{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CJV7VYWZOD6XW34HRAUULFVS4R","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":"0ce88aa3f3850eb4eb498f6a255e7df8ab4809f777a4fed3cdd52dd92cce2c76","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-01-29T07:58:21Z","title_canon_sha256":"2362bf53fc6f00174d98e1ff755cdade83d9d1d85464a9b842b95076a64a2779"},"schema_version":"1.0","source":{"id":"1301.6855","kind":"arxiv","version":9}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.6855","created_at":"2026-05-18T00:50:58Z"},{"alias_kind":"arxiv_version","alias_value":"1301.6855v9","created_at":"2026-05-18T00:50:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.6855","created_at":"2026-05-18T00:50:58Z"},{"alias_kind":"pith_short_12","alias_value":"CJV7VYWZOD6X","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CJV7VYWZOD6XW34H","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CJV7VYWZ","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:7dd35d61a2540ebe27c59d10efb0d7d6a457a50b0224902cf9ffcbf133928e1d","target":"graph","created_at":"2026-05-18T00:50:58Z","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 exponential decay of correlations for H\\\"older continuous observables with respect to any Gibbs measure for contact Anosov flows admitting Pesin sets with exponentially small tails. This is achieved by establishing strong spectral estimates for certain Ruelle transfer operators for such flows.","authors_text":"Luchezar Stoyanov","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-01-29T07:58:21Z","title":"Ruelle transfer operators for contact Anosov flows and decay of correlations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6855","kind":"arxiv","version":9},"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":"sha256:59816962258ce973ead338dac605a9725696090677795cd5df4470f70bf1fe2c","target":"record","created_at":"2026-05-18T00:50:58Z","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":"0ce88aa3f3850eb4eb498f6a255e7df8ab4809f777a4fed3cdd52dd92cce2c76","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-01-29T07:58:21Z","title_canon_sha256":"2362bf53fc6f00174d98e1ff755cdade83d9d1d85464a9b842b95076a64a2779"},"schema_version":"1.0","source":{"id":"1301.6855","kind":"arxiv","version":9}},"canonical_sha256":"126bfae2d970fd7b6f8788294596b2e446eda1070967b67963857d4e6e51ae7e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"126bfae2d970fd7b6f8788294596b2e446eda1070967b67963857d4e6e51ae7e","first_computed_at":"2026-05-18T00:50:58.175643Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:58.175643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aDjNpar1o+ywGVE3R+LZmZQZuTI2y7gojFw3NjJtqL7mpwnt9Icbjqz9rAw5XcRylHrfBd9Ii9+i3JXFbR2OBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:58.176256Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.6855","source_kind":"arxiv","source_version":9}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59816962258ce973ead338dac605a9725696090677795cd5df4470f70bf1fe2c","sha256:7dd35d61a2540ebe27c59d10efb0d7d6a457a50b0224902cf9ffcbf133928e1d"],"state_sha256":"40c9ef0a332cad2236ac6169a6b1c12d6ef604a2cf6636db1376cfe1c163a05d"}