{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:MZHX6OXPDLFSDW7FVLZPCAAMXS","short_pith_number":"pith:MZHX6OXP","canonical_record":{"source":{"id":"1412.4367","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-12-14T15:11:21Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"5237f8ba35d5b27bb6d41e58b9d2c8aea46762676165d8d029ea95bf1be6842d","abstract_canon_sha256":"47328dbd6b7daf227ddb4f354a3db1f7d7e9d54bc3d566d27f8d78e8dabd9e7d"},"schema_version":"1.0"},"canonical_sha256":"664f7f3aef1acb21dbe5aaf2f1000cbca6534bb03ef671d92b4a3579e153c1d7","source":{"kind":"arxiv","id":"1412.4367","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.4367","created_at":"2026-05-18T02:31:19Z"},{"alias_kind":"arxiv_version","alias_value":"1412.4367v1","created_at":"2026-05-18T02:31:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4367","created_at":"2026-05-18T02:31:19Z"},{"alias_kind":"pith_short_12","alias_value":"MZHX6OXPDLFS","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"MZHX6OXPDLFSDW7F","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"MZHX6OXP","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:MZHX6OXPDLFSDW7FVLZPCAAMXS","target":"record","payload":{"canonical_record":{"source":{"id":"1412.4367","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-12-14T15:11:21Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"5237f8ba35d5b27bb6d41e58b9d2c8aea46762676165d8d029ea95bf1be6842d","abstract_canon_sha256":"47328dbd6b7daf227ddb4f354a3db1f7d7e9d54bc3d566d27f8d78e8dabd9e7d"},"schema_version":"1.0"},"canonical_sha256":"664f7f3aef1acb21dbe5aaf2f1000cbca6534bb03ef671d92b4a3579e153c1d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:19.423827Z","signature_b64":"pT69cqgcEeA7/DhRHUK3bgtdyJCPQqOoM3odwn3qW5QfEmicZKxykCmfL+L9rAluG8HK5dpOuBUoIJAv19dJAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"664f7f3aef1acb21dbe5aaf2f1000cbca6534bb03ef671d92b4a3579e153c1d7","last_reissued_at":"2026-05-18T02:31:19.423369Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:19.423369Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.4367","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":"2026-05-18T02:31:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4k6pvDggQF3dzkXppuItjX1u4xSxq/DU54wgkVbH+QX1CQqyZzooJN40OX6v8K8MOluIsrPWPSu/pR7/T+knAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T00:21:57.168948Z"},"content_sha256":"50985c2fd46995ca260a3afab81846709d0c4bae3664bce6af42c4bf77b7b3ea","schema_version":"1.0","event_id":"sha256:50985c2fd46995ca260a3afab81846709d0c4bae3664bce6af42c4bf77b7b3ea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:MZHX6OXPDLFSDW7FVLZPCAAMXS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On derivations of semisimple Leibniz algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.RA","authors_text":"B.A. Omirov, I.S. Rakhimov, K.K. Masutova","submitted_at":"2014-12-14T15:11:21Z","abstract_excerpt":"In the paper we describe derivations of some classes of Leibniz algebras. It is shown that any derivation of a simple Leibniz algebra can be written as a combination of three derivations. Two of these ingredients are a Lie algebra derivations and the third one can be explicitly described. Then we show that the similar description can found as well as for a subclass of semisimple Leibniz algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4367","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":"2026-05-18T02:31:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4+24nYwxBypwa5Ftr2PH/qHP3Ni0aV1fgw+l40qd7lz1RThDH1ML8icsrGd3K5GkrgLkduYxsg3SNGF4VcbhBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T00:21:57.169294Z"},"content_sha256":"a6906c1dd75a2f573c9bb83f474b617a3d55a1e4e1dfa8ba8b9248a5af34cdc5","schema_version":"1.0","event_id":"sha256:a6906c1dd75a2f573c9bb83f474b617a3d55a1e4e1dfa8ba8b9248a5af34cdc5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MZHX6OXPDLFSDW7FVLZPCAAMXS/bundle.json","state_url":"https://pith.science/pith/MZHX6OXPDLFSDW7FVLZPCAAMXS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MZHX6OXPDLFSDW7FVLZPCAAMXS/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":"2026-06-24T00:21:57Z","links":{"resolver":"https://pith.science/pith/MZHX6OXPDLFSDW7FVLZPCAAMXS","bundle":"https://pith.science/pith/MZHX6OXPDLFSDW7FVLZPCAAMXS/bundle.json","state":"https://pith.science/pith/MZHX6OXPDLFSDW7FVLZPCAAMXS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MZHX6OXPDLFSDW7FVLZPCAAMXS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MZHX6OXPDLFSDW7FVLZPCAAMXS","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":"47328dbd6b7daf227ddb4f354a3db1f7d7e9d54bc3d566d27f8d78e8dabd9e7d","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-12-14T15:11:21Z","title_canon_sha256":"5237f8ba35d5b27bb6d41e58b9d2c8aea46762676165d8d029ea95bf1be6842d"},"schema_version":"1.0","source":{"id":"1412.4367","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.4367","created_at":"2026-05-18T02:31:19Z"},{"alias_kind":"arxiv_version","alias_value":"1412.4367v1","created_at":"2026-05-18T02:31:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4367","created_at":"2026-05-18T02:31:19Z"},{"alias_kind":"pith_short_12","alias_value":"MZHX6OXPDLFS","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"MZHX6OXPDLFSDW7F","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"MZHX6OXP","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:a6906c1dd75a2f573c9bb83f474b617a3d55a1e4e1dfa8ba8b9248a5af34cdc5","target":"graph","created_at":"2026-05-18T02:31:19Z","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 the paper we describe derivations of some classes of Leibniz algebras. It is shown that any derivation of a simple Leibniz algebra can be written as a combination of three derivations. Two of these ingredients are a Lie algebra derivations and the third one can be explicitly described. Then we show that the similar description can found as well as for a subclass of semisimple Leibniz algebras.","authors_text":"B.A. Omirov, I.S. Rakhimov, K.K. Masutova","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-12-14T15:11:21Z","title":"On derivations of semisimple Leibniz algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4367","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":"sha256:50985c2fd46995ca260a3afab81846709d0c4bae3664bce6af42c4bf77b7b3ea","target":"record","created_at":"2026-05-18T02:31:19Z","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":"47328dbd6b7daf227ddb4f354a3db1f7d7e9d54bc3d566d27f8d78e8dabd9e7d","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-12-14T15:11:21Z","title_canon_sha256":"5237f8ba35d5b27bb6d41e58b9d2c8aea46762676165d8d029ea95bf1be6842d"},"schema_version":"1.0","source":{"id":"1412.4367","kind":"arxiv","version":1}},"canonical_sha256":"664f7f3aef1acb21dbe5aaf2f1000cbca6534bb03ef671d92b4a3579e153c1d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"664f7f3aef1acb21dbe5aaf2f1000cbca6534bb03ef671d92b4a3579e153c1d7","first_computed_at":"2026-05-18T02:31:19.423369Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:19.423369Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pT69cqgcEeA7/DhRHUK3bgtdyJCPQqOoM3odwn3qW5QfEmicZKxykCmfL+L9rAluG8HK5dpOuBUoIJAv19dJAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:19.423827Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.4367","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50985c2fd46995ca260a3afab81846709d0c4bae3664bce6af42c4bf77b7b3ea","sha256:a6906c1dd75a2f573c9bb83f474b617a3d55a1e4e1dfa8ba8b9248a5af34cdc5"],"state_sha256":"a3cc608fa00aa3add283977a2278bc0563a99538211e883bab4599a3873c5ef0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tG2c36RM9zRQywZWKhNxQiZZU32AaHWML6rP5kQb+HpnATLjzqpkXObykUAmNZDR7RcflhhyPaUH7lOIiuF4Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T00:21:57.171326Z","bundle_sha256":"ed69a1b0b57c97e13c37b17b65e03dbd01b36e9331a9777f49dd6abb8d12a895"}}