{"paper":{"title":"Auditing Combinatorial Randomness from Finite Transcripts","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CR","math.IT","stat.ME"],"primary_cat":"cs.IT","authors_text":"Faruk Alpay, Levent Sarioglu","submitted_at":"2026-06-20T13:17:44Z","abstract_excerpt":"Public randomness is a security primitive whose deployed behavior is often observable only through a finite transcript. We study black-box auditing of $k$-subset draws from $m$ labels under the exact uniform-without-replacement null. The outcome space has size $\\binom{m}{k}$, and unrestricted uniformity testing therefore requires $\\Theta(\\sqrt{\\binom{m}{k}}/\\varepsilon^2)$ samples, establishing an information-theoretic limit on transcript-only certification. For structured faults, we construct generator-agnostic audits on the hypersimplex using marginal chi-square, pair maxima, serial overlap,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.22034","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.22034/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}