# Case 09: Narrow documentary transport control

Self-authored synthetic review scenario, not a published software claim or customer assertion. The source material is public and pinned to `fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb`.

## Proposed claim

A hypothetical record declares the source uniform convex-body model, unique quadratic maps and one-third L2/W2 stability; every required documentary status is supplied for a completeness control.

Review the [declared model and statuses](input.json) against the source. Cases 09/10 deliberately supply synthetic statuses to test documentary completeness. Those statuses are not authenticated evidence or proven hypotheses. Other cases explicitly leave operational obligations unknown.

## Source pointers

- [lean/docs/374.md](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/lean/docs/374.md), SHA-256 `db319fc02b2a12ef2e60b7322c24b50f1ff41c16366da563da9dc9b3f11d0fa5`.
- [lean/OAI/Analysis/Brenier/Basic.lean](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/lean/OAI/Analysis/Brenier/Basic.lean), SHA-256 `1a6ccd5ee35afe99ffd5f20aceced072d2852038ed8ae82d99b215d94634b837`.
- [lean/OAI/Analysis/Brenier/Stability.lean](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/lean/OAI/Analysis/Brenier/Stability.lean), SHA-256 `30be40a80f4518c674b76afd9ad73c93c2bdfdb4d08cd09b302d3ea0eddfc97a`.
- [preprints/Sharp-One-Third-Stability-of-Brenier-Maps-September-25-2026/build/source/sections/gradient.tex](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Sharp-One-Third-Stability-of-Brenier-Maps-September-25-2026/build/source/sections/gradient.tex), SHA-256 `9ea85375b635fd322e71cb7c87cfc015cff8189b2b64fef3a5dbb7a12abba377`.

Pointers identify exact files, not a new complete-file reading, theorem proof or selected-run certificate. Determine the statement, hypotheses, formal coverage and missing model/implementation bridges from the source itself.

## Review fields

Record preparation seconds, material gaps with exact evidence locations, unsure items, false alarms after adjudication and correction seconds in the [blank result template](../review-results-template.json). Do not open the report/key during the source-only arm. No expert has completed either arm.