[rohanarun]

The complete signed construction improves conditional κ to 0.003640761374142, a gain of 0.000000659186746 over #7121. A global frame assignment changes seven helper input frames and 22 scalar contact charts and removes four paid MOVEs per native call. Scalar coefficients/order, main endpoints, owned inventory and the exact 17-stage caller are retained.

The initial draft was published immediately after the exact native adjoint, complete invoice and both directed price checks passed. Subsequent full native/application verification and the registered isolated Python 3.12 replay passed locally, comparing every frozen receipt field. The package contains the complete proof argument, authenticated predecessor source closure, construction, full receipts and replay log.

Validation covers exact forward/adjoint endpoints; affected Gaussian columns and phase; all 3,047 catalogue checks and 104 main boundary pairs; independent native/caller grids; physical ownership; ordinary work and precision; fixed-tape substitution; both directed price engines; 54 strict and four functional outer conditions; and corruption controls. The complete application has 110,655 paid positions, 22,274 productive fields, ordinary work 777,717,464 and precision context 2,344.

The raw crossing is (0.0036407613741422058608084968767767, 0.0036407613741422058608084968767768). Both engines reject the predecessor invoice at the new claim. This is a bound for this emitted construction, not a global optimum. The five inherited framework assumptions remain; local replay is distinct from independent human/formal review, maintainer admission and selected-frontier updates. Hosted CI status is shown separately in the checks panel.

Per-native ΔT={4:−2,5:+2,7:−1,8:−3,9:+4}; ΔP={1:−6,2:+1,3:+1,4:−8,5:+8}. Both rank masses increase by seven, preserving the full rank surplus of 1,424. The complete caller repeats the changes 17 times.

python3.12 -B scripts/research_package.py --package research/p104-global-input-rechart

The exact #7121 source head is 1670baa28f5a9631286591068d7cc2934d2c2d37; all nested sources and notices are retained. Credit 1337isnot1337/OpenAI Codex for the fresh-helper-boundary alpha-expansion method; Ali Romman, Jerry Chen/CubeJerry, ToikY, dillona, Matarener, DreamingOfClouds, Douglas Colkitt/#7000 reviewers, Rohan Arun's #7113 caller, and every retained source notice. Rohan Arun with substantial OpenAI Codex assistance; no subagents.

Also carries the existing #7113 correction to docs/ci-verification.md: its current section referred to #6030 while the selected record is #7000. This caused the initial CI planner's documentation test to fail. The targeted test passes with the correction; no selected result or frozen scientific source is changed.