{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:65KUH43CPOKFXQU4VOBUFWFNA7","short_pith_number":"pith:65KUH43C","schema_version":"1.0","canonical_sha256":"f75543f3627b945bc29cab8342d8ad07d0fe8aa1386e0e895d59f4696be8b699","source":{"kind":"arxiv","id":"1606.09142","version":2},"attestation_state":"computed","paper":{"title":"Hitting times distribution and extreme value law for flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Fan Yang, Maria Jose Pacifico","submitted_at":"2016-06-29T15:04:58Z","abstract_excerpt":"For flows whose return map on a cross section has sufficient mixing property, we show that the hitting time distribution of the flow to balls is exponential in limit. We also establish a link between the extreme value distribution of the flow and its hitting time distribution, generalizing a previous work by Freitas et al. in the discrete time case. Finally we show that for maps that can be modeled by Young`s tower with polynomial tail, the extreme value law holds."},"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":"1606.09142","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-06-29T15:04:58Z","cross_cats_sorted":[],"title_canon_sha256":"4399881926c9366a117d6fef673f631eb89f8df78ea2b8a929e5022ac050c9f8","abstract_canon_sha256":"05efc307f33d43513d232de834673f3257080410985a86b517e120eb019f2fea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:03.897365Z","signature_b64":"ZS7ry60PQm9cs6+wAUN+A78tooZSs3ROughHF3qPBPsc6eo9igvh5o8pmJDlmiUUGVa+h44uwz1YhlnbHEmZBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f75543f3627b945bc29cab8342d8ad07d0fe8aa1386e0e895d59f4696be8b699","last_reissued_at":"2026-05-18T01:04:03.896751Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:03.896751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hitting times distribution and extreme value law for flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Fan Yang, Maria Jose Pacifico","submitted_at":"2016-06-29T15:04:58Z","abstract_excerpt":"For flows whose return map on a cross section has sufficient mixing property, we show that the hitting time distribution of the flow to balls is exponential in limit. We also establish a link between the extreme value distribution of the flow and its hitting time distribution, generalizing a previous work by Freitas et al. in the discrete time case. Finally we show that for maps that can be modeled by Young`s tower with polynomial tail, the extreme value law holds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09142","kind":"arxiv","version":2},"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":"1606.09142","created_at":"2026-05-18T01:04:03.896839+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.09142v2","created_at":"2026-05-18T01:04:03.896839+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09142","created_at":"2026-05-18T01:04:03.896839+00:00"},{"alias_kind":"pith_short_12","alias_value":"65KUH43CPOKF","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_16","alias_value":"65KUH43CPOKFXQU4","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_8","alias_value":"65KUH43C","created_at":"2026-05-18T12:30:01.593930+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/65KUH43CPOKFXQU4VOBUFWFNA7","json":"https://pith.science/pith/65KUH43CPOKFXQU4VOBUFWFNA7.json","graph_json":"https://pith.science/api/pith-number/65KUH43CPOKFXQU4VOBUFWFNA7/graph.json","events_json":"https://pith.science/api/pith-number/65KUH43CPOKFXQU4VOBUFWFNA7/events.json","paper":"https://pith.science/paper/65KUH43C"},"agent_actions":{"view_html":"https://pith.science/pith/65KUH43CPOKFXQU4VOBUFWFNA7","download_json":"https://pith.science/pith/65KUH43CPOKFXQU4VOBUFWFNA7.json","view_paper":"https://pith.science/paper/65KUH43C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.09142&json=true","fetch_graph":"https://pith.science/api/pith-number/65KUH43CPOKFXQU4VOBUFWFNA7/graph.json","fetch_events":"https://pith.science/api/pith-number/65KUH43CPOKFXQU4VOBUFWFNA7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/65KUH43CPOKFXQU4VOBUFWFNA7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/65KUH43CPOKFXQU4VOBUFWFNA7/action/storage_attestation","attest_author":"https://pith.science/pith/65KUH43CPOKFXQU4VOBUFWFNA7/action/author_attestation","sign_citation":"https://pith.science/pith/65KUH43CPOKFXQU4VOBUFWFNA7/action/citation_signature","submit_replication":"https://pith.science/pith/65KUH43CPOKFXQU4VOBUFWFNA7/action/replication_record"}},"created_at":"2026-05-18T01:04:03.896839+00:00","updated_at":"2026-05-18T01:04:03.896839+00:00"}