{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:5TZQCWMLUQVCLGEXHZCK3Y7SKI","short_pith_number":"pith:5TZQCWML","canonical_record":{"source":{"id":"1008.2388","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-08-13T20:11:52Z","cross_cats_sorted":["math-ph","math.MP","math.RT"],"title_canon_sha256":"9cc96bbd7bf4cecab924b9b00bfdf7162c3527d850530716c755998eec8df8e0","abstract_canon_sha256":"d2db159f32054cab2434d5d4d4ff20b7c2822d3217365edaa921ee171e9dd544"},"schema_version":"1.0"},"canonical_sha256":"ecf301598ba42a2598973e44ade3f2522e95974df8cb5239572acf95823471e7","source":{"kind":"arxiv","id":"1008.2388","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.2388","created_at":"2026-05-18T04:42:13Z"},{"alias_kind":"arxiv_version","alias_value":"1008.2388v1","created_at":"2026-05-18T04:42:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2388","created_at":"2026-05-18T04:42:13Z"},{"alias_kind":"pith_short_12","alias_value":"5TZQCWMLUQVC","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5TZQCWMLUQVCLGEX","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5TZQCWML","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:5TZQCWMLUQVCLGEXHZCK3Y7SKI","target":"record","payload":{"canonical_record":{"source":{"id":"1008.2388","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-08-13T20:11:52Z","cross_cats_sorted":["math-ph","math.MP","math.RT"],"title_canon_sha256":"9cc96bbd7bf4cecab924b9b00bfdf7162c3527d850530716c755998eec8df8e0","abstract_canon_sha256":"d2db159f32054cab2434d5d4d4ff20b7c2822d3217365edaa921ee171e9dd544"},"schema_version":"1.0"},"canonical_sha256":"ecf301598ba42a2598973e44ade3f2522e95974df8cb5239572acf95823471e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:13.412277Z","signature_b64":"FRKisATqX9W6qrcwl9bB1etQo+gKvepla4qKm/QiywPGTIvctZs/rLXp2f79Y7VHKjlsDC9G2eFHYUna7BKrCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ecf301598ba42a2598973e44ade3f2522e95974df8cb5239572acf95823471e7","last_reissued_at":"2026-05-18T04:42:13.411693Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:13.411693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.2388","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":"2026-05-18T04:42:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"43fkXUq5aNf9RL1RhUs4oVue2rzeXHev0zZcWvVx2fcDzaqaubg4aeFFp2aZTOUR5L/ioXNRIuQNwGjcdvLzBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:22:40.531086Z"},"content_sha256":"40898bae1a7c65d5d7d6aeec989960532715b75fd722833003dd06c03a53bb84","schema_version":"1.0","event_id":"sha256:40898bae1a7c65d5d7d6aeec989960532715b75fd722833003dd06c03a53bb84"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:5TZQCWMLUQVCLGEXHZCK3Y7SKI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Enveloping algebras of Malcev algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RT"],"primary_cat":"math.RA","authors_text":"Hamid Usefi, Irvin R. Hentzel, Luiz A. Peresi, Marina V. Tvalavadze, Murray R. Bremner","submitted_at":"2010-08-13T20:11:52Z","abstract_excerpt":"We first discuss the construction by Perez-Izquierdo and Shestakov of universal nonassociative enveloping algebras of Malcev algebras. We then describe recent results on explicit structure constants for the universal enveloping algebras (both nonassociative and alternative) of the 4-dimensional solvable Malcev algebra and the 5-dimensional nilpotent Malcev algebra. We include a proof (due to Shestakov) that the universal alternative enveloping algebra of the real 7-dimensional simple Malcev algebra is isomorphic to the 8-dimensional division algebra of real octonions. We conclude with some bri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2388","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":"2026-05-18T04:42:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GwrZQ9KEfLHVrUNeJAYKqwdexol3kK7+gApSGHQzL9v3iDbpiqofQtEgHAwKdn79acl8Zf+OfP6H60in7B9gCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:22:40.531831Z"},"content_sha256":"8ac7d85bcd497a90d7b161ff4a39d19f235261d8e75f26a4fa2a51e321dc8ca7","schema_version":"1.0","event_id":"sha256:8ac7d85bcd497a90d7b161ff4a39d19f235261d8e75f26a4fa2a51e321dc8ca7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5TZQCWMLUQVCLGEXHZCK3Y7SKI/bundle.json","state_url":"https://pith.science/pith/5TZQCWMLUQVCLGEXHZCK3Y7SKI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5TZQCWMLUQVCLGEXHZCK3Y7SKI/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":"2026-05-27T01:22:40Z","links":{"resolver":"https://pith.science/pith/5TZQCWMLUQVCLGEXHZCK3Y7SKI","bundle":"https://pith.science/pith/5TZQCWMLUQVCLGEXHZCK3Y7SKI/bundle.json","state":"https://pith.science/pith/5TZQCWMLUQVCLGEXHZCK3Y7SKI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5TZQCWMLUQVCLGEXHZCK3Y7SKI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:5TZQCWMLUQVCLGEXHZCK3Y7SKI","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":"d2db159f32054cab2434d5d4d4ff20b7c2822d3217365edaa921ee171e9dd544","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-08-13T20:11:52Z","title_canon_sha256":"9cc96bbd7bf4cecab924b9b00bfdf7162c3527d850530716c755998eec8df8e0"},"schema_version":"1.0","source":{"id":"1008.2388","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.2388","created_at":"2026-05-18T04:42:13Z"},{"alias_kind":"arxiv_version","alias_value":"1008.2388v1","created_at":"2026-05-18T04:42:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2388","created_at":"2026-05-18T04:42:13Z"},{"alias_kind":"pith_short_12","alias_value":"5TZQCWMLUQVC","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5TZQCWMLUQVCLGEX","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5TZQCWML","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:8ac7d85bcd497a90d7b161ff4a39d19f235261d8e75f26a4fa2a51e321dc8ca7","target":"graph","created_at":"2026-05-18T04:42:13Z","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 first discuss the construction by Perez-Izquierdo and Shestakov of universal nonassociative enveloping algebras of Malcev algebras. We then describe recent results on explicit structure constants for the universal enveloping algebras (both nonassociative and alternative) of the 4-dimensional solvable Malcev algebra and the 5-dimensional nilpotent Malcev algebra. We include a proof (due to Shestakov) that the universal alternative enveloping algebra of the real 7-dimensional simple Malcev algebra is isomorphic to the 8-dimensional division algebra of real octonions. We conclude with some bri","authors_text":"Hamid Usefi, Irvin R. Hentzel, Luiz A. Peresi, Marina V. Tvalavadze, Murray R. Bremner","cross_cats":["math-ph","math.MP","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-08-13T20:11:52Z","title":"Enveloping algebras of Malcev algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2388","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":"sha256:40898bae1a7c65d5d7d6aeec989960532715b75fd722833003dd06c03a53bb84","target":"record","created_at":"2026-05-18T04:42:13Z","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":"d2db159f32054cab2434d5d4d4ff20b7c2822d3217365edaa921ee171e9dd544","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-08-13T20:11:52Z","title_canon_sha256":"9cc96bbd7bf4cecab924b9b00bfdf7162c3527d850530716c755998eec8df8e0"},"schema_version":"1.0","source":{"id":"1008.2388","kind":"arxiv","version":1}},"canonical_sha256":"ecf301598ba42a2598973e44ade3f2522e95974df8cb5239572acf95823471e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ecf301598ba42a2598973e44ade3f2522e95974df8cb5239572acf95823471e7","first_computed_at":"2026-05-18T04:42:13.411693Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:42:13.411693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FRKisATqX9W6qrcwl9bB1etQo+gKvepla4qKm/QiywPGTIvctZs/rLXp2f79Y7VHKjlsDC9G2eFHYUna7BKrCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:42:13.412277Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.2388","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40898bae1a7c65d5d7d6aeec989960532715b75fd722833003dd06c03a53bb84","sha256:8ac7d85bcd497a90d7b161ff4a39d19f235261d8e75f26a4fa2a51e321dc8ca7"],"state_sha256":"4a1e21dc9acf2d20356daa80f64e33a49febe996637b86264b19a28e8195b008"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ObqUVTgBNQDA9tgxD+D0w7z+GRSJQeN4mMrm9NVD5iVx0evvT0OwxbEuKUkh4E7oCWzqFiE7CfmNXPnqaEd9Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T01:22:40.535202Z","bundle_sha256":"63385f97a75eb0672c00517def4470f853b9d9895b624057ca5166abaea68fc2"}}