{"paper":{"title":"Determination Provenance: From Ambiguity to Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DC","cs.LO"],"primary_cat":"cs.DB","authors_text":"Joseph M. Hellerstein","submitted_at":"2026-06-09T00:35:17Z","abstract_excerpt":"Many data systems admit multiple admissible outcomes for the same input: concurrent transactions may serialize in one of many orders; a logic program may have multiple stable models. Classical data provenance cannot even pose its question in such settings -- it explains how a result was derived, but only after something has chosen which result to produce. We introduce \\emph{determination provenance} to track the commitments that resolve this ambiguity. A tuple's \\emph{support} is the set of resolutions under which it holds. Supports form a commutative semiring, and layered commitments induce a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10270","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/2606.10270/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"}