{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:GJUGFMEZUBCYV2NOOSQUEPUCQO","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":"8a79dce00e9fcf2161b8ad2bae8f6ddeeff01dd38865c08ceb4fa641e6dc3236","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-05-31T16:55:27Z","title_canon_sha256":"c2d24b7b34c56747921c8f2f028bb3c3a4c8fc2013e3ffa1bf94b54e111906e0"},"schema_version":"1.0","source":{"id":"1305.7487","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.7487","created_at":"2026-05-18T02:03:38Z"},{"alias_kind":"arxiv_version","alias_value":"1305.7487v1","created_at":"2026-05-18T02:03:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.7487","created_at":"2026-05-18T02:03:38Z"},{"alias_kind":"pith_short_12","alias_value":"GJUGFMEZUBCY","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"GJUGFMEZUBCYV2NO","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"GJUGFMEZ","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:775932f6b4a2fca0432d3cc32fa41a30014e056933d0c2df7504b9b4d64668da","target":"graph","created_at":"2026-05-18T02:03:38Z","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 a torus knot which is not 2-bridge has a unique irreducible bridge splitting of positive genus.","authors_text":"Alexander Zupan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-05-31T16:55:27Z","title":"Uniqueness of higher genus bridge surfaces for torus knots"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.7487","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":"sha256:80dc3df013ab57080d772dec7b9e555754def937dc7cededbfa12cc9ce0cbc35","target":"record","created_at":"2026-05-18T02:03:38Z","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":"8a79dce00e9fcf2161b8ad2bae8f6ddeeff01dd38865c08ceb4fa641e6dc3236","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-05-31T16:55:27Z","title_canon_sha256":"c2d24b7b34c56747921c8f2f028bb3c3a4c8fc2013e3ffa1bf94b54e111906e0"},"schema_version":"1.0","source":{"id":"1305.7487","kind":"arxiv","version":1}},"canonical_sha256":"326862b099a0458ae9ae74a1423e82838c2035ce86bede0b86b409ba483b20cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"326862b099a0458ae9ae74a1423e82838c2035ce86bede0b86b409ba483b20cb","first_computed_at":"2026-05-18T02:03:38.268196Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:38.268196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6nET4AkRn/ASIs971XZojBmGBYJ+lGAUfF0Y0nVZtlKT8vW1BJlbetYyzkILQCzFo1dbS5Wwq/LK0872M+nVAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:38.269010Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.7487","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80dc3df013ab57080d772dec7b9e555754def937dc7cededbfa12cc9ce0cbc35","sha256:775932f6b4a2fca0432d3cc32fa41a30014e056933d0c2df7504b9b4d64668da"],"state_sha256":"5a1ad246f57ede63bb23d8345cf4719eea7125e6d45707ea2f509ce948148133"}