{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:FRMSHHW3M4IR4P6MF77JVW4OGY","short_pith_number":"pith:FRMSHHW3","canonical_record":{"source":{"id":"1104.5084","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-04-27T08:13:36Z","cross_cats_sorted":[],"title_canon_sha256":"5a0fa9653013adb28bce9f69ae0e29c75e37ebfbad0d297e0e6282c75c526652","abstract_canon_sha256":"3c3667e3f0e9c8700bfc21d47557727cb1f1156c0b2186d3bf43fc632fa7f7d3"},"schema_version":"1.0"},"canonical_sha256":"2c59239edb67111e3fcc2ffe9adb8e361ac5d25ad58a031464daf52469c5f1e3","source":{"kind":"arxiv","id":"1104.5084","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.5084","created_at":"2026-05-18T04:11:31Z"},{"alias_kind":"arxiv_version","alias_value":"1104.5084v2","created_at":"2026-05-18T04:11:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5084","created_at":"2026-05-18T04:11:31Z"},{"alias_kind":"pith_short_12","alias_value":"FRMSHHW3M4IR","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FRMSHHW3M4IR4P6M","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FRMSHHW3","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:FRMSHHW3M4IR4P6MF77JVW4OGY","target":"record","payload":{"canonical_record":{"source":{"id":"1104.5084","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-04-27T08:13:36Z","cross_cats_sorted":[],"title_canon_sha256":"5a0fa9653013adb28bce9f69ae0e29c75e37ebfbad0d297e0e6282c75c526652","abstract_canon_sha256":"3c3667e3f0e9c8700bfc21d47557727cb1f1156c0b2186d3bf43fc632fa7f7d3"},"schema_version":"1.0"},"canonical_sha256":"2c59239edb67111e3fcc2ffe9adb8e361ac5d25ad58a031464daf52469c5f1e3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:31.650071Z","signature_b64":"wYrU/7p3RseBk2oor7NAePTIsUEte4bMYtMWloUsAk6LQb8aBQJ/kAlDqRPsIu3MYkyu0Kks0DILok0Z4/d4CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c59239edb67111e3fcc2ffe9adb8e361ac5d25ad58a031464daf52469c5f1e3","last_reissued_at":"2026-05-18T04:11:31.649423Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:31.649423Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.5084","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":"2026-05-18T04:11:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7gh5dDmI2Dui6VvyTPrW6lo0+z2hK9KR2rNcnhZG3tDeHvTMWHA0EKweoz9tu7goSjtmbO+H+5HCIHFa8dJ/DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T02:27:55.418552Z"},"content_sha256":"3fe18ddf2d93ecdf88a05add235b029f3beba733b37ab0142717fd8d33f52216","schema_version":"1.0","event_id":"sha256:3fe18ddf2d93ecdf88a05add235b029f3beba733b37ab0142717fd8d33f52216"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:FRMSHHW3M4IR4P6MF77JVW4OGY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On projective space bundle with nef normalized tautological divisor","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Kazunori Yasutake","submitted_at":"2011-04-27T08:13:36Z","abstract_excerpt":"In this paper, we study the structure of projective space bundles whose relative anti-canonical line bundle is nef. As an application, we get a characterization of abelian varieties up to finite etale covering."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5084","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":"2026-05-18T04:11:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k3GqtipAbcDVvCbJGp9KJ3AA2xPy/Ia3eZ2kjwiN4xcZ0jwm5/LAnTg2nBi/ICXPfjf1Xk6eZLS7yOyomsAbDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T02:27:55.419262Z"},"content_sha256":"479c665a32bdd62fd69e0b72ee4aeff5064cfb003106a4d3c1d917b6c66b353b","schema_version":"1.0","event_id":"sha256:479c665a32bdd62fd69e0b72ee4aeff5064cfb003106a4d3c1d917b6c66b353b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FRMSHHW3M4IR4P6MF77JVW4OGY/bundle.json","state_url":"https://pith.science/pith/FRMSHHW3M4IR4P6MF77JVW4OGY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FRMSHHW3M4IR4P6MF77JVW4OGY/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":"2026-06-08T02:27:55Z","links":{"resolver":"https://pith.science/pith/FRMSHHW3M4IR4P6MF77JVW4OGY","bundle":"https://pith.science/pith/FRMSHHW3M4IR4P6MF77JVW4OGY/bundle.json","state":"https://pith.science/pith/FRMSHHW3M4IR4P6MF77JVW4OGY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FRMSHHW3M4IR4P6MF77JVW4OGY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FRMSHHW3M4IR4P6MF77JVW4OGY","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":"3c3667e3f0e9c8700bfc21d47557727cb1f1156c0b2186d3bf43fc632fa7f7d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-04-27T08:13:36Z","title_canon_sha256":"5a0fa9653013adb28bce9f69ae0e29c75e37ebfbad0d297e0e6282c75c526652"},"schema_version":"1.0","source":{"id":"1104.5084","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.5084","created_at":"2026-05-18T04:11:31Z"},{"alias_kind":"arxiv_version","alias_value":"1104.5084v2","created_at":"2026-05-18T04:11:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5084","created_at":"2026-05-18T04:11:31Z"},{"alias_kind":"pith_short_12","alias_value":"FRMSHHW3M4IR","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FRMSHHW3M4IR4P6M","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FRMSHHW3","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:479c665a32bdd62fd69e0b72ee4aeff5064cfb003106a4d3c1d917b6c66b353b","target":"graph","created_at":"2026-05-18T04:11:31Z","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":"In this paper, we study the structure of projective space bundles whose relative anti-canonical line bundle is nef. As an application, we get a characterization of abelian varieties up to finite etale covering.","authors_text":"Kazunori Yasutake","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-04-27T08:13:36Z","title":"On projective space bundle with nef normalized tautological divisor"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5084","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":"sha256:3fe18ddf2d93ecdf88a05add235b029f3beba733b37ab0142717fd8d33f52216","target":"record","created_at":"2026-05-18T04:11:31Z","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":"3c3667e3f0e9c8700bfc21d47557727cb1f1156c0b2186d3bf43fc632fa7f7d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-04-27T08:13:36Z","title_canon_sha256":"5a0fa9653013adb28bce9f69ae0e29c75e37ebfbad0d297e0e6282c75c526652"},"schema_version":"1.0","source":{"id":"1104.5084","kind":"arxiv","version":2}},"canonical_sha256":"2c59239edb67111e3fcc2ffe9adb8e361ac5d25ad58a031464daf52469c5f1e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c59239edb67111e3fcc2ffe9adb8e361ac5d25ad58a031464daf52469c5f1e3","first_computed_at":"2026-05-18T04:11:31.649423Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:31.649423Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wYrU/7p3RseBk2oor7NAePTIsUEte4bMYtMWloUsAk6LQb8aBQJ/kAlDqRPsIu3MYkyu0Kks0DILok0Z4/d4CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:31.650071Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.5084","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3fe18ddf2d93ecdf88a05add235b029f3beba733b37ab0142717fd8d33f52216","sha256:479c665a32bdd62fd69e0b72ee4aeff5064cfb003106a4d3c1d917b6c66b353b"],"state_sha256":"b955e6673b03104624a2f9d28bf6a509647d5af461df6cad6be1c053911af76d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w3QS/JjH8vgzgFQ6iVCFbJeYr+FOuSLEuxQMlbLmfFOTRzQ2fuik6Fm39Bs2MnwgfOvJ150S4f6c3/+44vn9BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T02:27:55.422960Z","bundle_sha256":"27359d72e2c9886546adec9a7045fbf80e1c756dbee30f6d450813f80a14b028"}}