{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:IBGWID3WSLQ7P3NXZ3YG6VED3W","short_pith_number":"pith:IBGWID3W","schema_version":"1.0","canonical_sha256":"404d640f7692e1f7edb7cef06f5483dda2eb21e92a5a2e982c34eba0b718bb1e","source":{"kind":"arxiv","id":"1804.03328","version":1},"attestation_state":"computed","paper":{"title":"On the abundance of SRB measures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Dawei Yang, Yongluo Cao, Zeya Mi","submitted_at":"2018-04-10T03:33:41Z","abstract_excerpt":"We prove the abundance of Sinai-Ruelle-Bowen measures for diffeomorphisms away from ones with a homoclinic tangency. This is motivated by conjectures of Palis on the existence of physical (Sinai-Ruelle-Bowen) measures for global dynamics. The main novelty in this paper is that we have to deeply study Gibbs $cu$-states in different levels. Note that we have to use random perturbations to give some upper bound of the level of Gibbs $cu$-states."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1804.03328","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-04-10T03:33:41Z","cross_cats_sorted":[],"title_canon_sha256":"bfd908d26fcaa7a95124e7855dcb86711666ebf7d88d2480b4ecdf683eabdcfd","abstract_canon_sha256":"adde83b0039ec8d80b9219e7181f9605adfa9371bbccf97e95851547dab93f02"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:56.365719Z","signature_b64":"DcSn5zr9xB74UlIAHDOAEMQCf9ngQ81WC9c95g+dxlb/mbAWtVGxCahtCIqv4ZV9IpFg6saqq896q4XqW3T6DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"404d640f7692e1f7edb7cef06f5483dda2eb21e92a5a2e982c34eba0b718bb1e","last_reissued_at":"2026-05-18T00:18:56.364295Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:56.364295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the abundance of SRB measures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Dawei Yang, Yongluo Cao, Zeya Mi","submitted_at":"2018-04-10T03:33:41Z","abstract_excerpt":"We prove the abundance of Sinai-Ruelle-Bowen measures for diffeomorphisms away from ones with a homoclinic tangency. This is motivated by conjectures of Palis on the existence of physical (Sinai-Ruelle-Bowen) measures for global dynamics. The main novelty in this paper is that we have to deeply study Gibbs $cu$-states in different levels. Note that we have to use random perturbations to give some upper bound of the level of Gibbs $cu$-states."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.03328","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1804.03328","created_at":"2026-05-18T00:18:56.365299+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.03328v1","created_at":"2026-05-18T00:18:56.365299+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.03328","created_at":"2026-05-18T00:18:56.365299+00:00"},{"alias_kind":"pith_short_12","alias_value":"IBGWID3WSLQ7","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_16","alias_value":"IBGWID3WSLQ7P3NX","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_8","alias_value":"IBGWID3W","created_at":"2026-05-18T12:32:28.185984+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IBGWID3WSLQ7P3NXZ3YG6VED3W","json":"https://pith.science/pith/IBGWID3WSLQ7P3NXZ3YG6VED3W.json","graph_json":"https://pith.science/api/pith-number/IBGWID3WSLQ7P3NXZ3YG6VED3W/graph.json","events_json":"https://pith.science/api/pith-number/IBGWID3WSLQ7P3NXZ3YG6VED3W/events.json","paper":"https://pith.science/paper/IBGWID3W"},"agent_actions":{"view_html":"https://pith.science/pith/IBGWID3WSLQ7P3NXZ3YG6VED3W","download_json":"https://pith.science/pith/IBGWID3WSLQ7P3NXZ3YG6VED3W.json","view_paper":"https://pith.science/paper/IBGWID3W","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.03328&json=true","fetch_graph":"https://pith.science/api/pith-number/IBGWID3WSLQ7P3NXZ3YG6VED3W/graph.json","fetch_events":"https://pith.science/api/pith-number/IBGWID3WSLQ7P3NXZ3YG6VED3W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IBGWID3WSLQ7P3NXZ3YG6VED3W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IBGWID3WSLQ7P3NXZ3YG6VED3W/action/storage_attestation","attest_author":"https://pith.science/pith/IBGWID3WSLQ7P3NXZ3YG6VED3W/action/author_attestation","sign_citation":"https://pith.science/pith/IBGWID3WSLQ7P3NXZ3YG6VED3W/action/citation_signature","submit_replication":"https://pith.science/pith/IBGWID3WSLQ7P3NXZ3YG6VED3W/action/replication_record"}},"created_at":"2026-05-18T00:18:56.365299+00:00","updated_at":"2026-05-18T00:18:56.365299+00:00"}