{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:WNGJQQ4OREL5EQIXVWLATC2Y62","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":"9ff7ca796f9919fa43b1a79f28129ce40630e0872d756de107c42bec91cf9d18","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-06-19T08:49:06Z","title_canon_sha256":"3a6d63f90127ecce2254b2e60bbfe54b03131479b8cd589c3d0d6c82db9ccb4c"},"schema_version":"1.0","source":{"id":"1206.4150","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.4150","created_at":"2026-05-18T01:56:51Z"},{"alias_kind":"arxiv_version","alias_value":"1206.4150v2","created_at":"2026-05-18T01:56:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.4150","created_at":"2026-05-18T01:56:51Z"},{"alias_kind":"pith_short_12","alias_value":"WNGJQQ4OREL5","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"WNGJQQ4OREL5EQIX","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"WNGJQQ4O","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:d9dee2823d1317909f3cd2c4de4c87eded2680f94232fc3db78143668ff49a9e","target":"graph","created_at":"2026-05-18T01:56:51Z","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":"The main purpose of this paper is the construction of the R-operator which acts in the tensor product of two infinite-dimensional representations of the conformal algebra and solves Yang-Baxter equation. We build the R-operator as a product of more elementary operators S_1, S_2 and S_3. Operators S_1 and S_3 are identified with intertwining operators of two irreducible representations of the conformal algebra and the operator S_2 is obtained from the intertwining operators S_1 and S_3 by a certain duality transformation. There are star-triangle relations for the basic building blocks S_1, S_2 ","authors_text":"A. P. Isaev, D. Chicherin, S. Derkachov","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-06-19T08:49:06Z","title":"Conformal algebra: R-matrix and star-triangle relation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.4150","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":"sha256:6d2738ee53895c228e10a9dc69088f827a8d1fb62495ff0ddd72f29df2bfeb7a","target":"record","created_at":"2026-05-18T01:56:51Z","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":"9ff7ca796f9919fa43b1a79f28129ce40630e0872d756de107c42bec91cf9d18","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-06-19T08:49:06Z","title_canon_sha256":"3a6d63f90127ecce2254b2e60bbfe54b03131479b8cd589c3d0d6c82db9ccb4c"},"schema_version":"1.0","source":{"id":"1206.4150","kind":"arxiv","version":2}},"canonical_sha256":"b34c98438e8917d24117ad96098b58f6ae8aae89ffeb43bb67b50f1407370ee7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b34c98438e8917d24117ad96098b58f6ae8aae89ffeb43bb67b50f1407370ee7","first_computed_at":"2026-05-18T01:56:51.037672Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:56:51.037672Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"54WZHaDI3um2b7JPPOSJvDjHYz/svJ+7AbVHUE/j6+6K9OY/J7GEO4kkdZzq/Ff6E09rMIzf+s3mj8iqs0TiCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:56:51.038283Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.4150","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d2738ee53895c228e10a9dc69088f827a8d1fb62495ff0ddd72f29df2bfeb7a","sha256:d9dee2823d1317909f3cd2c4de4c87eded2680f94232fc3db78143668ff49a9e"],"state_sha256":"bdfdc66b0c3eb2ba583747a0e2e0ac9a0b41e8392a392e69d959341ce854bc31"}