{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KEM5CNZMOM2IBZHVQVBYAMUKI5","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":"ff7b7d0c43a0422a963405887eace2405f5b84b29e6ca173989dd1e488b6a726","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-09-12T17:00:05Z","title_canon_sha256":"339154121562d3efa9f64c5d794869338ea217099dd2a2f94622ae1aed3c7466"},"schema_version":"1.0","source":{"id":"1409.3789","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.3789","created_at":"2026-05-18T02:42:54Z"},{"alias_kind":"arxiv_version","alias_value":"1409.3789v1","created_at":"2026-05-18T02:42:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3789","created_at":"2026-05-18T02:42:54Z"},{"alias_kind":"pith_short_12","alias_value":"KEM5CNZMOM2I","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KEM5CNZMOM2IBZHV","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KEM5CNZM","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:29e295b9d8a806927d5a9846c63c235e649627ed85b0296828f9fde80722cc92","target":"graph","created_at":"2026-05-18T02:42:54Z","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 E be a stable rank two normalized vector bundle on P3. If H is a general plane we show that h^0(E_H(1)) \\leq 2+c_1. It follows that h^0(E(1)) \\leq 2+c_1.","authors_text":"Laurent Gruson, Philippe Ellia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-09-12T17:00:05Z","title":"A restriction theorem for stable rank two vector bundles on P3"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3789","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":"sha256:6760514518e6e0caf7e9a7b1e65e37e047b0e2d8f08cc01c75e1adffac766c92","target":"record","created_at":"2026-05-18T02:42:54Z","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":"ff7b7d0c43a0422a963405887eace2405f5b84b29e6ca173989dd1e488b6a726","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-09-12T17:00:05Z","title_canon_sha256":"339154121562d3efa9f64c5d794869338ea217099dd2a2f94622ae1aed3c7466"},"schema_version":"1.0","source":{"id":"1409.3789","kind":"arxiv","version":1}},"canonical_sha256":"5119d1372c733480e4f5854380328a47400758c0c0b3c86f0e8fde1d69cfed10","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5119d1372c733480e4f5854380328a47400758c0c0b3c86f0e8fde1d69cfed10","first_computed_at":"2026-05-18T02:42:54.679415Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:54.679415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yiaWBUnc0ttbjRYVrwoxZrs4mUZV9WNWkVHSXzZ5+J7aQTLQhqumzBtl0i9XWJ8G6uzlObW+w6AZE1F4E+6yAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:54.679765Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.3789","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6760514518e6e0caf7e9a7b1e65e37e047b0e2d8f08cc01c75e1adffac766c92","sha256:29e295b9d8a806927d5a9846c63c235e649627ed85b0296828f9fde80722cc92"],"state_sha256":"51fe0be79839837fa115af56952ea87051867bf4ef72fbba09546594c1580ad1"}