{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QLF2VPRAHU56IFAPTCGMFC7GA4","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":"acc2b6468c35c8f1b4f7896d7e3329b50eeca1232a6aa769d69a17eb77ff338b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-05-27T17:51:54Z","title_canon_sha256":"14a90baa549d3e855a2d3742fc89dc9f556f921057e4391ce94a6e31ae3ce5e7"},"schema_version":"1.0","source":{"id":"1005.5133","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.5133","created_at":"2026-05-18T02:07:07Z"},{"alias_kind":"arxiv_version","alias_value":"1005.5133v3","created_at":"2026-05-18T02:07:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.5133","created_at":"2026-05-18T02:07:07Z"},{"alias_kind":"pith_short_12","alias_value":"QLF2VPRAHU56","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"QLF2VPRAHU56IFAP","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"QLF2VPRA","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:be1365bdb40e55b379df84706e3e7c9c27b269be8ce6ce89dda6986b4a27be20","target":"graph","created_at":"2026-05-18T02:07:07Z","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 give a simple and uniform construction of essentially all known deformation classes of gravitational instantons with ALF, ALG or ALH asymptotics and nonzero injectivity radius. We also construct new ALH Ricci flat metrics asymptotic to the product of a real line with a flat 3-manifold.","authors_text":"Olivier Biquard, Vincent Minerbe","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-05-27T17:51:54Z","title":"A Kummer construction for gravitational instantons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.5133","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:b60ba037ad2d373409d284029d7adaa00a942316d712197e601c46ae85d3e55b","target":"record","created_at":"2026-05-18T02:07:07Z","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":"acc2b6468c35c8f1b4f7896d7e3329b50eeca1232a6aa769d69a17eb77ff338b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-05-27T17:51:54Z","title_canon_sha256":"14a90baa549d3e855a2d3742fc89dc9f556f921057e4391ce94a6e31ae3ce5e7"},"schema_version":"1.0","source":{"id":"1005.5133","kind":"arxiv","version":3}},"canonical_sha256":"82cbaabe203d3be4140f988cc28be60726cf4cf0a19e27472c459786590b814d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82cbaabe203d3be4140f988cc28be60726cf4cf0a19e27472c459786590b814d","first_computed_at":"2026-05-18T02:07:07.127445Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:07:07.127445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZKc5uvev86T3fZbsTQcYVnWko6L8/60PvX2natrvxSPTU4qDUGceSzL6GMxtEvaRlcWp1oq7WIU6Ub06Z+HwCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:07:07.127940Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.5133","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b60ba037ad2d373409d284029d7adaa00a942316d712197e601c46ae85d3e55b","sha256:be1365bdb40e55b379df84706e3e7c9c27b269be8ce6ce89dda6986b4a27be20"],"state_sha256":"7d7aa402942f71f0ba3dca4e0626ae20b43b9956cb1cfd2ae9217dc2c57acc4b"}