{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:YLC5WG5VJD5O45ECLARCZM7JYG","short_pith_number":"pith:YLC5WG5V","schema_version":"1.0","canonical_sha256":"c2c5db1bb548faee748258222cb3e9c18b41b5f7763011e4aece110eaf31415f","source":{"kind":"arxiv","id":"2208.02745","version":3},"attestation_state":"computed","paper":{"title":"A homotopy coherent nerve for $(\\infty,n)$-categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.AT","authors_text":"Lyne Moser, Martina Rovelli, Nima Rasekh","submitted_at":"2022-08-04T16:19:10Z","abstract_excerpt":"In the case of $(\\infty,1)$-categories, the homotopy coherent nerve gives a right Quillen equivalence between the models of simplicially enriched categories and of quasi-categories. This shows that homotopy coherent diagrams of $(\\infty,1)$-categories can equivalently be defined as functors of quasi-categories or as simplicially enriched functors out of the homotopy coherent categorifications.\n  In this paper, we construct a homotopy coherent nerve for $(\\infty,n)$-categories. We show that it realizes a right Quillen equivalence between the models of categories strictly enriched in $(\\infty,n-"},"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":"2208.02745","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2022-08-04T16:19:10Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"3947e7f8b2491769e34fe4768fdba9ac9df873d8b5d384b05124ff41d622d0e6","abstract_canon_sha256":"90cef8461019c0d0c9d40bb1a2894fe1f7d56a9ae421ce2496744daeb5759bdf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:41:36.845796Z","signature_b64":"PhSwyAMciowhizVBmiBdM08jCq8pd2JkHG9Xn3Z10ni73DQztNxGumQWi0hU8DNfpqccLicp0qfu1OKHV4oRBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2c5db1bb548faee748258222cb3e9c18b41b5f7763011e4aece110eaf31415f","last_reissued_at":"2026-07-05T07:41:36.845255Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:41:36.845255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A homotopy coherent nerve for $(\\infty,n)$-categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.AT","authors_text":"Lyne Moser, Martina Rovelli, Nima Rasekh","submitted_at":"2022-08-04T16:19:10Z","abstract_excerpt":"In the case of $(\\infty,1)$-categories, the homotopy coherent nerve gives a right Quillen equivalence between the models of simplicially enriched categories and of quasi-categories. This shows that homotopy coherent diagrams of $(\\infty,1)$-categories can equivalently be defined as functors of quasi-categories or as simplicially enriched functors out of the homotopy coherent categorifications.\n  In this paper, we construct a homotopy coherent nerve for $(\\infty,n)$-categories. We show that it realizes a right Quillen equivalence between the models of categories strictly enriched in $(\\infty,n-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.02745","kind":"arxiv","version":3},"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/2208.02745/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":"2208.02745","created_at":"2026-07-05T07:41:36.845307+00:00"},{"alias_kind":"arxiv_version","alias_value":"2208.02745v3","created_at":"2026-07-05T07:41:36.845307+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.02745","created_at":"2026-07-05T07:41:36.845307+00:00"},{"alias_kind":"pith_short_12","alias_value":"YLC5WG5VJD5O","created_at":"2026-07-05T07:41:36.845307+00:00"},{"alias_kind":"pith_short_16","alias_value":"YLC5WG5VJD5O45EC","created_at":"2026-07-05T07:41:36.845307+00:00"},{"alias_kind":"pith_short_8","alias_value":"YLC5WG5V","created_at":"2026-07-05T07:41:36.845307+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/YLC5WG5VJD5O45ECLARCZM7JYG","json":"https://pith.science/pith/YLC5WG5VJD5O45ECLARCZM7JYG.json","graph_json":"https://pith.science/api/pith-number/YLC5WG5VJD5O45ECLARCZM7JYG/graph.json","events_json":"https://pith.science/api/pith-number/YLC5WG5VJD5O45ECLARCZM7JYG/events.json","paper":"https://pith.science/paper/YLC5WG5V"},"agent_actions":{"view_html":"https://pith.science/pith/YLC5WG5VJD5O45ECLARCZM7JYG","download_json":"https://pith.science/pith/YLC5WG5VJD5O45ECLARCZM7JYG.json","view_paper":"https://pith.science/paper/YLC5WG5V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2208.02745&json=true","fetch_graph":"https://pith.science/api/pith-number/YLC5WG5VJD5O45ECLARCZM7JYG/graph.json","fetch_events":"https://pith.science/api/pith-number/YLC5WG5VJD5O45ECLARCZM7JYG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YLC5WG5VJD5O45ECLARCZM7JYG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YLC5WG5VJD5O45ECLARCZM7JYG/action/storage_attestation","attest_author":"https://pith.science/pith/YLC5WG5VJD5O45ECLARCZM7JYG/action/author_attestation","sign_citation":"https://pith.science/pith/YLC5WG5VJD5O45ECLARCZM7JYG/action/citation_signature","submit_replication":"https://pith.science/pith/YLC5WG5VJD5O45ECLARCZM7JYG/action/replication_record"}},"created_at":"2026-07-05T07:41:36.845307+00:00","updated_at":"2026-07-05T07:41:36.845307+00:00"}