{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:AZGVBM3OWEQFNNNALSN4YAC727","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":"86dc63f0af706f0baef3943aade9607d1b5525b0417d826dc87a0ac4317eea9a","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2021-03-26T17:46:03Z","title_canon_sha256":"c6a57669373cf5e6a1cef08f6e5fc6da88696a3a9a010b92b0c65594a1a1c194"},"schema_version":"1.0","source":{"id":"2103.14630","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.14630","created_at":"2026-07-05T02:26:43Z"},{"alias_kind":"arxiv_version","alias_value":"2103.14630v1","created_at":"2026-07-05T02:26:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.14630","created_at":"2026-07-05T02:26:43Z"},{"alias_kind":"pith_short_12","alias_value":"AZGVBM3OWEQF","created_at":"2026-07-05T02:26:43Z"},{"alias_kind":"pith_short_16","alias_value":"AZGVBM3OWEQFNNNA","created_at":"2026-07-05T02:26:43Z"},{"alias_kind":"pith_short_8","alias_value":"AZGVBM3O","created_at":"2026-07-05T02:26:43Z"}],"graph_snapshots":[{"event_id":"sha256:57469122a32e13ee99f7645bdf2c259d2bfc821fc4bb2ccec080ec231ab042a7","target":"graph","created_at":"2026-07-05T02:26:43Z","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/2103.14630/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a class of partially hyperbolic diffeomorphisms introduced in [BFP] which is open and closed and contains all known examples. If in addition the diffeomorphism is non-wandering, then we show it is accessible unless it contains a su-torus. This implies that these systems are ergodic when they preserve volume, confirming a conjecture by Hertz-Hertz-Ures for this class of systems.","authors_text":"Rafael Potrie, Sergio R. Fenley","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2021-03-26T17:46:03Z","title":"Accessibility and ergodicity for collapsed Anosov flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.14630","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:f9f16e9901fd3133bb620bf6f2383b95cacdbfac300a3ef49931f154cbc75b87","target":"record","created_at":"2026-07-05T02:26:43Z","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":"86dc63f0af706f0baef3943aade9607d1b5525b0417d826dc87a0ac4317eea9a","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2021-03-26T17:46:03Z","title_canon_sha256":"c6a57669373cf5e6a1cef08f6e5fc6da88696a3a9a010b92b0c65594a1a1c194"},"schema_version":"1.0","source":{"id":"2103.14630","kind":"arxiv","version":1}},"canonical_sha256":"064d50b36eb12056b5a05c9bcc005fd7c33e3356a5c2683046ac248615634a1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"064d50b36eb12056b5a05c9bcc005fd7c33e3356a5c2683046ac248615634a1e","first_computed_at":"2026-07-05T02:26:43.133889Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:26:43.133889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZbJ0bPkOngrJdZ5RTNIby9yRqhr2S+BF1Zc1Ra4n2H7dTI5olYVWacKVgrw528Y1AAlc5Xmtdau2YOaHeoDyCg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:26:43.134291Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.14630","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9f16e9901fd3133bb620bf6f2383b95cacdbfac300a3ef49931f154cbc75b87","sha256:57469122a32e13ee99f7645bdf2c259d2bfc821fc4bb2ccec080ec231ab042a7"],"state_sha256":"e858d12b5b9b9a6652e17dc3e65eb5f7274a524aedc97468311a3e3359d32cf2"}