{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3KWHSMHOWNHPOE2KADJAESLMV4","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":"bfc11cbdd66596cff72c841e28aa0a7bcfdeb739e511b7272e9e24aa8c6aac59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-11T09:38:51Z","title_canon_sha256":"2a8f7672db6b0c086d886cf4fdbb6108035cf957ec033228e51236e4682f9ee3"},"schema_version":"1.0","source":{"id":"1307.3030","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.3030","created_at":"2026-05-18T03:15:17Z"},{"alias_kind":"arxiv_version","alias_value":"1307.3030v2","created_at":"2026-05-18T03:15:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3030","created_at":"2026-05-18T03:15:17Z"},{"alias_kind":"pith_short_12","alias_value":"3KWHSMHOWNHP","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3KWHSMHOWNHPOE2K","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3KWHSMHO","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:130bc526ed9b21a0cd05d7d711c77d319b045a79d25cebfacb29fd76a4c8342e","target":"graph","created_at":"2026-05-18T03:15:17Z","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":"In this note we extend connectedness results to formal properties of inverse images under proper maps of Schubert varieties and of the diagonal in products of projective rational homogeneous spaces","authors_text":"Jorge Caravantes, Nicolas Perrin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-11T09:38:51Z","title":"Formal properties in small codimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3030","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":"sha256:1f3bc7bf3ef77669af83505f7608221746cdc327031cd49669664c6ab3ac96ac","target":"record","created_at":"2026-05-18T03:15:17Z","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":"bfc11cbdd66596cff72c841e28aa0a7bcfdeb739e511b7272e9e24aa8c6aac59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-11T09:38:51Z","title_canon_sha256":"2a8f7672db6b0c086d886cf4fdbb6108035cf957ec033228e51236e4682f9ee3"},"schema_version":"1.0","source":{"id":"1307.3030","kind":"arxiv","version":2}},"canonical_sha256":"daac7930eeb34ef7134a00d202496caf343d02b4dc2c54feaf65db14baf331e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"daac7930eeb34ef7134a00d202496caf343d02b4dc2c54feaf65db14baf331e0","first_computed_at":"2026-05-18T03:15:17.906096Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:17.906096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iYg6kHNkZOzg5EjZJjdb+0uti19xnMA/22G6S3PDo2hvrf2hmWyBozrkgftHDKXqouWwBU1C6vrclS0c9ZjhAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:17.906997Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.3030","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f3bc7bf3ef77669af83505f7608221746cdc327031cd49669664c6ab3ac96ac","sha256:130bc526ed9b21a0cd05d7d711c77d319b045a79d25cebfacb29fd76a4c8342e"],"state_sha256":"65c4baf12ba326f86e08754f709d942ff7267d3dec97f80d44fb121bdf050a93"}