{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:M2TBJPJHV33FALDC5BJ2ASKL5S","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":"6dfb3607defaee382f0aaf0e8b2d7520e796d65551402af6c4834603fa30c473","cross_cats_sorted":["math.AT","math.LO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CT","submitted_at":"2022-10-17T11:22:12Z","title_canon_sha256":"716ded3bcb7932e03fc4606665c1bef6cfd38aa344851eb4da9dd9e264322180"},"schema_version":"1.0","source":{"id":"2210.08945","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.08945","created_at":"2026-07-05T05:07:55Z"},{"alias_kind":"arxiv_version","alias_value":"2210.08945v1","created_at":"2026-07-05T05:07:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.08945","created_at":"2026-07-05T05:07:55Z"},{"alias_kind":"pith_short_12","alias_value":"M2TBJPJHV33F","created_at":"2026-07-05T05:07:55Z"},{"alias_kind":"pith_short_16","alias_value":"M2TBJPJHV33FALDC","created_at":"2026-07-05T05:07:55Z"},{"alias_kind":"pith_short_8","alias_value":"M2TBJPJH","created_at":"2026-07-05T05:07:55Z"}],"graph_snapshots":[{"event_id":"sha256:77155425ebabb6fb7b8b8360ee521269f3a4ba708edb6b94bf4571ed8aee9a1e","target":"graph","created_at":"2026-07-05T05:07:55Z","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/2210.08945/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give a new proof of the straightening/unstraightening correspondence by proving a generalization of the univalence property of the universal coCartesian fibration.","authors_text":"Denis-Charles Cisinski, Hoang Kim Nguyen","cross_cats":["math.AT","math.LO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CT","submitted_at":"2022-10-17T11:22:12Z","title":"The universal coCartesian fibration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.08945","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":"sha256:9f643baf91b6dca45fb3b56d0941b46ffa9694d695a7246365d4d8715431d1ec","target":"record","created_at":"2026-07-05T05:07:55Z","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":"6dfb3607defaee382f0aaf0e8b2d7520e796d65551402af6c4834603fa30c473","cross_cats_sorted":["math.AT","math.LO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CT","submitted_at":"2022-10-17T11:22:12Z","title_canon_sha256":"716ded3bcb7932e03fc4606665c1bef6cfd38aa344851eb4da9dd9e264322180"},"schema_version":"1.0","source":{"id":"2210.08945","kind":"arxiv","version":1}},"canonical_sha256":"66a614bd27aef6502c62e853a0494beca40b1519e857b5e5445377b39d5286c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66a614bd27aef6502c62e853a0494beca40b1519e857b5e5445377b39d5286c4","first_computed_at":"2026-07-05T05:07:55.757586Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:07:55.757586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yKazb+7vywjo0usGjM4rPA7oM5kiyZj7AxO3hJOMgpM+yf1AA0Jzq/eMc0jw9yMvdct8J6gQECK7RigVvQ/3Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:07:55.758014Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.08945","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f643baf91b6dca45fb3b56d0941b46ffa9694d695a7246365d4d8715431d1ec","sha256:77155425ebabb6fb7b8b8360ee521269f3a4ba708edb6b94bf4571ed8aee9a1e"],"state_sha256":"709d10ca4947a7328e72c25938676b3c74f3003627edf746b06bb0f24e0571d5"}