{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:NLPODNXJQOQ6NNJ4MBL3D5QPQM","short_pith_number":"pith:NLPODNXJ","canonical_record":{"source":{"id":"1609.05196","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-09-16T19:48:44Z","cross_cats_sorted":[],"title_canon_sha256":"a67de6de1903d4d3871f92bcde5f68227e398098480dbc7de1d57c6e5fb8a744","abstract_canon_sha256":"66b5d0dc66eb9d999ca3092fd564be532e67a7e708500768b621cca25e2d50a8"},"schema_version":"1.0"},"canonical_sha256":"6adee1b6e983a1e6b53c6057b1f60f830c774917ab7f886b399fb4fe235f1225","source":{"kind":"arxiv","id":"1609.05196","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.05196","created_at":"2026-05-17T23:41:02Z"},{"alias_kind":"arxiv_version","alias_value":"1609.05196v3","created_at":"2026-05-17T23:41:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.05196","created_at":"2026-05-17T23:41:02Z"},{"alias_kind":"pith_short_12","alias_value":"NLPODNXJQOQ6","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"NLPODNXJQOQ6NNJ4","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"NLPODNXJ","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:NLPODNXJQOQ6NNJ4MBL3D5QPQM","target":"record","payload":{"canonical_record":{"source":{"id":"1609.05196","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-09-16T19:48:44Z","cross_cats_sorted":[],"title_canon_sha256":"a67de6de1903d4d3871f92bcde5f68227e398098480dbc7de1d57c6e5fb8a744","abstract_canon_sha256":"66b5d0dc66eb9d999ca3092fd564be532e67a7e708500768b621cca25e2d50a8"},"schema_version":"1.0"},"canonical_sha256":"6adee1b6e983a1e6b53c6057b1f60f830c774917ab7f886b399fb4fe235f1225","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:02.445154Z","signature_b64":"V4SdJ0YKMQTsYlOjyZ9jMfMg1NRudb3g6tJHPAYRuQFUg+EvkcZHTFphCD2NwJmh0wCB8rt6kt1Qis3eJWWcDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6adee1b6e983a1e6b53c6057b1f60f830c774917ab7f886b399fb4fe235f1225","last_reissued_at":"2026-05-17T23:41:02.444478Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:02.444478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.05196","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:41:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o6pnMnQPweMIB19lzbjF5WQShy9IVOpgMq0Vnod2TA+KrbuPw1dnkP1fG5kcAdroGk8Y5fgVpkipgZryvpFQDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T15:21:31.971246Z"},"content_sha256":"1b849da3769df4dba71158f8cb79923a388f0e793fae2a6011ed1eab95fdef4c","schema_version":"1.0","event_id":"sha256:1b849da3769df4dba71158f8cb79923a388f0e793fae2a6011ed1eab95fdef4c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:NLPODNXJQOQ6NNJ4MBL3D5QPQM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Jordan-Lie inner ideals of finite dimensional associative algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Alexander Baranov, Hasan Shlaka","submitted_at":"2016-09-16T19:48:44Z","abstract_excerpt":"We study Jordan-Lie inner ideals of finite dimensional associative algebras and the corresponding Lie algebras and prove that they admit Levi decompositions. Moreover, we classify Jordan-Lie inner ideals satisfying a certain minimality condition and show that they are generated by pairs of idempotents."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.05196","kind":"arxiv","version":3},"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":"2026-05-17T23:41:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5BFgLpvbtLNJalnvrGGts47Z3updp7AGIVBFe+nStOPGgTqg9Cjgi8KNDtxBDD0W+yghuSOvBI+hY94WsBANBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T15:21:31.971984Z"},"content_sha256":"b79aa976a2b44ca250913c0ef223babc39cbedb33ffd294569ac08f92616a1c5","schema_version":"1.0","event_id":"sha256:b79aa976a2b44ca250913c0ef223babc39cbedb33ffd294569ac08f92616a1c5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NLPODNXJQOQ6NNJ4MBL3D5QPQM/bundle.json","state_url":"https://pith.science/pith/NLPODNXJQOQ6NNJ4MBL3D5QPQM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NLPODNXJQOQ6NNJ4MBL3D5QPQM/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":"2026-06-11T15:21:31Z","links":{"resolver":"https://pith.science/pith/NLPODNXJQOQ6NNJ4MBL3D5QPQM","bundle":"https://pith.science/pith/NLPODNXJQOQ6NNJ4MBL3D5QPQM/bundle.json","state":"https://pith.science/pith/NLPODNXJQOQ6NNJ4MBL3D5QPQM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NLPODNXJQOQ6NNJ4MBL3D5QPQM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NLPODNXJQOQ6NNJ4MBL3D5QPQM","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":"66b5d0dc66eb9d999ca3092fd564be532e67a7e708500768b621cca25e2d50a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-09-16T19:48:44Z","title_canon_sha256":"a67de6de1903d4d3871f92bcde5f68227e398098480dbc7de1d57c6e5fb8a744"},"schema_version":"1.0","source":{"id":"1609.05196","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.05196","created_at":"2026-05-17T23:41:02Z"},{"alias_kind":"arxiv_version","alias_value":"1609.05196v3","created_at":"2026-05-17T23:41:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.05196","created_at":"2026-05-17T23:41:02Z"},{"alias_kind":"pith_short_12","alias_value":"NLPODNXJQOQ6","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"NLPODNXJQOQ6NNJ4","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"NLPODNXJ","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:b79aa976a2b44ca250913c0ef223babc39cbedb33ffd294569ac08f92616a1c5","target":"graph","created_at":"2026-05-17T23:41:02Z","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":"We study Jordan-Lie inner ideals of finite dimensional associative algebras and the corresponding Lie algebras and prove that they admit Levi decompositions. Moreover, we classify Jordan-Lie inner ideals satisfying a certain minimality condition and show that they are generated by pairs of idempotents.","authors_text":"Alexander Baranov, Hasan Shlaka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-09-16T19:48:44Z","title":"Jordan-Lie inner ideals of finite dimensional associative algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.05196","kind":"arxiv","version":3},"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":"sha256:1b849da3769df4dba71158f8cb79923a388f0e793fae2a6011ed1eab95fdef4c","target":"record","created_at":"2026-05-17T23:41:02Z","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":"66b5d0dc66eb9d999ca3092fd564be532e67a7e708500768b621cca25e2d50a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-09-16T19:48:44Z","title_canon_sha256":"a67de6de1903d4d3871f92bcde5f68227e398098480dbc7de1d57c6e5fb8a744"},"schema_version":"1.0","source":{"id":"1609.05196","kind":"arxiv","version":3}},"canonical_sha256":"6adee1b6e983a1e6b53c6057b1f60f830c774917ab7f886b399fb4fe235f1225","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6adee1b6e983a1e6b53c6057b1f60f830c774917ab7f886b399fb4fe235f1225","first_computed_at":"2026-05-17T23:41:02.444478Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:02.444478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V4SdJ0YKMQTsYlOjyZ9jMfMg1NRudb3g6tJHPAYRuQFUg+EvkcZHTFphCD2NwJmh0wCB8rt6kt1Qis3eJWWcDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:02.445154Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.05196","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1b849da3769df4dba71158f8cb79923a388f0e793fae2a6011ed1eab95fdef4c","sha256:b79aa976a2b44ca250913c0ef223babc39cbedb33ffd294569ac08f92616a1c5"],"state_sha256":"de233a99946843cd6d94d9b7f690313106d64639081bdabea340e0e34c827a22"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b9rYHv/KpFb3VI7B6RUW5xFwioUmkFLL1ZWYci7z2R5TyBockln+Yf+GETHGcoGMhoVCLdXrVtDJzkZT3WG6Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T15:21:31.975806Z","bundle_sha256":"f4ee3ee3e1aed66d81540917775c79be031a77c37c39313202f9386b510be552"}}