{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5FP72TMZ7SWA5QXZIKDQSNXDH6","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":"415876571e05a6e8d9ade4b92623d72fea3046e8d191d0e22b0cb920594dc9e0","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-02-09T20:38:07Z","title_canon_sha256":"c308522567782a2df0b08531ae459c5b37f7b891d5e521a05e3469da6f6e5475"},"schema_version":"1.0","source":{"id":"1102.1966","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1966","created_at":"2026-05-18T04:29:43Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1966v1","created_at":"2026-05-18T04:29:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1966","created_at":"2026-05-18T04:29:43Z"},{"alias_kind":"pith_short_12","alias_value":"5FP72TMZ7SWA","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5FP72TMZ7SWA5QXZ","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5FP72TMZ","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:aae90d3d7ccb026b283b868c57ba83046a61c2eb5a1824267692cfc031791c38","target":"graph","created_at":"2026-05-18T04:29:43Z","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":"Given a singular Schubert variety Z in a compact Hermitian symmetric space it is a longstanding question to determine when Z is homologous to a smooth variety Y. We identify those Schubert varieties for which there exist first-order obstructions to the existence of Y. This extends (independent) work of M. Walters, R. Bryant and J. Hong.\n  Key tools include: (i) a new characterization of Schubert varieties that generalizes the well known description of the smooth Schubert varieties by connected sub-diagrams of a Dynkin diagram; and (ii) an algebraic Laplacian (a la Kostant), which is used to an","authors_text":"C. Robles, D. The","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-02-09T20:38:07Z","title":"Rigid Schubert varieties in compact Hermitian symmetric spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1966","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":"sha256:668fddfc0e1d9841b03b5bc58631966eccc60f491578f41c4780a17b79548846","target":"record","created_at":"2026-05-18T04:29:43Z","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":"415876571e05a6e8d9ade4b92623d72fea3046e8d191d0e22b0cb920594dc9e0","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-02-09T20:38:07Z","title_canon_sha256":"c308522567782a2df0b08531ae459c5b37f7b891d5e521a05e3469da6f6e5475"},"schema_version":"1.0","source":{"id":"1102.1966","kind":"arxiv","version":1}},"canonical_sha256":"e95ffd4d99fcac0ec2f942870936e33f9ba08ae96b3a5c75c6a52032f7029da2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e95ffd4d99fcac0ec2f942870936e33f9ba08ae96b3a5c75c6a52032f7029da2","first_computed_at":"2026-05-18T04:29:43.942211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:29:43.942211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V84ICr79hvW85PcjFG2EIMsP3h4j7KCc/zzi7jcKbRsaXBYGtoYPh9UPOkTmSS2wgLK+QTJBkTmVuQhnIN55DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:29:43.942816Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.1966","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:668fddfc0e1d9841b03b5bc58631966eccc60f491578f41c4780a17b79548846","sha256:aae90d3d7ccb026b283b868c57ba83046a61c2eb5a1824267692cfc031791c38"],"state_sha256":"c9e211487538e48a954563373ad530c6056980870a3561c503993e143e7491a6"}