{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:RBXGVDYNO3EJZUDMVPJCAHF624","short_pith_number":"pith:RBXGVDYN","canonical_record":{"source":{"id":"1502.00403","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-02-02T08:59:59Z","cross_cats_sorted":[],"title_canon_sha256":"b302d00ff903d74369b42b786a1ad54d7d54bc75def9710e813dec58fe894f80","abstract_canon_sha256":"766f6530344d73f44e209991cd4937b2162a889b372d9f56c32dfd9c3d4e1f3b"},"schema_version":"1.0"},"canonical_sha256":"886e6a8f0d76c89cd06cabd2201cbed721905904b1a5efd5635fbd4da2fac436","source":{"kind":"arxiv","id":"1502.00403","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.00403","created_at":"2026-05-18T01:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"1502.00403v2","created_at":"2026-05-18T01:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00403","created_at":"2026-05-18T01:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"RBXGVDYNO3EJ","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RBXGVDYNO3EJZUDM","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RBXGVDYN","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:RBXGVDYNO3EJZUDMVPJCAHF624","target":"record","payload":{"canonical_record":{"source":{"id":"1502.00403","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-02-02T08:59:59Z","cross_cats_sorted":[],"title_canon_sha256":"b302d00ff903d74369b42b786a1ad54d7d54bc75def9710e813dec58fe894f80","abstract_canon_sha256":"766f6530344d73f44e209991cd4937b2162a889b372d9f56c32dfd9c3d4e1f3b"},"schema_version":"1.0"},"canonical_sha256":"886e6a8f0d76c89cd06cabd2201cbed721905904b1a5efd5635fbd4da2fac436","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:08.721355Z","signature_b64":"N9c9ljNSpypsVFo6xveu9bjPx+W8KmFZGc6xzR4IGB2rg4ZT/uqSEd4stTWv9PFtBeWs7MhcSOFQBBxg+s6tBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"886e6a8f0d76c89cd06cabd2201cbed721905904b1a5efd5635fbd4da2fac436","last_reissued_at":"2026-05-18T01:12:08.720877Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:08.720877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.00403","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LTIURnHVTMhy8toIqcK2zGJVR5nzneWLv9/70zcegcYRdraNSSFRf/LZVHziH/5/xQnSaAI28USoAPB6q+ZrAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T10:04:28.305979Z"},"content_sha256":"b6f5827cc5bd3f9384a78b591305291e11f3ab02d98b0968759ba14c34042e52","schema_version":"1.0","event_id":"sha256:b6f5827cc5bd3f9384a78b591305291e11f3ab02d98b0968759ba14c34042e52"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:RBXGVDYNO3EJZUDMVPJCAHF624","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classification of quantum groups and Belavin--Drinfeld cohomologies for orthogonal and symplectic Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Alexander Stolin, Boris Kadets, Eugene Karolinsky, Iulia Pop","submitted_at":"2015-02-02T08:59:59Z","abstract_excerpt":"In this paper we continue to study Belavin-Drinfeld cohomology introduced in arXiv:1303.4046 [math.QA] and related to the classification of quantum groups whose quasi-classical limit is a given simple complex Lie algebra. Here we compute Belavin-Drinfeld cohomology for all non-skewsymmetric $r$-matrices from the Belavin-Drinfeld list for simple Lie algebras of type $B$, $C$, and $D$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00403","kind":"arxiv","version":2},"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":"2026-05-18T01:12:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PE7kujMuZTp8g6R549mwcb24e7vdzRKywNgwOMuP7zUd1sbmJuHP+2k1LgXWzdzSNFmG4NbKqhR7/dZ8fEeCCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T10:04:28.306329Z"},"content_sha256":"f6f638670755ef249b20c92948886503c6adfcde394a31d0e8d8db545668e105","schema_version":"1.0","event_id":"sha256:f6f638670755ef249b20c92948886503c6adfcde394a31d0e8d8db545668e105"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RBXGVDYNO3EJZUDMVPJCAHF624/bundle.json","state_url":"https://pith.science/pith/RBXGVDYNO3EJZUDMVPJCAHF624/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RBXGVDYNO3EJZUDMVPJCAHF624/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":"2026-06-11T10:04:28Z","links":{"resolver":"https://pith.science/pith/RBXGVDYNO3EJZUDMVPJCAHF624","bundle":"https://pith.science/pith/RBXGVDYNO3EJZUDMVPJCAHF624/bundle.json","state":"https://pith.science/pith/RBXGVDYNO3EJZUDMVPJCAHF624/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RBXGVDYNO3EJZUDMVPJCAHF624/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RBXGVDYNO3EJZUDMVPJCAHF624","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":"766f6530344d73f44e209991cd4937b2162a889b372d9f56c32dfd9c3d4e1f3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-02-02T08:59:59Z","title_canon_sha256":"b302d00ff903d74369b42b786a1ad54d7d54bc75def9710e813dec58fe894f80"},"schema_version":"1.0","source":{"id":"1502.00403","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.00403","created_at":"2026-05-18T01:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"1502.00403v2","created_at":"2026-05-18T01:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00403","created_at":"2026-05-18T01:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"RBXGVDYNO3EJ","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RBXGVDYNO3EJZUDM","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RBXGVDYN","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:f6f638670755ef249b20c92948886503c6adfcde394a31d0e8d8db545668e105","target":"graph","created_at":"2026-05-18T01:12:08Z","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 continue to study Belavin-Drinfeld cohomology introduced in arXiv:1303.4046 [math.QA] and related to the classification of quantum groups whose quasi-classical limit is a given simple complex Lie algebra. Here we compute Belavin-Drinfeld cohomology for all non-skewsymmetric $r$-matrices from the Belavin-Drinfeld list for simple Lie algebras of type $B$, $C$, and $D$.","authors_text":"Alexander Stolin, Boris Kadets, Eugene Karolinsky, Iulia Pop","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-02-02T08:59:59Z","title":"Classification of quantum groups and Belavin--Drinfeld cohomologies for orthogonal and symplectic Lie algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00403","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:b6f5827cc5bd3f9384a78b591305291e11f3ab02d98b0968759ba14c34042e52","target":"record","created_at":"2026-05-18T01:12:08Z","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":"766f6530344d73f44e209991cd4937b2162a889b372d9f56c32dfd9c3d4e1f3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-02-02T08:59:59Z","title_canon_sha256":"b302d00ff903d74369b42b786a1ad54d7d54bc75def9710e813dec58fe894f80"},"schema_version":"1.0","source":{"id":"1502.00403","kind":"arxiv","version":2}},"canonical_sha256":"886e6a8f0d76c89cd06cabd2201cbed721905904b1a5efd5635fbd4da2fac436","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"886e6a8f0d76c89cd06cabd2201cbed721905904b1a5efd5635fbd4da2fac436","first_computed_at":"2026-05-18T01:12:08.720877Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:08.720877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N9c9ljNSpypsVFo6xveu9bjPx+W8KmFZGc6xzR4IGB2rg4ZT/uqSEd4stTWv9PFtBeWs7MhcSOFQBBxg+s6tBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:08.721355Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.00403","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6f5827cc5bd3f9384a78b591305291e11f3ab02d98b0968759ba14c34042e52","sha256:f6f638670755ef249b20c92948886503c6adfcde394a31d0e8d8db545668e105"],"state_sha256":"45bd37dd2c3dc3ebc521308cd83e2d7fc2eb7ffe0c3bde7cdcf52145f789c017"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K6rC2QjHmlpl1t4Pr78TYxfPll9/cTh/OPCsSosVZjhWKjsZ/t49F0zP73Z0aego/pCijGbKKqx7BEyE+rPIBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T10:04:28.308203Z","bundle_sha256":"43619788f65d138eee5c05f86717107e7adf8efb8d37849cfd8df8c88d14df8d"}}