{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:VPVVIBXF4I2Q2VGJLFT4CAL55Q","short_pith_number":"pith:VPVVIBXF","canonical_record":{"source":{"id":"1111.5725","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-24T11:18:30Z","cross_cats_sorted":[],"title_canon_sha256":"5a0238d4b0ee2ea11af676662cb2826c569fb78279d59e63782eebac28f87c72","abstract_canon_sha256":"583ef0bb05dd53f1d13c9007427129519b76c0b52e1cc2e9aab94d6ac51798cf"},"schema_version":"1.0"},"canonical_sha256":"abeb5406e5e2350d54c95967c1017dec3fbce87e0bcfd58c95d710d59ded7ffd","source":{"kind":"arxiv","id":"1111.5725","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.5725","created_at":"2026-05-18T04:07:42Z"},{"alias_kind":"arxiv_version","alias_value":"1111.5725v1","created_at":"2026-05-18T04:07:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.5725","created_at":"2026-05-18T04:07:42Z"},{"alias_kind":"pith_short_12","alias_value":"VPVVIBXF4I2Q","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VPVVIBXF4I2Q2VGJ","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VPVVIBXF","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:VPVVIBXF4I2Q2VGJLFT4CAL55Q","target":"record","payload":{"canonical_record":{"source":{"id":"1111.5725","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-24T11:18:30Z","cross_cats_sorted":[],"title_canon_sha256":"5a0238d4b0ee2ea11af676662cb2826c569fb78279d59e63782eebac28f87c72","abstract_canon_sha256":"583ef0bb05dd53f1d13c9007427129519b76c0b52e1cc2e9aab94d6ac51798cf"},"schema_version":"1.0"},"canonical_sha256":"abeb5406e5e2350d54c95967c1017dec3fbce87e0bcfd58c95d710d59ded7ffd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:07:42.481728Z","signature_b64":"f7ULs5sjVHfG3Y6De8z/XvSLR/YWHJ1um+YLoonx3bi3njkViiaBhPeRFwg5vEn6U0BTzMElvxXGKAgyzt3sBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"abeb5406e5e2350d54c95967c1017dec3fbce87e0bcfd58c95d710d59ded7ffd","last_reissued_at":"2026-05-18T04:07:42.481282Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:07:42.481282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.5725","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":"2026-05-18T04:07:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ViR8KNFTh9umFN2OTz2iQshQqLsfludSY3ZFv/FHxHG0hrSe3maMDKbPjtdlgDtvXEMHJNXzKxlETFvofaLACg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T00:58:04.932395Z"},"content_sha256":"59a7d7be3bb70cf096e7c83322dcf74c3fd0411cd2803c5d0bc495fe5142cdcf","schema_version":"1.0","event_id":"sha256:59a7d7be3bb70cf096e7c83322dcf74c3fd0411cd2803c5d0bc495fe5142cdcf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:VPVVIBXF4I2Q2VGJLFT4CAL55Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rank two globally generated vector bundles with c_1 \\leq 5","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ludovica Chiodera, Philippe Ellia","submitted_at":"2011-11-24T11:18:30Z","abstract_excerpt":"We classify rank two globally generated vector bundles on P^n, n > 2, with c_1 \\leq 5. The classification is complete but for one case (n = 3, c_1 = 5, c_2 = 12)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.5725","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":"2026-05-18T04:07:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"af/wn6qOZv4e3DqCuLNt+OhUQY2/kwa0mwyABWTa0ZKqwyvZ73B9GVc4cVLWRfCDJ3LnT8cW3/RYe531HguaAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T00:58:04.932741Z"},"content_sha256":"b1438096bf3ec2199521a732100e4451b4bab1f1f17f0a722219a7b47f6826d0","schema_version":"1.0","event_id":"sha256:b1438096bf3ec2199521a732100e4451b4bab1f1f17f0a722219a7b47f6826d0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VPVVIBXF4I2Q2VGJLFT4CAL55Q/bundle.json","state_url":"https://pith.science/pith/VPVVIBXF4I2Q2VGJLFT4CAL55Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VPVVIBXF4I2Q2VGJLFT4CAL55Q/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":"2026-06-21T00:58:04Z","links":{"resolver":"https://pith.science/pith/VPVVIBXF4I2Q2VGJLFT4CAL55Q","bundle":"https://pith.science/pith/VPVVIBXF4I2Q2VGJLFT4CAL55Q/bundle.json","state":"https://pith.science/pith/VPVVIBXF4I2Q2VGJLFT4CAL55Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VPVVIBXF4I2Q2VGJLFT4CAL55Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VPVVIBXF4I2Q2VGJLFT4CAL55Q","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":"583ef0bb05dd53f1d13c9007427129519b76c0b52e1cc2e9aab94d6ac51798cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-24T11:18:30Z","title_canon_sha256":"5a0238d4b0ee2ea11af676662cb2826c569fb78279d59e63782eebac28f87c72"},"schema_version":"1.0","source":{"id":"1111.5725","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.5725","created_at":"2026-05-18T04:07:42Z"},{"alias_kind":"arxiv_version","alias_value":"1111.5725v1","created_at":"2026-05-18T04:07:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.5725","created_at":"2026-05-18T04:07:42Z"},{"alias_kind":"pith_short_12","alias_value":"VPVVIBXF4I2Q","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VPVVIBXF4I2Q2VGJ","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VPVVIBXF","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:b1438096bf3ec2199521a732100e4451b4bab1f1f17f0a722219a7b47f6826d0","target":"graph","created_at":"2026-05-18T04:07:42Z","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 rank two globally generated vector bundles on P^n, n > 2, with c_1 \\leq 5. The classification is complete but for one case (n = 3, c_1 = 5, c_2 = 12)","authors_text":"Ludovica Chiodera, Philippe Ellia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-24T11:18:30Z","title":"Rank two globally generated vector bundles with c_1 \\leq 5"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.5725","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":"sha256:59a7d7be3bb70cf096e7c83322dcf74c3fd0411cd2803c5d0bc495fe5142cdcf","target":"record","created_at":"2026-05-18T04:07:42Z","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":"583ef0bb05dd53f1d13c9007427129519b76c0b52e1cc2e9aab94d6ac51798cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-24T11:18:30Z","title_canon_sha256":"5a0238d4b0ee2ea11af676662cb2826c569fb78279d59e63782eebac28f87c72"},"schema_version":"1.0","source":{"id":"1111.5725","kind":"arxiv","version":1}},"canonical_sha256":"abeb5406e5e2350d54c95967c1017dec3fbce87e0bcfd58c95d710d59ded7ffd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"abeb5406e5e2350d54c95967c1017dec3fbce87e0bcfd58c95d710d59ded7ffd","first_computed_at":"2026-05-18T04:07:42.481282Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:42.481282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f7ULs5sjVHfG3Y6De8z/XvSLR/YWHJ1um+YLoonx3bi3njkViiaBhPeRFwg5vEn6U0BTzMElvxXGKAgyzt3sBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:42.481728Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.5725","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59a7d7be3bb70cf096e7c83322dcf74c3fd0411cd2803c5d0bc495fe5142cdcf","sha256:b1438096bf3ec2199521a732100e4451b4bab1f1f17f0a722219a7b47f6826d0"],"state_sha256":"4e56f92ac251c1c46f919235d6ea8f496bd28e5f66399385bc5abde6291687fd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b57q/RpLZSaySmRIIxe9pVHxEGk2RRgjrruoiyBHMeuMmuxRoqiBlwcq7OAQqO+mAUsBpFV7PKNOfZ3CKzoHBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T00:58:04.934685Z","bundle_sha256":"76f290834ff65c3485047773280025b729f9b0b65c572d1d9f019ac49b7ee217"}}