{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7ILWMUHQAZQJTUJQSE5LC5FZD5","short_pith_number":"pith:7ILWMUHQ","schema_version":"1.0","canonical_sha256":"fa176650f0066099d130913ab174b91f7786a1298489e4aaeca4f2c558762be3","source":{"kind":"arxiv","id":"1405.0056","version":3},"attestation_state":"computed","paper":{"title":"Gluing Eguchi-Hanson metrics and a question of Page","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"N. Kapouleas, S. Brendle","submitted_at":"2014-04-30T23:29:56Z","abstract_excerpt":"In 1978, Gibbons-Pope and Page proposed a physical picture for the Ricci flat K\\\"ahler metrics on the K3 surface based on a gluing construction. In this construction, one starts from a flat torus with $16$ orbifold points, and resolves the orbifold singularities by gluing in $16$ small Eguchi-Hanson manifolds which all have the same orientation. This construction was carried out rigorously by Topiwala, LeBrun-Singer, and Donaldson.\n  In 1981, Page asked whether the above construction can be modified by reversing the orientations of some of the Eguchi-Hanson manifolds. This is a subtle question"},"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":"1405.0056","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-30T23:29:56Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"2b7990aedf1c5f7d424a2445aafd12e985004ed410f4d904bf0dfd96bd749d2c","abstract_canon_sha256":"527d3ea145f9cb12b982eb0d6d05fd381f9645300c0a29b6d5819b5c19ed9105"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:36.500222Z","signature_b64":"xXbbI+ofvD2df7TbcvSd/MeNv+EQtxI+e+Dy4VynKb5Ug56bzQ6A0uDwoNiIsWs9JuHUiHVsv2Q4Reuk5suUCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa176650f0066099d130913ab174b91f7786a1298489e4aaeca4f2c558762be3","last_reissued_at":"2026-05-18T01:15:36.499539Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:36.499539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gluing Eguchi-Hanson metrics and a question of Page","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"N. Kapouleas, S. Brendle","submitted_at":"2014-04-30T23:29:56Z","abstract_excerpt":"In 1978, Gibbons-Pope and Page proposed a physical picture for the Ricci flat K\\\"ahler metrics on the K3 surface based on a gluing construction. In this construction, one starts from a flat torus with $16$ orbifold points, and resolves the orbifold singularities by gluing in $16$ small Eguchi-Hanson manifolds which all have the same orientation. This construction was carried out rigorously by Topiwala, LeBrun-Singer, and Donaldson.\n  In 1981, Page asked whether the above construction can be modified by reversing the orientations of some of the Eguchi-Hanson manifolds. This is a subtle question"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0056","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1405.0056","created_at":"2026-05-18T01:15:36.499627+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.0056v3","created_at":"2026-05-18T01:15:36.499627+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0056","created_at":"2026-05-18T01:15:36.499627+00:00"},{"alias_kind":"pith_short_12","alias_value":"7ILWMUHQAZQJ","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"7ILWMUHQAZQJTUJQ","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"7ILWMUHQ","created_at":"2026-05-18T12:28:19.803747+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7ILWMUHQAZQJTUJQSE5LC5FZD5","json":"https://pith.science/pith/7ILWMUHQAZQJTUJQSE5LC5FZD5.json","graph_json":"https://pith.science/api/pith-number/7ILWMUHQAZQJTUJQSE5LC5FZD5/graph.json","events_json":"https://pith.science/api/pith-number/7ILWMUHQAZQJTUJQSE5LC5FZD5/events.json","paper":"https://pith.science/paper/7ILWMUHQ"},"agent_actions":{"view_html":"https://pith.science/pith/7ILWMUHQAZQJTUJQSE5LC5FZD5","download_json":"https://pith.science/pith/7ILWMUHQAZQJTUJQSE5LC5FZD5.json","view_paper":"https://pith.science/paper/7ILWMUHQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.0056&json=true","fetch_graph":"https://pith.science/api/pith-number/7ILWMUHQAZQJTUJQSE5LC5FZD5/graph.json","fetch_events":"https://pith.science/api/pith-number/7ILWMUHQAZQJTUJQSE5LC5FZD5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7ILWMUHQAZQJTUJQSE5LC5FZD5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7ILWMUHQAZQJTUJQSE5LC5FZD5/action/storage_attestation","attest_author":"https://pith.science/pith/7ILWMUHQAZQJTUJQSE5LC5FZD5/action/author_attestation","sign_citation":"https://pith.science/pith/7ILWMUHQAZQJTUJQSE5LC5FZD5/action/citation_signature","submit_replication":"https://pith.science/pith/7ILWMUHQAZQJTUJQSE5LC5FZD5/action/replication_record"}},"created_at":"2026-05-18T01:15:36.499627+00:00","updated_at":"2026-05-18T01:15:36.499627+00:00"}