{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:MESKSMB33I2F77H4CSG4VM64JR","short_pith_number":"pith:MESKSMB3","schema_version":"1.0","canonical_sha256":"6124a9303bda345ffcfc148dcab3dc4c692ea473eb4338d5704d9ab9bc2a1de2","source":{"kind":"arxiv","id":"0812.1571","version":1},"attestation_state":"computed","paper":{"title":"On exceptional nilpotents in semisimple Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RT"],"primary_cat":"math.GR","authors_text":"A.G. Elashvili, E.B. Vinberg, V.G. Kac","submitted_at":"2008-12-08T21:18:58Z","abstract_excerpt":"We classify all pairs (m,e), where m is a positive integer and e is a nilpotent element of a semisimple Lie algebra, which arise in the classification of simple rational W-algebras."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0812.1571","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2008-12-08T21:18:58Z","cross_cats_sorted":["math-ph","math.MP","math.RT"],"title_canon_sha256":"931e7531395b0df65304de74b9780dd75f633a3300f801a227dede9a903434e1","abstract_canon_sha256":"dbc1bbf8c897dd2d18dd02dcf16e3d83de2d9fe7c917d6c6e9b471064088c74a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:05.954241Z","signature_b64":"xuwL1Ao/1fiYGGfPoUgEmbzZVelt+KKsOF4veoG8iwCndueoGMpNM7ohY0ZgDGy+aQwceAf/4dbkRlEOktDWBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6124a9303bda345ffcfc148dcab3dc4c692ea473eb4338d5704d9ab9bc2a1de2","last_reissued_at":"2026-05-18T03:02:05.953720Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:05.953720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On exceptional nilpotents in semisimple Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RT"],"primary_cat":"math.GR","authors_text":"A.G. Elashvili, E.B. Vinberg, V.G. Kac","submitted_at":"2008-12-08T21:18:58Z","abstract_excerpt":"We classify all pairs (m,e), where m is a positive integer and e is a nilpotent element of a semisimple Lie algebra, which arise in the classification of simple rational W-algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.1571","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0812.1571","created_at":"2026-05-18T03:02:05.953798+00:00"},{"alias_kind":"arxiv_version","alias_value":"0812.1571v1","created_at":"2026-05-18T03:02:05.953798+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.1571","created_at":"2026-05-18T03:02:05.953798+00:00"},{"alias_kind":"pith_short_12","alias_value":"MESKSMB33I2F","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_16","alias_value":"MESKSMB33I2F77H4","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_8","alias_value":"MESKSMB3","created_at":"2026-05-18T12:25:57.157939+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MESKSMB33I2F77H4CSG4VM64JR","json":"https://pith.science/pith/MESKSMB33I2F77H4CSG4VM64JR.json","graph_json":"https://pith.science/api/pith-number/MESKSMB33I2F77H4CSG4VM64JR/graph.json","events_json":"https://pith.science/api/pith-number/MESKSMB33I2F77H4CSG4VM64JR/events.json","paper":"https://pith.science/paper/MESKSMB3"},"agent_actions":{"view_html":"https://pith.science/pith/MESKSMB33I2F77H4CSG4VM64JR","download_json":"https://pith.science/pith/MESKSMB33I2F77H4CSG4VM64JR.json","view_paper":"https://pith.science/paper/MESKSMB3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0812.1571&json=true","fetch_graph":"https://pith.science/api/pith-number/MESKSMB33I2F77H4CSG4VM64JR/graph.json","fetch_events":"https://pith.science/api/pith-number/MESKSMB33I2F77H4CSG4VM64JR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MESKSMB33I2F77H4CSG4VM64JR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MESKSMB33I2F77H4CSG4VM64JR/action/storage_attestation","attest_author":"https://pith.science/pith/MESKSMB33I2F77H4CSG4VM64JR/action/author_attestation","sign_citation":"https://pith.science/pith/MESKSMB33I2F77H4CSG4VM64JR/action/citation_signature","submit_replication":"https://pith.science/pith/MESKSMB33I2F77H4CSG4VM64JR/action/replication_record"}},"created_at":"2026-05-18T03:02:05.953798+00:00","updated_at":"2026-05-18T03:02:05.953798+00:00"}