{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SPDZSHP67WQCP6YEDLF2JVYTOK","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":"bed578ad21adbe501a8eb82ff17748737ca2987eb800916a78aaedd48ae75097","cross_cats_sorted":["math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-05-09T19:17:25Z","title_canon_sha256":"79fb54ae68a51e8f8a7d32cacb9843904ceba1610d0c48737e69c611180f94ff"},"schema_version":"1.0","source":{"id":"1305.2183","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2183","created_at":"2026-05-18T02:44:32Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2183v2","created_at":"2026-05-18T02:44:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2183","created_at":"2026-05-18T02:44:32Z"},{"alias_kind":"pith_short_12","alias_value":"SPDZSHP67WQC","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SPDZSHP67WQCP6YE","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SPDZSHP6","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:7235333370da17a77e22abf7fbc752125928cc3501e6947e0855fd19cb1056e3","target":"graph","created_at":"2026-05-18T02:44:32Z","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 the sutured Khovanov homology of a balanced tangle in the product sutured manifold D x I has rank 1 if and only if the tangle is isotopic to a braid.","authors_text":"J. Elisenda Grigsby, Yi Ni","cross_cats":["math.QA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-05-09T19:17:25Z","title":"Sutured Khovanov homology distinguishes braids from other tangles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2183","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:ffbfe63b08daabc856974943d8b0357d1a3b2df99093e216a47afeb6fa64c4da","target":"record","created_at":"2026-05-18T02:44:32Z","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":"bed578ad21adbe501a8eb82ff17748737ca2987eb800916a78aaedd48ae75097","cross_cats_sorted":["math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-05-09T19:17:25Z","title_canon_sha256":"79fb54ae68a51e8f8a7d32cacb9843904ceba1610d0c48737e69c611180f94ff"},"schema_version":"1.0","source":{"id":"1305.2183","kind":"arxiv","version":2}},"canonical_sha256":"93c7991dfefda027fb041acba4d71372bc408326e91c67020d587d8e6bc74fd6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93c7991dfefda027fb041acba4d71372bc408326e91c67020d587d8e6bc74fd6","first_computed_at":"2026-05-18T02:44:32.282821Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:32.282821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xc0JcJXtlfHz07dEveM0lTgv5QMHomNOaRt+dlrMYR0GiliWUz087STW2/c3luv1C4n8ziyuC7RqkP2cLdNMBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:32.283432Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.2183","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ffbfe63b08daabc856974943d8b0357d1a3b2df99093e216a47afeb6fa64c4da","sha256:7235333370da17a77e22abf7fbc752125928cc3501e6947e0855fd19cb1056e3"],"state_sha256":"693c094808fbee7bfd6e985b7150d53fe19ad2e19b69c2b0d9c6afb55efe764f"}