{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:KOPZZWBB4EYNAHFYQHLZSS7JY6","short_pith_number":"pith:KOPZZWBB","schema_version":"1.0","canonical_sha256":"539f9cd821e130d01cb881d7994be9c7af10f1312c3313b57863029ae1cf10a4","source":{"kind":"arxiv","id":"1902.04071","version":1},"attestation_state":"computed","paper":{"title":"Solvable Leibniz algebras with naturally graded non-Lie $p$-filiform nilradicals and maximal complemented space of its nilradical","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"B.A.Omirov, J.Q.Adashev, L.M.Camacho","submitted_at":"2019-02-11T12:35:34Z","abstract_excerpt":"The present article is a part of the study of solvable Leibniz algebras with a given nilradical. In this paper solvable Leibniz algebras, whose nilradicals is naturally graded $p$-filiform non-Lie Leibniz algebra $(n-p\\geq4)$ and the complemented space to nilradical has maximal dimension, are described up to isomorphism. Moreover, among obtained algebras we indicate the rigid and complete 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":"1902.04071","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2019-02-11T12:35:34Z","cross_cats_sorted":[],"title_canon_sha256":"917482cea30feeb87a55014ebbfc86cc46d91bd5cce09432161e38400af14510","abstract_canon_sha256":"213a1ad9c53ece57e0e816990227c6f6f4b29c1909f91774216f3b0c7a84fade"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:13.097705Z","signature_b64":"HxclGaAUA9pq8Bhsjjj48Gj00D751GUjOklnjyxny79Orga4xqc7zYY4jmKppoH/fT7mz8AQfkuAXq0ZD/YwBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"539f9cd821e130d01cb881d7994be9c7af10f1312c3313b57863029ae1cf10a4","last_reissued_at":"2026-05-17T23:54:13.097077Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:13.097077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Solvable Leibniz algebras with naturally graded non-Lie $p$-filiform nilradicals and maximal complemented space of its nilradical","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"B.A.Omirov, J.Q.Adashev, L.M.Camacho","submitted_at":"2019-02-11T12:35:34Z","abstract_excerpt":"The present article is a part of the study of solvable Leibniz algebras with a given nilradical. In this paper solvable Leibniz algebras, whose nilradicals is naturally graded $p$-filiform non-Lie Leibniz algebra $(n-p\\geq4)$ and the complemented space to nilradical has maximal dimension, are described up to isomorphism. Moreover, among obtained algebras we indicate the rigid and complete algebras"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.04071","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":"1902.04071","created_at":"2026-05-17T23:54:13.097159+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.04071v1","created_at":"2026-05-17T23:54:13.097159+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.04071","created_at":"2026-05-17T23:54:13.097159+00:00"},{"alias_kind":"pith_short_12","alias_value":"KOPZZWBB4EYN","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_16","alias_value":"KOPZZWBB4EYNAHFY","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_8","alias_value":"KOPZZWBB","created_at":"2026-05-18T12:33:21.387695+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/KOPZZWBB4EYNAHFYQHLZSS7JY6","json":"https://pith.science/pith/KOPZZWBB4EYNAHFYQHLZSS7JY6.json","graph_json":"https://pith.science/api/pith-number/KOPZZWBB4EYNAHFYQHLZSS7JY6/graph.json","events_json":"https://pith.science/api/pith-number/KOPZZWBB4EYNAHFYQHLZSS7JY6/events.json","paper":"https://pith.science/paper/KOPZZWBB"},"agent_actions":{"view_html":"https://pith.science/pith/KOPZZWBB4EYNAHFYQHLZSS7JY6","download_json":"https://pith.science/pith/KOPZZWBB4EYNAHFYQHLZSS7JY6.json","view_paper":"https://pith.science/paper/KOPZZWBB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.04071&json=true","fetch_graph":"https://pith.science/api/pith-number/KOPZZWBB4EYNAHFYQHLZSS7JY6/graph.json","fetch_events":"https://pith.science/api/pith-number/KOPZZWBB4EYNAHFYQHLZSS7JY6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KOPZZWBB4EYNAHFYQHLZSS7JY6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KOPZZWBB4EYNAHFYQHLZSS7JY6/action/storage_attestation","attest_author":"https://pith.science/pith/KOPZZWBB4EYNAHFYQHLZSS7JY6/action/author_attestation","sign_citation":"https://pith.science/pith/KOPZZWBB4EYNAHFYQHLZSS7JY6/action/citation_signature","submit_replication":"https://pith.science/pith/KOPZZWBB4EYNAHFYQHLZSS7JY6/action/replication_record"}},"created_at":"2026-05-17T23:54:13.097159+00:00","updated_at":"2026-05-17T23:54:13.097159+00:00"}