{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:6DU4MLAQS2HF6NAPDNVL2LTMKC","short_pith_number":"pith:6DU4MLAQ","schema_version":"1.0","canonical_sha256":"f0e9c62c10968e5f340f1b6abd2e6c5092cb223fb84a9db43036fb086f8927be","source":{"kind":"arxiv","id":"1602.08584","version":2},"attestation_state":"computed","paper":{"title":"Harish-Chandra invariants and the centre of the reduced enveloping algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Lewis W. Topley","submitted_at":"2016-02-27T12:16:47Z","abstract_excerpt":"In this article we consider the centre of the reduced enveloping algebra of the Lie algebra of a reductive algebraic group in very good characteristic p > 2. The Harish-Chandra centre maps to the centre of each reduced enveloping algebra and, using a combination of induction and deformation arguments, we describe precisely for which p-characters this map is surjective: it is if and only if the chosen character is regular. This provides the converse to a theorem of Mirkovi\\'{c} and Rumynin."},"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":"1602.08584","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-02-27T12:16:47Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"7c350d71d2ddacbdaddfb1b38ef2cfed3990006f8743e52bbad3722134d3cacd","abstract_canon_sha256":"54d0328faeae14b5faad3fdcaedb32a9d03cbdc0ff9242ae501689ef15dde990"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:40.311407Z","signature_b64":"ObODQE3dCPMsjDMFezHUIYkMKScgFRT4z2BOwjAJ4RPvlwFfc835QMf91YwybTjrD+NccHf135iYoZGbMUCnDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0e9c62c10968e5f340f1b6abd2e6c5092cb223fb84a9db43036fb086f8927be","last_reissued_at":"2026-05-18T01:12:40.311066Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:40.311066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Harish-Chandra invariants and the centre of the reduced enveloping algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Lewis W. Topley","submitted_at":"2016-02-27T12:16:47Z","abstract_excerpt":"In this article we consider the centre of the reduced enveloping algebra of the Lie algebra of a reductive algebraic group in very good characteristic p > 2. The Harish-Chandra centre maps to the centre of each reduced enveloping algebra and, using a combination of induction and deformation arguments, we describe precisely for which p-characters this map is surjective: it is if and only if the chosen character is regular. This provides the converse to a theorem of Mirkovi\\'{c} and Rumynin."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.08584","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1602.08584","created_at":"2026-05-18T01:12:40.311119+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.08584v2","created_at":"2026-05-18T01:12:40.311119+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.08584","created_at":"2026-05-18T01:12:40.311119+00:00"},{"alias_kind":"pith_short_12","alias_value":"6DU4MLAQS2HF","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_16","alias_value":"6DU4MLAQS2HF6NAP","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_8","alias_value":"6DU4MLAQ","created_at":"2026-05-18T12:30:01.593930+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/6DU4MLAQS2HF6NAPDNVL2LTMKC","json":"https://pith.science/pith/6DU4MLAQS2HF6NAPDNVL2LTMKC.json","graph_json":"https://pith.science/api/pith-number/6DU4MLAQS2HF6NAPDNVL2LTMKC/graph.json","events_json":"https://pith.science/api/pith-number/6DU4MLAQS2HF6NAPDNVL2LTMKC/events.json","paper":"https://pith.science/paper/6DU4MLAQ"},"agent_actions":{"view_html":"https://pith.science/pith/6DU4MLAQS2HF6NAPDNVL2LTMKC","download_json":"https://pith.science/pith/6DU4MLAQS2HF6NAPDNVL2LTMKC.json","view_paper":"https://pith.science/paper/6DU4MLAQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.08584&json=true","fetch_graph":"https://pith.science/api/pith-number/6DU4MLAQS2HF6NAPDNVL2LTMKC/graph.json","fetch_events":"https://pith.science/api/pith-number/6DU4MLAQS2HF6NAPDNVL2LTMKC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6DU4MLAQS2HF6NAPDNVL2LTMKC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6DU4MLAQS2HF6NAPDNVL2LTMKC/action/storage_attestation","attest_author":"https://pith.science/pith/6DU4MLAQS2HF6NAPDNVL2LTMKC/action/author_attestation","sign_citation":"https://pith.science/pith/6DU4MLAQS2HF6NAPDNVL2LTMKC/action/citation_signature","submit_replication":"https://pith.science/pith/6DU4MLAQS2HF6NAPDNVL2LTMKC/action/replication_record"}},"created_at":"2026-05-18T01:12:40.311119+00:00","updated_at":"2026-05-18T01:12:40.311119+00:00"}