{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:W7RAMLHVQTHL3LFKVV2LN6P6DC","short_pith_number":"pith:W7RAMLHV","canonical_record":{"source":{"id":"1209.2047","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-09-10T16:09:56Z","cross_cats_sorted":[],"title_canon_sha256":"2499f615205b67920b311e290108a97e5b3674cbfe43ee719a192bdca7c53499","abstract_canon_sha256":"bb0110148c9156f08825d3713257e5a5e5e3653a758cabe32237903703c4b1fe"},"schema_version":"1.0"},"canonical_sha256":"b7e2062cf584cebdacaaad74b6f9fe18b442a235023dcfad5844672c149855e4","source":{"kind":"arxiv","id":"1209.2047","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.2047","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"arxiv_version","alias_value":"1209.2047v1","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.2047","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"pith_short_12","alias_value":"W7RAMLHVQTHL","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"W7RAMLHVQTHL3LFK","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"W7RAMLHV","created_at":"2026-05-18T12:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:W7RAMLHVQTHL3LFKVV2LN6P6DC","target":"record","payload":{"canonical_record":{"source":{"id":"1209.2047","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-09-10T16:09:56Z","cross_cats_sorted":[],"title_canon_sha256":"2499f615205b67920b311e290108a97e5b3674cbfe43ee719a192bdca7c53499","abstract_canon_sha256":"bb0110148c9156f08825d3713257e5a5e5e3653a758cabe32237903703c4b1fe"},"schema_version":"1.0"},"canonical_sha256":"b7e2062cf584cebdacaaad74b6f9fe18b442a235023dcfad5844672c149855e4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:01.628506Z","signature_b64":"l5IWeazRnq1ipDW4ciCdm1crcXEQfSnNXzmP3bzDqbV7UOIPuF6fiOE/pL6ArPxJWLsBQ6CEn2VG1cjFohV8CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7e2062cf584cebdacaaad74b6f9fe18b442a235023dcfad5844672c149855e4","last_reissued_at":"2026-05-18T02:33:01.628141Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:01.628141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.2047","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:33:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BQhlQiPtfbHHAiK5m+tdt4E0Qj2D+GfkRKgEQzKyrzge8fXbWk+h8z7lMUoRPI8xYDnx+x8EtBCDFcnipkC2Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T00:06:19.541969Z"},"content_sha256":"8fa8bffc2b4643257dd6042d384438d60225b285904614e9ceb384ce9446312d","schema_version":"1.0","event_id":"sha256:8fa8bffc2b4643257dd6042d384438d60225b285904614e9ceb384ce9446312d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:W7RAMLHVQTHL3LFKVV2LN6P6DC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Manifolds covered by lines and the Hartshorne Conjecture for quadratic manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Francesco Russo, Paltin Ionescu","submitted_at":"2012-09-10T16:09:56Z","abstract_excerpt":"Small codimensional embedded manifolds defined byequations of small degree are Fano and covered by lines. They are complete intersections exactly when the variety of lines through a general point is so and has the right codimension. This allows us to prove the Hartshorne Conjecture for manifolds defined by quadratic equations and to obtain the list of such Hartshorne manifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.2047","kind":"arxiv","version":1},"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":"2026-05-18T02:33:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sd662u/YuWxaIL5/ZUy8A84wR8xC0dzk7PpZvne0Kva2iVKcg7CNPu2Q9L0of0pX4PZiJRuUg/Jk1D5/mF+9Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T00:06:19.542940Z"},"content_sha256":"7650f8a2037037928f452217d91dc7869aff11363bf034a7d2466edc43fc82ae","schema_version":"1.0","event_id":"sha256:7650f8a2037037928f452217d91dc7869aff11363bf034a7d2466edc43fc82ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W7RAMLHVQTHL3LFKVV2LN6P6DC/bundle.json","state_url":"https://pith.science/pith/W7RAMLHVQTHL3LFKVV2LN6P6DC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W7RAMLHVQTHL3LFKVV2LN6P6DC/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":"2026-06-10T00:06:19Z","links":{"resolver":"https://pith.science/pith/W7RAMLHVQTHL3LFKVV2LN6P6DC","bundle":"https://pith.science/pith/W7RAMLHVQTHL3LFKVV2LN6P6DC/bundle.json","state":"https://pith.science/pith/W7RAMLHVQTHL3LFKVV2LN6P6DC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W7RAMLHVQTHL3LFKVV2LN6P6DC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:W7RAMLHVQTHL3LFKVV2LN6P6DC","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":"bb0110148c9156f08825d3713257e5a5e5e3653a758cabe32237903703c4b1fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-09-10T16:09:56Z","title_canon_sha256":"2499f615205b67920b311e290108a97e5b3674cbfe43ee719a192bdca7c53499"},"schema_version":"1.0","source":{"id":"1209.2047","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.2047","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"arxiv_version","alias_value":"1209.2047v1","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.2047","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"pith_short_12","alias_value":"W7RAMLHVQTHL","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"W7RAMLHVQTHL3LFK","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"W7RAMLHV","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:7650f8a2037037928f452217d91dc7869aff11363bf034a7d2466edc43fc82ae","target":"graph","created_at":"2026-05-18T02:33:01Z","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":"Small codimensional embedded manifolds defined byequations of small degree are Fano and covered by lines. They are complete intersections exactly when the variety of lines through a general point is so and has the right codimension. This allows us to prove the Hartshorne Conjecture for manifolds defined by quadratic equations and to obtain the list of such Hartshorne manifolds.","authors_text":"Francesco Russo, Paltin Ionescu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-09-10T16:09:56Z","title":"Manifolds covered by lines and the Hartshorne Conjecture for quadratic manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.2047","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":"sha256:8fa8bffc2b4643257dd6042d384438d60225b285904614e9ceb384ce9446312d","target":"record","created_at":"2026-05-18T02:33:01Z","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":"bb0110148c9156f08825d3713257e5a5e5e3653a758cabe32237903703c4b1fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-09-10T16:09:56Z","title_canon_sha256":"2499f615205b67920b311e290108a97e5b3674cbfe43ee719a192bdca7c53499"},"schema_version":"1.0","source":{"id":"1209.2047","kind":"arxiv","version":1}},"canonical_sha256":"b7e2062cf584cebdacaaad74b6f9fe18b442a235023dcfad5844672c149855e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7e2062cf584cebdacaaad74b6f9fe18b442a235023dcfad5844672c149855e4","first_computed_at":"2026-05-18T02:33:01.628141Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:01.628141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l5IWeazRnq1ipDW4ciCdm1crcXEQfSnNXzmP3bzDqbV7UOIPuF6fiOE/pL6ArPxJWLsBQ6CEn2VG1cjFohV8CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:01.628506Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.2047","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8fa8bffc2b4643257dd6042d384438d60225b285904614e9ceb384ce9446312d","sha256:7650f8a2037037928f452217d91dc7869aff11363bf034a7d2466edc43fc82ae"],"state_sha256":"57d62c1b0a4d7047ed1bdfda5da10e8789e183ee7d578de1641bdd4b33aef24f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+EmPJlK04MTshYBWml5rn+jApY3PfY26WQQwzAxkeOpnws7Awdy99DXim0CmqA2b0cke5JOUnw5YLyfY4y49AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T00:06:19.547376Z","bundle_sha256":"ef73bda6ced570c30d2f19a5be9439492da5b8b0524038b615448e71acde0eb8"}}