[ToikY]

Change and mathematical scope

NO VERIFIED GAIN. Exact conditional κ change 0%. On exact #7314, no eligible 3→240 cohort peer shares helper 863's chart at any of 25 protected cuts on charts 76 and 399. The rank-two fallback on the other 11 cohort roles contains 28 occupied chart-bank intervals, covering 4,126 chart-cut pairs and 35 representative pivot keys. Exact rational elimination and independent modular exterior minors give full exterior rank on every bank. Zero keys remain unresolved within this scope.

The complete signed price was saved before support. A one-target fixed-paid split would keep 110,536 paid positions and raise productive positions from 22,461 to 22,478. Its optimistic upper is 0.171210776243 raw units, rounded upward. One additional paid rank-one position erases either partition's margin. The compatible saving after the exact gate is zero.

Task and overlap

Round 63 of Discussion #7111. Exact #7314 at 9d0119eb12fbd9fa534b48cd37b68e7099757b91 is the independently reproduced comparator at κ = 0.003646221436446, with the unchanged #7113 caller at 07a76c5e2738882c0cb322278e56f6cae3c9885d. #7303 tests singleton rescalings on #7277. #7313 tests charged rank-six changes, and #7331 prices splits of crossing paid paths. This package keeps paid paths fixed. The branch retains the exact #7257 replay prerequisites.

Replay

python3.12 -I -B research/p104-chart240-rank-four-split-bound/replay.py
python3.12 -B scripts/research_package.py --package research/p104-chart240-rank-four-split-bound
python3.12 -B scripts/check_research_commit.py --package research/p104-chart240-rank-four-split-bound --check-modes --check-source-history

Registered replay, commit bytes/modes/source history, Git-free export and six navigation checks passed locally. Standalone replay reproduces four authenticated receipts and rejects stale price and corrupted caller inputs. The suffix and native physical checks were unnecessary because the prefix failed in every eligible case. Other endpoint cohorts, rank-one/rank-three pivots outside the protected interval, and changed paid paths remain open.

Credit

#7314, #7113 and #7298 supply the exact word, caller and tariff. #7319 supplied the reused price adapter. Credit #5599, #7121 and #7130 for the cochart split and legal basis methods and #7303, #7313 and #7331 for related exclusions and pricing. OpenAI Codex and subagents materially assisted.