{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:QE4N4ZBIEMXWQFBZVJR36Z6DK7","short_pith_number":"pith:QE4N4ZBI","canonical_record":{"source":{"id":"1903.06872","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-16T03:06:57Z","cross_cats_sorted":[],"title_canon_sha256":"20cc33dd9617232b152bd224c84498af39b2406cbf52f9948b10f2085578b783","abstract_canon_sha256":"8b27711e4b4d649c59b8f3f4a4f60675bc25b27a7de0a62919c0553a614e2fb7"},"schema_version":"1.0"},"canonical_sha256":"8138de6428232f681439aa63bf67c357e495ebec5cd286670dc98297a759c24e","source":{"kind":"arxiv","id":"1903.06872","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.06872","created_at":"2026-05-17T23:51:08Z"},{"alias_kind":"arxiv_version","alias_value":"1903.06872v1","created_at":"2026-05-17T23:51:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.06872","created_at":"2026-05-17T23:51:08Z"},{"alias_kind":"pith_short_12","alias_value":"QE4N4ZBIEMXW","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"QE4N4ZBIEMXWQFBZ","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"QE4N4ZBI","created_at":"2026-05-18T12:33:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:QE4N4ZBIEMXWQFBZVJR36Z6DK7","target":"record","payload":{"canonical_record":{"source":{"id":"1903.06872","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-16T03:06:57Z","cross_cats_sorted":[],"title_canon_sha256":"20cc33dd9617232b152bd224c84498af39b2406cbf52f9948b10f2085578b783","abstract_canon_sha256":"8b27711e4b4d649c59b8f3f4a4f60675bc25b27a7de0a62919c0553a614e2fb7"},"schema_version":"1.0"},"canonical_sha256":"8138de6428232f681439aa63bf67c357e495ebec5cd286670dc98297a759c24e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:08.772166Z","signature_b64":"hhatNdOoboXfnjSCfBQnT1MpUz8hhtnL/+C1d/LZDR7EF9ZfhUtrZRzmGgMVdxm9j4H2I6bAAgK28QTF1pdHBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8138de6428232f681439aa63bf67c357e495ebec5cd286670dc98297a759c24e","last_reissued_at":"2026-05-17T23:51:08.771620Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:08.771620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.06872","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":"2026-05-17T23:51:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4XhzvDHM6aDEUuFeq/yt/MMqWLNCbgVQ8avEba+90VQXJWD2MCg1wAewlV62Z2mAw63KL4wmsOGZGkuGvg9kAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T05:48:47.608462Z"},"content_sha256":"30139e71ee034af4157db872fa79dc3cffcf2df22d2470f270aeba9cd89aaa46","schema_version":"1.0","event_id":"sha256:30139e71ee034af4157db872fa79dc3cffcf2df22d2470f270aeba9cd89aaa46"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:QE4N4ZBIEMXWQFBZVJR36Z6DK7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Refinement of the classification of weak Fano threefolds with sextic del Pezzo fibrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Takeru Fukuoka","submitted_at":"2019-03-16T03:06:57Z","abstract_excerpt":"We refine the classification of weak Fano threefolds with sextic del Pezzo fibrations by considering the Hodge numbers of them. By the refined classification result, such threefolds are classified into 17 cases. The main result of this paper is to show that there exists an example for each of 17 cases, except for 2 cases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.06872","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":"2026-05-17T23:51:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wHMCOQP4p7yZ7ek49GdD4/iu4VmlG1Vcu9zgupRO1O4Mu70GRH0B8R8Q9Y8tnglZEZdantDlm57QtaVC10WvDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T05:48:47.608993Z"},"content_sha256":"891d593e3649b507bf47febc401b8ea051928aa7fdc8b5e58fc78b901acdef37","schema_version":"1.0","event_id":"sha256:891d593e3649b507bf47febc401b8ea051928aa7fdc8b5e58fc78b901acdef37"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QE4N4ZBIEMXWQFBZVJR36Z6DK7/bundle.json","state_url":"https://pith.science/pith/QE4N4ZBIEMXWQFBZVJR36Z6DK7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QE4N4ZBIEMXWQFBZVJR36Z6DK7/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":"2026-08-17T05:48:47Z","links":{"resolver":"https://pith.science/pith/QE4N4ZBIEMXWQFBZVJR36Z6DK7","bundle":"https://pith.science/pith/QE4N4ZBIEMXWQFBZVJR36Z6DK7/bundle.json","state":"https://pith.science/pith/QE4N4ZBIEMXWQFBZVJR36Z6DK7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QE4N4ZBIEMXWQFBZVJR36Z6DK7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QE4N4ZBIEMXWQFBZVJR36Z6DK7","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":"8b27711e4b4d649c59b8f3f4a4f60675bc25b27a7de0a62919c0553a614e2fb7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-16T03:06:57Z","title_canon_sha256":"20cc33dd9617232b152bd224c84498af39b2406cbf52f9948b10f2085578b783"},"schema_version":"1.0","source":{"id":"1903.06872","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.06872","created_at":"2026-05-17T23:51:08Z"},{"alias_kind":"arxiv_version","alias_value":"1903.06872v1","created_at":"2026-05-17T23:51:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.06872","created_at":"2026-05-17T23:51:08Z"},{"alias_kind":"pith_short_12","alias_value":"QE4N4ZBIEMXW","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"QE4N4ZBIEMXWQFBZ","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"QE4N4ZBI","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:891d593e3649b507bf47febc401b8ea051928aa7fdc8b5e58fc78b901acdef37","target":"graph","created_at":"2026-05-17T23:51:08Z","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 refine the classification of weak Fano threefolds with sextic del Pezzo fibrations by considering the Hodge numbers of them. By the refined classification result, such threefolds are classified into 17 cases. The main result of this paper is to show that there exists an example for each of 17 cases, except for 2 cases.","authors_text":"Takeru Fukuoka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-16T03:06:57Z","title":"Refinement of the classification of weak Fano threefolds with sextic del Pezzo fibrations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.06872","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":"sha256:30139e71ee034af4157db872fa79dc3cffcf2df22d2470f270aeba9cd89aaa46","target":"record","created_at":"2026-05-17T23:51:08Z","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":"8b27711e4b4d649c59b8f3f4a4f60675bc25b27a7de0a62919c0553a614e2fb7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-16T03:06:57Z","title_canon_sha256":"20cc33dd9617232b152bd224c84498af39b2406cbf52f9948b10f2085578b783"},"schema_version":"1.0","source":{"id":"1903.06872","kind":"arxiv","version":1}},"canonical_sha256":"8138de6428232f681439aa63bf67c357e495ebec5cd286670dc98297a759c24e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8138de6428232f681439aa63bf67c357e495ebec5cd286670dc98297a759c24e","first_computed_at":"2026-05-17T23:51:08.771620Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:08.771620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hhatNdOoboXfnjSCfBQnT1MpUz8hhtnL/+C1d/LZDR7EF9ZfhUtrZRzmGgMVdxm9j4H2I6bAAgK28QTF1pdHBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:08.772166Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.06872","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30139e71ee034af4157db872fa79dc3cffcf2df22d2470f270aeba9cd89aaa46","sha256:891d593e3649b507bf47febc401b8ea051928aa7fdc8b5e58fc78b901acdef37"],"state_sha256":"c880b4aea7ffcaa8d162fb924736a7b208bdf24aaa51d4b5e0102b37fb11ef98"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x7r5SLfmDHj1AW+bzqaIa8bTBhtlpO60nAWhJPd6gTUoxaXrn+yjUvcJSdnJMErmzp5sN5o4PDjXi7A1gohODA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T05:48:47.613923Z","bundle_sha256":"c7cf4ee294e25b33074dfe1cb1bdfc98ad8277b9dafec7391113a7b59d59c503"}}