{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:FBE3UQPLON75CVUOAT5XEROKRA","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":"3235c16c4b0c29a8e3ca6a549a9f602d989264bbda82e0ec0004e57027c8303f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.DS","submitted_at":"2021-08-26T19:08:44Z","title_canon_sha256":"3615d62ffee46295418d90a2e3801ed19824f4ded362ad38ee285246c88108d2"},"schema_version":"1.0","source":{"id":"2108.12000","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.12000","created_at":"2026-07-05T11:12:14Z"},{"alias_kind":"arxiv_version","alias_value":"2108.12000v2","created_at":"2026-07-05T11:12:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.12000","created_at":"2026-07-05T11:12:14Z"},{"alias_kind":"pith_short_12","alias_value":"FBE3UQPLON75","created_at":"2026-07-05T11:12:14Z"},{"alias_kind":"pith_short_16","alias_value":"FBE3UQPLON75CVUO","created_at":"2026-07-05T11:12:14Z"},{"alias_kind":"pith_short_8","alias_value":"FBE3UQPL","created_at":"2026-07-05T11:12:14Z"}],"graph_snapshots":[{"event_id":"sha256:0bcf3f72348722eca009777e602630365a3c15190d8959bba7a856a551fae7a5","target":"graph","created_at":"2026-07-05T11:12:14Z","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/2108.12000/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that every transitive topologically Anosov flow on a closed 3-manifold is orbitally equivalent to a smooth Anosov flow, preserving an ergodic smooth volume form.","authors_text":"Mario Shannon","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.DS","submitted_at":"2021-08-26T19:08:44Z","title":"Hyperbolic models of transitive topologically Anosov flows in dimension three"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.12000","kind":"arxiv","version":2},"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":"sha256:969f62dbb72e712a84624d1aa52af0be549c0666d4862309bf2ba4e94a1317fc","target":"record","created_at":"2026-07-05T11:12:14Z","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":"3235c16c4b0c29a8e3ca6a549a9f602d989264bbda82e0ec0004e57027c8303f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.DS","submitted_at":"2021-08-26T19:08:44Z","title_canon_sha256":"3615d62ffee46295418d90a2e3801ed19824f4ded362ad38ee285246c88108d2"},"schema_version":"1.0","source":{"id":"2108.12000","kind":"arxiv","version":2}},"canonical_sha256":"2849ba41eb737fd1568e04fb7245ca8837b8915f91900f3d0d28525f03920f52","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2849ba41eb737fd1568e04fb7245ca8837b8915f91900f3d0d28525f03920f52","first_computed_at":"2026-07-05T11:12:14.371429Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:12:14.371429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x5qfNg5wE6VNOQZapVaRzQUpVwekSlZN9eyKwhHT8X2yFt40QwUDjBLpfvxDgpmgGeT4XZZ72najs7F1B2NTDA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:12:14.371854Z","signed_message":"canonical_sha256_bytes"},"source_id":"2108.12000","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:969f62dbb72e712a84624d1aa52af0be549c0666d4862309bf2ba4e94a1317fc","sha256:0bcf3f72348722eca009777e602630365a3c15190d8959bba7a856a551fae7a5"],"state_sha256":"6762030e77691ab27cd6a9e110765e4accc57340c64e56ff9d404fab30dc449d"}