{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:JKH7RU3PJECGZCLXY6UZBFVT4U","short_pith_number":"pith:JKH7RU3P","schema_version":"1.0","canonical_sha256":"4a8ff8d36f49046c8977c7a99096b3e53d2326b10adda30e4f0fc1f9967aa7d2","source":{"kind":"arxiv","id":"1311.5475","version":1},"attestation_state":"computed","paper":{"title":"p-filiform Leibniz algebras of maximum length","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"B.A. Omirov, E.M. Canete, J.R. Gomez, L.M. Camacho","submitted_at":"2013-11-21T16:49:55Z","abstract_excerpt":"The descriptions (up to isomorphism) of naturally graded $p$-filiform Leibniz algebras and $p$-filiform ($p\\leq 3$) Leibniz algebras of maximum length are known. In this paper we study the gradation of maximum length for $p$-filiform Leibniz algebras. The present work aims at the classification of complex $p$-filiform ($p \\geq 4$) Leibniz algebras of maximum length."},"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":"1311.5475","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-11-21T16:49:55Z","cross_cats_sorted":[],"title_canon_sha256":"0d792ff0915a5b78814d21a45caf25330d5c4a0af13f48bb1405dd95e75c0be8","abstract_canon_sha256":"0d00b2cffe7907afadd947737cd1deff930196330159f559957ac0895d2e48fa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:33.273450Z","signature_b64":"xFk4dA9gwaAqgwzjSdDzsSOmloC7McjOcGlefEDYSftE++A5pd/Cb99QXdi3N+wtoNAmbCDMN0C/2S/oWHOnBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a8ff8d36f49046c8977c7a99096b3e53d2326b10adda30e4f0fc1f9967aa7d2","last_reissued_at":"2026-05-18T03:06:33.272989Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:33.272989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"p-filiform Leibniz algebras of maximum length","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"B.A. Omirov, E.M. Canete, J.R. Gomez, L.M. Camacho","submitted_at":"2013-11-21T16:49:55Z","abstract_excerpt":"The descriptions (up to isomorphism) of naturally graded $p$-filiform Leibniz algebras and $p$-filiform ($p\\leq 3$) Leibniz algebras of maximum length are known. In this paper we study the gradation of maximum length for $p$-filiform Leibniz algebras. The present work aims at the classification of complex $p$-filiform ($p \\geq 4$) Leibniz algebras of maximum length."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5475","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":"1311.5475","created_at":"2026-05-18T03:06:33.273056+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.5475v1","created_at":"2026-05-18T03:06:33.273056+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5475","created_at":"2026-05-18T03:06:33.273056+00:00"},{"alias_kind":"pith_short_12","alias_value":"JKH7RU3PJECG","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_16","alias_value":"JKH7RU3PJECGZCLX","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_8","alias_value":"JKH7RU3P","created_at":"2026-05-18T12:27:49.015174+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/JKH7RU3PJECGZCLXY6UZBFVT4U","json":"https://pith.science/pith/JKH7RU3PJECGZCLXY6UZBFVT4U.json","graph_json":"https://pith.science/api/pith-number/JKH7RU3PJECGZCLXY6UZBFVT4U/graph.json","events_json":"https://pith.science/api/pith-number/JKH7RU3PJECGZCLXY6UZBFVT4U/events.json","paper":"https://pith.science/paper/JKH7RU3P"},"agent_actions":{"view_html":"https://pith.science/pith/JKH7RU3PJECGZCLXY6UZBFVT4U","download_json":"https://pith.science/pith/JKH7RU3PJECGZCLXY6UZBFVT4U.json","view_paper":"https://pith.science/paper/JKH7RU3P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.5475&json=true","fetch_graph":"https://pith.science/api/pith-number/JKH7RU3PJECGZCLXY6UZBFVT4U/graph.json","fetch_events":"https://pith.science/api/pith-number/JKH7RU3PJECGZCLXY6UZBFVT4U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JKH7RU3PJECGZCLXY6UZBFVT4U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JKH7RU3PJECGZCLXY6UZBFVT4U/action/storage_attestation","attest_author":"https://pith.science/pith/JKH7RU3PJECGZCLXY6UZBFVT4U/action/author_attestation","sign_citation":"https://pith.science/pith/JKH7RU3PJECGZCLXY6UZBFVT4U/action/citation_signature","submit_replication":"https://pith.science/pith/JKH7RU3PJECGZCLXY6UZBFVT4U/action/replication_record"}},"created_at":"2026-05-18T03:06:33.273056+00:00","updated_at":"2026-05-18T03:06:33.273056+00:00"}