{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:OOIXT7ZAZWZU34ODT7JP5L73GR","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":"67a8e5a395d99be28f432eb927312263b87d75cee30086f08a359700fd1c777b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2020-07-23T03:46:12Z","title_canon_sha256":"966da745272abc94563a991bae4910f22a482ebd0c727662d19010586a73773f"},"schema_version":"1.0","source":{"id":"2007.11774","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.11774","created_at":"2026-07-05T03:55:24Z"},{"alias_kind":"arxiv_version","alias_value":"2007.11774v2","created_at":"2026-07-05T03:55:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.11774","created_at":"2026-07-05T03:55:24Z"},{"alias_kind":"pith_short_12","alias_value":"OOIXT7ZAZWZU","created_at":"2026-07-05T03:55:24Z"},{"alias_kind":"pith_short_16","alias_value":"OOIXT7ZAZWZU34OD","created_at":"2026-07-05T03:55:24Z"},{"alias_kind":"pith_short_8","alias_value":"OOIXT7ZA","created_at":"2026-07-05T03:55:24Z"}],"graph_snapshots":[{"event_id":"sha256:c8471d4a8d6c3ba9ce32bddebb1e6d2413bc9808cb56262de2eef96edd50b47a","target":"graph","created_at":"2026-07-05T03:55:24Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2007.11774/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $K\\subset S^3$ be a hyperbolic fibered knot such that $S^3_{p/q}(K)$, the $\\frac pq$--surgery on $K$, is non-hyperbolic. We prove that if the monodromy of $K$ is right-veering, then $0\\le\\frac pq\\le 4g(K)$. The upper bound $4g(K)$ cannot be attained if $S^3_{p/q}(K)$ is a small Seifert fibered L-space. If the monodromy of $K$ is neither right-veering nor left-veering, then $|q|\\le3$.\n  As a corollary, for any given positive torus knot $T$, if $p/q\\ge4g(T)+4$, then $p/q$ is a characterizing slope. This improves earlier bounds of Ni--Zhang and McCoy. We also prove that some finite/cyclic slo","authors_text":"Yi Ni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2020-07-23T03:46:12Z","title":"Exceptional surgeries on hyperbolic fibered knots"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.11774","kind":"arxiv","version":2},"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":"sha256:40a2ac27e9446e0fdc35d37e2debcbbcafc4ec9b70d556b86d564a59d9e01411","target":"record","created_at":"2026-07-05T03:55:24Z","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":"67a8e5a395d99be28f432eb927312263b87d75cee30086f08a359700fd1c777b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2020-07-23T03:46:12Z","title_canon_sha256":"966da745272abc94563a991bae4910f22a482ebd0c727662d19010586a73773f"},"schema_version":"1.0","source":{"id":"2007.11774","kind":"arxiv","version":2}},"canonical_sha256":"739179ff20cdb34df1c39fd2feaffb344c5d3bc2c4b601cd55ecb2ebe5c31ba7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"739179ff20cdb34df1c39fd2feaffb344c5d3bc2c4b601cd55ecb2ebe5c31ba7","first_computed_at":"2026-07-05T03:55:24.650622Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:55:24.650622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YnfCxSLBtbjpFbyA8TXSP3oz4G4z/tR0ghy2OWkWb+RbrDYjlNM5Cg4VSCheAz24BojuCFnvW2s+N/ojQth7Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:55:24.651062Z","signed_message":"canonical_sha256_bytes"},"source_id":"2007.11774","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40a2ac27e9446e0fdc35d37e2debcbbcafc4ec9b70d556b86d564a59d9e01411","sha256:c8471d4a8d6c3ba9ce32bddebb1e6d2413bc9808cb56262de2eef96edd50b47a"],"state_sha256":"05321ea91aae6ea401202efb4117c58a088b4aa130aeacca748a8b422cf6e2fc"}