{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:PXQ55EFXAOUW6V7WIY7EXCQGSM","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":"ee94e08d1956e0fc652c6acf633f89b625042985b3f251dd2c44ac14adb75cb8","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2013-10-22T13:45:50Z","title_canon_sha256":"07db30edb33793d8e5760490f92ff5074174a0a536316be1c491acb290992be5"},"schema_version":"1.0","source":{"id":"1310.5916","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.5916","created_at":"2026-05-18T03:09:24Z"},{"alias_kind":"arxiv_version","alias_value":"1310.5916v1","created_at":"2026-05-18T03:09:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.5916","created_at":"2026-05-18T03:09:24Z"},{"alias_kind":"pith_short_12","alias_value":"PXQ55EFXAOUW","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"PXQ55EFXAOUW6V7W","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"PXQ55EFX","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:6bd126e6328194d045a60b0b86592c5531e1aef5a813bedb65735824bbe0eecb","target":"graph","created_at":"2026-05-18T03:09:24Z","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 [Ban97] a connection among rough sets (in particular, pre-rough algebras) and three-valued {\\L}ukasiewicz logic {\\L}3 is pointed out. In this paper we present a temporal like semantics for Nilpotent Minimum logic NM ([Fod95, EG01]), in which the logic of every instant is given by {\\L}3: a completeness theorem will be shown. This is the prosecution of the work initiated in [AGM08] and [ABM09], in which the authors construct a temporal semantics for the many-valued logics of G\\\"odel ([G\\\"od32], [Dum59]) and Basic Logic ([H\\'aj98]).","authors_text":"Matteo Bianchi","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2013-10-22T13:45:50Z","title":"A temporal semantics for Nilpotent Minimum logic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5916","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:ac17b61f379a86166fe8f5f6e6025ae5a8cc71e5b11fb67089799752f2ba42e6","target":"record","created_at":"2026-05-18T03:09:24Z","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":"ee94e08d1956e0fc652c6acf633f89b625042985b3f251dd2c44ac14adb75cb8","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2013-10-22T13:45:50Z","title_canon_sha256":"07db30edb33793d8e5760490f92ff5074174a0a536316be1c491acb290992be5"},"schema_version":"1.0","source":{"id":"1310.5916","kind":"arxiv","version":1}},"canonical_sha256":"7de1de90b703a96f57f6463e4b8a069312d691fbd9d9b8c0e9f5153b6fde0c98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7de1de90b703a96f57f6463e4b8a069312d691fbd9d9b8c0e9f5153b6fde0c98","first_computed_at":"2026-05-18T03:09:24.066604Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:09:24.066604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zTCBjttpzjEtKJ8szS18AjJZA6Q2lUSH18jxYMjA1aUiTYjWa/avcyKBbaFPhVUKSmOgh5aQapsylH6lVh7fCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:09:24.067275Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.5916","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac17b61f379a86166fe8f5f6e6025ae5a8cc71e5b11fb67089799752f2ba42e6","sha256:6bd126e6328194d045a60b0b86592c5531e1aef5a813bedb65735824bbe0eecb"],"state_sha256":"7c4afa4453fade74993b326331ef2a50938dd8652a5493845db9c24941b7c42a"}