[ToikY]

Change and mathematical scope

NO VERIFIED GAIN. Test the first crossed receiver of one proposed three-MOVE contraction of role 930 on exact #7334. At pre-event 42651, the retained carrier value has coefficient −1 on input 930 and the receiver has +1/2. The required update cancels the receiver coefficient, while unchanged donors 165 and 586 each have zero. An invertible same-clock chart-652 repair cannot erase that direction.

Grant one fresh zero-owned scratch lifetime to erase the receiver and reconstruct its full signed post-row. Input 893 has coefficient +1/2 in the required row and zero on both unchanged donors. The target raises their exact rowspace rank from two to three. Both fixed-clock repair scopes are excluded by independent forward and reverse replays. Later receivers and other clocks were outside the test.

The whole one-edit gross ceiling is 0.4127144682830788 raw units, from replacing ranks 2, 4 and 1 by 7 across 17 calls. Even one new paid rank-one position defeats that price. The verified saving is zero.

Task and overlap

Use exact #7334 at aaeec8c0acf01e99a5f331ef363a698d9c084ace and signed #7113 at 07a76c5e2738882c0cb322278e56f6cae3c9885d. Earlier #7274-word endpoint membership motivates the test. #7312 excludes a common lift on the original recipient. This package addresses the distinct same-clock donor and zero-scratch repair. The package is the only new research commit, stacked on the existing #7257 CI commits.

Validation

python3.12 -I -B research/p104-first-receiver-contraction-bound/replay.py

Clean replay authenticates both words, rebuilds the full price and reproduces six deterministic receipts. Altered inputs and duplicate path keys reject. Registered replay, committed bytes and modes, source history, navigation and official Git-free export replay passed locally. No full candidate replay was reached after the first-receiver gate failed.

Credit

#7274 supplies the earlier native source, #7312 the constituent common-lift obstruction, #7338 and #7383 distinct paid contraction scopes, #7387 and #7389 owned reconstruction precedents, #7355 the signed row method, and #7362 and #7298 the full quote. #7334 and #7113 supply the current word and signed caller. OpenAI Codex and subagents materially assisted.

Open next questions

A delayed receiver, changed donor itinerary or new input would need its own exact signed support and paid quote. The later receiver and final endpoint were not tested.