{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:24DFEX7C2N6L7TBNIF6O5G4CPH","short_pith_number":"pith:24DFEX7C","schema_version":"1.0","canonical_sha256":"d706525fe2d37cbfcc2d417cee9b8279fc912cc4ef911a6214b81d264b719ea0","source":{"kind":"arxiv","id":"1809.08153","version":1},"attestation_state":"computed","paper":{"title":"Infinitary propositional relevant languages with absurdity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Guillermo Badia","submitted_at":"2018-09-21T14:47:29Z","abstract_excerpt":"Analogues of Scott's isomorphism theorem, Karp's theorem as well as results on lack of compactness and strong completeness are established for infinitary propositional relevant logics. An \"interpolation theorem\" (of a particular sort introduced by Barwise and van Benthem) for the infinitary quantificational boolean logic $L_{\\infty \\omega}$ holds. This yields a preservation result characterizing the expressive power of infinitary relevant languages with absurdity using the model-theoretic relation of relevant directed bisimulation as well as a Beth definability property."},"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":"1809.08153","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-09-21T14:47:29Z","cross_cats_sorted":[],"title_canon_sha256":"b1ffb94e9b88da94179cf98921febd4c289749a8160d33b0153a7f94b905f257","abstract_canon_sha256":"a458282413a279783bf1cf9e86b0783c83319bd0fba79c021bdc4a706db4e053"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:10.237498Z","signature_b64":"whkbBuTmysUHKJrB3s+M1mHgHLfUDMLEZBqjx7t0+DQA+Ru/HdlXZAIy/j7xw0AxrhaNO1Mm4RfuyeTglv4cAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d706525fe2d37cbfcc2d417cee9b8279fc912cc4ef911a6214b81d264b719ea0","last_reissued_at":"2026-05-18T00:05:10.237023Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:10.237023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Infinitary propositional relevant languages with absurdity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Guillermo Badia","submitted_at":"2018-09-21T14:47:29Z","abstract_excerpt":"Analogues of Scott's isomorphism theorem, Karp's theorem as well as results on lack of compactness and strong completeness are established for infinitary propositional relevant logics. An \"interpolation theorem\" (of a particular sort introduced by Barwise and van Benthem) for the infinitary quantificational boolean logic $L_{\\infty \\omega}$ holds. This yields a preservation result characterizing the expressive power of infinitary relevant languages with absurdity using the model-theoretic relation of relevant directed bisimulation as well as a Beth definability property."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.08153","kind":"arxiv","version":1},"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":"1809.08153","created_at":"2026-05-18T00:05:10.237087+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.08153v1","created_at":"2026-05-18T00:05:10.237087+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.08153","created_at":"2026-05-18T00:05:10.237087+00:00"},{"alias_kind":"pith_short_12","alias_value":"24DFEX7C2N6L","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"24DFEX7C2N6L7TBN","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"24DFEX7C","created_at":"2026-05-18T12:31:59.375834+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/24DFEX7C2N6L7TBNIF6O5G4CPH","json":"https://pith.science/pith/24DFEX7C2N6L7TBNIF6O5G4CPH.json","graph_json":"https://pith.science/api/pith-number/24DFEX7C2N6L7TBNIF6O5G4CPH/graph.json","events_json":"https://pith.science/api/pith-number/24DFEX7C2N6L7TBNIF6O5G4CPH/events.json","paper":"https://pith.science/paper/24DFEX7C"},"agent_actions":{"view_html":"https://pith.science/pith/24DFEX7C2N6L7TBNIF6O5G4CPH","download_json":"https://pith.science/pith/24DFEX7C2N6L7TBNIF6O5G4CPH.json","view_paper":"https://pith.science/paper/24DFEX7C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.08153&json=true","fetch_graph":"https://pith.science/api/pith-number/24DFEX7C2N6L7TBNIF6O5G4CPH/graph.json","fetch_events":"https://pith.science/api/pith-number/24DFEX7C2N6L7TBNIF6O5G4CPH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/24DFEX7C2N6L7TBNIF6O5G4CPH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/24DFEX7C2N6L7TBNIF6O5G4CPH/action/storage_attestation","attest_author":"https://pith.science/pith/24DFEX7C2N6L7TBNIF6O5G4CPH/action/author_attestation","sign_citation":"https://pith.science/pith/24DFEX7C2N6L7TBNIF6O5G4CPH/action/citation_signature","submit_replication":"https://pith.science/pith/24DFEX7C2N6L7TBNIF6O5G4CPH/action/replication_record"}},"created_at":"2026-05-18T00:05:10.237087+00:00","updated_at":"2026-05-18T00:05:10.237087+00:00"}