{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:2FF6UPWPYFECQE4HWGRRUXO7YK","short_pith_number":"pith:2FF6UPWP","canonical_record":{"source":{"id":"0806.2265","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-06-13T15:06:43Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"9b3acdbca886fbd1253e8b3c8fad72d75063fb1448968870daf95c3ae1ba4084","abstract_canon_sha256":"1e5a8bdeeeb4a04fb3d0fd0378d59a771b2ebb3c9fce9677b9ea6f9f0a6b6d24"},"schema_version":"1.0"},"canonical_sha256":"d14bea3ecfc148281387b1a31a5ddfc295191e40ee9d2464939dfe88efab66fa","source":{"kind":"arxiv","id":"0806.2265","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.2265","created_at":"2026-05-18T04:23:11Z"},{"alias_kind":"arxiv_version","alias_value":"0806.2265v2","created_at":"2026-05-18T04:23:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.2265","created_at":"2026-05-18T04:23:11Z"},{"alias_kind":"pith_short_12","alias_value":"2FF6UPWPYFEC","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"2FF6UPWPYFECQE4H","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"2FF6UPWP","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:2FF6UPWPYFECQE4HWGRRUXO7YK","target":"record","payload":{"canonical_record":{"source":{"id":"0806.2265","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-06-13T15:06:43Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"9b3acdbca886fbd1253e8b3c8fad72d75063fb1448968870daf95c3ae1ba4084","abstract_canon_sha256":"1e5a8bdeeeb4a04fb3d0fd0378d59a771b2ebb3c9fce9677b9ea6f9f0a6b6d24"},"schema_version":"1.0"},"canonical_sha256":"d14bea3ecfc148281387b1a31a5ddfc295191e40ee9d2464939dfe88efab66fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:11.813561Z","signature_b64":"h1zJmIQv9953xEgcBgBGW6smZiGsUx+j96Amf1k2WQb8yMhJxWKVSHjYAmrZ04Pa/rvtbmE6aPjhUwAOvcXrBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d14bea3ecfc148281387b1a31a5ddfc295191e40ee9d2464939dfe88efab66fa","last_reissued_at":"2026-05-18T04:23:11.813012Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:11.813012Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0806.2265","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":"2026-05-18T04:23:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3/a3e3Juj8J80JX13c8ixk6K7kr7wiqDdg+2XAMfeE4ZdmVKG7NYYpEM/U6MUAtkIpxh3ew5t7zQCVC4e/a+Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:28:37.212870Z"},"content_sha256":"e2469da68425f663811a320378e43ccaa5dc22aa4461b63bfdfd33c2867b49ae","schema_version":"1.0","event_id":"sha256:e2469da68425f663811a320378e43ccaa5dc22aa4461b63bfdfd33c2867b49ae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:2FF6UPWPYFECQE4HWGRRUXO7YK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Moduli spaces of rank 2 ACM bundles on prime Fano threefolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Daniele Faenzi, Maria Chiara Brambilla","submitted_at":"2008-06-13T15:06:43Z","abstract_excerpt":"Given a smooth non-hyperelliptic prime Fano threefold X, we prove the existence of all rank 2 ACM vector bundles on X by deformation of semistable sheaves. We show that these bundles move in generically smooth components of the corresponding moduli space. We give applications to pfaffian representations of quartic threefolds in P^4 and cubic hypersurfaces of a smooth quadric of P^5."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.2265","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":"2026-05-18T04:23:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LfZjSMUQxz5slFxDCafamemwk8WXXVEK1wjf+Hr/lKjREbt5RnJx5vkcWTUMIAn/p/kaTVPCYGAkdksk8aYGBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:28:37.213219Z"},"content_sha256":"32c3f89a70592c450ce7dab5a211678f9a53de34f4e95291cea2ede203f3ddd0","schema_version":"1.0","event_id":"sha256:32c3f89a70592c450ce7dab5a211678f9a53de34f4e95291cea2ede203f3ddd0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2FF6UPWPYFECQE4HWGRRUXO7YK/bundle.json","state_url":"https://pith.science/pith/2FF6UPWPYFECQE4HWGRRUXO7YK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2FF6UPWPYFECQE4HWGRRUXO7YK/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":"2026-05-30T06:28:37Z","links":{"resolver":"https://pith.science/pith/2FF6UPWPYFECQE4HWGRRUXO7YK","bundle":"https://pith.science/pith/2FF6UPWPYFECQE4HWGRRUXO7YK/bundle.json","state":"https://pith.science/pith/2FF6UPWPYFECQE4HWGRRUXO7YK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2FF6UPWPYFECQE4HWGRRUXO7YK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:2FF6UPWPYFECQE4HWGRRUXO7YK","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":"1e5a8bdeeeb4a04fb3d0fd0378d59a771b2ebb3c9fce9677b9ea6f9f0a6b6d24","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-06-13T15:06:43Z","title_canon_sha256":"9b3acdbca886fbd1253e8b3c8fad72d75063fb1448968870daf95c3ae1ba4084"},"schema_version":"1.0","source":{"id":"0806.2265","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.2265","created_at":"2026-05-18T04:23:11Z"},{"alias_kind":"arxiv_version","alias_value":"0806.2265v2","created_at":"2026-05-18T04:23:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.2265","created_at":"2026-05-18T04:23:11Z"},{"alias_kind":"pith_short_12","alias_value":"2FF6UPWPYFEC","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"2FF6UPWPYFECQE4H","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"2FF6UPWP","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:32c3f89a70592c450ce7dab5a211678f9a53de34f4e95291cea2ede203f3ddd0","target":"graph","created_at":"2026-05-18T04:23:11Z","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":"Given a smooth non-hyperelliptic prime Fano threefold X, we prove the existence of all rank 2 ACM vector bundles on X by deformation of semistable sheaves. We show that these bundles move in generically smooth components of the corresponding moduli space. We give applications to pfaffian representations of quartic threefolds in P^4 and cubic hypersurfaces of a smooth quadric of P^5.","authors_text":"Daniele Faenzi, Maria Chiara Brambilla","cross_cats":["math.AC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-06-13T15:06:43Z","title":"Moduli spaces of rank 2 ACM bundles on prime Fano threefolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.2265","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:e2469da68425f663811a320378e43ccaa5dc22aa4461b63bfdfd33c2867b49ae","target":"record","created_at":"2026-05-18T04:23:11Z","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":"1e5a8bdeeeb4a04fb3d0fd0378d59a771b2ebb3c9fce9677b9ea6f9f0a6b6d24","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-06-13T15:06:43Z","title_canon_sha256":"9b3acdbca886fbd1253e8b3c8fad72d75063fb1448968870daf95c3ae1ba4084"},"schema_version":"1.0","source":{"id":"0806.2265","kind":"arxiv","version":2}},"canonical_sha256":"d14bea3ecfc148281387b1a31a5ddfc295191e40ee9d2464939dfe88efab66fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d14bea3ecfc148281387b1a31a5ddfc295191e40ee9d2464939dfe88efab66fa","first_computed_at":"2026-05-18T04:23:11.813012Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:11.813012Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h1zJmIQv9953xEgcBgBGW6smZiGsUx+j96Amf1k2WQb8yMhJxWKVSHjYAmrZ04Pa/rvtbmE6aPjhUwAOvcXrBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:11.813561Z","signed_message":"canonical_sha256_bytes"},"source_id":"0806.2265","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2469da68425f663811a320378e43ccaa5dc22aa4461b63bfdfd33c2867b49ae","sha256:32c3f89a70592c450ce7dab5a211678f9a53de34f4e95291cea2ede203f3ddd0"],"state_sha256":"f10acf15fa2b02515fcb40eaae58fead35b9bb9a9003f147b4fac4cf388578e0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UFCKzbyMagYZZWs8PqLNVft7RMd4HVtDWgOx8nFhsZ+IxX1GIjsw7oCAOhNJr/HmGZYh5zKxkFgQHvzyoju8Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T06:28:37.215176Z","bundle_sha256":"8bb3b54b37a5383cf13ebab24b59899f4134f0944270cc08296e8db265061d8b"}}