{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:YGJVBKEP4WVHZDZ5CLISXYE62J","short_pith_number":"pith:YGJVBKEP","canonical_record":{"source":{"id":"1307.2816","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-10T15:00:56Z","cross_cats_sorted":["gr-qc","math.DG"],"title_canon_sha256":"2ca1672d90f9441db64c4533ffb5f5b806316e37add7016dff36a2089cd70d9d","abstract_canon_sha256":"ceddd35cf6cd0e4d7a6ff06e7460da0564d5a2535491483cc16c4cc70cd9d17f"},"schema_version":"1.0"},"canonical_sha256":"c19350a88fe5aa7c8f3d12d12be09ed26d0054b32db6d70fae925b8a82abd0fe","source":{"kind":"arxiv","id":"1307.2816","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.2816","created_at":"2026-05-18T03:18:50Z"},{"alias_kind":"arxiv_version","alias_value":"1307.2816v1","created_at":"2026-05-18T03:18:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.2816","created_at":"2026-05-18T03:18:50Z"},{"alias_kind":"pith_short_12","alias_value":"YGJVBKEP4WVH","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YGJVBKEP4WVHZDZ5","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YGJVBKEP","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:YGJVBKEP4WVHZDZ5CLISXYE62J","target":"record","payload":{"canonical_record":{"source":{"id":"1307.2816","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-10T15:00:56Z","cross_cats_sorted":["gr-qc","math.DG"],"title_canon_sha256":"2ca1672d90f9441db64c4533ffb5f5b806316e37add7016dff36a2089cd70d9d","abstract_canon_sha256":"ceddd35cf6cd0e4d7a6ff06e7460da0564d5a2535491483cc16c4cc70cd9d17f"},"schema_version":"1.0"},"canonical_sha256":"c19350a88fe5aa7c8f3d12d12be09ed26d0054b32db6d70fae925b8a82abd0fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:50.354294Z","signature_b64":"ax11zgeB3MB1xH5gAEsZ0Vm7BJGJLD3jgGNXkoFuAPbcqjGonNKB8A7/1PDNICTPjsfbA7IfX8WrjDzxdxEsDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c19350a88fe5aa7c8f3d12d12be09ed26d0054b32db6d70fae925b8a82abd0fe","last_reissued_at":"2026-05-18T03:18:50.353476Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:50.353476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.2816","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":"2026-05-18T03:18:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d3LhIiytJNs6RHhWAYsPgFlnN7ump+ON3peAzKQ0dvAGvoZYc9EIhLNI0BU4B9gPvNMLOJDNyoqDKH8knrtAAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T07:59:00.289623Z"},"content_sha256":"b72b9ffc4efee68ea86a5e7db44a68e85fa618d1dc184fba193308d35b65ebdc","schema_version":"1.0","event_id":"sha256:b72b9ffc4efee68ea86a5e7db44a68e85fa618d1dc184fba193308d35b65ebdc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:YGJVBKEP4WVHZDZ5CLISXYE62J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The K\\\"ahler metric of a blow-up","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math.DG"],"primary_cat":"hep-th","authors_text":"Dmitri Bykov","submitted_at":"2013-07-10T15:00:56Z","abstract_excerpt":"After a review of the general properties of holomorphic spheres in complex surfaces we describe the local geometry in the vicinity of a CP^1 embedded with a negative normal bundle. As a by-product, we build (asymptotically locally hyperbolic) Kahler-Einstein metrics on the total spaces of the line bundles O(-m), m >= 3 over CP^1. We check that the behavior of the Kahler potential is compatible with the Chern-Weil formulas for the Euler characteristic and signature. We also describe two supersymmetric setups where relevant constructions arise."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.2816","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":"2026-05-18T03:18:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CBE2BOfaQmV2N/9VA/nSxne4r8PyFkIsHrRI6pA8hyHRLVx1uLE6IqLVdRI47ylok3I0GDWSctUJq1neU7CYAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T07:59:00.290065Z"},"content_sha256":"f077d189a3b5c8a003a40aaf5a648f3c8a56e4affa1a1120ea45f4de22644f81","schema_version":"1.0","event_id":"sha256:f077d189a3b5c8a003a40aaf5a648f3c8a56e4affa1a1120ea45f4de22644f81"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YGJVBKEP4WVHZDZ5CLISXYE62J/bundle.json","state_url":"https://pith.science/pith/YGJVBKEP4WVHZDZ5CLISXYE62J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YGJVBKEP4WVHZDZ5CLISXYE62J/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":"2026-06-12T07:59:00Z","links":{"resolver":"https://pith.science/pith/YGJVBKEP4WVHZDZ5CLISXYE62J","bundle":"https://pith.science/pith/YGJVBKEP4WVHZDZ5CLISXYE62J/bundle.json","state":"https://pith.science/pith/YGJVBKEP4WVHZDZ5CLISXYE62J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YGJVBKEP4WVHZDZ5CLISXYE62J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YGJVBKEP4WVHZDZ5CLISXYE62J","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":"ceddd35cf6cd0e4d7a6ff06e7460da0564d5a2535491483cc16c4cc70cd9d17f","cross_cats_sorted":["gr-qc","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-10T15:00:56Z","title_canon_sha256":"2ca1672d90f9441db64c4533ffb5f5b806316e37add7016dff36a2089cd70d9d"},"schema_version":"1.0","source":{"id":"1307.2816","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.2816","created_at":"2026-05-18T03:18:50Z"},{"alias_kind":"arxiv_version","alias_value":"1307.2816v1","created_at":"2026-05-18T03:18:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.2816","created_at":"2026-05-18T03:18:50Z"},{"alias_kind":"pith_short_12","alias_value":"YGJVBKEP4WVH","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YGJVBKEP4WVHZDZ5","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YGJVBKEP","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:f077d189a3b5c8a003a40aaf5a648f3c8a56e4affa1a1120ea45f4de22644f81","target":"graph","created_at":"2026-05-18T03:18:50Z","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":"After a review of the general properties of holomorphic spheres in complex surfaces we describe the local geometry in the vicinity of a CP^1 embedded with a negative normal bundle. As a by-product, we build (asymptotically locally hyperbolic) Kahler-Einstein metrics on the total spaces of the line bundles O(-m), m >= 3 over CP^1. We check that the behavior of the Kahler potential is compatible with the Chern-Weil formulas for the Euler characteristic and signature. We also describe two supersymmetric setups where relevant constructions arise.","authors_text":"Dmitri Bykov","cross_cats":["gr-qc","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-10T15:00:56Z","title":"The K\\\"ahler metric of a blow-up"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.2816","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:b72b9ffc4efee68ea86a5e7db44a68e85fa618d1dc184fba193308d35b65ebdc","target":"record","created_at":"2026-05-18T03:18:50Z","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":"ceddd35cf6cd0e4d7a6ff06e7460da0564d5a2535491483cc16c4cc70cd9d17f","cross_cats_sorted":["gr-qc","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-10T15:00:56Z","title_canon_sha256":"2ca1672d90f9441db64c4533ffb5f5b806316e37add7016dff36a2089cd70d9d"},"schema_version":"1.0","source":{"id":"1307.2816","kind":"arxiv","version":1}},"canonical_sha256":"c19350a88fe5aa7c8f3d12d12be09ed26d0054b32db6d70fae925b8a82abd0fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c19350a88fe5aa7c8f3d12d12be09ed26d0054b32db6d70fae925b8a82abd0fe","first_computed_at":"2026-05-18T03:18:50.353476Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:50.353476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ax11zgeB3MB1xH5gAEsZ0Vm7BJGJLD3jgGNXkoFuAPbcqjGonNKB8A7/1PDNICTPjsfbA7IfX8WrjDzxdxEsDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:50.354294Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.2816","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b72b9ffc4efee68ea86a5e7db44a68e85fa618d1dc184fba193308d35b65ebdc","sha256:f077d189a3b5c8a003a40aaf5a648f3c8a56e4affa1a1120ea45f4de22644f81"],"state_sha256":"3db5767f8a3d5a86550482c781041f6668d99ef4d6e828120dd6dbbe652f24b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CQcC3m9JkuTTYoBTvn+SAp9tgObihOexNaWc95RV/6X4CWdjhwO0aa2Chnclwrs7JiQGwPe0n/nU2yQdRyL2Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T07:59:00.292261Z","bundle_sha256":"fe66030258acf50a3584d15c84af9fc04b667598f75376091e42c8e62eddb5cc"}}