{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:L2KZ2JKEN5QKCXECH5R2TFPBG6","short_pith_number":"pith:L2KZ2JKE","canonical_record":{"source":{"id":"1904.10185","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-04-23T07:40:24Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"f0b2cb83f73f2d1557a16f3a473857e2354d5d37f7176c5fe4922c2094be8d3b","abstract_canon_sha256":"470078d7bbf811aa6ff7647910b1e1fb30df210c4c8d931eed4d13195aba3808"},"schema_version":"1.0"},"canonical_sha256":"5e959d25446f60a15c823f63a995e13798c36811726ab968645cfdfdf76808c3","source":{"kind":"arxiv","id":"1904.10185","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.10185","created_at":"2026-05-17T23:47:54Z"},{"alias_kind":"arxiv_version","alias_value":"1904.10185v1","created_at":"2026-05-17T23:47:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.10185","created_at":"2026-05-17T23:47:54Z"},{"alias_kind":"pith_short_12","alias_value":"L2KZ2JKEN5QK","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"L2KZ2JKEN5QKCXEC","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"L2KZ2JKE","created_at":"2026-05-18T12:33:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:L2KZ2JKEN5QKCXECH5R2TFPBG6","target":"record","payload":{"canonical_record":{"source":{"id":"1904.10185","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-04-23T07:40:24Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"f0b2cb83f73f2d1557a16f3a473857e2354d5d37f7176c5fe4922c2094be8d3b","abstract_canon_sha256":"470078d7bbf811aa6ff7647910b1e1fb30df210c4c8d931eed4d13195aba3808"},"schema_version":"1.0"},"canonical_sha256":"5e959d25446f60a15c823f63a995e13798c36811726ab968645cfdfdf76808c3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:54.888643Z","signature_b64":"nAs5g8VlYHfRVPSU+iY81l9yVgIWtKZnFHAHcUMDNo8q93i7StBsBoSk9Mvt5krkCXX2YuYaqOVmXS4jRbklDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e959d25446f60a15c823f63a995e13798c36811726ab968645cfdfdf76808c3","last_reissued_at":"2026-05-17T23:47:54.888228Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:54.888228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.10185","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":"2026-05-17T23:47:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D7s57K3IVZxPkBcFQoVfVg1B8MQIlvFwNsNd3rRsFmZKD814FaBJt+1pi6AyLvcrll0AXQGN1yuPibIgd/w4AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T23:33:22.001107Z"},"content_sha256":"f37e3179ddd00f097ccef08cdbcfe2eae4b1cebf692989a458c058efd7d94e4f","schema_version":"1.0","event_id":"sha256:f37e3179ddd00f097ccef08cdbcfe2eae4b1cebf692989a458c058efd7d94e4f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:L2KZ2JKEN5QKCXECH5R2TFPBG6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fano manifolds of coindex three admitting nef tangent bundle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Kiwamu Watanabe","submitted_at":"2019-04-23T07:40:24Z","abstract_excerpt":"We prove that any Fano manifold of coindex three admitting nef tangent bundle is homogeneous."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.10185","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":"2026-05-17T23:47:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pGzaNo/fo2dXsP/hUSWlMctrNo1UkELz8n96cxu2HQf3edF8PAj92N5Rwy/o1TQz1kAn/ldyskdASJ1GLBvFDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T23:33:22.001480Z"},"content_sha256":"45c506e68e9032c9c3492d65360fcc1c062b8367a00b2ea37661d030b0004bd4","schema_version":"1.0","event_id":"sha256:45c506e68e9032c9c3492d65360fcc1c062b8367a00b2ea37661d030b0004bd4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L2KZ2JKEN5QKCXECH5R2TFPBG6/bundle.json","state_url":"https://pith.science/pith/L2KZ2JKEN5QKCXECH5R2TFPBG6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L2KZ2JKEN5QKCXECH5R2TFPBG6/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":"2026-06-28T23:33:22Z","links":{"resolver":"https://pith.science/pith/L2KZ2JKEN5QKCXECH5R2TFPBG6","bundle":"https://pith.science/pith/L2KZ2JKEN5QKCXECH5R2TFPBG6/bundle.json","state":"https://pith.science/pith/L2KZ2JKEN5QKCXECH5R2TFPBG6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L2KZ2JKEN5QKCXECH5R2TFPBG6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:L2KZ2JKEN5QKCXECH5R2TFPBG6","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":"470078d7bbf811aa6ff7647910b1e1fb30df210c4c8d931eed4d13195aba3808","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-04-23T07:40:24Z","title_canon_sha256":"f0b2cb83f73f2d1557a16f3a473857e2354d5d37f7176c5fe4922c2094be8d3b"},"schema_version":"1.0","source":{"id":"1904.10185","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.10185","created_at":"2026-05-17T23:47:54Z"},{"alias_kind":"arxiv_version","alias_value":"1904.10185v1","created_at":"2026-05-17T23:47:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.10185","created_at":"2026-05-17T23:47:54Z"},{"alias_kind":"pith_short_12","alias_value":"L2KZ2JKEN5QK","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"L2KZ2JKEN5QKCXEC","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"L2KZ2JKE","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:45c506e68e9032c9c3492d65360fcc1c062b8367a00b2ea37661d030b0004bd4","target":"graph","created_at":"2026-05-17T23:47:54Z","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 any Fano manifold of coindex three admitting nef tangent bundle is homogeneous.","authors_text":"Kiwamu Watanabe","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-04-23T07:40:24Z","title":"Fano manifolds of coindex three admitting nef tangent bundle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.10185","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:f37e3179ddd00f097ccef08cdbcfe2eae4b1cebf692989a458c058efd7d94e4f","target":"record","created_at":"2026-05-17T23:47:54Z","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":"470078d7bbf811aa6ff7647910b1e1fb30df210c4c8d931eed4d13195aba3808","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-04-23T07:40:24Z","title_canon_sha256":"f0b2cb83f73f2d1557a16f3a473857e2354d5d37f7176c5fe4922c2094be8d3b"},"schema_version":"1.0","source":{"id":"1904.10185","kind":"arxiv","version":1}},"canonical_sha256":"5e959d25446f60a15c823f63a995e13798c36811726ab968645cfdfdf76808c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e959d25446f60a15c823f63a995e13798c36811726ab968645cfdfdf76808c3","first_computed_at":"2026-05-17T23:47:54.888228Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:54.888228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nAs5g8VlYHfRVPSU+iY81l9yVgIWtKZnFHAHcUMDNo8q93i7StBsBoSk9Mvt5krkCXX2YuYaqOVmXS4jRbklDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:54.888643Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.10185","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f37e3179ddd00f097ccef08cdbcfe2eae4b1cebf692989a458c058efd7d94e4f","sha256:45c506e68e9032c9c3492d65360fcc1c062b8367a00b2ea37661d030b0004bd4"],"state_sha256":"7831a2f684c013fc6c2359d0070e14a3e59915e914432ca3f4c466d2dbaeeb1e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yvxCTZMWFIeGxHFsabNeWFbbQjDbhmIffw3dZMrVtyQMdff33nHTluIOeYvKdyzbDtua+rRQ7Xz3Hy06fBbBDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T23:33:22.003370Z","bundle_sha256":"8545c2c43a2faea44d621ba3c446ff971c2136247842af3d32d3e42b34f2bf9c"}}