{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OYAEMVIPP5FJNVW3CCW4UH4EEG","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":"77b7af3713f5c6a95fa8ae05e203cbdef7373f13e37d02506aae6379d6ba884e","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-06-26T05:43:19Z","title_canon_sha256":"63d2c042021c5d4ab156c2761a4d778dbf1a3c73fc3bbeb0fd9b24be0dee82b2"},"schema_version":"1.0","source":{"id":"1206.5886","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.5886","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"arxiv_version","alias_value":"1206.5886v1","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.5886","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"pith_short_12","alias_value":"OYAEMVIPP5FJ","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"OYAEMVIPP5FJNVW3","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"OYAEMVIP","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:cbb722d30bcab522122beea37003469003fb90de973ff21e7af9a63e84e61c98","target":"graph","created_at":"2026-05-18T01:56:41Z","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":"In this paper, we study the properties of the colored HOMFLY polynomials via HOMFLY skein theory. We prove some limit behaviors and symmetries of the colored HOMFLY polynomial predicted in some physicists' recent works.","authors_text":"Shengmao Zhu","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-06-26T05:43:19Z","title":"Colored HOMFLY polynomial via skein theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.5886","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":"sha256:02e5200870af6aa0b390342cbb17d924390c78220332962eedc16ef29b84f935","target":"record","created_at":"2026-05-18T01:56:41Z","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":"77b7af3713f5c6a95fa8ae05e203cbdef7373f13e37d02506aae6379d6ba884e","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-06-26T05:43:19Z","title_canon_sha256":"63d2c042021c5d4ab156c2761a4d778dbf1a3c73fc3bbeb0fd9b24be0dee82b2"},"schema_version":"1.0","source":{"id":"1206.5886","kind":"arxiv","version":1}},"canonical_sha256":"760046550f7f4a96d6db10adca1f84218196782fcd2bb82fe46c6723378468ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"760046550f7f4a96d6db10adca1f84218196782fcd2bb82fe46c6723378468ee","first_computed_at":"2026-05-18T01:56:41.820911Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:56:41.820911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f08+eY7GHEIGNsq3paoca9efPdc5Z6K/b4u8RhMfp78475U+zxjQDXTHf0ZaZv5+LzmNv+ePLUBO0mwxS1TYAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:56:41.821531Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.5886","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02e5200870af6aa0b390342cbb17d924390c78220332962eedc16ef29b84f935","sha256:cbb722d30bcab522122beea37003469003fb90de973ff21e7af9a63e84e61c98"],"state_sha256":"c20ffab18cd930750a2b6ef0b62523d257556d9ab2347709b15587f46edd2809"}