{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:GMLNL7NX4Z6LGTYMKRUIIWSX5H","short_pith_number":"pith:GMLNL7NX","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"},"canonical_sha256":"3316d5fdb7e67cb34f0c5468845a57e9ecf8e82ff0045b74da216e359487657c","source":{"kind":"arxiv","id":"math/0111119","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0111119","created_at":"2026-05-18T02:41:33Z"},{"alias_kind":"arxiv_version","alias_value":"math/0111119v1","created_at":"2026-05-18T02:41:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0111119","created_at":"2026-05-18T02:41:33Z"},{"alias_kind":"pith_short_12","alias_value":"GMLNL7NX4Z6L","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"GMLNL7NX4Z6LGTYM","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"GMLNL7NX","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:GMLNL7NX4Z6LGTYMKRUIIWSX5H","target":"record","payload":{"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"},"canonical_sha256":"3316d5fdb7e67cb34f0c5468845a57e9ecf8e82ff0045b74da216e359487657c","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"},"source_kind":"arxiv","source_id":"math/0111119","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:41:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HaOUo8sNTPJjyxUlhAs7+3l6ZRA8MttSUF4qjJV3iIz7YpeW9bz5/h+4B52J6rEMcedBOC2QheU1/Oxv5J2rAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:52:55.984385Z"},"content_sha256":"55efec6aef81b967b5765a2b9c78d4205358e484b25ee85da9c7b24798168c80","schema_version":"1.0","event_id":"sha256:55efec6aef81b967b5765a2b9c78d4205358e484b25ee85da9c7b24798168c80"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:GMLNL7NX4Z6LGTYMKRUIIWSX5H","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:41:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GTDTPP7DjP3UBkmtxvDs75OxfEY6nZAnSNptGpf7I33eOevZyax0i2EHQJgAIxXfOf7ULwqOeioKbNOH+pG5DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:52:55.985031Z"},"content_sha256":"9fd9334da50c71a677e586033c35847f1d3f7a78f520a009753923e0095993a4","schema_version":"1.0","event_id":"sha256:9fd9334da50c71a677e586033c35847f1d3f7a78f520a009753923e0095993a4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GMLNL7NX4Z6LGTYMKRUIIWSX5H/bundle.json","state_url":"https://pith.science/pith/GMLNL7NX4Z6LGTYMKRUIIWSX5H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GMLNL7NX4Z6LGTYMKRUIIWSX5H/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T11:52:55Z","links":{"resolver":"https://pith.science/pith/GMLNL7NX4Z6LGTYMKRUIIWSX5H","bundle":"https://pith.science/pith/GMLNL7NX4Z6LGTYMKRUIIWSX5H/bundle.json","state":"https://pith.science/pith/GMLNL7NX4Z6LGTYMKRUIIWSX5H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GMLNL7NX4Z6LGTYMKRUIIWSX5H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:GMLNL7NX4Z6LGTYMKRUIIWSX5H","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c2d60a14445752719b0c74566513767ad07f4f5d41152988b2a741cdcda5bf96","cross_cats_sorted":[],"license":"","primary_cat":"math.GT","submitted_at":"2001-11-09T20:21:37Z","title_canon_sha256":"6db09402dd27b3e4d26bfcd3b6f6cc1be1108d44c9d3bdece4d826992910d2b6"},"schema_version":"1.0","source":{"id":"math/0111119","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0111119","created_at":"2026-05-18T02:41:33Z"},{"alias_kind":"arxiv_version","alias_value":"math/0111119v1","created_at":"2026-05-18T02:41:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0111119","created_at":"2026-05-18T02:41:33Z"},{"alias_kind":"pith_short_12","alias_value":"GMLNL7NX4Z6L","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"GMLNL7NX4Z6LGTYM","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"GMLNL7NX","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:9fd9334da50c71a677e586033c35847f1d3f7a78f520a009753923e0095993a4","target":"graph","created_at":"2026-05-18T02:41:33Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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.","authors_text":"Danny Calegari","cross_cats":[],"headline":"","license":"","primary_cat":"math.GT","submitted_at":"2001-11-09T20:21:37Z","title":"Leafwise smoothing laminations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0111119","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:55efec6aef81b967b5765a2b9c78d4205358e484b25ee85da9c7b24798168c80","target":"record","created_at":"2026-05-18T02:41:33Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c2d60a14445752719b0c74566513767ad07f4f5d41152988b2a741cdcda5bf96","cross_cats_sorted":[],"license":"","primary_cat":"math.GT","submitted_at":"2001-11-09T20:21:37Z","title_canon_sha256":"6db09402dd27b3e4d26bfcd3b6f6cc1be1108d44c9d3bdece4d826992910d2b6"},"schema_version":"1.0","source":{"id":"math/0111119","kind":"arxiv","version":1}},"canonical_sha256":"3316d5fdb7e67cb34f0c5468845a57e9ecf8e82ff0045b74da216e359487657c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3316d5fdb7e67cb34f0c5468845a57e9ecf8e82ff0045b74da216e359487657c","first_computed_at":"2026-05-18T02:41:33.186363Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:33.186363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZACKKMceKVZZ4qIyQjDOEeQ9RZawlpQu+5hnkF5inUIViNTbA8WEw2elc8yYfkhS64QGGqzan8gxs5DD+l2QCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:33.186778Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0111119","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55efec6aef81b967b5765a2b9c78d4205358e484b25ee85da9c7b24798168c80","sha256:9fd9334da50c71a677e586033c35847f1d3f7a78f520a009753923e0095993a4"],"state_sha256":"72f7d32837b40b441eb59477318aa44eb707ed95eefb1b9e49b673271fb86493"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZW66PRQk2R5vTGg8c+kpVKkG3D8P0DfFpOfwc86H3zWJjWdXnWoBT2BRcV33D5fDh9Nmi4g+caPItDA0kil2Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T11:52:55.989007Z","bundle_sha256":"da3cabc332a3c845c2b27502f9c45d9396538e4ecf840a9122c83ab11ef9c625"}}