{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:36KI6VKJLBOL4FZUMTNUOBTTWD","short_pith_number":"pith:36KI6VKJ","schema_version":"1.0","canonical_sha256":"df948f5549585cbe173464db470673b0eda03c98a8a992fd950ea54352a327db","source":{"kind":"arxiv","id":"1302.1058","version":1},"attestation_state":"computed","paper":{"title":"On minimal non-elementary Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RA","authors_text":"David A. Towers","submitted_at":"2013-02-05T15:01:49Z","abstract_excerpt":"The class of minimal non-elementary Lie algebras over a field F are studied. These are classified when F is algebraically closed and of characteristic different from 2,3. The solvable algebras in this class are also characterised over any perfect field."},"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":"1302.1058","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-02-05T15:01:49Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"c2b32ce45830a58c236e56900cbfc2364a3ab0e4b95fb4c5ac3c5afa8c6f9038","abstract_canon_sha256":"82eafe76b9a19884590e9ebafb6b42589e9785f8680eae1068f20ec2bb91671b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:34:26.273275Z","signature_b64":"FdbFbNiT5vMPOOM/J5PJDezLw2RBc8/bGRu76uLjDZRzPlkPawzMKWGdwqxjrxcQ6R7as59xtRfQDhbAoLjVCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df948f5549585cbe173464db470673b0eda03c98a8a992fd950ea54352a327db","last_reissued_at":"2026-05-18T03:34:26.272516Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:34:26.272516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On minimal non-elementary Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RA","authors_text":"David A. Towers","submitted_at":"2013-02-05T15:01:49Z","abstract_excerpt":"The class of minimal non-elementary Lie algebras over a field F are studied. These are classified when F is algebraically closed and of characteristic different from 2,3. The solvable algebras in this class are also characterised over any perfect field."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.1058","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":"1302.1058","created_at":"2026-05-18T03:34:26.272625+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.1058v1","created_at":"2026-05-18T03:34:26.272625+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.1058","created_at":"2026-05-18T03:34:26.272625+00:00"},{"alias_kind":"pith_short_12","alias_value":"36KI6VKJLBOL","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"36KI6VKJLBOL4FZU","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"36KI6VKJ","created_at":"2026-05-18T12:27:32.513160+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/36KI6VKJLBOL4FZUMTNUOBTTWD","json":"https://pith.science/pith/36KI6VKJLBOL4FZUMTNUOBTTWD.json","graph_json":"https://pith.science/api/pith-number/36KI6VKJLBOL4FZUMTNUOBTTWD/graph.json","events_json":"https://pith.science/api/pith-number/36KI6VKJLBOL4FZUMTNUOBTTWD/events.json","paper":"https://pith.science/paper/36KI6VKJ"},"agent_actions":{"view_html":"https://pith.science/pith/36KI6VKJLBOL4FZUMTNUOBTTWD","download_json":"https://pith.science/pith/36KI6VKJLBOL4FZUMTNUOBTTWD.json","view_paper":"https://pith.science/paper/36KI6VKJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.1058&json=true","fetch_graph":"https://pith.science/api/pith-number/36KI6VKJLBOL4FZUMTNUOBTTWD/graph.json","fetch_events":"https://pith.science/api/pith-number/36KI6VKJLBOL4FZUMTNUOBTTWD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/36KI6VKJLBOL4FZUMTNUOBTTWD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/36KI6VKJLBOL4FZUMTNUOBTTWD/action/storage_attestation","attest_author":"https://pith.science/pith/36KI6VKJLBOL4FZUMTNUOBTTWD/action/author_attestation","sign_citation":"https://pith.science/pith/36KI6VKJLBOL4FZUMTNUOBTTWD/action/citation_signature","submit_replication":"https://pith.science/pith/36KI6VKJLBOL4FZUMTNUOBTTWD/action/replication_record"}},"created_at":"2026-05-18T03:34:26.272625+00:00","updated_at":"2026-05-18T03:34:26.272625+00:00"}