{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:N5WNBNKM34HLYYQWYJPG6SIHFS","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":"5ee0b16c21fc99d535db5bfe81544662e4b1868ab501321bc474a96efffc058f","cross_cats_sorted":["gr-qc","math.DG"],"license":"","primary_cat":"hep-th","submitted_at":"2005-06-15T20:18:05Z","title_canon_sha256":"46e564a25b08ce7719313377e5c4b9f63c952246336229af8477cf6cefbe329f"},"schema_version":"1.0","source":{"id":"hep-th/0506129","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0506129","created_at":"2026-07-04T16:56:13Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0506129v2","created_at":"2026-07-04T16:56:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0506129","created_at":"2026-07-04T16:56:13Z"},{"alias_kind":"pith_short_12","alias_value":"N5WNBNKM34HL","created_at":"2026-07-04T16:56:13Z"},{"alias_kind":"pith_short_16","alias_value":"N5WNBNKM34HLYYQW","created_at":"2026-07-04T16:56:13Z"},{"alias_kind":"pith_short_8","alias_value":"N5WNBNKM","created_at":"2026-07-04T16:56:13Z"}],"graph_snapshots":[{"event_id":"sha256:aa1ab81ced5e01affb76edde00421882960909dc488656ccd4e99629a66d8c11","target":"graph","created_at":"2026-07-04T16:56:13Z","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/hep-th/0506129/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop numerical algorithms for solving the Einstein equation on Calabi-Yau manifolds at arbitrary values of their complex structure and Kahler parameters. We show that Kahler geometry can be exploited for significant gains in computational efficiency. As a proof of principle, we apply our methods to a one-parameter family of K3 surfaces constructed as blow-ups of the T^4/Z_2 orbifold with many discrete symmetries. High-resolution metrics may be obtained on a time scale of days using a desktop computer. We compute various geometric and spectral quantities from our numerical metrics. Using ","authors_text":"Matthew Headrick, Toby Wiseman","cross_cats":["gr-qc","math.DG"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-06-15T20:18:05Z","title":"Numerical Ricci-flat metrics on K3"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0506129","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":"sha256:9a53ea831ef7b45f5605c91057da0fb11967d2a38498506f57f837f4f4fde66e","target":"record","created_at":"2026-07-04T16:56:13Z","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":"5ee0b16c21fc99d535db5bfe81544662e4b1868ab501321bc474a96efffc058f","cross_cats_sorted":["gr-qc","math.DG"],"license":"","primary_cat":"hep-th","submitted_at":"2005-06-15T20:18:05Z","title_canon_sha256":"46e564a25b08ce7719313377e5c4b9f63c952246336229af8477cf6cefbe329f"},"schema_version":"1.0","source":{"id":"hep-th/0506129","kind":"arxiv","version":2}},"canonical_sha256":"6f6cd0b54cdf0ebc6216c25e6f49072c981fd4654d276d591caccd76681c1d75","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f6cd0b54cdf0ebc6216c25e6f49072c981fd4654d276d591caccd76681c1d75","first_computed_at":"2026-07-04T16:56:13.489573Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:56:13.489573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rLm6MYNXQm77YFVa40LsvPkoT/+aoO1iDZWLP7xXpEa6RLNJxnV4s0y4/IdFvcbQEZzOSn70NTJYxxDIzmWXAw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:56:13.489912Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0506129","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a53ea831ef7b45f5605c91057da0fb11967d2a38498506f57f837f4f4fde66e","sha256:aa1ab81ced5e01affb76edde00421882960909dc488656ccd4e99629a66d8c11"],"state_sha256":"ca736c6849bd79723f616eafca43feb6f2e718b0470f554800532a6151f7dcb8"}