{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:I6IIKSMIKUHY2V3YZYJQ5IG4JE","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"94219d76d46132dd4e852579b8c2039a8f24868f563f50ffe13681a8174d01e3","cross_cats_sorted":["math.CT","math.RA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-01-07T12:18:05Z","title_canon_sha256":"d0862b8c100e4a01bc72f3389580ce409f58e0e38b0e56eda5f2a05323ddd6ac"},"schema_version":"1.0","source":{"id":"1501.01461","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01461","created_at":"2026-05-18T02:27:56Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01461v3","created_at":"2026-05-18T02:27:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01461","created_at":"2026-05-18T02:27:56Z"},{"alias_kind":"pith_short_12","alias_value":"I6IIKSMIKUHY","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"I6IIKSMIKUHY2V3Y","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"I6IIKSMI","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:84ded8059309e17e239e99c927b0a17017c402f3b5338e7f69458bb94dc05fa0","target":"graph","created_at":"2026-05-18T02:27:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Let $\\overline\\F\\_p$ be the algebraic closure of the prime field of characteristic $p$. After observing that the principal block $B$ of $\\overline\\F\\_pPSU(3,p^r)$ is stably equivalent of Morita type to its Brauer correspondent $b$, we show however that the centre of $B$ is not isomorphic as an algebra to the centre of $b$ in the cases $p^r\\in\\{3,4,5,8\\}$. As a consequence, the algebra $B\\otimes\\_{\\overline{\\F}\\_p}\\overline \\F\\_p[X]/X^p$ is not stably equivalent of Morita type to $b\\otimes\\_{\\overline\\F\\_p}\\overline\\F\\_p[X]/X^p$ in these cases. This yields a negative answer to a question of Ric","authors_text":"Alexander Zimmermann (LAMFA), Serge Bouc (LAMFA)","cross_cats":["math.CT","math.RA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-01-07T12:18:05Z","title":"On a question of Rickard on tensor product of stably equivalent algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01461","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5bacebea98d64eac26c72410d26f93b9996eea3c72ec95ba62d28b6abd51c1ce","target":"record","created_at":"2026-05-18T02:27:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"94219d76d46132dd4e852579b8c2039a8f24868f563f50ffe13681a8174d01e3","cross_cats_sorted":["math.CT","math.RA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-01-07T12:18:05Z","title_canon_sha256":"d0862b8c100e4a01bc72f3389580ce409f58e0e38b0e56eda5f2a05323ddd6ac"},"schema_version":"1.0","source":{"id":"1501.01461","kind":"arxiv","version":3}},"canonical_sha256":"4790854988550f8d5778ce130ea0dc490a28f28b51b44eea82c1c181d1cd75a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4790854988550f8d5778ce130ea0dc490a28f28b51b44eea82c1c181d1cd75a4","first_computed_at":"2026-05-18T02:27:56.789786Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:56.789786Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NXzpvevbTm1NFSfgmJPdiEZY1XjUJzuetgauS+WsT0xnbTEEoxHMNVLaVemkbUilwt1McSMywMs+qN1ZahuyAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:56.790181Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.01461","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5bacebea98d64eac26c72410d26f93b9996eea3c72ec95ba62d28b6abd51c1ce","sha256:84ded8059309e17e239e99c927b0a17017c402f3b5338e7f69458bb94dc05fa0"],"state_sha256":"80774146b8cf8a6b69fbc4b8ba4e4143bf2e4370362bb131bc133a3dc24e8332"}