{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:3AB2PQJXW3WFOCHSU7MCKWK53F","short_pith_number":"pith:3AB2PQJX","schema_version":"1.0","canonical_sha256":"d803a7c137b6ec5708f2a7d825595dd97941492d2f6ffbe5887ad83b27d3a0be","source":{"kind":"arxiv","id":"2510.04350","version":3},"attestation_state":"computed","paper":{"title":"Quasi-geodesics in the Cannon-Thurston metric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.GR"],"primary_cat":"math.GT","authors_text":"Caglar Uyanik, Catherine Pfaff, Joseph Maher, Vaibhav Gadre","submitted_at":"2025-10-05T20:18:48Z","abstract_excerpt":"A closed fibered 3-manifold admits a complete hyperbolic metric if and only if it has a fibration with a pseudo-Anosov monodromy. The stable and the unstable laminations associated to the pseudo-Anosov homeomorphism on the fiber surface give rise to a natural metric on the 3-manifold, the Cannon-Thurston metric, which is quasi-isometric to the hyperbolic metric.\n  In this paper, we describe a specific family of quasi-geodesics in the Cannon-Thurston metric. We use the main results of this article in a companion paper to obtain statistics for typical geodesics with respect to various natural me"},"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":"2510.04350","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-10-05T20:18:48Z","cross_cats_sorted":["math.DS","math.GR"],"title_canon_sha256":"2fe4d97e4bb2274679597dfbcc2a971aed567a2be6bfce7af48b170651f2789f","abstract_canon_sha256":"4ebf2bc7b95a8302dff976f4a2d8a24b795bf0234a00ee4f948fbc218f266a76"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-07T02:18:28.836458Z","signature_b64":"SlVa9M6uM50ZOt5+BdT+RulLd1/fk+nZl+A7xPltdHZznD7fnWQs912VnOM/l/4vasO3fLaNUSRjZNXFo2q3BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d803a7c137b6ec5708f2a7d825595dd97941492d2f6ffbe5887ad83b27d3a0be","last_reissued_at":"2026-07-07T02:18:28.835412Z","signature_status":"signed_v1","first_computed_at":"2026-07-07T02:18:28.835412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quasi-geodesics in the Cannon-Thurston metric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.GR"],"primary_cat":"math.GT","authors_text":"Caglar Uyanik, Catherine Pfaff, Joseph Maher, Vaibhav Gadre","submitted_at":"2025-10-05T20:18:48Z","abstract_excerpt":"A closed fibered 3-manifold admits a complete hyperbolic metric if and only if it has a fibration with a pseudo-Anosov monodromy. The stable and the unstable laminations associated to the pseudo-Anosov homeomorphism on the fiber surface give rise to a natural metric on the 3-manifold, the Cannon-Thurston metric, which is quasi-isometric to the hyperbolic metric.\n  In this paper, we describe a specific family of quasi-geodesics in the Cannon-Thurston metric. We use the main results of this article in a companion paper to obtain statistics for typical geodesics with respect to various natural me"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.04350","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2510.04350/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2510.04350","created_at":"2026-07-07T02:18:28.835569+00:00"},{"alias_kind":"arxiv_version","alias_value":"2510.04350v3","created_at":"2026-07-07T02:18:28.835569+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.04350","created_at":"2026-07-07T02:18:28.835569+00:00"},{"alias_kind":"pith_short_12","alias_value":"3AB2PQJXW3WF","created_at":"2026-07-07T02:18:28.835569+00:00"},{"alias_kind":"pith_short_16","alias_value":"3AB2PQJXW3WFOCHS","created_at":"2026-07-07T02:18:28.835569+00:00"},{"alias_kind":"pith_short_8","alias_value":"3AB2PQJX","created_at":"2026-07-07T02:18:28.835569+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/3AB2PQJXW3WFOCHSU7MCKWK53F","json":"https://pith.science/pith/3AB2PQJXW3WFOCHSU7MCKWK53F.json","graph_json":"https://pith.science/api/pith-number/3AB2PQJXW3WFOCHSU7MCKWK53F/graph.json","events_json":"https://pith.science/api/pith-number/3AB2PQJXW3WFOCHSU7MCKWK53F/events.json","paper":"https://pith.science/paper/3AB2PQJX"},"agent_actions":{"view_html":"https://pith.science/pith/3AB2PQJXW3WFOCHSU7MCKWK53F","download_json":"https://pith.science/pith/3AB2PQJXW3WFOCHSU7MCKWK53F.json","view_paper":"https://pith.science/paper/3AB2PQJX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2510.04350&json=true","fetch_graph":"https://pith.science/api/pith-number/3AB2PQJXW3WFOCHSU7MCKWK53F/graph.json","fetch_events":"https://pith.science/api/pith-number/3AB2PQJXW3WFOCHSU7MCKWK53F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3AB2PQJXW3WFOCHSU7MCKWK53F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3AB2PQJXW3WFOCHSU7MCKWK53F/action/storage_attestation","attest_author":"https://pith.science/pith/3AB2PQJXW3WFOCHSU7MCKWK53F/action/author_attestation","sign_citation":"https://pith.science/pith/3AB2PQJXW3WFOCHSU7MCKWK53F/action/citation_signature","submit_replication":"https://pith.science/pith/3AB2PQJXW3WFOCHSU7MCKWK53F/action/replication_record"}},"created_at":"2026-07-07T02:18:28.835569+00:00","updated_at":"2026-07-07T02:18:28.835569+00:00"}