{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:W6UPPWFWRATIIBSMJ6MNXJWNN5","short_pith_number":"pith:W6UPPWFW","canonical_record":{"source":{"id":"1311.0056","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-31T22:34:42Z","cross_cats_sorted":[],"title_canon_sha256":"cd69b6ef9b08bdb2fea073a228e4047ea217fbee2de8553de52d7c2ca09e64ed","abstract_canon_sha256":"a81da332eae08a41d11930901a3951ce21869ddc51a2cb10449a44b32e7aab6c"},"schema_version":"1.0"},"canonical_sha256":"b7a8f7d8b6882684064c4f98dba6cd6f5dab0dd4ee34ca61cc1da862f58fdcec","source":{"kind":"arxiv","id":"1311.0056","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.0056","created_at":"2026-05-18T03:08:16Z"},{"alias_kind":"arxiv_version","alias_value":"1311.0056v1","created_at":"2026-05-18T03:08:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0056","created_at":"2026-05-18T03:08:16Z"},{"alias_kind":"pith_short_12","alias_value":"W6UPPWFWRATI","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"W6UPPWFWRATIIBSM","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"W6UPPWFW","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:W6UPPWFWRATIIBSMJ6MNXJWNN5","target":"record","payload":{"canonical_record":{"source":{"id":"1311.0056","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-31T22:34:42Z","cross_cats_sorted":[],"title_canon_sha256":"cd69b6ef9b08bdb2fea073a228e4047ea217fbee2de8553de52d7c2ca09e64ed","abstract_canon_sha256":"a81da332eae08a41d11930901a3951ce21869ddc51a2cb10449a44b32e7aab6c"},"schema_version":"1.0"},"canonical_sha256":"b7a8f7d8b6882684064c4f98dba6cd6f5dab0dd4ee34ca61cc1da862f58fdcec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:16.180225Z","signature_b64":"3ckSuO4/u5ou4urYleeYRSV2smwQkRfiW28jaV4wm6M8dKg9jJll0/WI1Mfr/ugrl31BfDBim9k3w2lPwlNJAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7a8f7d8b6882684064c4f98dba6cd6f5dab0dd4ee34ca61cc1da862f58fdcec","last_reissued_at":"2026-05-18T03:08:16.179658Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:16.179658Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.0056","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":"2026-05-18T03:08:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HIwLQrC/IpYL8VEPWz2ZTZB97hBD8qP9P6l+9Q7QX92aJ3SqVsV1MiJyjbpMhjcNDek2Edn/BCHseH7iktJzDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T11:06:38.423766Z"},"content_sha256":"3f9dc702f300f10103e49a719aec91643a6ca4a41c5f2df227fc9a8bc87fd759","schema_version":"1.0","event_id":"sha256:3f9dc702f300f10103e49a719aec91643a6ca4a41c5f2df227fc9a8bc87fd759"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:W6UPPWFWRATIIBSMJ6MNXJWNN5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Derived-equivalent rational threefolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"John Lesieutre","submitted_at":"2013-10-31T22:34:42Z","abstract_excerpt":"We describe an infinite set of smooth projective threefolds that have equivalent derived categories but are not isomorphic, contrary to a conjecture of Kawamata. These arise as blow-ups of $\\mathbb P^3$ at various configurations of 8 points, which are related by Cremona transformations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0056","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":"2026-05-18T03:08:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3GOH8eMm7IHFZFiewdYdoY1AqKwywf/bhklAyuTw5r8CbFstw9ZN9+KH/dkmKv1qSuFpPrqxK24M2wPQ9bp9Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T11:06:38.424507Z"},"content_sha256":"cdfb60ba7bff15fbbdf0b15308ebd84eb3aeb21b466b26fe0d20f049355fd80b","schema_version":"1.0","event_id":"sha256:cdfb60ba7bff15fbbdf0b15308ebd84eb3aeb21b466b26fe0d20f049355fd80b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W6UPPWFWRATIIBSMJ6MNXJWNN5/bundle.json","state_url":"https://pith.science/pith/W6UPPWFWRATIIBSMJ6MNXJWNN5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W6UPPWFWRATIIBSMJ6MNXJWNN5/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":"2026-06-06T11:06:38Z","links":{"resolver":"https://pith.science/pith/W6UPPWFWRATIIBSMJ6MNXJWNN5","bundle":"https://pith.science/pith/W6UPPWFWRATIIBSMJ6MNXJWNN5/bundle.json","state":"https://pith.science/pith/W6UPPWFWRATIIBSMJ6MNXJWNN5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W6UPPWFWRATIIBSMJ6MNXJWNN5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:W6UPPWFWRATIIBSMJ6MNXJWNN5","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":"a81da332eae08a41d11930901a3951ce21869ddc51a2cb10449a44b32e7aab6c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-31T22:34:42Z","title_canon_sha256":"cd69b6ef9b08bdb2fea073a228e4047ea217fbee2de8553de52d7c2ca09e64ed"},"schema_version":"1.0","source":{"id":"1311.0056","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.0056","created_at":"2026-05-18T03:08:16Z"},{"alias_kind":"arxiv_version","alias_value":"1311.0056v1","created_at":"2026-05-18T03:08:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0056","created_at":"2026-05-18T03:08:16Z"},{"alias_kind":"pith_short_12","alias_value":"W6UPPWFWRATI","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"W6UPPWFWRATIIBSM","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"W6UPPWFW","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:cdfb60ba7bff15fbbdf0b15308ebd84eb3aeb21b466b26fe0d20f049355fd80b","target":"graph","created_at":"2026-05-18T03:08:16Z","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 describe an infinite set of smooth projective threefolds that have equivalent derived categories but are not isomorphic, contrary to a conjecture of Kawamata. These arise as blow-ups of $\\mathbb P^3$ at various configurations of 8 points, which are related by Cremona transformations.","authors_text":"John Lesieutre","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-31T22:34:42Z","title":"Derived-equivalent rational threefolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0056","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":"sha256:3f9dc702f300f10103e49a719aec91643a6ca4a41c5f2df227fc9a8bc87fd759","target":"record","created_at":"2026-05-18T03:08:16Z","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":"a81da332eae08a41d11930901a3951ce21869ddc51a2cb10449a44b32e7aab6c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-31T22:34:42Z","title_canon_sha256":"cd69b6ef9b08bdb2fea073a228e4047ea217fbee2de8553de52d7c2ca09e64ed"},"schema_version":"1.0","source":{"id":"1311.0056","kind":"arxiv","version":1}},"canonical_sha256":"b7a8f7d8b6882684064c4f98dba6cd6f5dab0dd4ee34ca61cc1da862f58fdcec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7a8f7d8b6882684064c4f98dba6cd6f5dab0dd4ee34ca61cc1da862f58fdcec","first_computed_at":"2026-05-18T03:08:16.179658Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:16.179658Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3ckSuO4/u5ou4urYleeYRSV2smwQkRfiW28jaV4wm6M8dKg9jJll0/WI1Mfr/ugrl31BfDBim9k3w2lPwlNJAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:16.180225Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.0056","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f9dc702f300f10103e49a719aec91643a6ca4a41c5f2df227fc9a8bc87fd759","sha256:cdfb60ba7bff15fbbdf0b15308ebd84eb3aeb21b466b26fe0d20f049355fd80b"],"state_sha256":"1815e0eb38dfcb5c39e0d59071537a721a8c5577ac768878de9adb3dd4b7fecb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XjnKn4p8+hKGc6d9ekSidSKV5WPwZOAENCkRuERjyN8AtLdPRFDBcXwq74b4hu6C/S6uwC5lp/xxHZAeTVfPCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T11:06:38.428675Z","bundle_sha256":"170f7d509433ea5b88707a36ec5e8c7b8a1b9e73763de070e7bb0981c6dceb54"}}