{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:HZH6CVLRVBDTBCQPN4LCW7OUGI","short_pith_number":"pith:HZH6CVLR","schema_version":"1.0","canonical_sha256":"3e4fe15571a847308a0f6f162b7dd43222ba0005e38424b4dfff48c8d55fa61d","source":{"kind":"arxiv","id":"2001.02155","version":2},"attestation_state":"computed","paper":{"title":"Pomset logic: the other approach to non commutativity in logic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"cs.LO","authors_text":"Christian Retor\\'e","submitted_at":"2020-01-07T16:28:34Z","abstract_excerpt":"Thirty years ago, I introduced a non-commutative variant of classical linear logic, called \"pomset logic\", issued from a particular categorical interpretation of linear logic known as coherence spaces. In addition to the usual commutative multiplicative connectives of linear logic, pomset logic includes a non-commutative connective, \"$\\triangleleft$\" called \"before\", associative and self-dual: $(A\\triangleleft B)^\\perp=A^\\perp \\triangleleft B^\\perp$. The conclusion of a pomset logic proof is a Partially Ordered MultiSET of formulas. Pomset logic enjoys a proof net calculus with cut-elimination"},"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":"2001.02155","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2020-01-07T16:28:34Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"ca298b6f4529d01bf179c446bee5900d2d358a73586f9afc4af5c179405c99ef","abstract_canon_sha256":"6d8f9dacea1ff01fb9208afcea43719fb8e473df51f176033d7175124df09796"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:38:25.418496Z","signature_b64":"Y5xZmICZfN/KTn2LqsI95VdIudb+SoYko5yWdqTOkpiBeZ3KAumGo+Xbw1HkIFCl8HgUsUjM8JuEIjV0Eso9Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e4fe15571a847308a0f6f162b7dd43222ba0005e38424b4dfff48c8d55fa61d","last_reissued_at":"2026-07-05T05:38:25.418022Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:38:25.418022Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pomset logic: the other approach to non commutativity in logic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"cs.LO","authors_text":"Christian Retor\\'e","submitted_at":"2020-01-07T16:28:34Z","abstract_excerpt":"Thirty years ago, I introduced a non-commutative variant of classical linear logic, called \"pomset logic\", issued from a particular categorical interpretation of linear logic known as coherence spaces. In addition to the usual commutative multiplicative connectives of linear logic, pomset logic includes a non-commutative connective, \"$\\triangleleft$\" called \"before\", associative and self-dual: $(A\\triangleleft B)^\\perp=A^\\perp \\triangleleft B^\\perp$. The conclusion of a pomset logic proof is a Partially Ordered MultiSET of formulas. Pomset logic enjoys a proof net calculus with cut-elimination"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.02155","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2001.02155/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2001.02155","created_at":"2026-07-05T05:38:25.418074+00:00"},{"alias_kind":"arxiv_version","alias_value":"2001.02155v2","created_at":"2026-07-05T05:38:25.418074+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.02155","created_at":"2026-07-05T05:38:25.418074+00:00"},{"alias_kind":"pith_short_12","alias_value":"HZH6CVLRVBDT","created_at":"2026-07-05T05:38:25.418074+00:00"},{"alias_kind":"pith_short_16","alias_value":"HZH6CVLRVBDTBCQP","created_at":"2026-07-05T05:38:25.418074+00:00"},{"alias_kind":"pith_short_8","alias_value":"HZH6CVLR","created_at":"2026-07-05T05:38:25.418074+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/HZH6CVLRVBDTBCQPN4LCW7OUGI","json":"https://pith.science/pith/HZH6CVLRVBDTBCQPN4LCW7OUGI.json","graph_json":"https://pith.science/api/pith-number/HZH6CVLRVBDTBCQPN4LCW7OUGI/graph.json","events_json":"https://pith.science/api/pith-number/HZH6CVLRVBDTBCQPN4LCW7OUGI/events.json","paper":"https://pith.science/paper/HZH6CVLR"},"agent_actions":{"view_html":"https://pith.science/pith/HZH6CVLRVBDTBCQPN4LCW7OUGI","download_json":"https://pith.science/pith/HZH6CVLRVBDTBCQPN4LCW7OUGI.json","view_paper":"https://pith.science/paper/HZH6CVLR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2001.02155&json=true","fetch_graph":"https://pith.science/api/pith-number/HZH6CVLRVBDTBCQPN4LCW7OUGI/graph.json","fetch_events":"https://pith.science/api/pith-number/HZH6CVLRVBDTBCQPN4LCW7OUGI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HZH6CVLRVBDTBCQPN4LCW7OUGI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HZH6CVLRVBDTBCQPN4LCW7OUGI/action/storage_attestation","attest_author":"https://pith.science/pith/HZH6CVLRVBDTBCQPN4LCW7OUGI/action/author_attestation","sign_citation":"https://pith.science/pith/HZH6CVLRVBDTBCQPN4LCW7OUGI/action/citation_signature","submit_replication":"https://pith.science/pith/HZH6CVLRVBDTBCQPN4LCW7OUGI/action/replication_record"}},"created_at":"2026-07-05T05:38:25.418074+00:00","updated_at":"2026-07-05T05:38:25.418074+00:00"}