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Correct format ceiling displays and stage endpoint checks - #602

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Mister-Meeseeks merged 1 commit into
CrocSwap:mainfrom
artuskg:codex/pr595-ceiling-endpoint-correction-20261012
Oct 12, 2026
Merged

Mister-Meeseeks merged 1 commit into
CrocSwap:mainfrom
artuskg:codex/pr595-ceiling-endpoint-correction-20261012

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@artuskg

@artuskg artuskg commented Oct 12, 2026

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Summary

Follow-up to #595 by @DreamingOfClouds. The published headline κ ≤ 0.0051595 remains valid. Two finer inequalities rounded their upper bounds downward; this changes them to outward upper displays 0.0051594939 for the complex side and 0.005964704 for the bit-only corollary.

The A2 stage comparison now places competing certified upper bounds below the lower endpoint of X(5), which proves that stage 5 is the maximum. A1 now checks the displayed ceilings as exact rational inequalities and reports the certified bounds. The package checksum manifest is updated for the three edited files.

Scope

These are conditional S2 accounting ceilings for the realized units and retained balanced outer assembly described in #595. They are not a global lower bound, an achieved rate, or a provider certificate. The unit floors and imported structural lemmas remain premises of that result.

Verification

  • python3 -B scripts/a1_ceiling_roots.py — all checks passed, including exact rational upper inequalities.
  • python3 -B scripts/a2_ceiling_sup.py — all checks passed for both units, finite stages, and tail checks.
  • SHA-256 manifest entries match each edited package file; git diff --check passed.
  • The independent rational audit found limiting values 0.005159493816457... and 0.005964703560823..., both below the new outward displays, and independently verified the strict lower-endpoint stage comparison.

The full package verifier was not run in this sparse checkout because its vendored inputs and other package files were not checked out.

@Mister-Meeseeks
Mister-Meeseeks merged commit b812a6b into CrocSwap:main Oct 12, 2026
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