{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:JH6UEHX7UN44ML5ZI4WVC54VTH","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":"9f920ffa161c5bce76451208b00ea3738e3311d33b15354ee7975ac6432e7008","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2010-09-09T14:53:23Z","title_canon_sha256":"cd3e810517e1de7dad6fba88d789e579552d44fd79c8078753490a4b2dd43bda"},"schema_version":"1.0","source":{"id":"1009.1800","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.1800","created_at":"2026-05-18T04:31:30Z"},{"alias_kind":"arxiv_version","alias_value":"1009.1800v3","created_at":"2026-05-18T04:31:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1800","created_at":"2026-05-18T04:31:30Z"},{"alias_kind":"pith_short_12","alias_value":"JH6UEHX7UN44","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JH6UEHX7UN44ML5Z","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JH6UEHX7","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:8116755f9b5e7bedad03a786ad1d638371608aa2004432d1a45566d8140676eb","target":"graph","created_at":"2026-05-18T04:31:30Z","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 give an explicit formula for the HOMFLY polynomial of a rational link (in particular, a knot) in terms of a special continued fraction for the rational number that defines the given link.","authors_text":"Mikhail Shkolnikov, Sergei Duzhin","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2010-09-09T14:53:23Z","title":"A formula for the HOMFLY polynomial of rational links"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.1800","kind":"arxiv","version":3},"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:d5443c771fb00bcd847bf03146e669834b3d1f01c0deda0adda16f1a3ec6d31d","target":"record","created_at":"2026-05-18T04:31:30Z","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":"9f920ffa161c5bce76451208b00ea3738e3311d33b15354ee7975ac6432e7008","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2010-09-09T14:53:23Z","title_canon_sha256":"cd3e810517e1de7dad6fba88d789e579552d44fd79c8078753490a4b2dd43bda"},"schema_version":"1.0","source":{"id":"1009.1800","kind":"arxiv","version":3}},"canonical_sha256":"49fd421effa379c62fb9472d51779599d6c99f2fabc9e5154ac75bb73507f16a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49fd421effa379c62fb9472d51779599d6c99f2fabc9e5154ac75bb73507f16a","first_computed_at":"2026-05-18T04:31:30.996076Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:31:30.996076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rtbB3MtycXOa+XYrZVYNX+pP0IDBY6Lx90+HSGAY8tbm/mzstewNVYd498MxrjvCFLPBuq7qsY6xv6I37LLHDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:31:30.996755Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.1800","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5443c771fb00bcd847bf03146e669834b3d1f01c0deda0adda16f1a3ec6d31d","sha256:8116755f9b5e7bedad03a786ad1d638371608aa2004432d1a45566d8140676eb"],"state_sha256":"55e131d1968252f1d50d51ddbbdd54f5d99f6f6c9c1e23b74e347d5838e83de1"}