[Clear1nsight]

Change and mathematical scope

Propose conditional κ = 0.003645473221716, up 0.000000100853884 over exact #7244. Please review this as a candidate for the conditional frontier. Selected #7000 stays at 0.00363005817.

Route continuation 1499 through chart 245 on its existing 1091 → 127 path. After the donors' last external reads, apply the common correction at 245. The second retirement's antisymmetric gather is unchanged. Apply the terminal basis at 245, so helper 991 can return at rank eight instead of taking its rank-one exit to 127.

The complete per-native change is T8 +1, T9 −1, P4 +1, P5 −1. The signed caller charges all 17 occurrences: 22,461 productive positions, 110,553 paid positions, surplus 1,424 and zero empty-root credit. The signed moment improves by strict concavity. The independently bounded fixed-invoice crossing is [0.00364547322171601989948043948889132, 0.00364547322171601989948043948889133]; the #7244 invoice rejects the new price.

Task and overlap

Canonical main: e54523517d0f03e58352e647c403a5af3e525a57 (priority revision 8). Exact #7244: 215f67247f395c0e15f5ea3980f6a3e4aed155af. Exact #7113 signed caller: 07a76c5e2738882c0cb322278e56f6cae3c9885d. Changed p104-side-correction scope: claim and handoff. This changes the paid itinerary and one productive boundary. #7245/#7259 keep outputs fixed; #7246's one-input monomial decoder does not model the timed donor correction. The fixed-itinerary Pro analysis found no earlier split; it did not verify this new word.

Validation

python3.12 -B scripts/research_package.py --package research/p104-funded-shorter-return

All four local scientific stages passed on CPython 3.12.3 (Linux x86-64; about 14 minutes total). The exact package binds the 76,444-event word to its frozen predecessor, checks all forward/adjoint coefficients and affected Gaussian columns with phase, recomputes the native grid and precision, and replays the actual signed caller and compiler. The separate proposed-claim check compares all nine outer savings, 54 strict checks and four functional checks. Controls cover an omitted correction, a premature correction affecting 779, the terminal basis, dirty COPY, physical phase and insufficient BIT. See the proof and local replay receipt.

The five framework assumptions remain. This is finite source and application evidence; independent human review, formal proof, materialized multiplication and maintainer selection remain open. The branch includes the two exact #7257 prerequisite commits so the unchanged upstream workflow can run this package. They do not change the selected record or this scientific result.

Credit

Clear1nsight and #7244; Rohan Arun/dillona and the #7161 rechart and split chain; the #7113 signed caller; ToikY, Ali Romman, Jerry Chen/CubeJerry, DreamingOfClouds and the retained native, compiler, precision and outer contributors. Substantial OpenAI Codex and ChatGPT Pro assistance. Apache-2.0; predecessor notices are retained.

Open next questions

Independently replay and assess the conditional frontier proposal. Separately, can a carrier already visiting chart 245 supply the same correction and avoid splitting 1499's paid move? The task record gives the first checks.

[Clear1nsight]

Exact-head verification for ff79af7a208132e16d51ceca3e1428444894367e (attempt 1): planning and both registered replays passed. The candidate job reproduced the changed native, complete signed caller, all 3,036 catalogue entries, and the separate frontier proposal at κ = 0.003645473221716. Its committed-input check also passed.

The canonical handoff requests independent frontier review. The five framework assumptions and selected #7000 remain unchanged.