{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:T72T7F3F7MD6QAMJ6MXSRWBLST","short_pith_number":"pith:T72T7F3F","canonical_record":{"source":{"id":"1312.7599","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-12-29T22:40:48Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"7ba123dc1c86bd09d726c4f7aad2b59e1d1239db5590f573f9eba83ca372b7f7","abstract_canon_sha256":"36f03dae188f99c951c41ad95487e376370cf96eb0ba013f3c02de41ced1e15b"},"schema_version":"1.0"},"canonical_sha256":"9ff53f9765fb07e80189f32f28d82b94e194200fe7ffdff397e9c3bc83b98bce","source":{"kind":"arxiv","id":"1312.7599","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.7599","created_at":"2026-05-18T03:03:34Z"},{"alias_kind":"arxiv_version","alias_value":"1312.7599v1","created_at":"2026-05-18T03:03:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7599","created_at":"2026-05-18T03:03:34Z"},{"alias_kind":"pith_short_12","alias_value":"T72T7F3F7MD6","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"T72T7F3F7MD6QAMJ","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"T72T7F3F","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:T72T7F3F7MD6QAMJ6MXSRWBLST","target":"record","payload":{"canonical_record":{"source":{"id":"1312.7599","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-12-29T22:40:48Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"7ba123dc1c86bd09d726c4f7aad2b59e1d1239db5590f573f9eba83ca372b7f7","abstract_canon_sha256":"36f03dae188f99c951c41ad95487e376370cf96eb0ba013f3c02de41ced1e15b"},"schema_version":"1.0"},"canonical_sha256":"9ff53f9765fb07e80189f32f28d82b94e194200fe7ffdff397e9c3bc83b98bce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:03:34.259886Z","signature_b64":"klPL1egCcA4JBwCmgeqnC77Sb5pwI+SHOyvXHeZWmO+RswKS6nobsLtsD7dt4ldcLLfhEdJGwrixWDRltTVRBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ff53f9765fb07e80189f32f28d82b94e194200fe7ffdff397e9c3bc83b98bce","last_reissued_at":"2026-05-18T03:03:34.259293Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:03:34.259293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.7599","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":"2026-05-18T03:03:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"56a8APLFMppeIx71JqyWeAD1Lj8yKWty9vPlEmoEZPym6K/sFzHXJQVLxWREqvEvSTaJjPL9qOlO6G8jabfJAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T12:18:40.724113Z"},"content_sha256":"4bee92c33fd7f7f603f64aa4087d38960dfbc3dc410ee1d95a7204d7d4244cbf","schema_version":"1.0","event_id":"sha256:4bee92c33fd7f7f603f64aa4087d38960dfbc3dc410ee1d95a7204d7d4244cbf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:T72T7F3F7MD6QAMJ6MXSRWBLST","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.RA","authors_text":"A. Kitouni, A. Makhlouf, J. Arnlind, S. Silvestrov","submitted_at":"2013-12-29T22:40:48Z","abstract_excerpt":"The aim of this paper is to compare the structure and the cohomology spaces of Lie algebras and induced $3$-Lie algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7599","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":"2026-05-18T03:03:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nq9b+M8f56z22IlmPCHYE0orgzfvTOhva0w5nSbIObLhVXEEa4EXaFCeolno5w5rayAEJiltYz6/+tiKCIpyAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T12:18:40.724480Z"},"content_sha256":"a58e246b6fe6e41d9966c8bf80fab63189eba770e73370d14a9f9258b14f21a4","schema_version":"1.0","event_id":"sha256:a58e246b6fe6e41d9966c8bf80fab63189eba770e73370d14a9f9258b14f21a4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T72T7F3F7MD6QAMJ6MXSRWBLST/bundle.json","state_url":"https://pith.science/pith/T72T7F3F7MD6QAMJ6MXSRWBLST/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T72T7F3F7MD6QAMJ6MXSRWBLST/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":"2026-06-08T12:18:40Z","links":{"resolver":"https://pith.science/pith/T72T7F3F7MD6QAMJ6MXSRWBLST","bundle":"https://pith.science/pith/T72T7F3F7MD6QAMJ6MXSRWBLST/bundle.json","state":"https://pith.science/pith/T72T7F3F7MD6QAMJ6MXSRWBLST/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T72T7F3F7MD6QAMJ6MXSRWBLST/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:T72T7F3F7MD6QAMJ6MXSRWBLST","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":"36f03dae188f99c951c41ad95487e376370cf96eb0ba013f3c02de41ced1e15b","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-12-29T22:40:48Z","title_canon_sha256":"7ba123dc1c86bd09d726c4f7aad2b59e1d1239db5590f573f9eba83ca372b7f7"},"schema_version":"1.0","source":{"id":"1312.7599","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.7599","created_at":"2026-05-18T03:03:34Z"},{"alias_kind":"arxiv_version","alias_value":"1312.7599v1","created_at":"2026-05-18T03:03:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7599","created_at":"2026-05-18T03:03:34Z"},{"alias_kind":"pith_short_12","alias_value":"T72T7F3F7MD6","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"T72T7F3F7MD6QAMJ","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"T72T7F3F","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:a58e246b6fe6e41d9966c8bf80fab63189eba770e73370d14a9f9258b14f21a4","target":"graph","created_at":"2026-05-18T03:03:34Z","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":"The aim of this paper is to compare the structure and the cohomology spaces of Lie algebras and induced $3$-Lie algebras.","authors_text":"A. Kitouni, A. Makhlouf, J. Arnlind, S. Silvestrov","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-12-29T22:40:48Z","title":"Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7599","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":"sha256:4bee92c33fd7f7f603f64aa4087d38960dfbc3dc410ee1d95a7204d7d4244cbf","target":"record","created_at":"2026-05-18T03:03:34Z","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":"36f03dae188f99c951c41ad95487e376370cf96eb0ba013f3c02de41ced1e15b","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-12-29T22:40:48Z","title_canon_sha256":"7ba123dc1c86bd09d726c4f7aad2b59e1d1239db5590f573f9eba83ca372b7f7"},"schema_version":"1.0","source":{"id":"1312.7599","kind":"arxiv","version":1}},"canonical_sha256":"9ff53f9765fb07e80189f32f28d82b94e194200fe7ffdff397e9c3bc83b98bce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ff53f9765fb07e80189f32f28d82b94e194200fe7ffdff397e9c3bc83b98bce","first_computed_at":"2026-05-18T03:03:34.259293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:34.259293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"klPL1egCcA4JBwCmgeqnC77Sb5pwI+SHOyvXHeZWmO+RswKS6nobsLtsD7dt4ldcLLfhEdJGwrixWDRltTVRBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:34.259886Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.7599","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4bee92c33fd7f7f603f64aa4087d38960dfbc3dc410ee1d95a7204d7d4244cbf","sha256:a58e246b6fe6e41d9966c8bf80fab63189eba770e73370d14a9f9258b14f21a4"],"state_sha256":"12ff4fc23f842a98481b260b47347e0a9e587aedb7559973e384259401c41d75"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xclsyyueAupRz/fltxmB00bSQOTpB/pJn5nVo2OxbaHCy383EXR7/Ak+efPeghHLkuPjfJk+G+0pcPI8YTj4CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T12:18:40.726337Z","bundle_sha256":"7aee915fcda91b2d18c64484951a3675fc36194e996d6020702da0eed570eeaf"}}