{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:QXHQLTBHKCTOKJHALKGB5CGJTJ","short_pith_number":"pith:QXHQLTBH","schema_version":"1.0","canonical_sha256":"85cf05cc2750a6e524e05a8c1e88c99a4d0b5591a6b75131696daf38e8d9a242","source":{"kind":"arxiv","id":"math/0107035","version":3},"attestation_state":"computed","paper":{"title":"Stable Teichmueller quasigeodesics and ending laminations","license":"","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Lee Mosher","submitted_at":"2001-07-05T00:10:18Z","abstract_excerpt":"We characterize which cobounded quasigeodesics in the Teichmueller space T of a closed surface are at bounded distance from a geodesic. More generally, given a cobounded lipschitz path gamma in T, we show that gamma is a quasigeodesic with finite Hausdorff distance from some geodesic if and only if the canonical hyperbolic plane bundle over gamma is a hyperbolic metric space. As an application, for complete hyperbolic 3-manifolds N with finitely generated, freely indecomposable fundamental group and with bounded geometry, we give a new construction of model geometries for the geometrically inf"},"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":"math/0107035","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"2001-07-05T00:10:18Z","cross_cats_sorted":[],"title_canon_sha256":"1f90dc24ac14d7af5cf0b670968e4b1d25fc4e4f488babef13c47163a9f65667","abstract_canon_sha256":"f340a48cf8871182f2bb22fb1521d2a81a76c6c882108feb74729488219d1526"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:00.771020Z","signature_b64":"pjqVZs7pl5deqOPxPaV0FkShGeIuAbQUkTZD33wDtAHXg6FJG8PrzB+vQ/wOkP/mJ5px0TE+q0LwNLWotdC9BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85cf05cc2750a6e524e05a8c1e88c99a4d0b5591a6b75131696daf38e8d9a242","last_reissued_at":"2026-05-18T02:38:00.770453Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:00.770453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stable Teichmueller quasigeodesics and ending laminations","license":"","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Lee Mosher","submitted_at":"2001-07-05T00:10:18Z","abstract_excerpt":"We characterize which cobounded quasigeodesics in the Teichmueller space T of a closed surface are at bounded distance from a geodesic. More generally, given a cobounded lipschitz path gamma in T, we show that gamma is a quasigeodesic with finite Hausdorff distance from some geodesic if and only if the canonical hyperbolic plane bundle over gamma is a hyperbolic metric space. As an application, for complete hyperbolic 3-manifolds N with finitely generated, freely indecomposable fundamental group and with bounded geometry, we give a new construction of model geometries for the geometrically inf"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0107035","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":""},"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":"math/0107035","created_at":"2026-05-18T02:38:00.770545+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0107035v3","created_at":"2026-05-18T02:38:00.770545+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0107035","created_at":"2026-05-18T02:38:00.770545+00:00"},{"alias_kind":"pith_short_12","alias_value":"QXHQLTBHKCTO","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"QXHQLTBHKCTOKJHA","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"QXHQLTBH","created_at":"2026-05-18T12:25:50.845339+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/QXHQLTBHKCTOKJHALKGB5CGJTJ","json":"https://pith.science/pith/QXHQLTBHKCTOKJHALKGB5CGJTJ.json","graph_json":"https://pith.science/api/pith-number/QXHQLTBHKCTOKJHALKGB5CGJTJ/graph.json","events_json":"https://pith.science/api/pith-number/QXHQLTBHKCTOKJHALKGB5CGJTJ/events.json","paper":"https://pith.science/paper/QXHQLTBH"},"agent_actions":{"view_html":"https://pith.science/pith/QXHQLTBHKCTOKJHALKGB5CGJTJ","download_json":"https://pith.science/pith/QXHQLTBHKCTOKJHALKGB5CGJTJ.json","view_paper":"https://pith.science/paper/QXHQLTBH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0107035&json=true","fetch_graph":"https://pith.science/api/pith-number/QXHQLTBHKCTOKJHALKGB5CGJTJ/graph.json","fetch_events":"https://pith.science/api/pith-number/QXHQLTBHKCTOKJHALKGB5CGJTJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QXHQLTBHKCTOKJHALKGB5CGJTJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QXHQLTBHKCTOKJHALKGB5CGJTJ/action/storage_attestation","attest_author":"https://pith.science/pith/QXHQLTBHKCTOKJHALKGB5CGJTJ/action/author_attestation","sign_citation":"https://pith.science/pith/QXHQLTBHKCTOKJHALKGB5CGJTJ/action/citation_signature","submit_replication":"https://pith.science/pith/QXHQLTBHKCTOKJHALKGB5CGJTJ/action/replication_record"}},"created_at":"2026-05-18T02:38:00.770545+00:00","updated_at":"2026-05-18T02:38:00.770545+00:00"}