{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:NWSLBWUEX7LDDDMHM5CZNVEEYY","short_pith_number":"pith:NWSLBWUE","schema_version":"1.0","canonical_sha256":"6da4b0da84bfd6318d87674596d484c60ce8df86d92ff979f2c4392e372dc349","source":{"kind":"arxiv","id":"1102.0979","version":1},"attestation_state":"computed","paper":{"title":"Biequivalences in tricategories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"Nick Gurski","submitted_at":"2011-02-04T17:39:58Z","abstract_excerpt":"We show that every internal biequivalence in a tricategory T is part of a biadjoint biequivalence. We give two applications of this result, one for transporting monoidal structures and one for equipping a monoidal bicategory with invertible objects with a coherent choice of those inverses."},"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":"1102.0979","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2011-02-04T17:39:58Z","cross_cats_sorted":[],"title_canon_sha256":"b5cc97ac6e01a7e2a4b0e4a779dc9a218414cd935c148f9faca21f74400aed95","abstract_canon_sha256":"c4c6f4fb05f4e4a505d107076a8dc82c78c5554d5d34c51e01af08d76e549a3d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:03.302428Z","signature_b64":"N9ZIjrpyfMD/A+189jCuqUDIzTHwv/Tc68qQd/ZXVnGQuOiXzW7GH9J1oIkF8Wy8aDZISK6knUYow2CLz2smAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6da4b0da84bfd6318d87674596d484c60ce8df86d92ff979f2c4392e372dc349","last_reissued_at":"2026-05-18T04:30:03.302013Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:03.302013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Biequivalences in tricategories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"Nick Gurski","submitted_at":"2011-02-04T17:39:58Z","abstract_excerpt":"We show that every internal biequivalence in a tricategory T is part of a biadjoint biequivalence. We give two applications of this result, one for transporting monoidal structures and one for equipping a monoidal bicategory with invertible objects with a coherent choice of those inverses."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0979","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":"1102.0979","created_at":"2026-05-18T04:30:03.302073+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.0979v1","created_at":"2026-05-18T04:30:03.302073+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0979","created_at":"2026-05-18T04:30:03.302073+00:00"},{"alias_kind":"pith_short_12","alias_value":"NWSLBWUEX7LD","created_at":"2026-05-18T12:26:37.096874+00:00"},{"alias_kind":"pith_short_16","alias_value":"NWSLBWUEX7LDDDMH","created_at":"2026-05-18T12:26:37.096874+00:00"},{"alias_kind":"pith_short_8","alias_value":"NWSLBWUE","created_at":"2026-05-18T12:26:37.096874+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/NWSLBWUEX7LDDDMHM5CZNVEEYY","json":"https://pith.science/pith/NWSLBWUEX7LDDDMHM5CZNVEEYY.json","graph_json":"https://pith.science/api/pith-number/NWSLBWUEX7LDDDMHM5CZNVEEYY/graph.json","events_json":"https://pith.science/api/pith-number/NWSLBWUEX7LDDDMHM5CZNVEEYY/events.json","paper":"https://pith.science/paper/NWSLBWUE"},"agent_actions":{"view_html":"https://pith.science/pith/NWSLBWUEX7LDDDMHM5CZNVEEYY","download_json":"https://pith.science/pith/NWSLBWUEX7LDDDMHM5CZNVEEYY.json","view_paper":"https://pith.science/paper/NWSLBWUE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.0979&json=true","fetch_graph":"https://pith.science/api/pith-number/NWSLBWUEX7LDDDMHM5CZNVEEYY/graph.json","fetch_events":"https://pith.science/api/pith-number/NWSLBWUEX7LDDDMHM5CZNVEEYY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NWSLBWUEX7LDDDMHM5CZNVEEYY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NWSLBWUEX7LDDDMHM5CZNVEEYY/action/storage_attestation","attest_author":"https://pith.science/pith/NWSLBWUEX7LDDDMHM5CZNVEEYY/action/author_attestation","sign_citation":"https://pith.science/pith/NWSLBWUEX7LDDDMHM5CZNVEEYY/action/citation_signature","submit_replication":"https://pith.science/pith/NWSLBWUEX7LDDDMHM5CZNVEEYY/action/replication_record"}},"created_at":"2026-05-18T04:30:03.302073+00:00","updated_at":"2026-05-18T04:30:03.302073+00:00"}