{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:ADWT6WD2V4ZSVTTX2M7BTQWFAZ","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":"5906bfce1e5f260bb0501facf410febe64b258ed61cd0b9b463f0ce7b6ab1a68","cross_cats_sorted":["math.SG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2023-01-02T19:13:17Z","title_canon_sha256":"4ba47a9a02cb6fea8551ed9e5d6f6791543e8c72dcd864e2ba928d8cd1e94f32"},"schema_version":"1.0","source":{"id":"2301.00842","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.00842","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"arxiv_version","alias_value":"2301.00842v4","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.00842","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"pith_short_12","alias_value":"ADWT6WD2V4ZS","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"pith_short_16","alias_value":"ADWT6WD2V4ZSVTTX","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"pith_short_8","alias_value":"ADWT6WD2","created_at":"2026-06-19T16:11:07Z"}],"graph_snapshots":[{"event_id":"sha256:13207776c6f16d88ffff0a2664a7c7eed070efd170b2617291d78cc2737f5a4e","target":"graph","created_at":"2026-06-19T16:11:07Z","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/2301.00842/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that in dimension 3, Anosov flows which are $\\mathbb{R}$-covered and skewed are orbit equivalent to Reeb-Anosov flows. We characterize the existence of an invariant contact form or of a Birkhoff section with a given boundary, in terms of linking numbers between two invariant signed measures. Furthermore, we prove the existence of open book decompositions with one boundary component for Reeb-Anosov flows.","authors_text":"Th\\'eo Marty","cross_cats":["math.SG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2023-01-02T19:13:17Z","title":"Skewed Anosov flows are orbit equivalent to Reeb-Anosov flows in dimension 3"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.00842","kind":"arxiv","version":4},"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":"sha256:0d09b8cf2fa649c65713220464cfbf2357674fafc2093bb2b0991d13bb5a2b97","target":"record","created_at":"2026-06-19T16:11:07Z","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":"5906bfce1e5f260bb0501facf410febe64b258ed61cd0b9b463f0ce7b6ab1a68","cross_cats_sorted":["math.SG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2023-01-02T19:13:17Z","title_canon_sha256":"4ba47a9a02cb6fea8551ed9e5d6f6791543e8c72dcd864e2ba928d8cd1e94f32"},"schema_version":"1.0","source":{"id":"2301.00842","kind":"arxiv","version":4}},"canonical_sha256":"00ed3f587aaf332ace77d33e19c2c506679f03334bf6def6778f1133ddf1fa2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00ed3f587aaf332ace77d33e19c2c506679f03334bf6def6778f1133ddf1fa2b","first_computed_at":"2026-06-19T16:11:07.466597Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:11:07.466597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0vbjNYudF4NynlnCck9EW4cBFPxILPgW+2CRxfYs59kL1Okgxvn6yl6DtFJTnSvnZJVU4QSh5lZh65gWL0mKDQ==","signature_status":"signed_v1","signed_at":"2026-06-19T16:11:07.466978Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.00842","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d09b8cf2fa649c65713220464cfbf2357674fafc2093bb2b0991d13bb5a2b97","sha256:13207776c6f16d88ffff0a2664a7c7eed070efd170b2617291d78cc2737f5a4e"],"state_sha256":"b12fdade81aca9a7cab7a6b29a71dd04313e506aaa1faa640e7b3e8eb9ad9522"}