{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OGCWT5V3VU7D2GMN5S27RFLZEG","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":"03c5a3e21cb661542bd781e8692c6a503188aa68ceadd9622c7411ec3b8dc64d","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-01T21:50:06Z","title_canon_sha256":"6839db03171a0f01e100a63db7f7eb25f06554a0e9dad0ff1ef5859f00256304"},"schema_version":"1.0","source":{"id":"1203.0328","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.0328","created_at":"2026-05-18T03:19:13Z"},{"alias_kind":"arxiv_version","alias_value":"1203.0328v3","created_at":"2026-05-18T03:19:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.0328","created_at":"2026-05-18T03:19:13Z"},{"alias_kind":"pith_short_12","alias_value":"OGCWT5V3VU7D","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OGCWT5V3VU7D2GMN","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OGCWT5V3","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:7173fb6e5b82e2fc104be4f3fa00a93f826e26257e14a528dd3354a151f724ec","target":"graph","created_at":"2026-05-18T03:19:13Z","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 X=G/P be cominuscule rational homogeneous variety. (Equivalently, X admits the structure of a compact Hermitian symmetric space.) We say a Schubert class [S] is Schur rigid if the only irreducible subvarieties Y of X with homology class [Y] = r [S], for an integer r, are Schubert varieties. Robles and The identified a sufficient condition for a Schubert class to be Schur rigid. In this paper we show that the condition is also necessary.","authors_text":"Colleen Robles","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-01T21:50:06Z","title":"Schur flexibility of cominuscule Schubert varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.0328","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":"sha256:2efa0b6847690b43aec28c137e3e6e7c9687f11e70340b513c920e61e6ac27ad","target":"record","created_at":"2026-05-18T03:19:13Z","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":"03c5a3e21cb661542bd781e8692c6a503188aa68ceadd9622c7411ec3b8dc64d","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-01T21:50:06Z","title_canon_sha256":"6839db03171a0f01e100a63db7f7eb25f06554a0e9dad0ff1ef5859f00256304"},"schema_version":"1.0","source":{"id":"1203.0328","kind":"arxiv","version":3}},"canonical_sha256":"718569f6bbad3e3d198decb5f8957921943dee8d8759f400600b9a4411edcc2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"718569f6bbad3e3d198decb5f8957921943dee8d8759f400600b9a4411edcc2b","first_computed_at":"2026-05-18T03:19:13.433587Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:13.433587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M5q/4XrVIu7m+IelzPvXoG93Z4rfdjJ5glgw+rBdVN5G51dr2DldWGEBtecwXm8QjmyKK1POz4KTNERXyg6hBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:13.434180Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.0328","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2efa0b6847690b43aec28c137e3e6e7c9687f11e70340b513c920e61e6ac27ad","sha256:7173fb6e5b82e2fc104be4f3fa00a93f826e26257e14a528dd3354a151f724ec"],"state_sha256":"dfab26541ea180e347dbe338e1cdd5b9ef6f992214012abfbb8c5c7305209c9e"}