{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:GMLNL7NX4Z6LGTYMKRUIIWSX5H","short_pith_number":"pith:GMLNL7NX","schema_version":"1.0","canonical_sha256":"3316d5fdb7e67cb34f0c5468845a57e9ecf8e82ff0045b74da216e359487657c","source":{"kind":"arxiv","id":"math/0111119","version":1},"attestation_state":"computed","paper":{"title":"Leafwise smoothing laminations","license":"","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Danny Calegari","submitted_at":"2001-11-09T20:21:37Z","abstract_excerpt":"We show that every topological surface lamination of a 3-manifold M is isotopic to one with smoothly immersed leaves. This carries out a project proposed by Gabai in [Problems in foliations and laminations, AMS/IP Stud. Adv. Math. 2.2 1--33]. Consequently any such lamination admits the structure of a Riemann surface lamination, and therefore useful structure theorems of Candel [Uniformization of surface laminations, Ann. Sci. Ecole Norm. Sup. 26 (1993) 489--516] and Ghys [Dynamique et geometrie complexes, Panoramas et Syntheses 8 (1999)] apply."},"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/0111119","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"2001-11-09T20:21:37Z","cross_cats_sorted":[],"title_canon_sha256":"6db09402dd27b3e4d26bfcd3b6f6cc1be1108d44c9d3bdece4d826992910d2b6","abstract_canon_sha256":"c2d60a14445752719b0c74566513767ad07f4f5d41152988b2a741cdcda5bf96"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:33.186778Z","signature_b64":"ZACKKMceKVZZ4qIyQjDOEeQ9RZawlpQu+5hnkF5inUIViNTbA8WEw2elc8yYfkhS64QGGqzan8gxs5DD+l2QCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3316d5fdb7e67cb34f0c5468845a57e9ecf8e82ff0045b74da216e359487657c","last_reissued_at":"2026-05-18T02:41:33.186363Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:33.186363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Leafwise smoothing laminations","license":"","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Danny Calegari","submitted_at":"2001-11-09T20:21:37Z","abstract_excerpt":"We show that every topological surface lamination of a 3-manifold M is isotopic to one with smoothly immersed leaves. This carries out a project proposed by Gabai in [Problems in foliations and laminations, AMS/IP Stud. Adv. Math. 2.2 1--33]. Consequently any such lamination admits the structure of a Riemann surface lamination, and therefore useful structure theorems of Candel [Uniformization of surface laminations, Ann. Sci. Ecole Norm. Sup. 26 (1993) 489--516] and Ghys [Dynamique et geometrie complexes, Panoramas et Syntheses 8 (1999)] apply."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0111119","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":"math/0111119","created_at":"2026-05-18T02:41:33.186422+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0111119v1","created_at":"2026-05-18T02:41:33.186422+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0111119","created_at":"2026-05-18T02:41:33.186422+00:00"},{"alias_kind":"pith_short_12","alias_value":"GMLNL7NX4Z6L","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_16","alias_value":"GMLNL7NX4Z6LGTYM","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_8","alias_value":"GMLNL7NX","created_at":"2026-05-18T12:25:50.254431+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/GMLNL7NX4Z6LGTYMKRUIIWSX5H","json":"https://pith.science/pith/GMLNL7NX4Z6LGTYMKRUIIWSX5H.json","graph_json":"https://pith.science/api/pith-number/GMLNL7NX4Z6LGTYMKRUIIWSX5H/graph.json","events_json":"https://pith.science/api/pith-number/GMLNL7NX4Z6LGTYMKRUIIWSX5H/events.json","paper":"https://pith.science/paper/GMLNL7NX"},"agent_actions":{"view_html":"https://pith.science/pith/GMLNL7NX4Z6LGTYMKRUIIWSX5H","download_json":"https://pith.science/pith/GMLNL7NX4Z6LGTYMKRUIIWSX5H.json","view_paper":"https://pith.science/paper/GMLNL7NX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0111119&json=true","fetch_graph":"https://pith.science/api/pith-number/GMLNL7NX4Z6LGTYMKRUIIWSX5H/graph.json","fetch_events":"https://pith.science/api/pith-number/GMLNL7NX4Z6LGTYMKRUIIWSX5H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GMLNL7NX4Z6LGTYMKRUIIWSX5H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GMLNL7NX4Z6LGTYMKRUIIWSX5H/action/storage_attestation","attest_author":"https://pith.science/pith/GMLNL7NX4Z6LGTYMKRUIIWSX5H/action/author_attestation","sign_citation":"https://pith.science/pith/GMLNL7NX4Z6LGTYMKRUIIWSX5H/action/citation_signature","submit_replication":"https://pith.science/pith/GMLNL7NX4Z6LGTYMKRUIIWSX5H/action/replication_record"}},"created_at":"2026-05-18T02:41:33.186422+00:00","updated_at":"2026-05-18T02:41:33.186422+00:00"}