{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:6CUP5ZGDRNGODVPLOCRBORGBDV","short_pith_number":"pith:6CUP5ZGD","schema_version":"1.0","canonical_sha256":"f0a8fee4c38b4ce1d5eb70a21744c11d42fe62c094b4c50cd8e8b6ce5b818f8d","source":{"kind":"arxiv","id":"1501.07881","version":1},"attestation_state":"computed","paper":{"title":"Invariant theory for quantum Weyl algebras under finite group action","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"James Zhang, John H. Palmieri, Secil Ceken, Yanhua Wang","submitted_at":"2015-01-30T18:47:28Z","abstract_excerpt":"We study the invariant theory of a class of quantum Weyl algebras under group actions and prove that the fixed subrings are always Gorenstein. We also verify the Tits alternative for the automorphism groups of these quantum Weyl algebras."},"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":"1501.07881","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-01-30T18:47:28Z","cross_cats_sorted":[],"title_canon_sha256":"cac13bb0069e8f8408093f757e039085015b401c4be52dc66209ce246800f3e6","abstract_canon_sha256":"9785bb9024f0d88441814d97c7fadac40beccfdadf87e91b1f0c0d06e5fada9d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:13.852079Z","signature_b64":"ICUFRc+i0KBdfgMfMAoHXAb1Q3UnXDj0VjHbUgOoiUauek4fWPtsRUbhPAxjcz9ZqNkTnI18105gNxHR3gSVCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0a8fee4c38b4ce1d5eb70a21744c11d42fe62c094b4c50cd8e8b6ce5b818f8d","last_reissued_at":"2026-05-18T02:28:13.851361Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:13.851361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Invariant theory for quantum Weyl algebras under finite group action","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"James Zhang, John H. Palmieri, Secil Ceken, Yanhua Wang","submitted_at":"2015-01-30T18:47:28Z","abstract_excerpt":"We study the invariant theory of a class of quantum Weyl algebras under group actions and prove that the fixed subrings are always Gorenstein. We also verify the Tits alternative for the automorphism groups of these quantum Weyl algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.07881","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":"1501.07881","created_at":"2026-05-18T02:28:13.851482+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.07881v1","created_at":"2026-05-18T02:28:13.851482+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.07881","created_at":"2026-05-18T02:28:13.851482+00:00"},{"alias_kind":"pith_short_12","alias_value":"6CUP5ZGDRNGO","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"6CUP5ZGDRNGODVPL","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"6CUP5ZGD","created_at":"2026-05-18T12:29:07.941421+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/6CUP5ZGDRNGODVPLOCRBORGBDV","json":"https://pith.science/pith/6CUP5ZGDRNGODVPLOCRBORGBDV.json","graph_json":"https://pith.science/api/pith-number/6CUP5ZGDRNGODVPLOCRBORGBDV/graph.json","events_json":"https://pith.science/api/pith-number/6CUP5ZGDRNGODVPLOCRBORGBDV/events.json","paper":"https://pith.science/paper/6CUP5ZGD"},"agent_actions":{"view_html":"https://pith.science/pith/6CUP5ZGDRNGODVPLOCRBORGBDV","download_json":"https://pith.science/pith/6CUP5ZGDRNGODVPLOCRBORGBDV.json","view_paper":"https://pith.science/paper/6CUP5ZGD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.07881&json=true","fetch_graph":"https://pith.science/api/pith-number/6CUP5ZGDRNGODVPLOCRBORGBDV/graph.json","fetch_events":"https://pith.science/api/pith-number/6CUP5ZGDRNGODVPLOCRBORGBDV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6CUP5ZGDRNGODVPLOCRBORGBDV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6CUP5ZGDRNGODVPLOCRBORGBDV/action/storage_attestation","attest_author":"https://pith.science/pith/6CUP5ZGDRNGODVPLOCRBORGBDV/action/author_attestation","sign_citation":"https://pith.science/pith/6CUP5ZGDRNGODVPLOCRBORGBDV/action/citation_signature","submit_replication":"https://pith.science/pith/6CUP5ZGDRNGODVPLOCRBORGBDV/action/replication_record"}},"created_at":"2026-05-18T02:28:13.851482+00:00","updated_at":"2026-05-18T02:28:13.851482+00:00"}