{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:XGE4IOK5ADCDGEGFNQ7BKALBHM","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":"1367575a89533f5c662bb7b3ec126ecdda4badedb82d45289e8ed4d3c9f03b64","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-02-02T15:59:58Z","title_canon_sha256":"c57b835c7013e8f56d9cf8210116347bb62e7b39247cd615f9b4320b985bdbfb"},"schema_version":"1.0","source":{"id":"1002.0518","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.0518","created_at":"2026-05-18T03:37:29Z"},{"alias_kind":"arxiv_version","alias_value":"1002.0518v1","created_at":"2026-05-18T03:37:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.0518","created_at":"2026-05-18T03:37:29Z"},{"alias_kind":"pith_short_12","alias_value":"XGE4IOK5ADCD","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XGE4IOK5ADCDGEGF","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XGE4IOK5","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:32bb3d430a7d83c87c4168579054b22e4f0974101662f305b904cc3558c391ff","target":"graph","created_at":"2026-05-18T03:37:29Z","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":"We study coquasitriangular pointed Majid algebras via the quiver approaches. The class of Hopf quivers whose path coalgebras admit coquasitriangular Majid algebras is classified. The quiver setting for general coquasitriangular pointed Majid algebras is also provided. Through this, some examples and classification results are obtained.","authors_text":"Gongxiang Liu, Hua-Lin Huang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-02-02T15:59:58Z","title":"On coquasitriangular pointed Majid algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.0518","kind":"arxiv","version":1},"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":"sha256:85c3665e99bc242f6195e98d61079ba9e1bb615803651c2ae027f8eb0d29ac55","target":"record","created_at":"2026-05-18T03:37:29Z","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":"1367575a89533f5c662bb7b3ec126ecdda4badedb82d45289e8ed4d3c9f03b64","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-02-02T15:59:58Z","title_canon_sha256":"c57b835c7013e8f56d9cf8210116347bb62e7b39247cd615f9b4320b985bdbfb"},"schema_version":"1.0","source":{"id":"1002.0518","kind":"arxiv","version":1}},"canonical_sha256":"b989c4395d00c43310c56c3e1501613b24890aba705e3ed5cf91a342516fe316","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b989c4395d00c43310c56c3e1501613b24890aba705e3ed5cf91a342516fe316","first_computed_at":"2026-05-18T03:37:29.175223Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:29.175223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UQ4bdEcPSH0+DcSQPCy9eRPpWiAiEWkTKy1KZefwitO9Dj0mYugiZRxCDu6wyWVUUk549nyR2Kej9/+ipfouDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:29.175935Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.0518","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85c3665e99bc242f6195e98d61079ba9e1bb615803651c2ae027f8eb0d29ac55","sha256:32bb3d430a7d83c87c4168579054b22e4f0974101662f305b904cc3558c391ff"],"state_sha256":"773c53cdcd68785d19cad6b3836e78182e86c3c709d4e9c90c05e25a4e531f43"}