{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:NTHMS2LPZJFKDDNJFLIFTJ5CJG","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":"935d98701c72b906ca81860c3b612fd04dce59f77b8e1e48b1a105d9d2741c9b","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-02-02T13:13:13Z","title_canon_sha256":"61f82fe8e5823aad0bca91d28ae76c1cd5282c8c3e976ff5599f55f7ca801a93"},"schema_version":"1.0","source":{"id":"1902.00713","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.00713","created_at":"2026-05-17T23:54:52Z"},{"alias_kind":"arxiv_version","alias_value":"1902.00713v1","created_at":"2026-05-17T23:54:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.00713","created_at":"2026-05-17T23:54:52Z"},{"alias_kind":"pith_short_12","alias_value":"NTHMS2LPZJFK","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"NTHMS2LPZJFKDDNJ","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"NTHMS2LP","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:aab391d000331b7a52f8b8705e63ec981e51b75ce668e1099dfa7a39c4dabaf8","target":"graph","created_at":"2026-05-17T23:54:52Z","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":"We compute the topological Witt groups of every complex flag manifold of ordinary type, and thus the interesting (i.e. torsion) part of the KO-groups of these manifolds. Equivalently, we compute Balmer's Witt groups of each flag variety of ordinary type over an algebraically closed field of characteristic not two. Our computation is based on an approach developed by Zibrowius. For types A, B and C, we obtain a full description not only of the additive but also of the multiplicative structure of the graded Witt rings.","authors_text":"Tobias Hemmert","cross_cats":["math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-02-02T13:13:13Z","title":"KO-theory of complex flag varieties of ordinary type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.00713","kind":"arxiv","version":1},"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":"sha256:6b75bc665a0e2e95af619d9b9e0feabf898002b89ebd2cefbfe820fc3448b45f","target":"record","created_at":"2026-05-17T23:54:52Z","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":"935d98701c72b906ca81860c3b612fd04dce59f77b8e1e48b1a105d9d2741c9b","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-02-02T13:13:13Z","title_canon_sha256":"61f82fe8e5823aad0bca91d28ae76c1cd5282c8c3e976ff5599f55f7ca801a93"},"schema_version":"1.0","source":{"id":"1902.00713","kind":"arxiv","version":1}},"canonical_sha256":"6ccec9696fca4aa18da92ad059a7a24991817f5b24810c6caab2e4f89a241c0c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ccec9696fca4aa18da92ad059a7a24991817f5b24810c6caab2e4f89a241c0c","first_computed_at":"2026-05-17T23:54:52.371459Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:52.371459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uwYNEgl9weOVZgGkbCMfWyX+oPM9BcWWhUFZml9uEpALURbHMzv88tQmfUzNsiOmhZ/a1Fjlv+nNvzQmfXsjAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:52.371867Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.00713","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6b75bc665a0e2e95af619d9b9e0feabf898002b89ebd2cefbfe820fc3448b45f","sha256:aab391d000331b7a52f8b8705e63ec981e51b75ce668e1099dfa7a39c4dabaf8"],"state_sha256":"4db0699d5b7b9fa6ac306416b47f822eb8568207819f3e8067b502f3f1b28064"}