{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:KO5CZT2UBEDGYQZ6RPZBZL7MJL","short_pith_number":"pith:KO5CZT2U","schema_version":"1.0","canonical_sha256":"53ba2ccf5409066c433e8bf21cafec4afede915259aa2c1f21973324c105701d","source":{"kind":"arxiv","id":"1401.0361","version":2},"attestation_state":"computed","paper":{"title":"Quasi-Quantum Planes and Quasi-Quantum Groups of Dimension $p^3$ and $p^4$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Hua-Lin Huang, Yuping Yang","submitted_at":"2014-01-02T03:12:05Z","abstract_excerpt":"The aim of this paper is to contribute more examples and classification results of finite pointed quasi-quantum groups within the quiver framework initiated in \\cite{qha1, qha2}. The focus is put on finite dimensional graded Majid algebras generated by group-like elements and two skew-primitive elements which are mutually skew-commutative. Such quasi-quantum groups are associated to quasi-quantum planes in the sense of nonassociative geomertry \\cite{m1, m2}. As an application, we obtain an explicit classification of graded pointed Majid algebras with abelian coradical of dimension $p^3$ and $p"},"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":"1401.0361","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-01-02T03:12:05Z","cross_cats_sorted":[],"title_canon_sha256":"fa2c2017d5eacdf441fbd7be173532abb110adb8dc003d47bdbca280136e3530","abstract_canon_sha256":"268ab4b04c8a74004dd325657eb6a89da9e0a6cb67670e311a215c372f515876"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:48.449144Z","signature_b64":"Ekp9+SdpnVUH0kR89HLBWRt6zy+ypBpsu3kj4iCOBZUJi5SzMMjwr4gre1+JjmQvMAsK1v+d3s3KenfQ0HZGCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53ba2ccf5409066c433e8bf21cafec4afede915259aa2c1f21973324c105701d","last_reissued_at":"2026-05-18T02:51:48.448740Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:48.448740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quasi-Quantum Planes and Quasi-Quantum Groups of Dimension $p^3$ and $p^4$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Hua-Lin Huang, Yuping Yang","submitted_at":"2014-01-02T03:12:05Z","abstract_excerpt":"The aim of this paper is to contribute more examples and classification results of finite pointed quasi-quantum groups within the quiver framework initiated in \\cite{qha1, qha2}. The focus is put on finite dimensional graded Majid algebras generated by group-like elements and two skew-primitive elements which are mutually skew-commutative. Such quasi-quantum groups are associated to quasi-quantum planes in the sense of nonassociative geomertry \\cite{m1, m2}. As an application, we obtain an explicit classification of graded pointed Majid algebras with abelian coradical of dimension $p^3$ and $p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0361","kind":"arxiv","version":2},"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":"1401.0361","created_at":"2026-05-18T02:51:48.448800+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.0361v2","created_at":"2026-05-18T02:51:48.448800+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0361","created_at":"2026-05-18T02:51:48.448800+00:00"},{"alias_kind":"pith_short_12","alias_value":"KO5CZT2UBEDG","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"KO5CZT2UBEDGYQZ6","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"KO5CZT2U","created_at":"2026-05-18T12:28:35.611951+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/KO5CZT2UBEDGYQZ6RPZBZL7MJL","json":"https://pith.science/pith/KO5CZT2UBEDGYQZ6RPZBZL7MJL.json","graph_json":"https://pith.science/api/pith-number/KO5CZT2UBEDGYQZ6RPZBZL7MJL/graph.json","events_json":"https://pith.science/api/pith-number/KO5CZT2UBEDGYQZ6RPZBZL7MJL/events.json","paper":"https://pith.science/paper/KO5CZT2U"},"agent_actions":{"view_html":"https://pith.science/pith/KO5CZT2UBEDGYQZ6RPZBZL7MJL","download_json":"https://pith.science/pith/KO5CZT2UBEDGYQZ6RPZBZL7MJL.json","view_paper":"https://pith.science/paper/KO5CZT2U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.0361&json=true","fetch_graph":"https://pith.science/api/pith-number/KO5CZT2UBEDGYQZ6RPZBZL7MJL/graph.json","fetch_events":"https://pith.science/api/pith-number/KO5CZT2UBEDGYQZ6RPZBZL7MJL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KO5CZT2UBEDGYQZ6RPZBZL7MJL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KO5CZT2UBEDGYQZ6RPZBZL7MJL/action/storage_attestation","attest_author":"https://pith.science/pith/KO5CZT2UBEDGYQZ6RPZBZL7MJL/action/author_attestation","sign_citation":"https://pith.science/pith/KO5CZT2UBEDGYQZ6RPZBZL7MJL/action/citation_signature","submit_replication":"https://pith.science/pith/KO5CZT2UBEDGYQZ6RPZBZL7MJL/action/replication_record"}},"created_at":"2026-05-18T02:51:48.448800+00:00","updated_at":"2026-05-18T02:51:48.448800+00:00"}