{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:E34XGLIMNNWSZCO6NOALFXU7EW","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"454d56f400a41c25286d2e239fd0305d6f4efe48406ac29922db9eef13ce5ad3","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2023-11-01T00:15:17Z","title_canon_sha256":"23913dc2a8f0b47f36bc83bd80f9601e553c473c732361e54a211b27ce72c30b"},"schema_version":"1.0","source":{"id":"2311.00200","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.00200","created_at":"2026-07-05T07:07:43Z"},{"alias_kind":"arxiv_version","alias_value":"2311.00200v1","created_at":"2026-07-05T07:07:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.00200","created_at":"2026-07-05T07:07:43Z"},{"alias_kind":"pith_short_12","alias_value":"E34XGLIMNNWS","created_at":"2026-07-05T07:07:43Z"},{"alias_kind":"pith_short_16","alias_value":"E34XGLIMNNWSZCO6","created_at":"2026-07-05T07:07:43Z"},{"alias_kind":"pith_short_8","alias_value":"E34XGLIM","created_at":"2026-07-05T07:07:43Z"}],"graph_snapshots":[{"event_id":"sha256:2f7416f749e064c8bf79d6819b818ad5604f5d89894e32300c2b7066a6f7625d","target":"graph","created_at":"2026-07-05T07:07:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2311.00200/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We identify a reasonably large class of pushouts of strict $n$-categories which are preserved by the \"inclusion\" functor from strict $n$-categories to weak $(\\infty,n)$-categories. These include the pushouts used to assemble from its generating cells any object of Joyal's category $\\Theta$, any of Street's orientals, any lax Gray cube, and more generally any \"regular directed CW complex.\" More precisely, the theorem applies to any \\emph{torsion-free complex} in the sense of Forest -- a corrected version of Street's \\emph{parity complexes}.\n  This result may be regarded as partial progress towa","authors_text":"Timothy Campion","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2023-11-01T00:15:17Z","title":"An $(\\infty,n)$-categorical pasting theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.00200","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a2a143e608fd6d648c212fc2df8ed78c537af209db9313cd298e93356bb35c2a","target":"record","created_at":"2026-07-05T07:07:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"454d56f400a41c25286d2e239fd0305d6f4efe48406ac29922db9eef13ce5ad3","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2023-11-01T00:15:17Z","title_canon_sha256":"23913dc2a8f0b47f36bc83bd80f9601e553c473c732361e54a211b27ce72c30b"},"schema_version":"1.0","source":{"id":"2311.00200","kind":"arxiv","version":1}},"canonical_sha256":"26f9732d0c6b6d2c89de6b80b2de9f259e9eaec5dbad0d2a42eca78800b1231f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26f9732d0c6b6d2c89de6b80b2de9f259e9eaec5dbad0d2a42eca78800b1231f","first_computed_at":"2026-07-05T07:07:43.763935Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:07:43.763935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AVuks1bNje4tvLa6K6/00nkWwaTO9oYTZhhqU4JYFzK95k+LZTV6gJFMPIa6SGnmBsYeyvW2KU1/J0zpcetxDA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:07:43.764396Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.00200","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2a143e608fd6d648c212fc2df8ed78c537af209db9313cd298e93356bb35c2a","sha256:2f7416f749e064c8bf79d6819b818ad5604f5d89894e32300c2b7066a6f7625d"],"state_sha256":"f61a54f1e8e60d0775faa676f275ab991d5729446da6ef6ca3545ce509940e1e"}