{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:DA3UDL7QMBNQABP76FV62745IM","short_pith_number":"pith:DA3UDL7Q","canonical_record":{"source":{"id":"1009.5801","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-29T08:29:17Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"336f6439b9f233afe1b00cd47c25b3556563204984e211e2bbc780b56f341363","abstract_canon_sha256":"00fdd3afcddfee78ce6d976af762738a7a5be48e2473325f0d6a8a69e3795435"},"schema_version":"1.0"},"canonical_sha256":"183741aff0605b0005fff16bed7f9d43127469a6059b487a172191cf22778b00","source":{"kind":"arxiv","id":"1009.5801","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.5801","created_at":"2026-05-18T04:40:08Z"},{"alias_kind":"arxiv_version","alias_value":"1009.5801v1","created_at":"2026-05-18T04:40:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.5801","created_at":"2026-05-18T04:40:08Z"},{"alias_kind":"pith_short_12","alias_value":"DA3UDL7QMBNQ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DA3UDL7QMBNQABP7","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DA3UDL7Q","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:DA3UDL7QMBNQABP76FV62745IM","target":"record","payload":{"canonical_record":{"source":{"id":"1009.5801","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-29T08:29:17Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"336f6439b9f233afe1b00cd47c25b3556563204984e211e2bbc780b56f341363","abstract_canon_sha256":"00fdd3afcddfee78ce6d976af762738a7a5be48e2473325f0d6a8a69e3795435"},"schema_version":"1.0"},"canonical_sha256":"183741aff0605b0005fff16bed7f9d43127469a6059b487a172191cf22778b00","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:08.886735Z","signature_b64":"EMPwdktgc6Uo6oEPQsxeENCg5G5MI1cYPh24JKu6cSS/B4uSTAwHdLw8cvRZnQjtrKw0G7hRB4c0SQnvLx2KCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"183741aff0605b0005fff16bed7f9d43127469a6059b487a172191cf22778b00","last_reissued_at":"2026-05-18T04:40:08.886269Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:08.886269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.5801","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":"2026-05-18T04:40:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MGfSrncWy06CMNkrM4IiDAyzX5mo7aI+suAbxvzFIw4DDzA63Bt6uxU4w1BmvMm7ZE9gWz05DYAf/eC+NcDvAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T06:29:38.534175Z"},"content_sha256":"7b465014de9289fc2eab142e86521d251a2e552c0d6e44b034f3528ae70df2fd","schema_version":"1.0","event_id":"sha256:7b465014de9289fc2eab142e86521d251a2e552c0d6e44b034f3528ae70df2fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:DA3UDL7QMBNQABP76FV62745IM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Holomorphic Cartan geometries, Calabi--Yau manifolds and rational curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Benjamin McKay (University College Cork), Indranil Biswas (Tata Institute of Fundamental Research)","submitted_at":"2010-09-29T08:29:17Z","abstract_excerpt":"We prove that if a Calabi--Yau manifold $M$ admits a holomorphic Cartan geometry, then $M$ is covered by a complex torus. This is done by establishing the Bogomolov inequality for semistable sheaves on compact K\\\"ahler manifolds. We also classify all holomorphic Cartan geometries on rationally connected complex projective manifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5801","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":"2026-05-18T04:40:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LYgLDrfD+8bUrgXzeLi86BWe0axWqNwDwB7E13ef/ISaPBOZp9T9mDIl2dF3HOqryr3UZjJIS4YIcUfvLGrDDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T06:29:38.534774Z"},"content_sha256":"05f8ecc1a7c496f3e6ccf1d29ab7b9d5cb316245c419160dac16cb27b135e7d9","schema_version":"1.0","event_id":"sha256:05f8ecc1a7c496f3e6ccf1d29ab7b9d5cb316245c419160dac16cb27b135e7d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DA3UDL7QMBNQABP76FV62745IM/bundle.json","state_url":"https://pith.science/pith/DA3UDL7QMBNQABP76FV62745IM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DA3UDL7QMBNQABP76FV62745IM/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":"2026-07-07T06:29:38Z","links":{"resolver":"https://pith.science/pith/DA3UDL7QMBNQABP76FV62745IM","bundle":"https://pith.science/pith/DA3UDL7QMBNQABP76FV62745IM/bundle.json","state":"https://pith.science/pith/DA3UDL7QMBNQABP76FV62745IM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DA3UDL7QMBNQABP76FV62745IM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DA3UDL7QMBNQABP76FV62745IM","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":"00fdd3afcddfee78ce6d976af762738a7a5be48e2473325f0d6a8a69e3795435","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-29T08:29:17Z","title_canon_sha256":"336f6439b9f233afe1b00cd47c25b3556563204984e211e2bbc780b56f341363"},"schema_version":"1.0","source":{"id":"1009.5801","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.5801","created_at":"2026-05-18T04:40:08Z"},{"alias_kind":"arxiv_version","alias_value":"1009.5801v1","created_at":"2026-05-18T04:40:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.5801","created_at":"2026-05-18T04:40:08Z"},{"alias_kind":"pith_short_12","alias_value":"DA3UDL7QMBNQ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DA3UDL7QMBNQABP7","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DA3UDL7Q","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:05f8ecc1a7c496f3e6ccf1d29ab7b9d5cb316245c419160dac16cb27b135e7d9","target":"graph","created_at":"2026-05-18T04:40:08Z","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 prove that if a Calabi--Yau manifold $M$ admits a holomorphic Cartan geometry, then $M$ is covered by a complex torus. This is done by establishing the Bogomolov inequality for semistable sheaves on compact K\\\"ahler manifolds. We also classify all holomorphic Cartan geometries on rationally connected complex projective manifolds.","authors_text":"Benjamin McKay (University College Cork), Indranil Biswas (Tata Institute of Fundamental Research)","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-29T08:29:17Z","title":"Holomorphic Cartan geometries, Calabi--Yau manifolds and rational curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5801","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":"sha256:7b465014de9289fc2eab142e86521d251a2e552c0d6e44b034f3528ae70df2fd","target":"record","created_at":"2026-05-18T04:40:08Z","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":"00fdd3afcddfee78ce6d976af762738a7a5be48e2473325f0d6a8a69e3795435","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-29T08:29:17Z","title_canon_sha256":"336f6439b9f233afe1b00cd47c25b3556563204984e211e2bbc780b56f341363"},"schema_version":"1.0","source":{"id":"1009.5801","kind":"arxiv","version":1}},"canonical_sha256":"183741aff0605b0005fff16bed7f9d43127469a6059b487a172191cf22778b00","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"183741aff0605b0005fff16bed7f9d43127469a6059b487a172191cf22778b00","first_computed_at":"2026-05-18T04:40:08.886269Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:08.886269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EMPwdktgc6Uo6oEPQsxeENCg5G5MI1cYPh24JKu6cSS/B4uSTAwHdLw8cvRZnQjtrKw0G7hRB4c0SQnvLx2KCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:08.886735Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.5801","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b465014de9289fc2eab142e86521d251a2e552c0d6e44b034f3528ae70df2fd","sha256:05f8ecc1a7c496f3e6ccf1d29ab7b9d5cb316245c419160dac16cb27b135e7d9"],"state_sha256":"8399bbe1bc85518e1b2acedceef10ea01ae865c45229d1ccedc9ee04b8f2a4bc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Om9Nn4Zs/7BayIOiLALs6EMHoflolvksn//1DwVEoCYk5aURLHs5s5ikg5NttHqxqOU+vcqmDZ4r9IcIeQ9TBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T06:29:38.537826Z","bundle_sha256":"92fc3c95ca59b4edd332f8972324abbac540d4aea5631ec946fc4ec021886886"}}