{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:PAELCCQUQIG7CWSSFIZRJ76XWZ","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":"2027182fb24d9bf874a416c85b41d7b014af2f56ad716f98b35d79ecf6447dfd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-01-20T05:43:58Z","title_canon_sha256":"b4af34c8033c2e7095028066635892a250ada0f59dba8f9c9d499e566998d603"},"schema_version":"1.0","source":{"id":"1001.3461","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.3461","created_at":"2026-05-18T02:09:32Z"},{"alias_kind":"arxiv_version","alias_value":"1001.3461v3","created_at":"2026-05-18T02:09:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.3461","created_at":"2026-05-18T02:09:32Z"},{"alias_kind":"pith_short_12","alias_value":"PAELCCQUQIG7","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"PAELCCQUQIG7CWSS","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"PAELCCQU","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:64e2c63b87ff2f5bb8dd0c64e390fa454240f83eaa6876d214c52b804ad8ffd8","target":"graph","created_at":"2026-05-18T02:09:32Z","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 investigate various limits of the twistor spaces associated to the self-dual metrics on n CP ^2, the connected sum of the complex projective planes, constructed by C. LeBrun. In particular, we explicitly present the following 3 kinds of degenerations whose limits of the metrics are: (a) LeBrun metrics on (n-1) CP ^2$, (b) (Another) LeBrun metrics on the total space of the line bundle O(-n) over CP ^1 (c) The hyper-Kaehler metrics on the small resolution of rational double points of type A_{n-1}, constructed by Gibbons and Hawking.","authors_text":"Nobuhiro Honda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-01-20T05:43:58Z","title":"Degenerations of LeBrun twistor spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.3461","kind":"arxiv","version":3},"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:b9c1c6ad2c07a5d8dbaa1d61a72037d8e05716f46e971cced73ce7dbbd697418","target":"record","created_at":"2026-05-18T02:09:32Z","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":"2027182fb24d9bf874a416c85b41d7b014af2f56ad716f98b35d79ecf6447dfd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-01-20T05:43:58Z","title_canon_sha256":"b4af34c8033c2e7095028066635892a250ada0f59dba8f9c9d499e566998d603"},"schema_version":"1.0","source":{"id":"1001.3461","kind":"arxiv","version":3}},"canonical_sha256":"7808b10a14820df15a522a3314ffd7b65325af82b6517ffcb9d46484539e8d6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7808b10a14820df15a522a3314ffd7b65325af82b6517ffcb9d46484539e8d6a","first_computed_at":"2026-05-18T02:09:32.208448Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:09:32.208448Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cGJTAUvpW1K+pLaGzzQgUWtCRqsD50oM1sxk/cUV4FxQ7g0ZVeR63YMKD8fff5a+i2kzqgDWJepkMeCURrUjAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:09:32.209289Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.3461","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9c1c6ad2c07a5d8dbaa1d61a72037d8e05716f46e971cced73ce7dbbd697418","sha256:64e2c63b87ff2f5bb8dd0c64e390fa454240f83eaa6876d214c52b804ad8ffd8"],"state_sha256":"b2427976274966da79be577440a6cca27c2a40dd7007ab4d8212440beb7a9acc"}