{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SO367X7IBQNCEMEI6OGSDEKPJN","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":"1b336bbe8b7f804d0b258df3bcb49f66f817ff0841f9001c77115679cf06a2b2","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-11-24T20:05:16Z","title_canon_sha256":"535dc84742810969c4b4b526e30d86e9912e64ce4cd93b66a9c64cc294db70c3"},"schema_version":"1.0","source":{"id":"1011.5478","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.5478","created_at":"2026-05-18T03:30:26Z"},{"alias_kind":"arxiv_version","alias_value":"1011.5478v2","created_at":"2026-05-18T03:30:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.5478","created_at":"2026-05-18T03:30:26Z"},{"alias_kind":"pith_short_12","alias_value":"SO367X7IBQNC","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SO367X7IBQNCEMEI","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SO367X7I","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:f4e69b91a2e5c39a214ddd21769f88fedb6a86eba8786b9f5ca6031d35fa0b72","target":"graph","created_at":"2026-05-18T03:30:26Z","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":"The purpose of this paper is to discuss the validity of the assumptions (W) and (S) stated in a previous work, about the torsion in the modular l-adic cohomology of Deligne-Lusztig varieties associated to Coxeter elements. We prove that both (W) and (S) hold except for groups of type E_7 or E_8.","authors_text":"Olivier Dudas (MI)","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-11-24T20:05:16Z","title":"Coxeter orbits and Brauer trees II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.5478","kind":"arxiv","version":2},"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":"sha256:729f1c01b0382c6735dc21d2b8b6457acbbbd692da561ed2bb7fce38853b16f2","target":"record","created_at":"2026-05-18T03:30:26Z","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":"1b336bbe8b7f804d0b258df3bcb49f66f817ff0841f9001c77115679cf06a2b2","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-11-24T20:05:16Z","title_canon_sha256":"535dc84742810969c4b4b526e30d86e9912e64ce4cd93b66a9c64cc294db70c3"},"schema_version":"1.0","source":{"id":"1011.5478","kind":"arxiv","version":2}},"canonical_sha256":"93b7efdfe80c1a223088f38d21914f4b48e9a2e8b349e4da4be35d60af08d795","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93b7efdfe80c1a223088f38d21914f4b48e9a2e8b349e4da4be35d60af08d795","first_computed_at":"2026-05-18T03:30:26.119366Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:26.119366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8ftdNQ0xcGSJpf4wTYyqlzJ32z1orUiwDxhzAO6VUP2F7ODUEFfsFHlKlfHZQHcg5XUb5vwgnr0YJuvJQlc5DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:26.119859Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.5478","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:729f1c01b0382c6735dc21d2b8b6457acbbbd692da561ed2bb7fce38853b16f2","sha256:f4e69b91a2e5c39a214ddd21769f88fedb6a86eba8786b9f5ca6031d35fa0b72"],"state_sha256":"17d63c3f52a295192bd8df2ea496ea42f74e93c942f83a84834f9b75052c9514"}