{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:UPBRWSRBWLAHMLWVAKP7GW4QW6","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":"f103ffb880b82eed613169bf298b82107a7577415c5e102a1308da34588d1e98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-11-17T20:46:45Z","title_canon_sha256":"f2d8768beba451d573a521e9ec9006584b70aa6655e21cf2bf0bbe2a4fd7b255"},"schema_version":"1.0","source":{"id":"1111.4206","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4206","created_at":"2026-05-18T01:04:41Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4206v2","created_at":"2026-05-18T01:04:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4206","created_at":"2026-05-18T01:04:41Z"},{"alias_kind":"pith_short_12","alias_value":"UPBRWSRBWLAH","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UPBRWSRBWLAHMLWV","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UPBRWSRB","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:d6edfd512c3dfb419f5098ec627988543d09ae446f1060e903fbc33ac173f87f","target":"graph","created_at":"2026-05-18T01:04:41Z","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":"We prove that, on connected compact manifolds, both C1-generic conservative diffeomorphisms and C1-generic transitive diffeomorphisms are topologically mixing. This is obtained through a description of the periods of a homoclinic class and by a control of the period of the periodic points given by the closing lemma.","authors_text":"Flavio Abdenur, Sylvain Crovisier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-11-17T20:46:45Z","title":"Transitivity and topological mixing for C1 diffeomorphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4206","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:f171f47bf38aceb478b0e06a4ccbeb37ab579c6145cd2f52951708b52b4acef7","target":"record","created_at":"2026-05-18T01:04:41Z","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":"f103ffb880b82eed613169bf298b82107a7577415c5e102a1308da34588d1e98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-11-17T20:46:45Z","title_canon_sha256":"f2d8768beba451d573a521e9ec9006584b70aa6655e21cf2bf0bbe2a4fd7b255"},"schema_version":"1.0","source":{"id":"1111.4206","kind":"arxiv","version":2}},"canonical_sha256":"a3c31b4a21b2c0762ed5029ff35b90b789b2b739053dba795bfa17b24050686a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3c31b4a21b2c0762ed5029ff35b90b789b2b739053dba795bfa17b24050686a","first_computed_at":"2026-05-18T01:04:41.989513Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:41.989513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zkWHxZdsUCQ9abujQP+oeKWGs8DjEA5URiKN3wZtppnPL8qemPurcICFWrUMapjztbp1f7uyEh8BoCFkS0VrBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:41.990039Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.4206","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f171f47bf38aceb478b0e06a4ccbeb37ab579c6145cd2f52951708b52b4acef7","sha256:d6edfd512c3dfb419f5098ec627988543d09ae446f1060e903fbc33ac173f87f"],"state_sha256":"2ddd5e90218360d354a934862c613c776d6bf898871c289f0dee53e030dd40ae"}