{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:Z2VIQJO54DBCUIQXSQJWTUKLH2","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":"65f837a4e9438d3a50f29721c3bd3d25454ad751bd15f51f3d328217f3d00de2","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2023-11-02T09:09:50Z","title_canon_sha256":"55f8ad1e213494611a904b72d5c90dde0d64f359f77e56480f802b67006b6703"},"schema_version":"1.0","source":{"id":"2311.01101","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.01101","created_at":"2026-07-05T07:38:53Z"},{"alias_kind":"arxiv_version","alias_value":"2311.01101v3","created_at":"2026-07-05T07:38:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.01101","created_at":"2026-07-05T07:38:53Z"},{"alias_kind":"pith_short_12","alias_value":"Z2VIQJO54DBC","created_at":"2026-07-05T07:38:53Z"},{"alias_kind":"pith_short_16","alias_value":"Z2VIQJO54DBCUIQX","created_at":"2026-07-05T07:38:53Z"},{"alias_kind":"pith_short_8","alias_value":"Z2VIQJO5","created_at":"2026-07-05T07:38:53Z"}],"graph_snapshots":[{"event_id":"sha256:27f2459b358c07ad28087bd7a601759bf1a279923ade34d32a4fc51311eb8054","target":"graph","created_at":"2026-07-05T07:38:53Z","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/2311.01101/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that the classification diagram functor from the category of marked simplicial sets to the category of bisimplicial sets carries cartesian equivalences to Rezk equivalences. As a corollary, we obtain Mazel-Gee's theorem on localizations of relative $\\infty$-categories.","authors_text":"Kensuke Arakawa","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2023-11-02T09:09:50Z","title":"Classification Diagrams of Marked Simplicial Sets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.01101","kind":"arxiv","version":3},"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:d7941bd6e2926fad864cd8198533cd3c1ddb31e0ad2c5f6bf9955d8e7b64e7be","target":"record","created_at":"2026-07-05T07:38:53Z","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":"65f837a4e9438d3a50f29721c3bd3d25454ad751bd15f51f3d328217f3d00de2","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2023-11-02T09:09:50Z","title_canon_sha256":"55f8ad1e213494611a904b72d5c90dde0d64f359f77e56480f802b67006b6703"},"schema_version":"1.0","source":{"id":"2311.01101","kind":"arxiv","version":3}},"canonical_sha256":"ceaa8825dde0c22a2217941369d14b3ea56e3bf0e1bcddbd4a2cdb0f8617eb09","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ceaa8825dde0c22a2217941369d14b3ea56e3bf0e1bcddbd4a2cdb0f8617eb09","first_computed_at":"2026-07-05T07:38:53.104988Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:38:53.104988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"edasirDc9mwygwSMla/4MbhE1JmYEGLr7BMZurcXZow6ZolLm7ieLWRZ9BZ2jo8FVK3kOuVS1sIQ5ShrxaXUCw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:38:53.105572Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.01101","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7941bd6e2926fad864cd8198533cd3c1ddb31e0ad2c5f6bf9955d8e7b64e7be","sha256:27f2459b358c07ad28087bd7a601759bf1a279923ade34d32a4fc51311eb8054"],"state_sha256":"7dcc6ce2531bf2b4691397dd7098b8087129a58c2ac12941816799f20972030f"}