{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1994:6J4AAUPANGLJ5GQDW3MJEK4ZV5","short_pith_number":"pith:6J4AAUPA","schema_version":"1.0","canonical_sha256":"f2780051e069969e9a03b6d8922b99af4de96562e7582a1ade85153264fdd6b5","source":{"kind":"arxiv","id":"math/9410215","version":1},"attestation_state":"computed","paper":{"title":"Exceptional surgery on knots","license":"","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Steven Boyer, Xingru Zhang","submitted_at":"1994-10-01T00:00:00Z","abstract_excerpt":"Let $M$ be an irreducible, compact, connected, orientable 3-manifold whose boundary is a torus. We show that if $M$ is hyperbolic, then it admits at most six finite/cyclic fillings of maximal distance 5. Further, the distance of a finite/cyclic filling to a cyclic filling is at most 2. If $M$ has a non-boundary-parallel, incompressible torus and is not a generalized 1-iterated torus knot complement, then there are at most three finite/cyclic fillings of maximal distance 1. Further, if $M$ has a non-boundary-parallel, incompressible torus and is not a generalized 1- or 2-iterated torus knot com"},"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/9410215","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"1994-10-01T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"f6cc1f0f028d5a980434fd82f9cc2c280099e918edf8eed0bbd1fe851f63870e","abstract_canon_sha256":"0ea0af478d50da5be5530b1f46e5ac18eae0ebe3190878322a6728fd6cc0b648"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:50.960379Z","signature_b64":"sYGZv5ITtLbt23g9vB+UIDOhiqTbMRTw+BX0+5/6sGIgj2G0xLAWcoEPx2WdmWAEfM9NxeQRVQE8uRuMUcY7CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2780051e069969e9a03b6d8922b99af4de96562e7582a1ade85153264fdd6b5","last_reissued_at":"2026-05-18T01:05:50.959722Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:50.959722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exceptional surgery on knots","license":"","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Steven Boyer, Xingru Zhang","submitted_at":"1994-10-01T00:00:00Z","abstract_excerpt":"Let $M$ be an irreducible, compact, connected, orientable 3-manifold whose boundary is a torus. We show that if $M$ is hyperbolic, then it admits at most six finite/cyclic fillings of maximal distance 5. Further, the distance of a finite/cyclic filling to a cyclic filling is at most 2. If $M$ has a non-boundary-parallel, incompressible torus and is not a generalized 1-iterated torus knot complement, then there are at most three finite/cyclic fillings of maximal distance 1. Further, if $M$ has a non-boundary-parallel, incompressible torus and is not a generalized 1- or 2-iterated torus knot com"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9410215","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/9410215","created_at":"2026-05-18T01:05:50.959822+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/9410215v1","created_at":"2026-05-18T01:05:50.959822+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9410215","created_at":"2026-05-18T01:05:50.959822+00:00"},{"alias_kind":"pith_short_12","alias_value":"6J4AAUPANGLJ","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_16","alias_value":"6J4AAUPANGLJ5GQD","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_8","alias_value":"6J4AAUPA","created_at":"2026-05-18T12:25:47.102015+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/6J4AAUPANGLJ5GQDW3MJEK4ZV5","json":"https://pith.science/pith/6J4AAUPANGLJ5GQDW3MJEK4ZV5.json","graph_json":"https://pith.science/api/pith-number/6J4AAUPANGLJ5GQDW3MJEK4ZV5/graph.json","events_json":"https://pith.science/api/pith-number/6J4AAUPANGLJ5GQDW3MJEK4ZV5/events.json","paper":"https://pith.science/paper/6J4AAUPA"},"agent_actions":{"view_html":"https://pith.science/pith/6J4AAUPANGLJ5GQDW3MJEK4ZV5","download_json":"https://pith.science/pith/6J4AAUPANGLJ5GQDW3MJEK4ZV5.json","view_paper":"https://pith.science/paper/6J4AAUPA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/9410215&json=true","fetch_graph":"https://pith.science/api/pith-number/6J4AAUPANGLJ5GQDW3MJEK4ZV5/graph.json","fetch_events":"https://pith.science/api/pith-number/6J4AAUPANGLJ5GQDW3MJEK4ZV5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6J4AAUPANGLJ5GQDW3MJEK4ZV5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6J4AAUPANGLJ5GQDW3MJEK4ZV5/action/storage_attestation","attest_author":"https://pith.science/pith/6J4AAUPANGLJ5GQDW3MJEK4ZV5/action/author_attestation","sign_citation":"https://pith.science/pith/6J4AAUPANGLJ5GQDW3MJEK4ZV5/action/citation_signature","submit_replication":"https://pith.science/pith/6J4AAUPANGLJ5GQDW3MJEK4ZV5/action/replication_record"}},"created_at":"2026-05-18T01:05:50.959822+00:00","updated_at":"2026-05-18T01:05:50.959822+00:00"}