{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:C2OU2DV42JSMJCBXO3X2UJPXWM","short_pith_number":"pith:C2OU2DV4","schema_version":"1.0","canonical_sha256":"169d4d0ebcd264c4883776efaa25f7b333d57de11d6d662a0c04317b0f43af5c","source":{"kind":"arxiv","id":"math/0504037","version":1},"attestation_state":"computed","paper":{"title":"Modelling Linear Logic Without Units (Preliminary Results)","license":"","headline":"","cross_cats":["cs.LO","math.LO"],"primary_cat":"math.CT","authors_text":"Andrea Schalk, Dominic Hughes, Robin Houston","submitted_at":"2005-04-03T09:55:06Z","abstract_excerpt":"We describe a notion of categorical model for unitless fragments of (multiplicative) linear logic. The basic definition uses promonoidal categories, and we also give an equivalent elementary axiomatisation."},"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":"math/0504037","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CT","submitted_at":"2005-04-03T09:55:06Z","cross_cats_sorted":["cs.LO","math.LO"],"title_canon_sha256":"fc0f52f14b867b77e07ed6ead9a22db6c15d5e02f3b3fcb6c0e46596435d5bd1","abstract_canon_sha256":"8c73c663b49256b57f9924eeaf2e3e2fdbfd7155d04e9473237f745b304f775d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:00.472287Z","signature_b64":"PvbLILV5ijoJEUR656NR1JNwwLlqwI/WRv2b8bp6gWWHtpKoE8p+jxEVdYuY1puECxp9/nyrhoOJM+FlYwtLBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"169d4d0ebcd264c4883776efaa25f7b333d57de11d6d662a0c04317b0f43af5c","last_reissued_at":"2026-05-18T03:26:00.471514Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:00.471514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modelling Linear Logic Without Units (Preliminary Results)","license":"","headline":"","cross_cats":["cs.LO","math.LO"],"primary_cat":"math.CT","authors_text":"Andrea Schalk, Dominic Hughes, Robin Houston","submitted_at":"2005-04-03T09:55:06Z","abstract_excerpt":"We describe a notion of categorical model for unitless fragments of (multiplicative) linear logic. The basic definition uses promonoidal categories, and we also give an equivalent elementary axiomatisation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0504037","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":"math/0504037","created_at":"2026-05-18T03:26:00.471638+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0504037v1","created_at":"2026-05-18T03:26:00.471638+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0504037","created_at":"2026-05-18T03:26:00.471638+00:00"},{"alias_kind":"pith_short_12","alias_value":"C2OU2DV42JSM","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"C2OU2DV42JSMJCBX","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"C2OU2DV4","created_at":"2026-05-18T12:25:53.335082+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/C2OU2DV42JSMJCBXO3X2UJPXWM","json":"https://pith.science/pith/C2OU2DV42JSMJCBXO3X2UJPXWM.json","graph_json":"https://pith.science/api/pith-number/C2OU2DV42JSMJCBXO3X2UJPXWM/graph.json","events_json":"https://pith.science/api/pith-number/C2OU2DV42JSMJCBXO3X2UJPXWM/events.json","paper":"https://pith.science/paper/C2OU2DV4"},"agent_actions":{"view_html":"https://pith.science/pith/C2OU2DV42JSMJCBXO3X2UJPXWM","download_json":"https://pith.science/pith/C2OU2DV42JSMJCBXO3X2UJPXWM.json","view_paper":"https://pith.science/paper/C2OU2DV4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0504037&json=true","fetch_graph":"https://pith.science/api/pith-number/C2OU2DV42JSMJCBXO3X2UJPXWM/graph.json","fetch_events":"https://pith.science/api/pith-number/C2OU2DV42JSMJCBXO3X2UJPXWM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C2OU2DV42JSMJCBXO3X2UJPXWM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C2OU2DV42JSMJCBXO3X2UJPXWM/action/storage_attestation","attest_author":"https://pith.science/pith/C2OU2DV42JSMJCBXO3X2UJPXWM/action/author_attestation","sign_citation":"https://pith.science/pith/C2OU2DV42JSMJCBXO3X2UJPXWM/action/citation_signature","submit_replication":"https://pith.science/pith/C2OU2DV42JSMJCBXO3X2UJPXWM/action/replication_record"}},"created_at":"2026-05-18T03:26:00.471638+00:00","updated_at":"2026-05-18T03:26:00.471638+00:00"}