{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:3FDDHZMKPVY2SL7AEBHETYPQNQ","short_pith_number":"pith:3FDDHZMK","canonical_record":{"source":{"id":"0705.0710","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2007-05-07T14:29:01Z","cross_cats_sorted":["gr-qc","math.AG","math.AP"],"title_canon_sha256":"fcba523ce3c4ccc756a2fac63e4a199873d3661d1e0f8db798456bdd9ff76a00","abstract_canon_sha256":"231cc6c9560ac2109388c49b7575fbb82f523d4967b700d140a48acdfe70da08"},"schema_version":"1.0"},"canonical_sha256":"d94633e58a7d71a92fe0204e49e1f06c3123c37e94d2a023c408ac9c1eb94068","source":{"kind":"arxiv","id":"0705.0710","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0705.0710","created_at":"2026-07-04T15:02:09Z"},{"alias_kind":"arxiv_version","alias_value":"0705.0710v2","created_at":"2026-07-04T15:02:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0705.0710","created_at":"2026-07-04T15:02:09Z"},{"alias_kind":"pith_short_12","alias_value":"3FDDHZMKPVY2","created_at":"2026-07-04T15:02:09Z"},{"alias_kind":"pith_short_16","alias_value":"3FDDHZMKPVY2SL7A","created_at":"2026-07-04T15:02:09Z"},{"alias_kind":"pith_short_8","alias_value":"3FDDHZMK","created_at":"2026-07-04T15:02:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:3FDDHZMKPVY2SL7AEBHETYPQNQ","target":"record","payload":{"canonical_record":{"source":{"id":"0705.0710","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2007-05-07T14:29:01Z","cross_cats_sorted":["gr-qc","math.AG","math.AP"],"title_canon_sha256":"fcba523ce3c4ccc756a2fac63e4a199873d3661d1e0f8db798456bdd9ff76a00","abstract_canon_sha256":"231cc6c9560ac2109388c49b7575fbb82f523d4967b700d140a48acdfe70da08"},"schema_version":"1.0"},"canonical_sha256":"d94633e58a7d71a92fe0204e49e1f06c3123c37e94d2a023c408ac9c1eb94068","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:02:09.743715Z","signature_b64":"6PjCfYJkbWf9TcHCF5rFJpKKHKBpTIoIQcLDhRK45RcRkxAZhBMKus+5qysmSTEcUqi8V02h7yC7Dc+NMvZZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d94633e58a7d71a92fe0204e49e1f06c3123c37e94d2a023c408ac9c1eb94068","last_reissued_at":"2026-07-04T15:02:09.743223Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:02:09.743223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0705.0710","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":"2026-07-04T15:02:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IqGG7SNAY5KNSlyIb8HbOWKNTGpOLzDMF5DPp8fe6fHWIFVfo25obLQaLvCwXAVfaUNBHAWI7DsGgQAtfFPECQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-29T03:10:20.146169Z"},"content_sha256":"9af6c9bd764d9390e03e25036956519e366b3e0e00e5afde7191062b192b2aab","schema_version":"1.0","event_id":"sha256:9af6c9bd764d9390e03e25036956519e366b3e0e00e5afde7191062b192b2aab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:3FDDHZMKPVY2SL7AEBHETYPQNQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Conformally Kaehler, Einstein Manifolds","license":"","headline":"","cross_cats":["gr-qc","math.AG","math.AP"],"primary_cat":"math.DG","authors_text":"Brian Weber, Claude LeBrun, Xiuxiong Chen","submitted_at":"2007-05-07T14:29:01Z","abstract_excerpt":"We prove that any compact complex surface with positive first Chern class admits an Einstein metric which is conformally related to a Kaehler metric. The key new ingredient is the existence of such a metric on the blow-up of the complex projective plane at two distinct points."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0705.0710","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0705.0710/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:02:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5TGeZPgd+eCfLhkggH1dqqfIuk8uxxrn4NfsecXtaNL0TLTYdveQnevSjmF35ek9l/JiPnNYB9KlOxVnCy07DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-29T03:10:20.146557Z"},"content_sha256":"306b077d439dc5b10ad68b50f874ff02374d9ac5eefb345f8a8a2f4875881c88","schema_version":"1.0","event_id":"sha256:306b077d439dc5b10ad68b50f874ff02374d9ac5eefb345f8a8a2f4875881c88"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3FDDHZMKPVY2SL7AEBHETYPQNQ/bundle.json","state_url":"https://pith.science/pith/3FDDHZMKPVY2SL7AEBHETYPQNQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3FDDHZMKPVY2SL7AEBHETYPQNQ/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":"2026-07-29T03:10:20Z","links":{"resolver":"https://pith.science/pith/3FDDHZMKPVY2SL7AEBHETYPQNQ","bundle":"https://pith.science/pith/3FDDHZMKPVY2SL7AEBHETYPQNQ/bundle.json","state":"https://pith.science/pith/3FDDHZMKPVY2SL7AEBHETYPQNQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3FDDHZMKPVY2SL7AEBHETYPQNQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:3FDDHZMKPVY2SL7AEBHETYPQNQ","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":"231cc6c9560ac2109388c49b7575fbb82f523d4967b700d140a48acdfe70da08","cross_cats_sorted":["gr-qc","math.AG","math.AP"],"license":"","primary_cat":"math.DG","submitted_at":"2007-05-07T14:29:01Z","title_canon_sha256":"fcba523ce3c4ccc756a2fac63e4a199873d3661d1e0f8db798456bdd9ff76a00"},"schema_version":"1.0","source":{"id":"0705.0710","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0705.0710","created_at":"2026-07-04T15:02:09Z"},{"alias_kind":"arxiv_version","alias_value":"0705.0710v2","created_at":"2026-07-04T15:02:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0705.0710","created_at":"2026-07-04T15:02:09Z"},{"alias_kind":"pith_short_12","alias_value":"3FDDHZMKPVY2","created_at":"2026-07-04T15:02:09Z"},{"alias_kind":"pith_short_16","alias_value":"3FDDHZMKPVY2SL7A","created_at":"2026-07-04T15:02:09Z"},{"alias_kind":"pith_short_8","alias_value":"3FDDHZMK","created_at":"2026-07-04T15:02:09Z"}],"graph_snapshots":[{"event_id":"sha256:306b077d439dc5b10ad68b50f874ff02374d9ac5eefb345f8a8a2f4875881c88","target":"graph","created_at":"2026-07-04T15:02:09Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0705.0710/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that any compact complex surface with positive first Chern class admits an Einstein metric which is conformally related to a Kaehler metric. The key new ingredient is the existence of such a metric on the blow-up of the complex projective plane at two distinct points.","authors_text":"Brian Weber, Claude LeBrun, Xiuxiong Chen","cross_cats":["gr-qc","math.AG","math.AP"],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"2007-05-07T14:29:01Z","title":"On Conformally Kaehler, Einstein Manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0705.0710","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":"sha256:9af6c9bd764d9390e03e25036956519e366b3e0e00e5afde7191062b192b2aab","target":"record","created_at":"2026-07-04T15:02:09Z","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":"231cc6c9560ac2109388c49b7575fbb82f523d4967b700d140a48acdfe70da08","cross_cats_sorted":["gr-qc","math.AG","math.AP"],"license":"","primary_cat":"math.DG","submitted_at":"2007-05-07T14:29:01Z","title_canon_sha256":"fcba523ce3c4ccc756a2fac63e4a199873d3661d1e0f8db798456bdd9ff76a00"},"schema_version":"1.0","source":{"id":"0705.0710","kind":"arxiv","version":2}},"canonical_sha256":"d94633e58a7d71a92fe0204e49e1f06c3123c37e94d2a023c408ac9c1eb94068","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d94633e58a7d71a92fe0204e49e1f06c3123c37e94d2a023c408ac9c1eb94068","first_computed_at":"2026-07-04T15:02:09.743223Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:02:09.743223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6PjCfYJkbWf9TcHCF5rFJpKKHKBpTIoIQcLDhRK45RcRkxAZhBMKus+5qysmSTEcUqi8V02h7yC7Dc+NMvZZBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:02:09.743715Z","signed_message":"canonical_sha256_bytes"},"source_id":"0705.0710","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9af6c9bd764d9390e03e25036956519e366b3e0e00e5afde7191062b192b2aab","sha256:306b077d439dc5b10ad68b50f874ff02374d9ac5eefb345f8a8a2f4875881c88"],"state_sha256":"40f1679b53a1c81015fb3e978027c78de7d3be89d553faa02fa4d8ba2a8339d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7GWT+DhyP/nu3FWtwWYjR4mvpNZWyQ+Gx2D7V+nlb5p9cEojsPV+eYyGN50hsOMnGolkyVM4/FVJRXMYB2wsAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-29T03:10:20.149091Z","bundle_sha256":"b0db4f66a202ce91e64fd0aa219e15395b1469c72d018ce7c1529ea1444b6e16"}}