{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QXKGYCZR2FENSOHEUZU7N7ETSX","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":"997ba1fc4f6b4e509362d6f5f09ca6cdbce6047d4655c93531260e21265b27ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-04-05T09:36:36Z","title_canon_sha256":"d652d9be1e3d3d74043fe27d2d24ffd7a99dd1e51ebf2eddaa4d1022e953cc1a"},"schema_version":"1.0","source":{"id":"1204.1161","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1161","created_at":"2026-05-18T03:28:06Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1161v1","created_at":"2026-05-18T03:28:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1161","created_at":"2026-05-18T03:28:06Z"},{"alias_kind":"pith_short_12","alias_value":"QXKGYCZR2FEN","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"QXKGYCZR2FENSOHE","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"QXKGYCZR","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:f4ff988203fe52ba783d3f7aff9d4026a38ba61de841625af91961a78e038be8","target":"graph","created_at":"2026-05-18T03:28:06Z","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 a Hamiltonian star system, defined on a 2d-dimensional symplectic manifold M, is Anosov. As a consequence we obtain the proof of the stability conjecture for Hamiltonians. This generalizes the 4-dimensional results in [6].","authors_text":"J. Rocha, M. Bessa, M. J. Torres","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-04-05T09:36:36Z","title":"Hyperbolicity and Stability for Hamiltonian flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1161","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":"sha256:5e30d9484038ff183aae1c17ba8f5d0b8322ace292927d3ec212ce38ed9599e6","target":"record","created_at":"2026-05-18T03:28:06Z","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":"997ba1fc4f6b4e509362d6f5f09ca6cdbce6047d4655c93531260e21265b27ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-04-05T09:36:36Z","title_canon_sha256":"d652d9be1e3d3d74043fe27d2d24ffd7a99dd1e51ebf2eddaa4d1022e953cc1a"},"schema_version":"1.0","source":{"id":"1204.1161","kind":"arxiv","version":1}},"canonical_sha256":"85d46c0b31d148d938e4a669f6fc9395c15ac3bc6ba60470563e7ac100997f53","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85d46c0b31d148d938e4a669f6fc9395c15ac3bc6ba60470563e7ac100997f53","first_computed_at":"2026-05-18T03:28:06.220561Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:28:06.220561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"67fEYYYRLYh5PqipHPgz1ZvebL/pRp03KflOv2Nxu9Z+NAY8MRQrjSjBSMqHTVkcX36dnFeU9KbCEc4sHMtMBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:28:06.221247Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.1161","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e30d9484038ff183aae1c17ba8f5d0b8322ace292927d3ec212ce38ed9599e6","sha256:f4ff988203fe52ba783d3f7aff9d4026a38ba61de841625af91961a78e038be8"],"state_sha256":"9c07acb96ce5036e6696dd5e7a9cbcd28cc2de64a0a06813872bafab964740d2"}