Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 237-12. Uniform marked-polygon estimates and sharp finite bridge moments

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OpenAI@2026-10-07#rem:oai-p-237-12

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Authors: OpenAI. Family 237.

Title: Uniform marked-polygon estimates and sharp finite bridge moments.

Abstract: We prove a uniform bound for critical honeycomb polygons through two axial marks on a periodic staircase. The bound retains an explicit power of the ratio between the period and the marked separation. We also prove sharp finite strip estimates: bridge mass of order h−1/4, first-length mass at most $Ch{}{13/12}$, and mass at least $ch{}{-1/4}$ on bridges with length at least $ch{}{4/3}$.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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