{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:6QVTQN5DTDA3HEVRBZMLC6XUJE","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":"43817d367bd1eda50db0ddcf608f94765f03dc7f30e73e265934d50b6a98516e","cross_cats_sorted":["math.DS","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2024-10-28T16:52:59Z","title_canon_sha256":"ce09ba8540a0b0a5b033fc06e907f953545c1df5234b71e9d8027799b0c77574"},"schema_version":"1.0","source":{"id":"2410.21208","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.21208","created_at":"2026-07-05T10:43:40Z"},{"alias_kind":"arxiv_version","alias_value":"2410.21208v3","created_at":"2026-07-05T10:43:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.21208","created_at":"2026-07-05T10:43:40Z"},{"alias_kind":"pith_short_12","alias_value":"6QVTQN5DTDA3","created_at":"2026-07-05T10:43:40Z"},{"alias_kind":"pith_short_16","alias_value":"6QVTQN5DTDA3HEVR","created_at":"2026-07-05T10:43:40Z"},{"alias_kind":"pith_short_8","alias_value":"6QVTQN5D","created_at":"2026-07-05T10:43:40Z"}],"graph_snapshots":[{"event_id":"sha256:0eee4f17649e50f90ab294a182becba9bdb39d49980b6c4214fab55790baf30d","target":"graph","created_at":"2026-07-05T10:43:40Z","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/2410.21208/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide a 3 dimensional contact geometric characterization of Anosov 3-flows based on interactions with Reeb dynamics. We investigate basic properties of the space of the resulting geometries and in particular show that such space is homotopy equivalent to the space of Anosov 3-flows. A technical theorem on the asymptotic synchronization of adapted norms is proved, which can be of broader interest.","authors_text":"Surena Hozoori","cross_cats":["math.DS","math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2024-10-28T16:52:59Z","title":"Strongly adapted contact geometry of Anosov 3-flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.21208","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":"sha256:021a739aade3ce38d194ba5a39d17e37a4e0fa041258c2cdbf672a9108125d0f","target":"record","created_at":"2026-07-05T10:43:40Z","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":"43817d367bd1eda50db0ddcf608f94765f03dc7f30e73e265934d50b6a98516e","cross_cats_sorted":["math.DS","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2024-10-28T16:52:59Z","title_canon_sha256":"ce09ba8540a0b0a5b033fc06e907f953545c1df5234b71e9d8027799b0c77574"},"schema_version":"1.0","source":{"id":"2410.21208","kind":"arxiv","version":3}},"canonical_sha256":"f42b3837a398c1b392b10e58b17af4490ed67c3d00095df562f967480a3625ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f42b3837a398c1b392b10e58b17af4490ed67c3d00095df562f967480a3625ee","first_computed_at":"2026-07-05T10:43:40.525350Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:43:40.525350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pEOJzNpId7DoqWe2F3BukWRKzAmobFjkFSwUz4Vz/qWnePxUWU1j2qqjOTuP+VTb/TXxDMtm3GD++1R9ylVxBA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:43:40.525847Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.21208","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:021a739aade3ce38d194ba5a39d17e37a4e0fa041258c2cdbf672a9108125d0f","sha256:0eee4f17649e50f90ab294a182becba9bdb39d49980b6c4214fab55790baf30d"],"state_sha256":"1ce0d09076fafa6289049e3df66ad2fca541df25213947a95ac94e8587144ecc"}