{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:VWGJ7WXLATCB2YGVFB723M5E2G","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":"68c4e29b40b6b725cbb11b6e2becad429507f236ce7799c14bc4f01efcbb7ec0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-04-17T17:53:47Z","title_canon_sha256":"df340324db6744c446b761ffe474e72de0b6344a1ea9f876ad46e915f13013d4"},"schema_version":"1.0","source":{"id":"1604.04902","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.04902","created_at":"2026-05-18T01:16:56Z"},{"alias_kind":"arxiv_version","alias_value":"1604.04902v1","created_at":"2026-05-18T01:16:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04902","created_at":"2026-05-18T01:16:56Z"},{"alias_kind":"pith_short_12","alias_value":"VWGJ7WXLATCB","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VWGJ7WXLATCB2YGV","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VWGJ7WXL","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:9c82dd4cc7469a939cff880a9b6d43231450ded5d13ba50f51bddbb070c07ab3","target":"graph","created_at":"2026-05-18T01:16:56Z","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":"Let K be a fibered knot in the 3-sphere. We show that if the monodromy of K is sufficiently complicated, then Dehn surgery on K cannot yield a lens space. Work of Yi Ni shows that if K has a lens space surgery then it is fibered. Combining this with our result we see that if K has a lens space surgery then it is fibered and the monodromy is relatively simple.","authors_text":"Abigail Thompson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-04-17T17:53:47Z","title":"Dehn surgery on complicated fibered knots in the 3-sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04902","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":"sha256:3391c10f0f4ee059c4e385fd599649e77eacd98b4393cb55f134ee7eeb38babc","target":"record","created_at":"2026-05-18T01:16:56Z","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":"68c4e29b40b6b725cbb11b6e2becad429507f236ce7799c14bc4f01efcbb7ec0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-04-17T17:53:47Z","title_canon_sha256":"df340324db6744c446b761ffe474e72de0b6344a1ea9f876ad46e915f13013d4"},"schema_version":"1.0","source":{"id":"1604.04902","kind":"arxiv","version":1}},"canonical_sha256":"ad8c9fdaeb04c41d60d5287fadb3a4d1858a9434fd52b485d2c3d0678060eecd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad8c9fdaeb04c41d60d5287fadb3a4d1858a9434fd52b485d2c3d0678060eecd","first_computed_at":"2026-05-18T01:16:56.384305Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:56.384305Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bHyuI1hLaSvWfNVAbj+1rrA2lhOjapjVlaiDZQCD3hhuHIjKdRcs3Z1FJYB0lpjmDsUDwPmJNjnCiCviQz6UDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:56.384968Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.04902","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3391c10f0f4ee059c4e385fd599649e77eacd98b4393cb55f134ee7eeb38babc","sha256:9c82dd4cc7469a939cff880a9b6d43231450ded5d13ba50f51bddbb070c07ab3"],"state_sha256":"d5eec8c03a7fb7b513e49972775611582a4f637a8b40b6c6227bf9a1356c54ac"}