{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:GDYEQ5WLJGWHNENQXCFX27Q2BB","short_pith_number":"pith:GDYEQ5WL","schema_version":"1.0","canonical_sha256":"30f04876cb49ac7691b0b88b7d7e1a0872365963b68fc29d9a29affae883a6d7","source":{"kind":"arxiv","id":"1803.10847","version":3},"attestation_state":"computed","paper":{"title":"Algebraic Semantics for Nelson's Logic S","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Jo\\~ao Marcos, Matthew Spinks, Thiago Nascimento, Umberto Rivieccio","submitted_at":"2018-03-28T20:49:26Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1803.10847","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-03-28T20:49:26Z","cross_cats_sorted":[],"title_canon_sha256":"713c5059a19e586aa8249fec8be8043ee57b9dff1e23aeb4319ce0d45212104a","abstract_canon_sha256":"a06e57b6a163e2b85e2e7f36cbf7dd8a100c4fac5994a6876feee50f52f55d09"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:44.513479Z","signature_b64":"Oh70Vtj+6SShclTztzprMf+uvJRn0OmFv+LE1HfLN5PfNsAgezlWeH75cQ9V9V4gl8/0BcjjWVeabqP8wf94DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30f04876cb49ac7691b0b88b7d7e1a0872365963b68fc29d9a29affae883a6d7","last_reissued_at":"2026-05-18T00:13:44.512778Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:44.512778Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Algebraic Semantics for Nelson's Logic S","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Jo\\~ao Marcos, Matthew Spinks, Thiago Nascimento, Umberto Rivieccio","submitted_at":"2018-03-28T20:49:26Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.10847","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1803.10847","created_at":"2026-05-18T00:13:44.512889+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.10847v3","created_at":"2026-05-18T00:13:44.512889+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.10847","created_at":"2026-05-18T00:13:44.512889+00:00"},{"alias_kind":"pith_short_12","alias_value":"GDYEQ5WLJGWH","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_16","alias_value":"GDYEQ5WLJGWHNENQ","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_8","alias_value":"GDYEQ5WL","created_at":"2026-05-18T12:32:25.280505+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GDYEQ5WLJGWHNENQXCFX27Q2BB","json":"https://pith.science/pith/GDYEQ5WLJGWHNENQXCFX27Q2BB.json","graph_json":"https://pith.science/api/pith-number/GDYEQ5WLJGWHNENQXCFX27Q2BB/graph.json","events_json":"https://pith.science/api/pith-number/GDYEQ5WLJGWHNENQXCFX27Q2BB/events.json","paper":"https://pith.science/paper/GDYEQ5WL"},"agent_actions":{"view_html":"https://pith.science/pith/GDYEQ5WLJGWHNENQXCFX27Q2BB","download_json":"https://pith.science/pith/GDYEQ5WLJGWHNENQXCFX27Q2BB.json","view_paper":"https://pith.science/paper/GDYEQ5WL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.10847&json=true","fetch_graph":"https://pith.science/api/pith-number/GDYEQ5WLJGWHNENQXCFX27Q2BB/graph.json","fetch_events":"https://pith.science/api/pith-number/GDYEQ5WLJGWHNENQXCFX27Q2BB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GDYEQ5WLJGWHNENQXCFX27Q2BB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GDYEQ5WLJGWHNENQXCFX27Q2BB/action/storage_attestation","attest_author":"https://pith.science/pith/GDYEQ5WLJGWHNENQXCFX27Q2BB/action/author_attestation","sign_citation":"https://pith.science/pith/GDYEQ5WLJGWHNENQXCFX27Q2BB/action/citation_signature","submit_replication":"https://pith.science/pith/GDYEQ5WLJGWHNENQXCFX27Q2BB/action/replication_record"}},"created_at":"2026-05-18T00:13:44.512889+00:00","updated_at":"2026-05-18T00:13:44.512889+00:00"}