{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:NJWFMQF4PAE4NVRBOFAHGC2MSI","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":"cfe4179035aee3349ad47bdc1d6d1dc1439993c963e580c3b2afa53d701952c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2007-12-20T13:20:07Z","title_canon_sha256":"99bbd1d978cd62c293e1f3144396fe9e67314900b6bb48a7f1036f4c0e9eaadc"},"schema_version":"1.0","source":{"id":"0712.3406","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.3406","created_at":"2026-05-18T01:28:06Z"},{"alias_kind":"arxiv_version","alias_value":"0712.3406v3","created_at":"2026-05-18T01:28:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.3406","created_at":"2026-05-18T01:28:06Z"},{"alias_kind":"pith_short_12","alias_value":"NJWFMQF4PAE4","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"NJWFMQF4PAE4NVRB","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"NJWFMQF4","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:0734ae42efc2a97cd9d04ab53a04b602e4f685256c8adda0c2969fd757807d60","target":"graph","created_at":"2026-05-18T01:28:06Z","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 classify smooth complex projective varieties $X \\subset \\proj^N$ of dimension $2s+1$ containing a linear subspace $\\Lambda$ of dimension $s$ whose normal bundle $N_{\\Lambda/X}$ is numerically effective.","authors_text":"Carla Novelli, Gianluca Occhetta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2007-12-20T13:20:07Z","title":"Projective manifolds containing a large linear subspace with nef normal bundle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.3406","kind":"arxiv","version":3},"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":"sha256:33e1cd35e91fc17497b50eeb7a06f736d14c5d60e9d91640e6d186d560c159a3","target":"record","created_at":"2026-05-18T01:28:06Z","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":"cfe4179035aee3349ad47bdc1d6d1dc1439993c963e580c3b2afa53d701952c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2007-12-20T13:20:07Z","title_canon_sha256":"99bbd1d978cd62c293e1f3144396fe9e67314900b6bb48a7f1036f4c0e9eaadc"},"schema_version":"1.0","source":{"id":"0712.3406","kind":"arxiv","version":3}},"canonical_sha256":"6a6c5640bc7809c6d6217140730b4c921f93dda8a71036a0f36e2eccfe5fdf20","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a6c5640bc7809c6d6217140730b4c921f93dda8a71036a0f36e2eccfe5fdf20","first_computed_at":"2026-05-18T01:28:06.437792Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:06.437792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/OytkvK/J4cH1xpQ1+2pzzZWvZIc5zbwYbHY1O2fMhR2u1jKbRTBzOreewYBgNnMouUZPkyxs7Xf3yS/xRpbDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:06.438446Z","signed_message":"canonical_sha256_bytes"},"source_id":"0712.3406","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:33e1cd35e91fc17497b50eeb7a06f736d14c5d60e9d91640e6d186d560c159a3","sha256:0734ae42efc2a97cd9d04ab53a04b602e4f685256c8adda0c2969fd757807d60"],"state_sha256":"152694ad82eb444fc0b347a917922530bf7980f1e011082e288656b50dd67583"}