{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:KQZ4TKLQRUOSLHKMENQRZYJMZJ","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":"cff484063b326091ca9ad7928ce2c182643cdcf0bdf7de15c0bab7a5e9d4866f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-02-09T22:30:58Z","title_canon_sha256":"9b80bc6b0a66ce22a4b58ae2991758cb18779baf9ed9e444a5eccf87ac3a9e93"},"schema_version":"1.0","source":{"id":"1102.1999","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1999","created_at":"2026-05-18T01:28:44Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1999v6","created_at":"2026-05-18T01:28:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1999","created_at":"2026-05-18T01:28:44Z"},{"alias_kind":"pith_short_12","alias_value":"KQZ4TKLQRUOS","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"KQZ4TKLQRUOSLHKM","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"KQZ4TKLQ","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:72a7416a4d66b75b4be2b46976fc9d33c2b4a26edb4e578171f7ff5b61b1cf83","target":"graph","created_at":"2026-05-18T01:28:44Z","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"},"paper":{"abstract_excerpt":"In this paper we review some of the main achievements of the semiring-theoretic approach to MV-algebras initiated and pursued mainly by the present authors and their collaborators. The survey focuses mainly on the connections between MV-algebras and other theories that such a semiringbased approach enabled, and on an application of such a framework to Digital Image Processing. We also give some suggestions for further developments by stating several open problems and possible research lines.","authors_text":"Antonio Di Nola, Ciro Russo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-02-09T22:30:58Z","title":"The semiring-theoretic approach to MV-algebras: a survey"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1999","kind":"arxiv","version":6},"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":"sha256:721188692e73284b6797d8c69253aa3dc5aa72465bd145618c626ae4c66cead7","target":"record","created_at":"2026-05-18T01:28:44Z","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":"cff484063b326091ca9ad7928ce2c182643cdcf0bdf7de15c0bab7a5e9d4866f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-02-09T22:30:58Z","title_canon_sha256":"9b80bc6b0a66ce22a4b58ae2991758cb18779baf9ed9e444a5eccf87ac3a9e93"},"schema_version":"1.0","source":{"id":"1102.1999","kind":"arxiv","version":6}},"canonical_sha256":"5433c9a9708d1d259d4c23611ce12cca6232e6920ac26f8ed8d888de967baa11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5433c9a9708d1d259d4c23611ce12cca6232e6920ac26f8ed8d888de967baa11","first_computed_at":"2026-05-18T01:28:44.589033Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:44.589033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hBlP42GqYN+Pyw12iluj7yTLZc7A1iX2MUcGBPlHofIGRlaS1YtDeQYWoY5Rwj1Y7c/EAbLf8hFsyZo9L5mcBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:44.589541Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.1999","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:721188692e73284b6797d8c69253aa3dc5aa72465bd145618c626ae4c66cead7","sha256:72a7416a4d66b75b4be2b46976fc9d33c2b4a26edb4e578171f7ff5b61b1cf83"],"state_sha256":"889d082015ac5cc49a732adadc04a126ad1352ec34013fb82ade4fc02bf21dc0"}