{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:KO5CZT2UBEDGYQZ6RPZBZL7MJL","short_pith_number":"pith:KO5CZT2U","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"},"canonical_sha256":"53ba2ccf5409066c433e8bf21cafec4afede915259aa2c1f21973324c105701d","source":{"kind":"arxiv","id":"1401.0361","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.0361","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"arxiv_version","alias_value":"1401.0361v2","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0361","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"pith_short_12","alias_value":"KO5CZT2UBEDG","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KO5CZT2UBEDGYQZ6","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KO5CZT2U","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:KO5CZT2UBEDGYQZ6RPZBZL7MJL","target":"record","payload":{"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"},"canonical_sha256":"53ba2ccf5409066c433e8bf21cafec4afede915259aa2c1f21973324c105701d","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"},"source_kind":"arxiv","source_id":"1401.0361","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:51:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g11lXzQkKufiRKgJrRwUbsu5TlIiEUa2TatnI551NRScwxGSHiCNL/Ldig4b2+SsEmbNQWG874IMZRJFLu8+AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T11:48:28.638726Z"},"content_sha256":"0a1583bab152c2812a570b20b273f8545e3a1c02e43d98b42d3dfa604a63366b","schema_version":"1.0","event_id":"sha256:0a1583bab152c2812a570b20b273f8545e3a1c02e43d98b42d3dfa604a63366b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:KO5CZT2UBEDGYQZ6RPZBZL7MJL","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:51:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2FXW3xRFj+4xPNWPmSmxIJQLbodbJLbcSTCPwTnH0aFiYgXIGT/nhHQsd+1YF2adJNJJZgxSXjB4FTVBFWq7BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T11:48:28.639525Z"},"content_sha256":"ccec4787891bf454940f6dbbc2ef46709ea58ad0ffb74b0d7f73029e393c6e20","schema_version":"1.0","event_id":"sha256:ccec4787891bf454940f6dbbc2ef46709ea58ad0ffb74b0d7f73029e393c6e20"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KO5CZT2UBEDGYQZ6RPZBZL7MJL/bundle.json","state_url":"https://pith.science/pith/KO5CZT2UBEDGYQZ6RPZBZL7MJL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KO5CZT2UBEDGYQZ6RPZBZL7MJL/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T11:48:28Z","links":{"resolver":"https://pith.science/pith/KO5CZT2UBEDGYQZ6RPZBZL7MJL","bundle":"https://pith.science/pith/KO5CZT2UBEDGYQZ6RPZBZL7MJL/bundle.json","state":"https://pith.science/pith/KO5CZT2UBEDGYQZ6RPZBZL7MJL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KO5CZT2UBEDGYQZ6RPZBZL7MJL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KO5CZT2UBEDGYQZ6RPZBZL7MJL","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"268ab4b04c8a74004dd325657eb6a89da9e0a6cb67670e311a215c372f515876","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-01-02T03:12:05Z","title_canon_sha256":"fa2c2017d5eacdf441fbd7be173532abb110adb8dc003d47bdbca280136e3530"},"schema_version":"1.0","source":{"id":"1401.0361","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.0361","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"arxiv_version","alias_value":"1401.0361v2","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0361","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"pith_short_12","alias_value":"KO5CZT2UBEDG","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KO5CZT2UBEDGYQZ6","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KO5CZT2U","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:ccec4787891bf454940f6dbbc2ef46709ea58ad0ffb74b0d7f73029e393c6e20","target":"graph","created_at":"2026-05-18T02:51:48Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Hua-Lin Huang, Yuping Yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-01-02T03:12:05Z","title":"Quasi-Quantum Planes and Quasi-Quantum Groups of Dimension $p^3$ and $p^4$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0361","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0a1583bab152c2812a570b20b273f8545e3a1c02e43d98b42d3dfa604a63366b","target":"record","created_at":"2026-05-18T02:51:48Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"268ab4b04c8a74004dd325657eb6a89da9e0a6cb67670e311a215c372f515876","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-01-02T03:12:05Z","title_canon_sha256":"fa2c2017d5eacdf441fbd7be173532abb110adb8dc003d47bdbca280136e3530"},"schema_version":"1.0","source":{"id":"1401.0361","kind":"arxiv","version":2}},"canonical_sha256":"53ba2ccf5409066c433e8bf21cafec4afede915259aa2c1f21973324c105701d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53ba2ccf5409066c433e8bf21cafec4afede915259aa2c1f21973324c105701d","first_computed_at":"2026-05-18T02:51:48.448740Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:48.448740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ekp9+SdpnVUH0kR89HLBWRt6zy+ypBpsu3kj4iCOBZUJi5SzMMjwr4gre1+JjmQvMAsK1v+d3s3KenfQ0HZGCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:48.449144Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.0361","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a1583bab152c2812a570b20b273f8545e3a1c02e43d98b42d3dfa604a63366b","sha256:ccec4787891bf454940f6dbbc2ef46709ea58ad0ffb74b0d7f73029e393c6e20"],"state_sha256":"9eb3a25edf053d029f9993c9b1666bf56064f20d9875c919ae12cd777b01c873"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vVZRMoODwqfg42LJE6IHTd03/NYh/j1rhsz7kwEtiYA8tiYyiiqQhs5q/qXez4rUrxQwxCfGuASn7Oe4MmXPCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T11:48:28.644607Z","bundle_sha256":"0ae640f5a0f9fc459b559600a2deacf68752756e131ca325be12d1246f9bf053"}}