{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GDYEQ5WLJGWHNENQXCFX27Q2BB","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":"a06e57b6a163e2b85e2e7f36cbf7dd8a100c4fac5994a6876feee50f52f55d09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-03-28T20:49:26Z","title_canon_sha256":"713c5059a19e586aa8249fec8be8043ee57b9dff1e23aeb4319ce0d45212104a"},"schema_version":"1.0","source":{"id":"1803.10847","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.10847","created_at":"2026-05-18T00:13:44Z"},{"alias_kind":"arxiv_version","alias_value":"1803.10847v3","created_at":"2026-05-18T00:13:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.10847","created_at":"2026-05-18T00:13:44Z"},{"alias_kind":"pith_short_12","alias_value":"GDYEQ5WLJGWH","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GDYEQ5WLJGWHNENQ","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GDYEQ5WL","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:31b86ecc866fc6f2130bc56aafaa0533a146295f6d8afdaa39d641eeecced1f7","target":"graph","created_at":"2026-05-18T00:13:44Z","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":"Besides the better-known Nelson's Logic and Paraconsistent Nelson's Logic, in \"Negation and separation of concepts in constructive systems\" (1959), David Nelson introduced a logic called S with the aim of analyzing the constructive content of provable negation statements in mathematics. Motivated by results from Kleene, in \"On the Interpretation of Intuitionistic Number Theory\" (1945), Nelson investigated a more symmetric recursive definition of truth, according to which a formula could be either primitively verified or refuted. The logic S was defined by means of a calculus lacking the contra","authors_text":"Jo\\~ao Marcos, Matthew Spinks, Thiago Nascimento, Umberto Rivieccio","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-03-28T20:49:26Z","title":"Algebraic Semantics for Nelson's Logic S"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.10847","kind":"arxiv","version":3},"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":"sha256:50feb42fd661fb033db355a581dbc88052b7d0a7cb83701aea3bfe09c96546b3","target":"record","created_at":"2026-05-18T00:13:44Z","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":"a06e57b6a163e2b85e2e7f36cbf7dd8a100c4fac5994a6876feee50f52f55d09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-03-28T20:49:26Z","title_canon_sha256":"713c5059a19e586aa8249fec8be8043ee57b9dff1e23aeb4319ce0d45212104a"},"schema_version":"1.0","source":{"id":"1803.10847","kind":"arxiv","version":3}},"canonical_sha256":"30f04876cb49ac7691b0b88b7d7e1a0872365963b68fc29d9a29affae883a6d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30f04876cb49ac7691b0b88b7d7e1a0872365963b68fc29d9a29affae883a6d7","first_computed_at":"2026-05-18T00:13:44.512778Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:44.512778Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Oh70Vtj+6SShclTztzprMf+uvJRn0OmFv+LE1HfLN5PfNsAgezlWeH75cQ9V9V4gl8/0BcjjWVeabqP8wf94DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:44.513479Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.10847","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50feb42fd661fb033db355a581dbc88052b7d0a7cb83701aea3bfe09c96546b3","sha256:31b86ecc866fc6f2130bc56aafaa0533a146295f6d8afdaa39d641eeecced1f7"],"state_sha256":"b746aca164096845f948222aaafb2ea252d55c51d6e7cf2fde5f0b8a91fbd0ed"}