{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3Z27RXY2XS75USS6W4CQGUOF4F","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":"0ad77c25c566a31321cb1fdafa9cbb3c14295b827cdda6fbc08802d983018cbd","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-18T09:21:15Z","title_canon_sha256":"c092fb163f92b0e0deeb6fdf2b06326b76e949aa44b378c35acc6e0c335c545d"},"schema_version":"1.0","source":{"id":"1810.07959","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.07959","created_at":"2026-05-17T23:53:25Z"},{"alias_kind":"arxiv_version","alias_value":"1810.07959v2","created_at":"2026-05-17T23:53:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.07959","created_at":"2026-05-17T23:53:25Z"},{"alias_kind":"pith_short_12","alias_value":"3Z27RXY2XS75","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"3Z27RXY2XS75USS6","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"3Z27RXY2","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:315386f9e716027dcd5c084749101c21a2d1f2428c6e6ad308a6983d1834a9df","target":"graph","created_at":"2026-05-17T23:53:25Z","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 treat here interaction round the face (IRF) solvable lattice models. We study the algebraic structures underlining such models. For the three block case, we show that the Yang Baxter equation is obeyed, if and only if, the Birman--Murakami--Wenzl (BMW) algebra is obeyed. We prove this by an algebraic expansion of the Yang Baxter equation (YBE). For four blocks IRF models, we show that the BMW algebra is also obeyed, apart from the skein relation, which is different. This indicates that the BMW algebra is a sub--algebra for all models with three or more blocks. We find additional relations f","authors_text":"Doron Gepner, Vladimir Belavin","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-18T09:21:15Z","title":"On the Algebraic Approach to Solvable Lattice Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.07959","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":"sha256:3ed2256c8c1c1987b0a8548d2eea33b9f1282df7cb9f81e8774ba80595ab350f","target":"record","created_at":"2026-05-17T23:53:25Z","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":"0ad77c25c566a31321cb1fdafa9cbb3c14295b827cdda6fbc08802d983018cbd","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-18T09:21:15Z","title_canon_sha256":"c092fb163f92b0e0deeb6fdf2b06326b76e949aa44b378c35acc6e0c335c545d"},"schema_version":"1.0","source":{"id":"1810.07959","kind":"arxiv","version":2}},"canonical_sha256":"de75f8df1abcbfda4a5eb7050351c5e178cf37ceb97d0215982079edaab75ed4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de75f8df1abcbfda4a5eb7050351c5e178cf37ceb97d0215982079edaab75ed4","first_computed_at":"2026-05-17T23:53:25.259757Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:25.259757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bSIxK0MzoAGoEHhoeVpcne1FVMU13yUkYzr1VXu7UZoo5LxV7miC9zT70qxHwQ2PI3a7D6QRNbBQmyw7knmIBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:25.260269Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.07959","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ed2256c8c1c1987b0a8548d2eea33b9f1282df7cb9f81e8774ba80595ab350f","sha256:315386f9e716027dcd5c084749101c21a2d1f2428c6e6ad308a6983d1834a9df"],"state_sha256":"527ed506bb77f555d8dab48ff55d3f63feed3c8009faed94ca37ffca92968717"}