{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ORCUIVL4Z5H3FF6HWNBJXFFZRM","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":"6b828689e033ee940103edb2f6c7bf033f80f6a3ead6e64f5299a7ecbe847bd6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-05-28T13:51:23Z","title_canon_sha256":"7dab31d8070c6c876e7600e2841f0a353d8d36d13d745d22c1c81ee2f99bf2a3"},"schema_version":"1.0","source":{"id":"1305.6492","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.6492","created_at":"2026-05-18T02:26:59Z"},{"alias_kind":"arxiv_version","alias_value":"1305.6492v2","created_at":"2026-05-18T02:26:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.6492","created_at":"2026-05-18T02:26:59Z"},{"alias_kind":"pith_short_12","alias_value":"ORCUIVL4Z5H3","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"ORCUIVL4Z5H3FF6H","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"ORCUIVL4","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:3cfe13cc0514922487f356dbfc38c1106b01c87e18d930ec5bbac2289ff8a9d3","target":"graph","created_at":"2026-05-18T02:26:59Z","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":"Calm\\`es and Fasel have shown that the twisted Witt groups of split flag varieties vanish in a large number of cases. For flag varieties over algebraically closed fields, we sharpen their result to an if-and-only-if statement. In particular, we show that the twisted Witt groups vanish in many previously unknown cases. In the non-zero cases, we find that the twisted total Witt group forms a free module of rank one over the untwisted total Witt group, up to a difference in grading.\n  Our proof relies on an identification of the Witt groups of flag varieties with the Tate cohomology groups of the","authors_text":"Marcus Zibrowius","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-05-28T13:51:23Z","title":"Twisted Witt Groups of Flag Varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.6492","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:b5b6fa632bb5d936d09a5d66a4fa4ea1898bba7fd6edad7d05d4b5e536cda156","target":"record","created_at":"2026-05-18T02:26:59Z","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":"6b828689e033ee940103edb2f6c7bf033f80f6a3ead6e64f5299a7ecbe847bd6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-05-28T13:51:23Z","title_canon_sha256":"7dab31d8070c6c876e7600e2841f0a353d8d36d13d745d22c1c81ee2f99bf2a3"},"schema_version":"1.0","source":{"id":"1305.6492","kind":"arxiv","version":2}},"canonical_sha256":"744544557ccf4fb297c7b3429b94b98b1afae181c2d6f2cd3434c32b1c273d05","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"744544557ccf4fb297c7b3429b94b98b1afae181c2d6f2cd3434c32b1c273d05","first_computed_at":"2026-05-18T02:26:59.081145Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:59.081145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b3FYtt1DYRSOYVVvmUNREppKiCn0Srz6cCcC76xtCTTRQASFxSKoKm0pLLr+JrLYaoX/lllzOyLRQIv82febBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:59.081589Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.6492","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5b6fa632bb5d936d09a5d66a4fa4ea1898bba7fd6edad7d05d4b5e536cda156","sha256:3cfe13cc0514922487f356dbfc38c1106b01c87e18d930ec5bbac2289ff8a9d3"],"state_sha256":"c455661a8d3c11e686edc8f555d9419320fdaa31265c96858ca39a6ef2f180ce"}