or 2+5 in each of 17 native copies. The directed price-only lower margins at the old crossing upper are about 0.1174506515937458 and 0.08102479309361352 raw units. The complete compatible saving after exact support is zero.

Task and overlap

Refines the charged endpoint family at canonical base e54523517d0f03e58352e647c403a5af3e525a57. Exact #7277 ed090b57ed88f8859e5ff4643645099e6ba856ea is still the independently reproduced comparator at κ = 0.003645669928698. #7113 at 07a76c5e2738882c0cb322278e56f6cae3c9885d supplies the signed caller. #7142 gives a higher-rank charged extension on an older word. #7303 holds rank mass fixed. This package covers the two priced rank-six partitions under the retained chart and ownership chronology. The branch carries the two exact #7257 hosted prerequisites.

Validation

From a clean checkout with CPython 3.12 and assertions enabled:

python3.12 -B scripts/research_package.py --package research/p104-charged-rank-six-support-bound
python3.12 -B scripts/check_research_commit.py --package research/p104-charged-rank-six-support-bound --check-modes --check-source-history

Registered, committed-byte/mode/source-history, six navigation tests, and Git-free export passed. Both engines regenerate the complete signed price and exact cut evidence, with ten full plaintext receipt hashes. The standalone replay can emit those receipts with --out fresh-receipts. A known-good cocharted basis fixture passes, and wrong pairing, omitted MOVE and modified price controls reject. No changed native, caller or outer verifier ran because neither partition yielded a literal candidate.

Credit

#7277 and #7113 supply the native word, invoice and signed caller. #7142 supplies charged endpoint funding, #5599 and #7130 supply cocharted split and basis methods, #7299 supplies related pricing, and #7308 supplies the retained invoice audit. Round 37 supplies the typed price census and Round 38 supplies the independent higher-rank replay shape. OpenAI Codex and subagents materially assisted.

Open next questions

Pin a changed chronology or endpoint mechanism, bound its full compatible stock, and require exact prefix and suffix support before building. Smaller ranks and changed charts remain outside this result.