{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:A2ZEBNN6Z7Z5BCIV6DABWVGKZB","short_pith_number":"pith:A2ZEBNN6","canonical_record":{"source":{"id":"1502.02770","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-02-10T03:49:34Z","cross_cats_sorted":["math-ph","math.MP","math.RA"],"title_canon_sha256":"63817a8df42caff36ef3cb8e4238294653211fa348715ab568b3f85b6e43dacc","abstract_canon_sha256":"143262aac399dfbacdb718ad509b221a9b407c0c180a6102169db68e0b019d27"},"schema_version":"1.0"},"canonical_sha256":"06b240b5becff3d08915f0c01b54cac856edc305de9ba86511c0d0e26b8c3738","source":{"kind":"arxiv","id":"1502.02770","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.02770","created_at":"2026-07-05T00:11:28Z"},{"alias_kind":"arxiv_version","alias_value":"1502.02770v5","created_at":"2026-07-05T00:11:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02770","created_at":"2026-07-05T00:11:28Z"},{"alias_kind":"pith_short_12","alias_value":"A2ZEBNN6Z7Z5","created_at":"2026-07-05T00:11:28Z"},{"alias_kind":"pith_short_16","alias_value":"A2ZEBNN6Z7Z5BCIV","created_at":"2026-07-05T00:11:28Z"},{"alias_kind":"pith_short_8","alias_value":"A2ZEBNN6","created_at":"2026-07-05T00:11:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:A2ZEBNN6Z7Z5BCIV6DABWVGKZB","target":"record","payload":{"canonical_record":{"source":{"id":"1502.02770","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-02-10T03:49:34Z","cross_cats_sorted":["math-ph","math.MP","math.RA"],"title_canon_sha256":"63817a8df42caff36ef3cb8e4238294653211fa348715ab568b3f85b6e43dacc","abstract_canon_sha256":"143262aac399dfbacdb718ad509b221a9b407c0c180a6102169db68e0b019d27"},"schema_version":"1.0"},"canonical_sha256":"06b240b5becff3d08915f0c01b54cac856edc305de9ba86511c0d0e26b8c3738","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:11:28.530434Z","signature_b64":"6y4XFs7scyVEZ7nKyqARxVkxCgnYgzGJTHIGTzwmlBXjfwswqKWK6WfUgSIdSr2YeUYbh//N8UOv564dvnQFBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06b240b5becff3d08915f0c01b54cac856edc305de9ba86511c0d0e26b8c3738","last_reissued_at":"2026-07-05T00:11:28.529927Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:11:28.529927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.02770","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:11:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u/Kdc+G0PjrocR8wZ6XUlE4sggnA2wHKHHguW0YIQpANBbH7hTqbmabAZdUI4WLsNedLvL3pF2YmQIcj65X3Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T10:32:03.159876Z"},"content_sha256":"44dc1363445970de8a6b94b410ddd07ef282295dc80ec11d7e2b38e0f483b56e","schema_version":"1.0","event_id":"sha256:44dc1363445970de8a6b94b410ddd07ef282295dc80ec11d7e2b38e0f483b56e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:A2ZEBNN6Z7Z5BCIV6DABWVGKZB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Central extensions and conformal derivations of a class of Lie conformal algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RA"],"primary_cat":"math.QA","authors_text":"Yanyong Hong","submitted_at":"2015-02-10T03:49:34Z","abstract_excerpt":"A quadratic Lie conformal algebra corresponds to a Hamiltonian pair in \\cite{GD}, which plays fundamental roles in completely integrable systems. Moreover, it also corresponds to certain compatible pairs of a Lie algebra and a Novikov algebra which was called Gel'fand-Dorfman bialgebra by Xu in \\cite{X1}. In this paper, central extensions and conformal derivations of quadratic Lie conformal algebras are studied in terms of Gel'fand-Dorfman bialgebras. It is shown that central extensions and conformal derivations of a quadratic Lie conformal algebra are related with some bilinear forms and some"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02770","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1502.02770/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:11:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/0pOGA9a1y86NOCz9EGsBU5uXa9RFjgmRnuKzYZ+gN7GPQ8z+nqSmmYsz1OyVmbX6xySbXfLxWEeTt4PYcJhDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T10:32:03.160466Z"},"content_sha256":"b90fbc00e67398cf80856ed914fb489d9781ef7d2ca7ce8c87d7868838106dcd","schema_version":"1.0","event_id":"sha256:b90fbc00e67398cf80856ed914fb489d9781ef7d2ca7ce8c87d7868838106dcd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A2ZEBNN6Z7Z5BCIV6DABWVGKZB/bundle.json","state_url":"https://pith.science/pith/A2ZEBNN6Z7Z5BCIV6DABWVGKZB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A2ZEBNN6Z7Z5BCIV6DABWVGKZB/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":"2026-08-06T10:32:03Z","links":{"resolver":"https://pith.science/pith/A2ZEBNN6Z7Z5BCIV6DABWVGKZB","bundle":"https://pith.science/pith/A2ZEBNN6Z7Z5BCIV6DABWVGKZB/bundle.json","state":"https://pith.science/pith/A2ZEBNN6Z7Z5BCIV6DABWVGKZB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A2ZEBNN6Z7Z5BCIV6DABWVGKZB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:A2ZEBNN6Z7Z5BCIV6DABWVGKZB","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":"143262aac399dfbacdb718ad509b221a9b407c0c180a6102169db68e0b019d27","cross_cats_sorted":["math-ph","math.MP","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-02-10T03:49:34Z","title_canon_sha256":"63817a8df42caff36ef3cb8e4238294653211fa348715ab568b3f85b6e43dacc"},"schema_version":"1.0","source":{"id":"1502.02770","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.02770","created_at":"2026-07-05T00:11:28Z"},{"alias_kind":"arxiv_version","alias_value":"1502.02770v5","created_at":"2026-07-05T00:11:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02770","created_at":"2026-07-05T00:11:28Z"},{"alias_kind":"pith_short_12","alias_value":"A2ZEBNN6Z7Z5","created_at":"2026-07-05T00:11:28Z"},{"alias_kind":"pith_short_16","alias_value":"A2ZEBNN6Z7Z5BCIV","created_at":"2026-07-05T00:11:28Z"},{"alias_kind":"pith_short_8","alias_value":"A2ZEBNN6","created_at":"2026-07-05T00:11:28Z"}],"graph_snapshots":[{"event_id":"sha256:b90fbc00e67398cf80856ed914fb489d9781ef7d2ca7ce8c87d7868838106dcd","target":"graph","created_at":"2026-07-05T00:11:28Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1502.02770/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A quadratic Lie conformal algebra corresponds to a Hamiltonian pair in \\cite{GD}, which plays fundamental roles in completely integrable systems. Moreover, it also corresponds to certain compatible pairs of a Lie algebra and a Novikov algebra which was called Gel'fand-Dorfman bialgebra by Xu in \\cite{X1}. In this paper, central extensions and conformal derivations of quadratic Lie conformal algebras are studied in terms of Gel'fand-Dorfman bialgebras. It is shown that central extensions and conformal derivations of a quadratic Lie conformal algebra are related with some bilinear forms and some","authors_text":"Yanyong Hong","cross_cats":["math-ph","math.MP","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-02-10T03:49:34Z","title":"Central extensions and conformal derivations of a class of Lie conformal algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02770","kind":"arxiv","version":5},"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":"sha256:44dc1363445970de8a6b94b410ddd07ef282295dc80ec11d7e2b38e0f483b56e","target":"record","created_at":"2026-07-05T00:11:28Z","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":"143262aac399dfbacdb718ad509b221a9b407c0c180a6102169db68e0b019d27","cross_cats_sorted":["math-ph","math.MP","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-02-10T03:49:34Z","title_canon_sha256":"63817a8df42caff36ef3cb8e4238294653211fa348715ab568b3f85b6e43dacc"},"schema_version":"1.0","source":{"id":"1502.02770","kind":"arxiv","version":5}},"canonical_sha256":"06b240b5becff3d08915f0c01b54cac856edc305de9ba86511c0d0e26b8c3738","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06b240b5becff3d08915f0c01b54cac856edc305de9ba86511c0d0e26b8c3738","first_computed_at":"2026-07-05T00:11:28.529927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:11:28.529927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6y4XFs7scyVEZ7nKyqARxVkxCgnYgzGJTHIGTzwmlBXjfwswqKWK6WfUgSIdSr2YeUYbh//N8UOv564dvnQFBg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:11:28.530434Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.02770","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44dc1363445970de8a6b94b410ddd07ef282295dc80ec11d7e2b38e0f483b56e","sha256:b90fbc00e67398cf80856ed914fb489d9781ef7d2ca7ce8c87d7868838106dcd"],"state_sha256":"26d6a0cce225664f32d2d0ebe91349043f9c23ae80457935934624b7290db7a1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+1EcIwEkvVe90XFP3SRJSVdP3KZnqbuArs0nmgjv1NbYLab8XesVwi+E+6pRPJBrO9E0BH7huddFJI8UcaPWBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T10:32:03.164175Z","bundle_sha256":"7598395f531c20d11d57477aec3851b7307699757486de650b6d317cc73a1bd1"}}