{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:FSLGPZM7WCPC6ENSNKWVQGIHOE","short_pith_number":"pith:FSLGPZM7","canonical_record":{"source":{"id":"1903.07105","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-17T15:26:37Z","cross_cats_sorted":[],"title_canon_sha256":"4b189aa7b0543750dda938aed07d2d9ae45a7b1d09107d5e9baccb360c8900a1","abstract_canon_sha256":"5457e305447bc2a1859e5893abf126879efe547868f0bd3d48bac7f6da219c35"},"schema_version":"1.0"},"canonical_sha256":"2c9667e59fb09e2f11b26aad5819077133c775c92fe85e7c9e38ef08426a453b","source":{"kind":"arxiv","id":"1903.07105","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.07105","created_at":"2026-05-17T23:51:04Z"},{"alias_kind":"arxiv_version","alias_value":"1903.07105v1","created_at":"2026-05-17T23:51:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.07105","created_at":"2026-05-17T23:51:04Z"},{"alias_kind":"pith_short_12","alias_value":"FSLGPZM7WCPC","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"FSLGPZM7WCPC6ENS","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"FSLGPZM7","created_at":"2026-05-18T12:33:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:FSLGPZM7WCPC6ENSNKWVQGIHOE","target":"record","payload":{"canonical_record":{"source":{"id":"1903.07105","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-17T15:26:37Z","cross_cats_sorted":[],"title_canon_sha256":"4b189aa7b0543750dda938aed07d2d9ae45a7b1d09107d5e9baccb360c8900a1","abstract_canon_sha256":"5457e305447bc2a1859e5893abf126879efe547868f0bd3d48bac7f6da219c35"},"schema_version":"1.0"},"canonical_sha256":"2c9667e59fb09e2f11b26aad5819077133c775c92fe85e7c9e38ef08426a453b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:04.203631Z","signature_b64":"ZEG7wD7iEAgWJ0SG8gJzOQRtoaYb/36wi759QBm4z9pCBnhB2N7ZqvfWhZ6Cge9cyx1gyGw2BCBZ8bD3AfXkBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c9667e59fb09e2f11b26aad5819077133c775c92fe85e7c9e38ef08426a453b","last_reissued_at":"2026-05-17T23:51:04.203145Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:04.203145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.07105","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":"2026-05-17T23:51:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vX5VsIUbgj8cW9hLIe0V0lFmGY12GIOgG44rLLZ8OdOo1QTbYVGedI0qFpOe4UYCa7FHeMUlmeQ8RzUFK1NlBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T13:47:52.324277Z"},"content_sha256":"5322f30e538f0eebf7deac2d456cab6e248bbdf4d44491e4135a5c03bae50d1d","schema_version":"1.0","event_id":"sha256:5322f30e538f0eebf7deac2d456cab6e248bbdf4d44491e4135a5c03bae50d1d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:FSLGPZM7WCPC6ENSNKWVQGIHOE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rationality of $\\mathbb{Q}$-Fano threefolds of large Fano index","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Yuri Prokhorov","submitted_at":"2019-03-17T15:26:37Z","abstract_excerpt":"We prove that $\\mathbb{Q}$-Fano threefolds of Fano index $\\ge 8$ are rational."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.07105","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":"2026-05-17T23:51:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kdqt6AzMr5jPHPNztiRQWV1DvzGf/DvBJKw0DCesb9LjkABu7JfW+ecZAHP3dnuLfmS5yX/OMwNPqiXEJNT+AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T13:47:52.324928Z"},"content_sha256":"d1f7d7ba7ff16edc207f39c23a1d3b6a48e0e75f5dc1e14956c9cc0c11a08bcc","schema_version":"1.0","event_id":"sha256:d1f7d7ba7ff16edc207f39c23a1d3b6a48e0e75f5dc1e14956c9cc0c11a08bcc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FSLGPZM7WCPC6ENSNKWVQGIHOE/bundle.json","state_url":"https://pith.science/pith/FSLGPZM7WCPC6ENSNKWVQGIHOE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FSLGPZM7WCPC6ENSNKWVQGIHOE/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":"2026-05-24T13:47:52Z","links":{"resolver":"https://pith.science/pith/FSLGPZM7WCPC6ENSNKWVQGIHOE","bundle":"https://pith.science/pith/FSLGPZM7WCPC6ENSNKWVQGIHOE/bundle.json","state":"https://pith.science/pith/FSLGPZM7WCPC6ENSNKWVQGIHOE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FSLGPZM7WCPC6ENSNKWVQGIHOE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:FSLGPZM7WCPC6ENSNKWVQGIHOE","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":"5457e305447bc2a1859e5893abf126879efe547868f0bd3d48bac7f6da219c35","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-17T15:26:37Z","title_canon_sha256":"4b189aa7b0543750dda938aed07d2d9ae45a7b1d09107d5e9baccb360c8900a1"},"schema_version":"1.0","source":{"id":"1903.07105","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.07105","created_at":"2026-05-17T23:51:04Z"},{"alias_kind":"arxiv_version","alias_value":"1903.07105v1","created_at":"2026-05-17T23:51:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.07105","created_at":"2026-05-17T23:51:04Z"},{"alias_kind":"pith_short_12","alias_value":"FSLGPZM7WCPC","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"FSLGPZM7WCPC6ENS","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"FSLGPZM7","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:d1f7d7ba7ff16edc207f39c23a1d3b6a48e0e75f5dc1e14956c9cc0c11a08bcc","target":"graph","created_at":"2026-05-17T23:51:04Z","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 prove that $\\mathbb{Q}$-Fano threefolds of Fano index $\\ge 8$ are rational.","authors_text":"Yuri Prokhorov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-17T15:26:37Z","title":"Rationality of $\\mathbb{Q}$-Fano threefolds of large Fano index"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.07105","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":"sha256:5322f30e538f0eebf7deac2d456cab6e248bbdf4d44491e4135a5c03bae50d1d","target":"record","created_at":"2026-05-17T23:51:04Z","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":"5457e305447bc2a1859e5893abf126879efe547868f0bd3d48bac7f6da219c35","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-17T15:26:37Z","title_canon_sha256":"4b189aa7b0543750dda938aed07d2d9ae45a7b1d09107d5e9baccb360c8900a1"},"schema_version":"1.0","source":{"id":"1903.07105","kind":"arxiv","version":1}},"canonical_sha256":"2c9667e59fb09e2f11b26aad5819077133c775c92fe85e7c9e38ef08426a453b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c9667e59fb09e2f11b26aad5819077133c775c92fe85e7c9e38ef08426a453b","first_computed_at":"2026-05-17T23:51:04.203145Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:04.203145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZEG7wD7iEAgWJ0SG8gJzOQRtoaYb/36wi759QBm4z9pCBnhB2N7ZqvfWhZ6Cge9cyx1gyGw2BCBZ8bD3AfXkBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:04.203631Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.07105","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5322f30e538f0eebf7deac2d456cab6e248bbdf4d44491e4135a5c03bae50d1d","sha256:d1f7d7ba7ff16edc207f39c23a1d3b6a48e0e75f5dc1e14956c9cc0c11a08bcc"],"state_sha256":"234c3a95894307a293df31a34cb24b8ac1a8b45067ba612e7ba5ff98f101ed03"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ht6z/fpVknt2IxOIqf7Q4pktTHYS9T3vyd7ZG8DRt5E3jnIh7vilHAZcL6zUoOziaWutyBZSoi0iZsy6YImMBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T13:47:52.328436Z","bundle_sha256":"df87d2d41ee3a45fa538432c21e9a9865dc1b8b20f08aa15e9b9b775ce80d8b9"}}