{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:5MVHNTMQXKPOV3NXJT5OORVOBL","short_pith_number":"pith:5MVHNTMQ","canonical_record":{"source":{"id":"0807.1820","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-07-11T10:53:08Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"540567ef5bdbcb656116c217200695a542a2d3768bbc0fad56011af2ea6b0980","abstract_canon_sha256":"f188eadb35bc6063f70424e61f034272730eafdf855342ea4e59d7770884f3fa"},"schema_version":"1.0"},"canonical_sha256":"eb2a76cd90ba9eeaedb74cfae746ae0afcdbb4e32658a9382d61b5612d4dc26d","source":{"kind":"arxiv","id":"0807.1820","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0807.1820","created_at":"2026-05-18T02:35:15Z"},{"alias_kind":"arxiv_version","alias_value":"0807.1820v1","created_at":"2026-05-18T02:35:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.1820","created_at":"2026-05-18T02:35:15Z"},{"alias_kind":"pith_short_12","alias_value":"5MVHNTMQXKPO","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"5MVHNTMQXKPOV3NX","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"5MVHNTMQ","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:5MVHNTMQXKPOV3NXJT5OORVOBL","target":"record","payload":{"canonical_record":{"source":{"id":"0807.1820","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-07-11T10:53:08Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"540567ef5bdbcb656116c217200695a542a2d3768bbc0fad56011af2ea6b0980","abstract_canon_sha256":"f188eadb35bc6063f70424e61f034272730eafdf855342ea4e59d7770884f3fa"},"schema_version":"1.0"},"canonical_sha256":"eb2a76cd90ba9eeaedb74cfae746ae0afcdbb4e32658a9382d61b5612d4dc26d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:15.586815Z","signature_b64":"/QjwfAEijDLj6V/Cif1b+kRGWPrEKZ1uf+93F/eZeGOS3SD3VsF4OHBqrnv5oxRJrq9orZWaG94W0uE3rCYgCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb2a76cd90ba9eeaedb74cfae746ae0afcdbb4e32658a9382d61b5612d4dc26d","last_reissued_at":"2026-05-18T02:35:15.586264Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:15.586264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0807.1820","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":"2026-05-18T02:35:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QXgX5D6hnvCWTeqAc3PmtReqDwD71HTcdIJYtMMU//L/GeGxIMDbW9sL1mY5GVCnwEkLAGxpaWmlhYsMfQYJAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T21:20:19.354521Z"},"content_sha256":"f2f44c916de37d449c86bfde15fd4c5517e6e63cdde32c0e3a673a102f7e5b29","schema_version":"1.0","event_id":"sha256:f2f44c916de37d449c86bfde15fd4c5517e6e63cdde32c0e3a673a102f7e5b29"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:5MVHNTMQXKPOV3NXJT5OORVOBL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"BRST charges for finite nonlinear algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"A.P.Isaev, O.V.Ogievetsky, S.O.Krivonos","submitted_at":"2008-07-11T10:53:08Z","abstract_excerpt":"Some ingredients of the BRST construction for quantum Lie algebras are applied to a wider class of quadratic algebras of constraints. We build the BRST charge for a quantum Lie algebra with three generators and ghost-anti-ghosts commuting with constraints. We consider a one-parametric family of quadratic algebras with three generators and show that the BRST charge acquires the conventional form after a redefinition of ghosts. The modified ghosts form a quadratic algebra. The family possesses a non-linear involution, which implies the existence of two independent BRST charges for each algebra i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.1820","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":"2026-05-18T02:35:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4lUVHXWwfkqTT1vEoRVB7cUcjtOPxHi9ogAjrMgyMRNH0SPxHnsW3WTeNJ8FrHHLRH0f3VsxpJ/bs/u/lvwJBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T21:20:19.354883Z"},"content_sha256":"a5fe593efe17750acb56d4c849eb39014bd43c119713cba879da8c15c2df7e1c","schema_version":"1.0","event_id":"sha256:a5fe593efe17750acb56d4c849eb39014bd43c119713cba879da8c15c2df7e1c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5MVHNTMQXKPOV3NXJT5OORVOBL/bundle.json","state_url":"https://pith.science/pith/5MVHNTMQXKPOV3NXJT5OORVOBL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5MVHNTMQXKPOV3NXJT5OORVOBL/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":"2026-06-10T21:20:19Z","links":{"resolver":"https://pith.science/pith/5MVHNTMQXKPOV3NXJT5OORVOBL","bundle":"https://pith.science/pith/5MVHNTMQXKPOV3NXJT5OORVOBL/bundle.json","state":"https://pith.science/pith/5MVHNTMQXKPOV3NXJT5OORVOBL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5MVHNTMQXKPOV3NXJT5OORVOBL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:5MVHNTMQXKPOV3NXJT5OORVOBL","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":"f188eadb35bc6063f70424e61f034272730eafdf855342ea4e59d7770884f3fa","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-07-11T10:53:08Z","title_canon_sha256":"540567ef5bdbcb656116c217200695a542a2d3768bbc0fad56011af2ea6b0980"},"schema_version":"1.0","source":{"id":"0807.1820","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0807.1820","created_at":"2026-05-18T02:35:15Z"},{"alias_kind":"arxiv_version","alias_value":"0807.1820v1","created_at":"2026-05-18T02:35:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.1820","created_at":"2026-05-18T02:35:15Z"},{"alias_kind":"pith_short_12","alias_value":"5MVHNTMQXKPO","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"5MVHNTMQXKPOV3NX","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"5MVHNTMQ","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:a5fe593efe17750acb56d4c849eb39014bd43c119713cba879da8c15c2df7e1c","target":"graph","created_at":"2026-05-18T02:35:15Z","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":"Some ingredients of the BRST construction for quantum Lie algebras are applied to a wider class of quadratic algebras of constraints. We build the BRST charge for a quantum Lie algebra with three generators and ghost-anti-ghosts commuting with constraints. We consider a one-parametric family of quadratic algebras with three generators and show that the BRST charge acquires the conventional form after a redefinition of ghosts. The modified ghosts form a quadratic algebra. The family possesses a non-linear involution, which implies the existence of two independent BRST charges for each algebra i","authors_text":"A.P.Isaev, O.V.Ogievetsky, S.O.Krivonos","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-07-11T10:53:08Z","title":"BRST charges for finite nonlinear algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.1820","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:f2f44c916de37d449c86bfde15fd4c5517e6e63cdde32c0e3a673a102f7e5b29","target":"record","created_at":"2026-05-18T02:35:15Z","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":"f188eadb35bc6063f70424e61f034272730eafdf855342ea4e59d7770884f3fa","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-07-11T10:53:08Z","title_canon_sha256":"540567ef5bdbcb656116c217200695a542a2d3768bbc0fad56011af2ea6b0980"},"schema_version":"1.0","source":{"id":"0807.1820","kind":"arxiv","version":1}},"canonical_sha256":"eb2a76cd90ba9eeaedb74cfae746ae0afcdbb4e32658a9382d61b5612d4dc26d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb2a76cd90ba9eeaedb74cfae746ae0afcdbb4e32658a9382d61b5612d4dc26d","first_computed_at":"2026-05-18T02:35:15.586264Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:15.586264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/QjwfAEijDLj6V/Cif1b+kRGWPrEKZ1uf+93F/eZeGOS3SD3VsF4OHBqrnv5oxRJrq9orZWaG94W0uE3rCYgCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:15.586815Z","signed_message":"canonical_sha256_bytes"},"source_id":"0807.1820","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2f44c916de37d449c86bfde15fd4c5517e6e63cdde32c0e3a673a102f7e5b29","sha256:a5fe593efe17750acb56d4c849eb39014bd43c119713cba879da8c15c2df7e1c"],"state_sha256":"7050fe14ff7fc1f2af1bc2e229baef54dac6554eaa93720fba5e52aca3cf7083"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ugXMQ6iMVso3v3SJT+AZ//jYl7aOzarWLSqtSt2eaGFDlDKEHqVxGfl8bTyFW2oi63pPj8zyKHdQIGf0luggBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T21:20:19.356795Z","bundle_sha256":"2e80ef515c91011522142f31640fafcf30e83aba5dc278df53f517de3eaaf415"}}