{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6OAZRSZ343K2OUTYPAX3RGS6UP","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":"463ca5f1ab170bd6640ce51c16a43e0aac5817d31a15cb30cc2e45857f31c529","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-04-21T07:37:29Z","title_canon_sha256":"0c68663735a84eb6d82eaae4be1384ef9aacc68d5e6173e53d8927f88b10742f"},"schema_version":"1.0","source":{"id":"1404.5130","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.5130","created_at":"2026-05-18T02:53:42Z"},{"alias_kind":"arxiv_version","alias_value":"1404.5130v1","created_at":"2026-05-18T02:53:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5130","created_at":"2026-05-18T02:53:42Z"},{"alias_kind":"pith_short_12","alias_value":"6OAZRSZ343K2","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6OAZRSZ343K2OUTY","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6OAZRSZ3","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:6442fc83036dba78c993931091ba25cb5acf2632365349f39b1ef7a8536f4ffd","target":"graph","created_at":"2026-05-18T02:53:42Z","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"},"paper":{"abstract_excerpt":"In this note we announce a result for vector fields on three-dimensional manifolds: those who are singular hyperbolic or exhibit a homoclinic tangency form a dense subset of the space of $C^1$-vector fields. This answers a conjecture by Palis. The argument uses an extension for local fibered flows of Ma\\~n\\'e and Pujals-Sambarino's theorems about the uniform contraction of one-dimensional dominated bundles.\n  Sur la densit\\'e de l'hyperbolicit\\'e singuli\\`ere pour les champs de vecteurs en dimension trois : une conjecture de Palis\n  Dans cette note, nous annon\\c{c}ons un r\\'esultat portant sur","authors_text":"Dawei Yang, Sylvain Crovisier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-04-21T07:37:29Z","title":"On the density of singular hyperbolic three-dimensional vector fields: a conjecture of Palis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5130","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:b377c8689fb1adf0a84be473b62fa08eac241752a5b85e65875ea34b258c135c","target":"record","created_at":"2026-05-18T02:53:42Z","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":"463ca5f1ab170bd6640ce51c16a43e0aac5817d31a15cb30cc2e45857f31c529","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-04-21T07:37:29Z","title_canon_sha256":"0c68663735a84eb6d82eaae4be1384ef9aacc68d5e6173e53d8927f88b10742f"},"schema_version":"1.0","source":{"id":"1404.5130","kind":"arxiv","version":1}},"canonical_sha256":"f38198cb3be6d5a75278782fb89a5ea3ef662d007446e8a90afa9f93b599e316","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f38198cb3be6d5a75278782fb89a5ea3ef662d007446e8a90afa9f93b599e316","first_computed_at":"2026-05-18T02:53:42.665518Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:42.665518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oOoF5Arch3qcguuqZbasmk/Y9P5nC75Z576QDw6qZ1UKO1mqwZz/6Ef6DJB0hz862VA7SbjccP32TJkm/g/2CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:42.666248Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.5130","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b377c8689fb1adf0a84be473b62fa08eac241752a5b85e65875ea34b258c135c","sha256:6442fc83036dba78c993931091ba25cb5acf2632365349f39b1ef7a8536f4ffd"],"state_sha256":"48881aa3ec90c7862afafa8c68f590965e9dbf11e17a20e6189f2f512b6f1870"}