{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BSJV2GGCOWXPB46HJBHGXVNSGP","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":"d0bb7582632c9e0a70e183df5d94aece730b89d3ca8547d2e8f5fedad4d54e0b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-13T03:33:03Z","title_canon_sha256":"e3e2212b5fff058c8b4a221b27bca6084f135d2c3d4390ce3bdfe442e200c0b5"},"schema_version":"1.0","source":{"id":"1311.3008","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3008","created_at":"2026-05-18T01:20:59Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3008v2","created_at":"2026-05-18T01:20:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3008","created_at":"2026-05-18T01:20:59Z"},{"alias_kind":"pith_short_12","alias_value":"BSJV2GGCOWXP","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BSJV2GGCOWXPB46H","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BSJV2GGC","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:3e6e0ddd362904d8bd90b982a613a58c8745e0acf8985a1a2af54b04152a0915","target":"graph","created_at":"2026-05-18T01:20:59Z","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 provide a diagrammatic criterion for semi-adequate links to be hyperbolic. We also give a conjectural description of the satellite structures of semi-adequate links. One application of our result is that the closures of sufficiently complicated positive braids are hyperbolic links.","authors_text":"David Futer, Efstratia Kalfagianni, Jessica S. Purcell","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-13T03:33:03Z","title":"Hyperbolic semi-adequate links"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3008","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":"sha256:0f3e484d3a1980e92358958d0c30f44814f22a49eee2b6d5e9a7bf6c1a3c763d","target":"record","created_at":"2026-05-18T01:20:59Z","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":"d0bb7582632c9e0a70e183df5d94aece730b89d3ca8547d2e8f5fedad4d54e0b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-13T03:33:03Z","title_canon_sha256":"e3e2212b5fff058c8b4a221b27bca6084f135d2c3d4390ce3bdfe442e200c0b5"},"schema_version":"1.0","source":{"id":"1311.3008","kind":"arxiv","version":2}},"canonical_sha256":"0c935d18c275aef0f3c7484e6bd5b233fcbee048dcedf0322ed98c4362247daa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c935d18c275aef0f3c7484e6bd5b233fcbee048dcedf0322ed98c4362247daa","first_computed_at":"2026-05-18T01:20:59.531432Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:59.531432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"swbfyiyBQjfsgeiiDZ4noGu0QGvA6VatMO+j+tY5HwKycysXE59MeiDivQJFjfKEVz+N0gxcIqlrUME8mmSDDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:59.531895Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.3008","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f3e484d3a1980e92358958d0c30f44814f22a49eee2b6d5e9a7bf6c1a3c763d","sha256:3e6e0ddd362904d8bd90b982a613a58c8745e0acf8985a1a2af54b04152a0915"],"state_sha256":"42bafbd4f0487f5f1489a7c701a2d1eae7a54835e2074c53f1d6a15948d25dba"}