{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:4JJE4YEH6XCSOJ55HEDFI4UKMT","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":"a646fa0b58c427fd3054f327db02b303edaeb214f1914b2b472d34ffb40390a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-11-13T13:11:48Z","title_canon_sha256":"4aed1bbf4db36d184f81528c0365f9bb9c081e54af9392a500ca952f3fe78899"},"schema_version":"1.0","source":{"id":"0911.2606","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.2606","created_at":"2026-05-18T02:25:26Z"},{"alias_kind":"arxiv_version","alias_value":"0911.2606v4","created_at":"2026-05-18T02:25:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.2606","created_at":"2026-05-18T02:25:26Z"},{"alias_kind":"pith_short_12","alias_value":"4JJE4YEH6XCS","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"4JJE4YEH6XCSOJ55","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"4JJE4YEH","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:eb0ad4c9888b21af2e1c9e30897185fbe5e0b9d456943261044218764a4d0d2e","target":"graph","created_at":"2026-05-18T02:25:26Z","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 paper we give a splitting criterion for uniform vector bundles on Fano manifolds covered by lines. As a consequence, we classify low rank uniform vector bundles on Hermitian symmetric spaces and Fano bundles of rank two on Grassmannians.","authors_text":"Gianluca Occhetta, Luis E. Sola Conde, Roberto Munoz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-11-13T13:11:48Z","title":"Uniform vector bundles on Fano manifolds and applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.2606","kind":"arxiv","version":4},"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:a3f18f3fdb6c6795b03f6d320f3f3eb9e7e5825d03f99d7ccc76f92220410842","target":"record","created_at":"2026-05-18T02:25:26Z","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":"a646fa0b58c427fd3054f327db02b303edaeb214f1914b2b472d34ffb40390a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-11-13T13:11:48Z","title_canon_sha256":"4aed1bbf4db36d184f81528c0365f9bb9c081e54af9392a500ca952f3fe78899"},"schema_version":"1.0","source":{"id":"0911.2606","kind":"arxiv","version":4}},"canonical_sha256":"e2524e6087f5c52727bd390654728a64e520ae3999d411f1f8b77d023474c1bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2524e6087f5c52727bd390654728a64e520ae3999d411f1f8b77d023474c1bc","first_computed_at":"2026-05-18T02:25:26.878943Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:26.878943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1/Oy9Ezrrc7D6oa0//HrJzVgQc00Fgg+XZ4D/5aOxdjbl02iH27LDQCFPdt0Nw9Ilb9niOza7RN5VG6Td+ewAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:26.879498Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.2606","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3f18f3fdb6c6795b03f6d320f3f3eb9e7e5825d03f99d7ccc76f92220410842","sha256:eb0ad4c9888b21af2e1c9e30897185fbe5e0b9d456943261044218764a4d0d2e"],"state_sha256":"1cc3d4663a9675e43bfbf0b43da1499d355221da8e47fd990764b059fa655455"}