{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:2WXTVFA73GOKO3QLUEP6MVPEBU","short_pith_number":"pith:2WXTVFA7","canonical_record":{"source":{"id":"1011.5698","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-11-26T03:04:08Z","cross_cats_sorted":[],"title_canon_sha256":"3e1a3f364044635360fee9fdbea478428e022e92cb3a4c8a39e3e3d616b3cc18","abstract_canon_sha256":"af219564d87108185578e471522ef55bb7d757ec4b5fb4395f8fdcb22f553d07"},"schema_version":"1.0"},"canonical_sha256":"d5af3a941fd99ca76e0ba11fe655e40d326f1794206d03165922e9548c125799","source":{"kind":"arxiv","id":"1011.5698","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.5698","created_at":"2026-05-18T04:31:21Z"},{"alias_kind":"arxiv_version","alias_value":"1011.5698v2","created_at":"2026-05-18T04:31:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.5698","created_at":"2026-05-18T04:31:21Z"},{"alias_kind":"pith_short_12","alias_value":"2WXTVFA73GOK","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2WXTVFA73GOKO3QL","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2WXTVFA7","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:2WXTVFA73GOKO3QLUEP6MVPEBU","target":"record","payload":{"canonical_record":{"source":{"id":"1011.5698","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-11-26T03:04:08Z","cross_cats_sorted":[],"title_canon_sha256":"3e1a3f364044635360fee9fdbea478428e022e92cb3a4c8a39e3e3d616b3cc18","abstract_canon_sha256":"af219564d87108185578e471522ef55bb7d757ec4b5fb4395f8fdcb22f553d07"},"schema_version":"1.0"},"canonical_sha256":"d5af3a941fd99ca76e0ba11fe655e40d326f1794206d03165922e9548c125799","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:31:21.376953Z","signature_b64":"qJxcHGU8mH23Ae4pxKFUfan6xPRcxzHqfQUEE+ACYaKY17EEG8QYV97kppstja/jbor3oeZ3hL7o+saBj34DBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5af3a941fd99ca76e0ba11fe655e40d326f1794206d03165922e9548c125799","last_reissued_at":"2026-05-18T04:31:21.376431Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:31:21.376431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.5698","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":"2026-05-18T04:31:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nZHJB+uhb5iV7GNoNYOYzV6E4rZv1E0aecj8qQbNZG5saMuDs3VVoYFj32rz3voVu8WsXdPVvvGScs48GeVaAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T02:18:14.720050Z"},"content_sha256":"18277e07dce408e962a2b4c1bb8da3d21c34ad5a0eac44b4cfb92040eb4fa2c9","schema_version":"1.0","event_id":"sha256:18277e07dce408e962a2b4c1bb8da3d21c34ad5a0eac44b4cfb92040eb4fa2c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:2WXTVFA73GOKO3QLUEP6MVPEBU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A comment on the integration of Leibniz algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Jacob Mostovoy","submitted_at":"2010-11-26T03:04:08Z","abstract_excerpt":"In this note we point out that the definition of the universal enveloping dialgebra for a Leibniz algebra is consistent with the interpretation of a Leibniz algebra as a generalization not of a Lie algebra, but of the adjoint representation of a Lie algebra. From this point of view, the formal integration problem of Leibniz algebras is, essentially, trivial."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.5698","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":"2026-05-18T04:31:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lMKLjIM3loANsMgHGyhUBfINePpQpP7HdT02M9PcZK0Y5RNRAlnT67Osk0iNENjWtaa23RdRk4j99COe2TuEAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T02:18:14.720424Z"},"content_sha256":"8c33bc6e4678c8090ecaca9b5e903afd9d3d1aeae4f2eee5ac0611b97ee23153","schema_version":"1.0","event_id":"sha256:8c33bc6e4678c8090ecaca9b5e903afd9d3d1aeae4f2eee5ac0611b97ee23153"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2WXTVFA73GOKO3QLUEP6MVPEBU/bundle.json","state_url":"https://pith.science/pith/2WXTVFA73GOKO3QLUEP6MVPEBU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2WXTVFA73GOKO3QLUEP6MVPEBU/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":"2026-06-23T02:18:14Z","links":{"resolver":"https://pith.science/pith/2WXTVFA73GOKO3QLUEP6MVPEBU","bundle":"https://pith.science/pith/2WXTVFA73GOKO3QLUEP6MVPEBU/bundle.json","state":"https://pith.science/pith/2WXTVFA73GOKO3QLUEP6MVPEBU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2WXTVFA73GOKO3QLUEP6MVPEBU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2WXTVFA73GOKO3QLUEP6MVPEBU","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":"af219564d87108185578e471522ef55bb7d757ec4b5fb4395f8fdcb22f553d07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-11-26T03:04:08Z","title_canon_sha256":"3e1a3f364044635360fee9fdbea478428e022e92cb3a4c8a39e3e3d616b3cc18"},"schema_version":"1.0","source":{"id":"1011.5698","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.5698","created_at":"2026-05-18T04:31:21Z"},{"alias_kind":"arxiv_version","alias_value":"1011.5698v2","created_at":"2026-05-18T04:31:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.5698","created_at":"2026-05-18T04:31:21Z"},{"alias_kind":"pith_short_12","alias_value":"2WXTVFA73GOK","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2WXTVFA73GOKO3QL","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2WXTVFA7","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:8c33bc6e4678c8090ecaca9b5e903afd9d3d1aeae4f2eee5ac0611b97ee23153","target":"graph","created_at":"2026-05-18T04:31:21Z","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 note we point out that the definition of the universal enveloping dialgebra for a Leibniz algebra is consistent with the interpretation of a Leibniz algebra as a generalization not of a Lie algebra, but of the adjoint representation of a Lie algebra. From this point of view, the formal integration problem of Leibniz algebras is, essentially, trivial.","authors_text":"Jacob Mostovoy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-11-26T03:04:08Z","title":"A comment on the integration of Leibniz algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.5698","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":"sha256:18277e07dce408e962a2b4c1bb8da3d21c34ad5a0eac44b4cfb92040eb4fa2c9","target":"record","created_at":"2026-05-18T04:31:21Z","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":"af219564d87108185578e471522ef55bb7d757ec4b5fb4395f8fdcb22f553d07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-11-26T03:04:08Z","title_canon_sha256":"3e1a3f364044635360fee9fdbea478428e022e92cb3a4c8a39e3e3d616b3cc18"},"schema_version":"1.0","source":{"id":"1011.5698","kind":"arxiv","version":2}},"canonical_sha256":"d5af3a941fd99ca76e0ba11fe655e40d326f1794206d03165922e9548c125799","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5af3a941fd99ca76e0ba11fe655e40d326f1794206d03165922e9548c125799","first_computed_at":"2026-05-18T04:31:21.376431Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:31:21.376431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qJxcHGU8mH23Ae4pxKFUfan6xPRcxzHqfQUEE+ACYaKY17EEG8QYV97kppstja/jbor3oeZ3hL7o+saBj34DBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:31:21.376953Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.5698","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18277e07dce408e962a2b4c1bb8da3d21c34ad5a0eac44b4cfb92040eb4fa2c9","sha256:8c33bc6e4678c8090ecaca9b5e903afd9d3d1aeae4f2eee5ac0611b97ee23153"],"state_sha256":"f202a56baec6269944e0061d704c8c5049c10deba8e5fc748aaa8ab8189b9c66"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"avH7wvCDq8zPH2zoiRvVXyOXMg9iDN5BN8eJlPGkuhwiWvSkYRBQIQgFhMj0haUx2hSr0MAZ7kvP/bYC3XJ7CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T02:18:14.722365Z","bundle_sha256":"522b9fa9a436e62369108106ec74bda9425ede78d7e106b447c7fa110727e4a0"}}