{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:NJOT4A53LAB5PJB5WEX54WB3EL","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":"f0df931e36813e71a457c337b698a0cf84f45c9afc5bf10c33b3a9e03d7d58fe","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2022-03-07T14:18:44Z","title_canon_sha256":"7defe817f33b3430c025895950a6939324a21863083e7ec18705d06ccffd2046"},"schema_version":"1.0","source":{"id":"2203.03425","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.03425","created_at":"2026-07-05T04:02:34Z"},{"alias_kind":"arxiv_version","alias_value":"2203.03425v1","created_at":"2026-07-05T04:02:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.03425","created_at":"2026-07-05T04:02:34Z"},{"alias_kind":"pith_short_12","alias_value":"NJOT4A53LAB5","created_at":"2026-07-05T04:02:34Z"},{"alias_kind":"pith_short_16","alias_value":"NJOT4A53LAB5PJB5","created_at":"2026-07-05T04:02:34Z"},{"alias_kind":"pith_short_8","alias_value":"NJOT4A53","created_at":"2026-07-05T04:02:34Z"}],"graph_snapshots":[{"event_id":"sha256:353f473cfc084e18aadfcf0cb5a35efe5ad60ffee448da95dd2b1bd6aab38ff0","target":"graph","created_at":"2026-07-05T04:02:34Z","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/2203.03425/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Semiring semantics evaluates logical statements by values in some commutative semiring K. Random semiring interpretations, induced by a probability distribution on K, generalise random structures, and we investigate here the question of how classical results on first-order logic on random structures, most importantly the 0-1 laws of Glebskii et al. and Fagin, generalise to semiring semantics. For positive semirings, the classical 0-1 law implies that every first-order sentence is, asymptotically, either almost surely evaluated to 0 by random semiring interpretations, or almost surely takes onl","authors_text":"Erich Gr\\\"adel, Hayyan Helal, Matthias Naaf, Richard Wilke","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2022-03-07T14:18:44Z","title":"Zero-One Laws and Almost Sure Valuations of First-Order Logic in Semiring Semantics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.03425","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:ea3def42a2fcc0f82b69335d6fafb12e1716ebb8ebf4911ac8b7a6441ce2e2b5","target":"record","created_at":"2026-07-05T04:02:34Z","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":"f0df931e36813e71a457c337b698a0cf84f45c9afc5bf10c33b3a9e03d7d58fe","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2022-03-07T14:18:44Z","title_canon_sha256":"7defe817f33b3430c025895950a6939324a21863083e7ec18705d06ccffd2046"},"schema_version":"1.0","source":{"id":"2203.03425","kind":"arxiv","version":1}},"canonical_sha256":"6a5d3e03bb5803d7a43db12fde583b22c0ad094b84e4df366f0bac586eab5da4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a5d3e03bb5803d7a43db12fde583b22c0ad094b84e4df366f0bac586eab5da4","first_computed_at":"2026-07-05T04:02:34.295822Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:02:34.295822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fhdzlIaAVilVe8ndcckYeoVdS7JW+KJ+IAeqZyhIK4Ia0H5+ozOs4FaApDGdNaCIJjP2VN9N/UsrrTPaS5KsCw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:02:34.296237Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.03425","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea3def42a2fcc0f82b69335d6fafb12e1716ebb8ebf4911ac8b7a6441ce2e2b5","sha256:353f473cfc084e18aadfcf0cb5a35efe5ad60ffee448da95dd2b1bd6aab38ff0"],"state_sha256":"72544ab35ce2211c04dde129b4acef4a60ee6ae85490a144c57fd89f1533ce33"}