{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:ZRZARJY3XZAKMVRUMR4DHDBZ4T","short_pith_number":"pith:ZRZARJY3","schema_version":"1.0","canonical_sha256":"cc7208a71bbe40a656346478338c39e4fca7f77cccf2290b0d85d2cc79a5cb87","source":{"kind":"arxiv","id":"0902.1620","version":1},"attestation_state":"computed","paper":{"title":"Quiver Approaches to Quasi-Hopf Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.QA","authors_text":"Hua-Lin Huang","submitted_at":"2009-02-10T10:05:01Z","abstract_excerpt":"We provide a quiver setting for quasi-Hopf algebras, generalizing the Hopf quiver theory. As applications we obtain some general structure theorems, in particular the quasi-Hopf analogue of the Cartier theorem and the Cartier-Gabriel decomposition theorem."},"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":"0902.1620","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2009-02-10T10:05:01Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"79ab7c35486cd68afcd145be42cd4fe7b1b53fe2f49833d7eadceba983681641","abstract_canon_sha256":"bddd364d8f9efeafeb42ce680be3c03453a7ef6c479aaf3d3d04ad25875029ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:48.548291Z","signature_b64":"3GnruSh1ra8jBQKp00Y4Hg9fg/sddK3OC05tPznrL3Cn59j8kuTqKrWKoeH5xycOyMeBkiGZ8Q/uMFG74J0XAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc7208a71bbe40a656346478338c39e4fca7f77cccf2290b0d85d2cc79a5cb87","last_reissued_at":"2026-05-18T02:14:48.547693Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:48.547693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quiver Approaches to Quasi-Hopf Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.QA","authors_text":"Hua-Lin Huang","submitted_at":"2009-02-10T10:05:01Z","abstract_excerpt":"We provide a quiver setting for quasi-Hopf algebras, generalizing the Hopf quiver theory. As applications we obtain some general structure theorems, in particular the quasi-Hopf analogue of the Cartier theorem and the Cartier-Gabriel decomposition theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.1620","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":"0902.1620","created_at":"2026-05-18T02:14:48.547782+00:00"},{"alias_kind":"arxiv_version","alias_value":"0902.1620v1","created_at":"2026-05-18T02:14:48.547782+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.1620","created_at":"2026-05-18T02:14:48.547782+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZRZARJY3XZAK","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZRZARJY3XZAKMVRU","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZRZARJY3","created_at":"2026-05-18T12:26:03.138858+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/ZRZARJY3XZAKMVRUMR4DHDBZ4T","json":"https://pith.science/pith/ZRZARJY3XZAKMVRUMR4DHDBZ4T.json","graph_json":"https://pith.science/api/pith-number/ZRZARJY3XZAKMVRUMR4DHDBZ4T/graph.json","events_json":"https://pith.science/api/pith-number/ZRZARJY3XZAKMVRUMR4DHDBZ4T/events.json","paper":"https://pith.science/paper/ZRZARJY3"},"agent_actions":{"view_html":"https://pith.science/pith/ZRZARJY3XZAKMVRUMR4DHDBZ4T","download_json":"https://pith.science/pith/ZRZARJY3XZAKMVRUMR4DHDBZ4T.json","view_paper":"https://pith.science/paper/ZRZARJY3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0902.1620&json=true","fetch_graph":"https://pith.science/api/pith-number/ZRZARJY3XZAKMVRUMR4DHDBZ4T/graph.json","fetch_events":"https://pith.science/api/pith-number/ZRZARJY3XZAKMVRUMR4DHDBZ4T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZRZARJY3XZAKMVRUMR4DHDBZ4T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZRZARJY3XZAKMVRUMR4DHDBZ4T/action/storage_attestation","attest_author":"https://pith.science/pith/ZRZARJY3XZAKMVRUMR4DHDBZ4T/action/author_attestation","sign_citation":"https://pith.science/pith/ZRZARJY3XZAKMVRUMR4DHDBZ4T/action/citation_signature","submit_replication":"https://pith.science/pith/ZRZARJY3XZAKMVRUMR4DHDBZ4T/action/replication_record"}},"created_at":"2026-05-18T02:14:48.547782+00:00","updated_at":"2026-05-18T02:14:48.547782+00:00"}