{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:5EXCDQ2NM4ZFKWC5S6O2LKMKNW","short_pith_number":"pith:5EXCDQ2N","schema_version":"1.0","canonical_sha256":"e92e21c34d673255585d979da5a98a6d9d1bd77534cc598e7e6edd07a23d00d9","source":{"kind":"arxiv","id":"1410.8640","version":1},"attestation_state":"computed","paper":{"title":"Entry times distribution for dynamical balls on metric spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Fan Yang, Nicolai Haydn","submitted_at":"2014-10-31T04:47:24Z","abstract_excerpt":"We show that the entry and return times for dynamic balls (Bowen balls) is exponential for systems that have an $\\alpha$-mixing invariant measure with certain regularities. We also show that systems modeled by Young's tower has exponential hitting time distribution for dynamical balls"},"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":"1410.8640","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-10-31T04:47:24Z","cross_cats_sorted":[],"title_canon_sha256":"3dfa4427eb10cdf99c617924c36498c5006ab724986bb3d88823ce4c7e0b3cab","abstract_canon_sha256":"e1e0b27fade39107246b8981fc2fe9575f957d261dbba864e765acedd639dc29"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:54.039978Z","signature_b64":"tEj2I2ZdZVhmT2s0ZA6ph89t/NdjdBw+KWJ8gAgyL9IwzPbw4bWDod5+CrXZAYnFPqqMLtKZc3318EYTc+wPCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e92e21c34d673255585d979da5a98a6d9d1bd77534cc598e7e6edd07a23d00d9","last_reissued_at":"2026-05-18T02:38:54.039597Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:54.039597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entry times distribution for dynamical balls on metric spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Fan Yang, Nicolai Haydn","submitted_at":"2014-10-31T04:47:24Z","abstract_excerpt":"We show that the entry and return times for dynamic balls (Bowen balls) is exponential for systems that have an $\\alpha$-mixing invariant measure with certain regularities. We also show that systems modeled by Young's tower has exponential hitting time distribution for dynamical balls"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.8640","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":"1410.8640","created_at":"2026-05-18T02:38:54.039656+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.8640v1","created_at":"2026-05-18T02:38:54.039656+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.8640","created_at":"2026-05-18T02:38:54.039656+00:00"},{"alias_kind":"pith_short_12","alias_value":"5EXCDQ2NM4ZF","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"5EXCDQ2NM4ZFKWC5","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"5EXCDQ2N","created_at":"2026-05-18T12:28:14.216126+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/5EXCDQ2NM4ZFKWC5S6O2LKMKNW","json":"https://pith.science/pith/5EXCDQ2NM4ZFKWC5S6O2LKMKNW.json","graph_json":"https://pith.science/api/pith-number/5EXCDQ2NM4ZFKWC5S6O2LKMKNW/graph.json","events_json":"https://pith.science/api/pith-number/5EXCDQ2NM4ZFKWC5S6O2LKMKNW/events.json","paper":"https://pith.science/paper/5EXCDQ2N"},"agent_actions":{"view_html":"https://pith.science/pith/5EXCDQ2NM4ZFKWC5S6O2LKMKNW","download_json":"https://pith.science/pith/5EXCDQ2NM4ZFKWC5S6O2LKMKNW.json","view_paper":"https://pith.science/paper/5EXCDQ2N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.8640&json=true","fetch_graph":"https://pith.science/api/pith-number/5EXCDQ2NM4ZFKWC5S6O2LKMKNW/graph.json","fetch_events":"https://pith.science/api/pith-number/5EXCDQ2NM4ZFKWC5S6O2LKMKNW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5EXCDQ2NM4ZFKWC5S6O2LKMKNW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5EXCDQ2NM4ZFKWC5S6O2LKMKNW/action/storage_attestation","attest_author":"https://pith.science/pith/5EXCDQ2NM4ZFKWC5S6O2LKMKNW/action/author_attestation","sign_citation":"https://pith.science/pith/5EXCDQ2NM4ZFKWC5S6O2LKMKNW/action/citation_signature","submit_replication":"https://pith.science/pith/5EXCDQ2NM4ZFKWC5S6O2LKMKNW/action/replication_record"}},"created_at":"2026-05-18T02:38:54.039656+00:00","updated_at":"2026-05-18T02:38:54.039656+00:00"}