{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:NJWFMQF4PAE4NVRBOFAHGC2MSI","short_pith_number":"pith:NJWFMQF4","canonical_record":{"source":{"id":"0712.3406","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2007-12-20T13:20:07Z","cross_cats_sorted":[],"title_canon_sha256":"99bbd1d978cd62c293e1f3144396fe9e67314900b6bb48a7f1036f4c0e9eaadc","abstract_canon_sha256":"cfe4179035aee3349ad47bdc1d6d1dc1439993c963e580c3b2afa53d701952c6"},"schema_version":"1.0"},"canonical_sha256":"6a6c5640bc7809c6d6217140730b4c921f93dda8a71036a0f36e2eccfe5fdf20","source":{"kind":"arxiv","id":"0712.3406","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:NJWFMQF4PAE4NVRBOFAHGC2MSI","target":"record","payload":{"canonical_record":{"source":{"id":"0712.3406","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2007-12-20T13:20:07Z","cross_cats_sorted":[],"title_canon_sha256":"99bbd1d978cd62c293e1f3144396fe9e67314900b6bb48a7f1036f4c0e9eaadc","abstract_canon_sha256":"cfe4179035aee3349ad47bdc1d6d1dc1439993c963e580c3b2afa53d701952c6"},"schema_version":"1.0"},"canonical_sha256":"6a6c5640bc7809c6d6217140730b4c921f93dda8a71036a0f36e2eccfe5fdf20","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:06.438446Z","signature_b64":"/OytkvK/J4cH1xpQ1+2pzzZWvZIc5zbwYbHY1O2fMhR2u1jKbRTBzOreewYBgNnMouUZPkyxs7Xf3yS/xRpbDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a6c5640bc7809c6d6217140730b4c921f93dda8a71036a0f36e2eccfe5fdf20","last_reissued_at":"2026-05-18T01:28:06.437792Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:06.437792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0712.3406","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:28:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LIbs+bBQjXiDGHRTiKHZ0sRAj9Vm6lgB/L/j+AnPTrIuSDGkruFWvkPlQnyka7Aa7o6TYfgVJa8B9ePaACjODQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:59:23.984620Z"},"content_sha256":"33e1cd35e91fc17497b50eeb7a06f736d14c5d60e9d91640e6d186d560c159a3","schema_version":"1.0","event_id":"sha256:33e1cd35e91fc17497b50eeb7a06f736d14c5d60e9d91640e6d186d560c159a3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:NJWFMQF4PAE4NVRBOFAHGC2MSI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Projective manifolds containing a large linear subspace with nef normal bundle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Carla Novelli, Gianluca Occhetta","submitted_at":"2007-12-20T13:20:07Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.3406","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:28:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Py2MZwj3Q7Sng14DLdgQLSYlM8FFk7Gy9JdAnV08EHGLexkV2PVT4t0CfBTp9VL5vfpQ16/mmIKIGPY57FMeBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:59:23.985387Z"},"content_sha256":"0734ae42efc2a97cd9d04ab53a04b602e4f685256c8adda0c2969fd757807d60","schema_version":"1.0","event_id":"sha256:0734ae42efc2a97cd9d04ab53a04b602e4f685256c8adda0c2969fd757807d60"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NJWFMQF4PAE4NVRBOFAHGC2MSI/bundle.json","state_url":"https://pith.science/pith/NJWFMQF4PAE4NVRBOFAHGC2MSI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NJWFMQF4PAE4NVRBOFAHGC2MSI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T19:59:23Z","links":{"resolver":"https://pith.science/pith/NJWFMQF4PAE4NVRBOFAHGC2MSI","bundle":"https://pith.science/pith/NJWFMQF4PAE4NVRBOFAHGC2MSI/bundle.json","state":"https://pith.science/pith/NJWFMQF4PAE4NVRBOFAHGC2MSI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NJWFMQF4PAE4NVRBOFAHGC2MSI/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RinTlZs+FaBaS4AsSLMDJsTxyMx1DDu8b9wyyM3Myc/Pfsw6J4xgsQhaHLUFUomiQwWkQ8B6ulQ3/TebEjHlAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T19:59:23.990727Z","bundle_sha256":"582039db4e5abff454c11c7ed146a1570b021fdd7bcedd0d7eaebbbf66f58f5d"}}