{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UMNMX3WZT75RBWDF2OOVZF4SNY","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":"fb2993dcfd467ae21d492e526898f47aa9142cfe683447abb04dbe361ff0dc58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-06-05T12:51:15Z","title_canon_sha256":"9ee0798d9b318e632199e98e4615fb05e571e20c65d82018b8cded99f998ad2b"},"schema_version":"1.0","source":{"id":"1206.0912","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.0912","created_at":"2026-05-18T03:54:15Z"},{"alias_kind":"arxiv_version","alias_value":"1206.0912v1","created_at":"2026-05-18T03:54:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0912","created_at":"2026-05-18T03:54:15Z"},{"alias_kind":"pith_short_12","alias_value":"UMNMX3WZT75R","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UMNMX3WZT75RBWDF","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UMNMX3WZ","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:46d723e441b006e59b82fd1edf0f4c0b44d4ce31435221e0a65bddaa07801402","target":"graph","created_at":"2026-05-18T03:54:15Z","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 use Pacard-Xu's methods to discuss the complex deformation of constant scalar curvature metrics in the case of fixed and varying complex structures. Moreover, we also discuss the complex deformation of K\\\"ahler Ricci solitons.","authors_text":"Haozhao Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-06-05T12:51:15Z","title":"Complex deformation of critical K\\\"ahler metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0912","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":"sha256:50a54c638ef357434d37cac4dde1532d31c82c589aa2fea3c91f5ed9444b9f23","target":"record","created_at":"2026-05-18T03:54:15Z","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":"fb2993dcfd467ae21d492e526898f47aa9142cfe683447abb04dbe361ff0dc58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-06-05T12:51:15Z","title_canon_sha256":"9ee0798d9b318e632199e98e4615fb05e571e20c65d82018b8cded99f998ad2b"},"schema_version":"1.0","source":{"id":"1206.0912","kind":"arxiv","version":1}},"canonical_sha256":"a31acbeed99ffb10d865d39d5c97926e2dded5d1328ec351eb880b1abbb9b6e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a31acbeed99ffb10d865d39d5c97926e2dded5d1328ec351eb880b1abbb9b6e8","first_computed_at":"2026-05-18T03:54:15.702747Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:15.702747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4YppkqqtfM4EmBswSrqOCkVZ0Iu+cwFFBM81fBqNvfpHHcUHZx/KTK8eTrQSEf4C30kqsD9zo31L1ScSLeCuAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:15.703197Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.0912","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50a54c638ef357434d37cac4dde1532d31c82c589aa2fea3c91f5ed9444b9f23","sha256:46d723e441b006e59b82fd1edf0f4c0b44d4ce31435221e0a65bddaa07801402"],"state_sha256":"95808e224afed957913bd745766ad67a8c78e6be71d414df6f7dc1884c200870"}