{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:GFSRAX5FCIR2TVUI2RZAOC5ZNF","short_pith_number":"pith:GFSRAX5F","schema_version":"1.0","canonical_sha256":"3165105fa51223a9d688d472070bb9695e7a5a0f40a702581d95ce5d42d63086","source":{"kind":"arxiv","id":"1311.0278","version":1},"attestation_state":"computed","paper":{"title":"Unipotent and Nakayama automorphisms of quantum nilpotent algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.QA","authors_text":"K.R. Goodearl, M.T. Yakimov","submitted_at":"2013-11-01T19:50:20Z","abstract_excerpt":"Automorphisms of algebras $R$ from a very large axiomatic class of quantum nilpotent algebras are studied using techniques from noncommutative unique factorization domains and quantum cluster algebras. First, the Nakayama automorphism of $R$ (associated to its structure as a twisted Calabi-Yau algebra) is determined and shown to be given by conjugation by a normal element, namely, the product of the homogeneous prime elements of $R$ (there are finitely many up to associates). Second, in the case when $R$ is connected graded, the unipotent automorphisms of $R$ are classified up to minor excepti"},"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":"1311.0278","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-11-01T19:50:20Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"4a3a3a420aba23ce8578be1e4b320a73a01b41367d473d5227f6dbf4b3d35c78","abstract_canon_sha256":"305acb33973b63bf9f0d034a9078627ada04763bd7668454c68e988932b69f7b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:15.171248Z","signature_b64":"csuxfgEqOKRSM0PGmLSeQL3JZeF7ZV9Dx+2GMHWFoiCTHT2rZuFC56NK3IzhFG00rnrU3UYg4ALY6pLUpjiNBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3165105fa51223a9d688d472070bb9695e7a5a0f40a702581d95ce5d42d63086","last_reissued_at":"2026-05-18T03:08:15.170792Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:15.170792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unipotent and Nakayama automorphisms of quantum nilpotent algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.QA","authors_text":"K.R. Goodearl, M.T. Yakimov","submitted_at":"2013-11-01T19:50:20Z","abstract_excerpt":"Automorphisms of algebras $R$ from a very large axiomatic class of quantum nilpotent algebras are studied using techniques from noncommutative unique factorization domains and quantum cluster algebras. First, the Nakayama automorphism of $R$ (associated to its structure as a twisted Calabi-Yau algebra) is determined and shown to be given by conjugation by a normal element, namely, the product of the homogeneous prime elements of $R$ (there are finitely many up to associates). Second, in the case when $R$ is connected graded, the unipotent automorphisms of $R$ are classified up to minor excepti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0278","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":"1311.0278","created_at":"2026-05-18T03:08:15.170856+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.0278v1","created_at":"2026-05-18T03:08:15.170856+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0278","created_at":"2026-05-18T03:08:15.170856+00:00"},{"alias_kind":"pith_short_12","alias_value":"GFSRAX5FCIR2","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"GFSRAX5FCIR2TVUI","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"GFSRAX5F","created_at":"2026-05-18T12:27:45.050594+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/GFSRAX5FCIR2TVUI2RZAOC5ZNF","json":"https://pith.science/pith/GFSRAX5FCIR2TVUI2RZAOC5ZNF.json","graph_json":"https://pith.science/api/pith-number/GFSRAX5FCIR2TVUI2RZAOC5ZNF/graph.json","events_json":"https://pith.science/api/pith-number/GFSRAX5FCIR2TVUI2RZAOC5ZNF/events.json","paper":"https://pith.science/paper/GFSRAX5F"},"agent_actions":{"view_html":"https://pith.science/pith/GFSRAX5FCIR2TVUI2RZAOC5ZNF","download_json":"https://pith.science/pith/GFSRAX5FCIR2TVUI2RZAOC5ZNF.json","view_paper":"https://pith.science/paper/GFSRAX5F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.0278&json=true","fetch_graph":"https://pith.science/api/pith-number/GFSRAX5FCIR2TVUI2RZAOC5ZNF/graph.json","fetch_events":"https://pith.science/api/pith-number/GFSRAX5FCIR2TVUI2RZAOC5ZNF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GFSRAX5FCIR2TVUI2RZAOC5ZNF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GFSRAX5FCIR2TVUI2RZAOC5ZNF/action/storage_attestation","attest_author":"https://pith.science/pith/GFSRAX5FCIR2TVUI2RZAOC5ZNF/action/author_attestation","sign_citation":"https://pith.science/pith/GFSRAX5FCIR2TVUI2RZAOC5ZNF/action/citation_signature","submit_replication":"https://pith.science/pith/GFSRAX5FCIR2TVUI2RZAOC5ZNF/action/replication_record"}},"created_at":"2026-05-18T03:08:15.170856+00:00","updated_at":"2026-05-18T03:08:15.170856+00:00"}