# Single-action mixing claim contract

Family 145, source revision `fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb`. Selected-source addendum, 9 October 2026 Australia/Brisbane. All earlier editions are preserved.

## Current decision

Research assurance module; defer quantitative waiting-time claims. No buyer interview, paid pilot or profitability evidence has been obtained.

## Reviewed finding and application boundary

The theorem concerns one invertible measure-preserving probability action and asymptotic all-gap separation. No finite rate was selected. Auxiliary arrays in the proof do not add independent time generators; multiple-generator counterexamples and a finite XOR table are different models.

## Evidence extent

- [01-introduction.tex](../../../../../source/openai-math/preprints/Rokhlins-multiple-mixing-problem-for-one-transformation-September-23-2026/build/sections/01-introduction.tex): entire 194-line introduction. One invertible measure-preserving probability action, ordinary-to-all-order asymptotic implication, single-generator scope and no selected rate.

[Source metadata](source.json), [individual definition observations](../../definition-hole-review-queue-2026-10-09-v3.json), [manuscript ledger](../../../../checkpoints/manuscript-ledger-2026-10-09-v4.json). Selected definition/body and challenge comparison found no intended-model mismatch; imported dependency semantics, complete proof, independent kernel and executable correspondence are not verified. Intentional challenge placeholders do not establish source proof failure.

## Next action

Develop finite controls where they answer a concrete modeling question, inspect quantitative construction constants separately, and compare business usefulness with an existing expert workflow. Preserve unknown hypotheses and source claims explicitly.