{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:FCENPQDIAWXCPNTLUXRBEDYP6W","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ee016c3b8b0dd15b2b04ad5ff573a93ea88651da5677cbef5d2b41be47b862fb","cross_cats_sorted":["cs.DB"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LO","submitted_at":"2024-12-10T23:59:12Z","title_canon_sha256":"d2842ffbb75f519ab39648b1264a50d68ceaebaaa81775287a0dfb67df976189"},"schema_version":"1.0","source":{"id":"2412.07986","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.07986","created_at":"2026-07-05T09:47:42Z"},{"alias_kind":"arxiv_version","alias_value":"2412.07986v1","created_at":"2026-07-05T09:47:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.07986","created_at":"2026-07-05T09:47:42Z"},{"alias_kind":"pith_short_12","alias_value":"FCENPQDIAWXC","created_at":"2026-07-05T09:47:42Z"},{"alias_kind":"pith_short_16","alias_value":"FCENPQDIAWXCPNTL","created_at":"2026-07-05T09:47:42Z"},{"alias_kind":"pith_short_8","alias_value":"FCENPQDI","created_at":"2026-07-05T09:47:42Z"}],"graph_snapshots":[{"event_id":"sha256:f7a3167b2d134d75f7545941eda14e07d337e5ec2a0946854e961333d8a9d0fd","target":"graph","created_at":"2026-07-05T09:47:42Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2412.07986/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A provenance analysis for a query evaluation or a model checking computation extracts information on how its result depends on the atomic facts of the model or database. Traditional work on data provenance was, to a large extent, restricted to positive query languages or the negation-free fragment of first-order logic and showed how provenance abstractions can be usefully described as elements of commutative semirings -- most generally as multivariate polynomials with positive integer coefficients. We describe and evaluate here a provenance approach for dealing with negation, based on quotient","authors_text":"Erich Gr\\\"adel, Val Tannen","cross_cats":["cs.DB"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LO","submitted_at":"2024-12-10T23:59:12Z","title":"Provenance Analysis and Semiring Semantics for First-Order Logic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.07986","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:201a79679a13e199004f2ca0532e698eade54c0055ee06498a4307745277f8b8","target":"record","created_at":"2026-07-05T09:47:42Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ee016c3b8b0dd15b2b04ad5ff573a93ea88651da5677cbef5d2b41be47b862fb","cross_cats_sorted":["cs.DB"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LO","submitted_at":"2024-12-10T23:59:12Z","title_canon_sha256":"d2842ffbb75f519ab39648b1264a50d68ceaebaaa81775287a0dfb67df976189"},"schema_version":"1.0","source":{"id":"2412.07986","kind":"arxiv","version":1}},"canonical_sha256":"2888d7c06805ae27b66ba5e2120f0ff5b25932465f34c83eb4ed691f41bc5848","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2888d7c06805ae27b66ba5e2120f0ff5b25932465f34c83eb4ed691f41bc5848","first_computed_at":"2026-07-05T09:47:42.616150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:47:42.616150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/Zech2Wd3Qo57Jmq5BUSqsiDuTbjvTykMSRlY2j5GQ5nZqs7H6OoiGQ17SG/UCPg0rwNkm6bQt9NpnZEZTxsDA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:47:42.616795Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.07986","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:201a79679a13e199004f2ca0532e698eade54c0055ee06498a4307745277f8b8","sha256:f7a3167b2d134d75f7545941eda14e07d337e5ec2a0946854e961333d8a9d0fd"],"state_sha256":"37b83b832589b28e0265e7efc2f1f4b322b8cef69c924e462eeec65fb0798824"}