{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:67TAXDNF4ZY43CJLTTYDOV43CC","short_pith_number":"pith:67TAXDNF","canonical_record":{"source":{"id":"1807.05603","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-15T20:13:29Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d84f2c6d316cf63138ed3c9f4b17e31d4736c00f4ec71a3f721c555b294d6e6a","abstract_canon_sha256":"59a70d6558788562b192fdeb8df613c8a3f2905ff1ec38781c3b027c5ca81bcf"},"schema_version":"1.0"},"canonical_sha256":"f7e60b8da5e671cd892b9cf037579b108126ef8dbce450296f11d57e108ee159","source":{"kind":"arxiv","id":"1807.05603","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.05603","created_at":"2026-05-17T23:59:14Z"},{"alias_kind":"arxiv_version","alias_value":"1807.05603v1","created_at":"2026-05-17T23:59:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05603","created_at":"2026-05-17T23:59:14Z"},{"alias_kind":"pith_short_12","alias_value":"67TAXDNF4ZY4","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"67TAXDNF4ZY43CJL","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"67TAXDNF","created_at":"2026-05-18T12:32:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:67TAXDNF4ZY43CJLTTYDOV43CC","target":"record","payload":{"canonical_record":{"source":{"id":"1807.05603","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-15T20:13:29Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d84f2c6d316cf63138ed3c9f4b17e31d4736c00f4ec71a3f721c555b294d6e6a","abstract_canon_sha256":"59a70d6558788562b192fdeb8df613c8a3f2905ff1ec38781c3b027c5ca81bcf"},"schema_version":"1.0"},"canonical_sha256":"f7e60b8da5e671cd892b9cf037579b108126ef8dbce450296f11d57e108ee159","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:14.993152Z","signature_b64":"YWwo8IqYDFFRaCo5tu3BlpfFqPG2KApL4RbGl4RhZKE0ToByldo3hznkVF/bw+0QyiffWNneTYBnBrlOpx/GDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f7e60b8da5e671cd892b9cf037579b108126ef8dbce450296f11d57e108ee159","last_reissued_at":"2026-05-17T23:59:14.992646Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:14.992646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.05603","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y4RbO07ae1DFGPa7H3omowv1bBmsOghpGbSxCKNF/4C1/7oyYv2oEyHBRF52lXScKun3tQvhqflDrNTiOYnKBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:32:11.181551Z"},"content_sha256":"7dec9ec0f20c984f3df66570849fa6c659474e2cb98e13d3615fc4e2d248ef6b","schema_version":"1.0","event_id":"sha256:7dec9ec0f20c984f3df66570849fa6c659474e2cb98e13d3615fc4e2d248ef6b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:67TAXDNF4ZY43CJLTTYDOV43CC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three Blocks Solvable Lattice Models and Birman--Murakami--Wenzl Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Doron Gepner, Vladimir Belavin","submitted_at":"2018-07-15T20:13:29Z","abstract_excerpt":"Birman--Murakami--Wenzl (BMW) algebra was introduced in connection with knot theory. We treat here interaction round the face solvable (IRF) lattice models. We assume that the face transfer matrix obeys a cubic polynomial equation, which is called the three block case. We prove that the three block theories all obey the BMW algebra. We exemplify this result by treating in detail the $SU(2)$ $2\\times 2$ fused models, and showing explicitly the BMW structure. We use the connection between the construction of solvable lattice models and conformal field theory. This result is important to the solu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05603","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GzYvOj/5BCKhF912435r0NpobsTOWLhigZDjjp2aFH5gjrD7Dwza4X6QHqHKrtwByhj1WV45WXQPjgZvjVkGDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:32:11.182799Z"},"content_sha256":"2382d99be5ecc629195838d03e574b2b5be25ddec425aa8b80dc15e0916bce29","schema_version":"1.0","event_id":"sha256:2382d99be5ecc629195838d03e574b2b5be25ddec425aa8b80dc15e0916bce29"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/67TAXDNF4ZY43CJLTTYDOV43CC/bundle.json","state_url":"https://pith.science/pith/67TAXDNF4ZY43CJLTTYDOV43CC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/67TAXDNF4ZY43CJLTTYDOV43CC/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T23:32:11Z","links":{"resolver":"https://pith.science/pith/67TAXDNF4ZY43CJLTTYDOV43CC","bundle":"https://pith.science/pith/67TAXDNF4ZY43CJLTTYDOV43CC/bundle.json","state":"https://pith.science/pith/67TAXDNF4ZY43CJLTTYDOV43CC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/67TAXDNF4ZY43CJLTTYDOV43CC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:67TAXDNF4ZY43CJLTTYDOV43CC","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":"59a70d6558788562b192fdeb8df613c8a3f2905ff1ec38781c3b027c5ca81bcf","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-15T20:13:29Z","title_canon_sha256":"d84f2c6d316cf63138ed3c9f4b17e31d4736c00f4ec71a3f721c555b294d6e6a"},"schema_version":"1.0","source":{"id":"1807.05603","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.05603","created_at":"2026-05-17T23:59:14Z"},{"alias_kind":"arxiv_version","alias_value":"1807.05603v1","created_at":"2026-05-17T23:59:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05603","created_at":"2026-05-17T23:59:14Z"},{"alias_kind":"pith_short_12","alias_value":"67TAXDNF4ZY4","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"67TAXDNF4ZY43CJL","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"67TAXDNF","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:2382d99be5ecc629195838d03e574b2b5be25ddec425aa8b80dc15e0916bce29","target":"graph","created_at":"2026-05-17T23:59:14Z","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":"Birman--Murakami--Wenzl (BMW) algebra was introduced in connection with knot theory. We treat here interaction round the face solvable (IRF) lattice models. We assume that the face transfer matrix obeys a cubic polynomial equation, which is called the three block case. We prove that the three block theories all obey the BMW algebra. We exemplify this result by treating in detail the $SU(2)$ $2\\times 2$ fused models, and showing explicitly the BMW structure. We use the connection between the construction of solvable lattice models and conformal field theory. This result is important to the solu","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":"2018-07-15T20:13:29Z","title":"Three Blocks Solvable Lattice Models and Birman--Murakami--Wenzl Algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05603","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":"sha256:7dec9ec0f20c984f3df66570849fa6c659474e2cb98e13d3615fc4e2d248ef6b","target":"record","created_at":"2026-05-17T23:59:14Z","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":"59a70d6558788562b192fdeb8df613c8a3f2905ff1ec38781c3b027c5ca81bcf","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-15T20:13:29Z","title_canon_sha256":"d84f2c6d316cf63138ed3c9f4b17e31d4736c00f4ec71a3f721c555b294d6e6a"},"schema_version":"1.0","source":{"id":"1807.05603","kind":"arxiv","version":1}},"canonical_sha256":"f7e60b8da5e671cd892b9cf037579b108126ef8dbce450296f11d57e108ee159","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7e60b8da5e671cd892b9cf037579b108126ef8dbce450296f11d57e108ee159","first_computed_at":"2026-05-17T23:59:14.992646Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:14.992646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YWwo8IqYDFFRaCo5tu3BlpfFqPG2KApL4RbGl4RhZKE0ToByldo3hznkVF/bw+0QyiffWNneTYBnBrlOpx/GDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:14.993152Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.05603","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7dec9ec0f20c984f3df66570849fa6c659474e2cb98e13d3615fc4e2d248ef6b","sha256:2382d99be5ecc629195838d03e574b2b5be25ddec425aa8b80dc15e0916bce29"],"state_sha256":"c5ce7a0f4b562d4654966ef8cf629911e9c4f1d1de0183666c91db10581e75f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WC5BvKLr+ZVU0YBR8FSUt9Hyjji40A68KI3fLNbkf8iDSy7/Fe5o8lKeRymzoEMBCGST4RLL04o7GKq8ny8OAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T23:32:11.187652Z","bundle_sha256":"820cdbbdd752e75cc248aa342b83bc35f8b1299880affb442be0b8b2a802c149"}}