{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:5MY5VEK7ILHJGYQETCF4HES7O6","short_pith_number":"pith:5MY5VEK7","canonical_record":{"source":{"id":"1502.05553","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-02-19T12:35:23Z","cross_cats_sorted":[],"title_canon_sha256":"9cf317dcec44712b38f0f927b27aae887face7b135992b800a61947b93252538","abstract_canon_sha256":"90aafd50c1ecf042513d0a6500250a63face6f0c2605c30fb615c3213e9420af"},"schema_version":"1.0"},"canonical_sha256":"eb31da915f42ce936204988bc3925f778e2c98c8359b8f44558411dc7a066e2d","source":{"kind":"arxiv","id":"1502.05553","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05553","created_at":"2026-05-18T01:17:33Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05553v2","created_at":"2026-05-18T01:17:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05553","created_at":"2026-05-18T01:17:33Z"},{"alias_kind":"pith_short_12","alias_value":"5MY5VEK7ILHJ","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"5MY5VEK7ILHJGYQE","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"5MY5VEK7","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:5MY5VEK7ILHJGYQETCF4HES7O6","target":"record","payload":{"canonical_record":{"source":{"id":"1502.05553","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-02-19T12:35:23Z","cross_cats_sorted":[],"title_canon_sha256":"9cf317dcec44712b38f0f927b27aae887face7b135992b800a61947b93252538","abstract_canon_sha256":"90aafd50c1ecf042513d0a6500250a63face6f0c2605c30fb615c3213e9420af"},"schema_version":"1.0"},"canonical_sha256":"eb31da915f42ce936204988bc3925f778e2c98c8359b8f44558411dc7a066e2d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:33.245499Z","signature_b64":"HoPVW7sGNHsYlKWSOPnfnjon/xYJXiDVpBR1cKHd97aXpyNByv+yvgDpGgiyNjyUm7NqfMUBz6xwt2Ze8iouBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb31da915f42ce936204988bc3925f778e2c98c8359b8f44558411dc7a066e2d","last_reissued_at":"2026-05-18T01:17:33.244680Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:33.244680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.05553","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:17:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0Qqk6npOvql0EYgFjIkSh0c6Az2Tib933zgMZUqZOiw/k7BucGdvK6q6+0DTy2JoYUbismgTP8qxZR+8TveVBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T23:59:18.656087Z"},"content_sha256":"a21875b682ffdd6ca26a416b49b727d292c6def7812dd26dd6639cd200971240","schema_version":"1.0","event_id":"sha256:a21875b682ffdd6ca26a416b49b727d292c6def7812dd26dd6639cd200971240"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:5MY5VEK7ILHJGYQETCF4HES7O6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Locally Cohen-Macaulay space curves defined by cubic equations and globally generated vector bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Cristian Anghel, Iustin Coanda, Nicolae Manolache","submitted_at":"2015-02-19T12:35:23Z","abstract_excerpt":"We classify globally generated vector bundles with first Chern class $c_1$ at least 4 on the projective 3-space with the property that $E(-c_1+3)$ has a non-zero global section. This (seemingly) technical result allows one to reduce the classification of globally generated vector bundles with $c_1$ at most 7 on the projective 3-space to the classification of stable rank-2 reflexive sheaves with the same properties. The proof is based on a description of the monads of all locally Cohen-Macaulay space curves defined by cubic equations. We extend then this kind of classification to higher dimensi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05553","kind":"arxiv","version":2},"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":"2026-05-18T01:17:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zvidBP3E9c/rWTzI3AS5NzKDaTaQConuCNQwT8qXIv0PWcKb5DENcpcdIY7rJSVdpDMrzrllzvUi2kMkUZgvDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T23:59:18.656743Z"},"content_sha256":"3622a953daaed91127ce7b42192a4b632b07a64974db64e6834db72680e3373a","schema_version":"1.0","event_id":"sha256:3622a953daaed91127ce7b42192a4b632b07a64974db64e6834db72680e3373a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5MY5VEK7ILHJGYQETCF4HES7O6/bundle.json","state_url":"https://pith.science/pith/5MY5VEK7ILHJGYQETCF4HES7O6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5MY5VEK7ILHJGYQETCF4HES7O6/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":"2026-05-22T23:59:18Z","links":{"resolver":"https://pith.science/pith/5MY5VEK7ILHJGYQETCF4HES7O6","bundle":"https://pith.science/pith/5MY5VEK7ILHJGYQETCF4HES7O6/bundle.json","state":"https://pith.science/pith/5MY5VEK7ILHJGYQETCF4HES7O6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5MY5VEK7ILHJGYQETCF4HES7O6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:5MY5VEK7ILHJGYQETCF4HES7O6","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":"90aafd50c1ecf042513d0a6500250a63face6f0c2605c30fb615c3213e9420af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-02-19T12:35:23Z","title_canon_sha256":"9cf317dcec44712b38f0f927b27aae887face7b135992b800a61947b93252538"},"schema_version":"1.0","source":{"id":"1502.05553","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05553","created_at":"2026-05-18T01:17:33Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05553v2","created_at":"2026-05-18T01:17:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05553","created_at":"2026-05-18T01:17:33Z"},{"alias_kind":"pith_short_12","alias_value":"5MY5VEK7ILHJ","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"5MY5VEK7ILHJGYQE","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"5MY5VEK7","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:3622a953daaed91127ce7b42192a4b632b07a64974db64e6834db72680e3373a","target":"graph","created_at":"2026-05-18T01:17:33Z","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 globally generated vector bundles with first Chern class $c_1$ at least 4 on the projective 3-space with the property that $E(-c_1+3)$ has a non-zero global section. This (seemingly) technical result allows one to reduce the classification of globally generated vector bundles with $c_1$ at most 7 on the projective 3-space to the classification of stable rank-2 reflexive sheaves with the same properties. The proof is based on a description of the monads of all locally Cohen-Macaulay space curves defined by cubic equations. We extend then this kind of classification to higher dimensi","authors_text":"Cristian Anghel, Iustin Coanda, Nicolae Manolache","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-02-19T12:35:23Z","title":"Locally Cohen-Macaulay space curves defined by cubic equations and globally generated vector bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05553","kind":"arxiv","version":2},"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:a21875b682ffdd6ca26a416b49b727d292c6def7812dd26dd6639cd200971240","target":"record","created_at":"2026-05-18T01:17:33Z","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":"90aafd50c1ecf042513d0a6500250a63face6f0c2605c30fb615c3213e9420af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-02-19T12:35:23Z","title_canon_sha256":"9cf317dcec44712b38f0f927b27aae887face7b135992b800a61947b93252538"},"schema_version":"1.0","source":{"id":"1502.05553","kind":"arxiv","version":2}},"canonical_sha256":"eb31da915f42ce936204988bc3925f778e2c98c8359b8f44558411dc7a066e2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb31da915f42ce936204988bc3925f778e2c98c8359b8f44558411dc7a066e2d","first_computed_at":"2026-05-18T01:17:33.244680Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:33.244680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HoPVW7sGNHsYlKWSOPnfnjon/xYJXiDVpBR1cKHd97aXpyNByv+yvgDpGgiyNjyUm7NqfMUBz6xwt2Ze8iouBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:33.245499Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.05553","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a21875b682ffdd6ca26a416b49b727d292c6def7812dd26dd6639cd200971240","sha256:3622a953daaed91127ce7b42192a4b632b07a64974db64e6834db72680e3373a"],"state_sha256":"cfb376f9535235412ce6377237252a5a280287fd4bb468165496837b37a484ad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qMPKnDPqiTP/PGfU9NVZKFEdoUsGctU7vBcK48QBxaa8iAymPtKEZpLSKXv/vqcaR1MliDWKB53qFrbwGeRnBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T23:59:18.660223Z","bundle_sha256":"d8697f45efa684f5b85e77a1169152ca40af3863a545d693c98ebe6163384a89"}}