# Case 08: Immediate zero-additive uniform policy

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

## Proposed claim

The source uniform implementation has zero additive movement cost and practical activation within this finite request horizon.

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/110.md](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/lean/docs/110.md), SHA-256 `398ad379c334661bdba0c43c96f500483c18f73efb94123e79a79cd7b76c8afc`.
- [lean/ComparatorChallenges/UniformKServer.lean](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/lean/ComparatorChallenges/UniformKServer.lean), SHA-256 `5defbe05414f2769784983a55aeb30ccc94c692e700f0772579febbf7a7b78cb`.
- [preprints/Uniform-computation-of-the-squared-logarithmic-k-server-bound-September-24-2026/build/source/sections/04-uniform-computation.tex](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Uniform-computation-of-the-squared-logarithmic-k-server-bound-September-24-2026/build/source/sections/04-uniform-computation.tex), SHA-256 `1910910ef41491c73d562e368976ca3e44ef6c21b8b6746b6f55f19f292b69b3`.

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.