{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:S6SEUX3JVEOLZXL7OIAFBFO7XC","short_pith_number":"pith:S6SEUX3J","schema_version":"1.0","canonical_sha256":"97a44a5f69a91cbcdd7f72005095dfb88254902881b701a25130f73b181096c3","source":{"kind":"arxiv","id":"1101.0486","version":2},"attestation_state":"computed","paper":{"title":"Shrinking targets in fast mixing flows and the geodesic flow on negatively curved manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Isaia Nisoli, Stefano Galatolo","submitted_at":"2011-01-03T10:49:33Z","abstract_excerpt":"We show that in a rapidly mixing flow with an invariant measure, the time which is needed to hit a given section is related to a sort of conditional dimension of the measure at the section. The result is applied to the geodesic flow of compact variable negative sectional curvature manifolds, establishing a logarithm law for such kind of flow."},"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":"1101.0486","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-01-03T10:49:33Z","cross_cats_sorted":[],"title_canon_sha256":"b974dca205d5908600e199c117490a9eae783721f83d907b9dd3f6b348041e0d","abstract_canon_sha256":"4d30434ae34a42793ffb58c321d31d677132814aa98ec55529d06c78a25c520b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:47.119673Z","signature_b64":"0lIP4ONX70Kk0FZ0ZKx3a/Qxfb5BEM460yHkZAM0h5vuwk0sh7womT35L3tijeVSKOF2zRtyJ8ZzYd6XyEAwBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97a44a5f69a91cbcdd7f72005095dfb88254902881b701a25130f73b181096c3","last_reissued_at":"2026-05-18T04:10:47.119208Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:47.119208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Shrinking targets in fast mixing flows and the geodesic flow on negatively curved manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Isaia Nisoli, Stefano Galatolo","submitted_at":"2011-01-03T10:49:33Z","abstract_excerpt":"We show that in a rapidly mixing flow with an invariant measure, the time which is needed to hit a given section is related to a sort of conditional dimension of the measure at the section. The result is applied to the geodesic flow of compact variable negative sectional curvature manifolds, establishing a logarithm law for such kind of flow."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.0486","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":"1101.0486","created_at":"2026-05-18T04:10:47.119280+00:00"},{"alias_kind":"arxiv_version","alias_value":"1101.0486v2","created_at":"2026-05-18T04:10:47.119280+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.0486","created_at":"2026-05-18T04:10:47.119280+00:00"},{"alias_kind":"pith_short_12","alias_value":"S6SEUX3JVEOL","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"S6SEUX3JVEOLZXL7","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"S6SEUX3J","created_at":"2026-05-18T12:26:41.206345+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/S6SEUX3JVEOLZXL7OIAFBFO7XC","json":"https://pith.science/pith/S6SEUX3JVEOLZXL7OIAFBFO7XC.json","graph_json":"https://pith.science/api/pith-number/S6SEUX3JVEOLZXL7OIAFBFO7XC/graph.json","events_json":"https://pith.science/api/pith-number/S6SEUX3JVEOLZXL7OIAFBFO7XC/events.json","paper":"https://pith.science/paper/S6SEUX3J"},"agent_actions":{"view_html":"https://pith.science/pith/S6SEUX3JVEOLZXL7OIAFBFO7XC","download_json":"https://pith.science/pith/S6SEUX3JVEOLZXL7OIAFBFO7XC.json","view_paper":"https://pith.science/paper/S6SEUX3J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1101.0486&json=true","fetch_graph":"https://pith.science/api/pith-number/S6SEUX3JVEOLZXL7OIAFBFO7XC/graph.json","fetch_events":"https://pith.science/api/pith-number/S6SEUX3JVEOLZXL7OIAFBFO7XC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S6SEUX3JVEOLZXL7OIAFBFO7XC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S6SEUX3JVEOLZXL7OIAFBFO7XC/action/storage_attestation","attest_author":"https://pith.science/pith/S6SEUX3JVEOLZXL7OIAFBFO7XC/action/author_attestation","sign_citation":"https://pith.science/pith/S6SEUX3JVEOLZXL7OIAFBFO7XC/action/citation_signature","submit_replication":"https://pith.science/pith/S6SEUX3JVEOLZXL7OIAFBFO7XC/action/replication_record"}},"created_at":"2026-05-18T04:10:47.119280+00:00","updated_at":"2026-05-18T04:10:47.119280+00:00"}