{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZJVMIU76JP533BXRXEFDD3Y5VU","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":"1973938f85907dbaa95c4e4db676c1b047ea96527076bc51a125743ca0b9cd31","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-03-11T08:46:15Z","title_canon_sha256":"cdba28ef3e8d8f86017f139d2613c926bdea36e89d22429292129c0a64012340"},"schema_version":"1.0","source":{"id":"1503.03217","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.03217","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"arxiv_version","alias_value":"1503.03217v5","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.03217","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"pith_short_12","alias_value":"ZJVMIU76JP53","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZJVMIU76JP533BXR","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZJVMIU76","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:79f550d93622b0e603f58fd2322e978afd199cc4de21407d97f3ce63c8d32844","target":"graph","created_at":"2026-05-18T01:23:38Z","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 express the diagonals of projective, Grassmann and, more generally, flag bundles of type (A) using the zero schemes of some vector bundle sections, and do the same for their single point subschemes. We discuss diagonal and point properties of these flag bundles. We study when the complex manifolds G/B for other groups have the point and diagonal properties. We discuss explicit formulas for the classes of diagonals of the varieties G/B.","authors_text":"Piotr Pragacz, Shizuo Kaji","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-03-11T08:46:15Z","title":"Diagonals of flag bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.03217","kind":"arxiv","version":5},"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":"sha256:774964c6e69d7ca7d320d729c92029d6b237f1faf661d8d5630712c947a1bd57","target":"record","created_at":"2026-05-18T01:23:38Z","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":"1973938f85907dbaa95c4e4db676c1b047ea96527076bc51a125743ca0b9cd31","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-03-11T08:46:15Z","title_canon_sha256":"cdba28ef3e8d8f86017f139d2613c926bdea36e89d22429292129c0a64012340"},"schema_version":"1.0","source":{"id":"1503.03217","kind":"arxiv","version":5}},"canonical_sha256":"ca6ac453fe4bfbbd86f1b90a31ef1dad177eecca299ae9a86aa00ee7741bda2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca6ac453fe4bfbbd86f1b90a31ef1dad177eecca299ae9a86aa00ee7741bda2e","first_computed_at":"2026-05-18T01:23:38.468279Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:38.468279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TaXnJ2o1K6d5hlBQK6N9eg9ufFd4Cns2w3cf4AF+UAfva3O4ceUVW18vL0jHAYP52d1t4r21i/VZ+1TWEOEmDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:38.469046Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.03217","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:774964c6e69d7ca7d320d729c92029d6b237f1faf661d8d5630712c947a1bd57","sha256:79f550d93622b0e603f58fd2322e978afd199cc4de21407d97f3ce63c8d32844"],"state_sha256":"20a82d1b99ea93de6c86d730f40f1a94c7e9a30e0021af60c58e561e6b75e102"}