{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:N5WNBNKM34HLYYQWYJPG6SIHFS","short_pith_number":"pith:N5WNBNKM","schema_version":"1.0","canonical_sha256":"6f6cd0b54cdf0ebc6216c25e6f49072c981fd4654d276d591caccd76681c1d75","source":{"kind":"arxiv","id":"hep-th/0506129","version":2},"attestation_state":"computed","paper":{"title":"Numerical Ricci-flat metrics on K3","license":"","headline":"","cross_cats":["gr-qc","math.DG"],"primary_cat":"hep-th","authors_text":"Matthew Headrick, Toby Wiseman","submitted_at":"2005-06-15T20:18:05Z","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 "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/0506129","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-06-15T20:18:05Z","cross_cats_sorted":["gr-qc","math.DG"],"title_canon_sha256":"46e564a25b08ce7719313377e5c4b9f63c952246336229af8477cf6cefbe329f","abstract_canon_sha256":"5ee0b16c21fc99d535db5bfe81544662e4b1868ab501321bc474a96efffc058f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:56:13.489912Z","signature_b64":"rLm6MYNXQm77YFVa40LsvPkoT/+aoO1iDZWLP7xXpEa6RLNJxnV4s0y4/IdFvcbQEZzOSn70NTJYxxDIzmWXAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f6cd0b54cdf0ebc6216c25e6f49072c981fd4654d276d591caccd76681c1d75","last_reissued_at":"2026-07-04T16:56:13.489573Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:56:13.489573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Numerical Ricci-flat metrics on K3","license":"","headline":"","cross_cats":["gr-qc","math.DG"],"primary_cat":"hep-th","authors_text":"Matthew Headrick, Toby Wiseman","submitted_at":"2005-06-15T20:18:05Z","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 "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0506129","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/hep-th/0506129/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0506129","created_at":"2026-07-04T16:56:13.489636+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0506129v2","created_at":"2026-07-04T16:56:13.489636+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0506129","created_at":"2026-07-04T16:56:13.489636+00:00"},{"alias_kind":"pith_short_12","alias_value":"N5WNBNKM34HL","created_at":"2026-07-04T16:56:13.489636+00:00"},{"alias_kind":"pith_short_16","alias_value":"N5WNBNKM34HLYYQW","created_at":"2026-07-04T16:56:13.489636+00:00"},{"alias_kind":"pith_short_8","alias_value":"N5WNBNKM","created_at":"2026-07-04T16:56:13.489636+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.23900","citing_title":"What to do with a Ricci-flat Calabi--Yau metric?","ref_index":3,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/N5WNBNKM34HLYYQWYJPG6SIHFS","json":"https://pith.science/pith/N5WNBNKM34HLYYQWYJPG6SIHFS.json","graph_json":"https://pith.science/api/pith-number/N5WNBNKM34HLYYQWYJPG6SIHFS/graph.json","events_json":"https://pith.science/api/pith-number/N5WNBNKM34HLYYQWYJPG6SIHFS/events.json","paper":"https://pith.science/paper/N5WNBNKM"},"agent_actions":{"view_html":"https://pith.science/pith/N5WNBNKM34HLYYQWYJPG6SIHFS","download_json":"https://pith.science/pith/N5WNBNKM34HLYYQWYJPG6SIHFS.json","view_paper":"https://pith.science/paper/N5WNBNKM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0506129&json=true","fetch_graph":"https://pith.science/api/pith-number/N5WNBNKM34HLYYQWYJPG6SIHFS/graph.json","fetch_events":"https://pith.science/api/pith-number/N5WNBNKM34HLYYQWYJPG6SIHFS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N5WNBNKM34HLYYQWYJPG6SIHFS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N5WNBNKM34HLYYQWYJPG6SIHFS/action/storage_attestation","attest_author":"https://pith.science/pith/N5WNBNKM34HLYYQWYJPG6SIHFS/action/author_attestation","sign_citation":"https://pith.science/pith/N5WNBNKM34HLYYQWYJPG6SIHFS/action/citation_signature","submit_replication":"https://pith.science/pith/N5WNBNKM34HLYYQWYJPG6SIHFS/action/replication_record"}},"created_at":"2026-07-04T16:56:13.489636+00:00","updated_at":"2026-07-04T16:56:13.489636+00:00"}