Declarations as Boundary Conditions: A Fixture-Level Audit of the Uniqueness Reading

This paper presents a complete worked audit of the boundary-condition interpretation developed within the Identity-Persistence Program. Rather than introducing new mathematics, it evaluates a synthetic declaration system using the published declaration language, conformance procedure, and recognition framework to determine whether the interpretation makes falsifiable, machine-checkable predictions. The audit executes the declared fixture end to end and demonstrates redundancy detection, ambiguity reduction, obstruction behavior, forward and inverse ambiguity analyses, and recognition-map factorization within the synthetic instance. All computational claims are explicitly restricted to the published fixture; no claims are made about the actual corpus, undeclared regimes, or production declaration system. Companion artifacts accompanying this Zenodo record include the declaration fixture, deterministic audit runner, replayable machine audit, curated history ledger, README, and artifact manifest. Together they provide an independently reproducible reference implementation of the fixture-level audit described in the paper. The contribution is methodological rather than mathematical. It demonstrates that the published specification can be executed reproducibly on a synthetic declaration system while maintaining explicit claim-status discipline between interpreted readings, applied fixture results, conjectures, and non-claims.