{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:CHNEWBDU4XKJOYB63XWL2S7PFV","short_pith_number":"pith:CHNEWBDU","schema_version":"1.0","canonical_sha256":"11da4b0474e5d497603eddecbd4bef2d4c71235adc16021dcfdcef1ad5d53d15","source":{"kind":"arxiv","id":"1112.6035","version":1},"attestation_state":"computed","paper":{"title":"On Jordan Decomposition of Characters for SU(n,q)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Marc Cabanes","submitted_at":"2011-12-28T00:56:13Z","abstract_excerpt":"As shown by Bonnaf\\'e, a step in proving a Jordan decomposition of characters of finite special linear groups is the parametrization of unipotent characters of centralizers of semi-simple elements in projective linear groups. We show the same kind of result in the case of finite special unitary groups. The proof leads to a mild adaptation of Bonnaf\\'e's methods expounded in [B99]. The outcome is a Jordan decomposition of characters compatible with Lusztig's twisted induction."},"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":"1112.6035","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-12-28T00:56:13Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"2c0e22f4532375bac12bbddfecdba23c94f4655834bbb2667dd9069169024009","abstract_canon_sha256":"a0763a429ac7e8428996284c2f7e7474350fe319678d5dcf9379ce834c4ad375"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:37.033275Z","signature_b64":"qL/wI+Ayk0thCRqWcCrle/6IcEa0a9yE0c6sGR6ZvjXt9Ob3eYGUxAWsKXBuFYN2+lI8GnNcc06c8OH0tM/YAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11da4b0474e5d497603eddecbd4bef2d4c71235adc16021dcfdcef1ad5d53d15","last_reissued_at":"2026-05-18T04:05:37.032777Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:37.032777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Jordan Decomposition of Characters for SU(n,q)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Marc Cabanes","submitted_at":"2011-12-28T00:56:13Z","abstract_excerpt":"As shown by Bonnaf\\'e, a step in proving a Jordan decomposition of characters of finite special linear groups is the parametrization of unipotent characters of centralizers of semi-simple elements in projective linear groups. We show the same kind of result in the case of finite special unitary groups. The proof leads to a mild adaptation of Bonnaf\\'e's methods expounded in [B99]. The outcome is a Jordan decomposition of characters compatible with Lusztig's twisted induction."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.6035","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":"1112.6035","created_at":"2026-05-18T04:05:37.032854+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.6035v1","created_at":"2026-05-18T04:05:37.032854+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.6035","created_at":"2026-05-18T04:05:37.032854+00:00"},{"alias_kind":"pith_short_12","alias_value":"CHNEWBDU4XKJ","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"CHNEWBDU4XKJOYB6","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"CHNEWBDU","created_at":"2026-05-18T12:26:26.731475+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/CHNEWBDU4XKJOYB63XWL2S7PFV","json":"https://pith.science/pith/CHNEWBDU4XKJOYB63XWL2S7PFV.json","graph_json":"https://pith.science/api/pith-number/CHNEWBDU4XKJOYB63XWL2S7PFV/graph.json","events_json":"https://pith.science/api/pith-number/CHNEWBDU4XKJOYB63XWL2S7PFV/events.json","paper":"https://pith.science/paper/CHNEWBDU"},"agent_actions":{"view_html":"https://pith.science/pith/CHNEWBDU4XKJOYB63XWL2S7PFV","download_json":"https://pith.science/pith/CHNEWBDU4XKJOYB63XWL2S7PFV.json","view_paper":"https://pith.science/paper/CHNEWBDU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.6035&json=true","fetch_graph":"https://pith.science/api/pith-number/CHNEWBDU4XKJOYB63XWL2S7PFV/graph.json","fetch_events":"https://pith.science/api/pith-number/CHNEWBDU4XKJOYB63XWL2S7PFV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CHNEWBDU4XKJOYB63XWL2S7PFV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CHNEWBDU4XKJOYB63XWL2S7PFV/action/storage_attestation","attest_author":"https://pith.science/pith/CHNEWBDU4XKJOYB63XWL2S7PFV/action/author_attestation","sign_citation":"https://pith.science/pith/CHNEWBDU4XKJOYB63XWL2S7PFV/action/citation_signature","submit_replication":"https://pith.science/pith/CHNEWBDU4XKJOYB63XWL2S7PFV/action/replication_record"}},"created_at":"2026-05-18T04:05:37.032854+00:00","updated_at":"2026-05-18T04:05:37.032854+00:00"}