{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:543GMH7A7ELWIGWFZRCRFNO3NT","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":"3b10822a173a173d3a58527098ee0e5963c1d2f84bfffe570d517aae4f194450","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-10-05T04:17:05Z","title_canon_sha256":"c2819a8fb3a54c3f33c2d3f918865406c6fd1e3b8207dd827d0586c6da0f6661"},"schema_version":"1.0","source":{"id":"0910.0672","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.0672","created_at":"2026-05-18T04:40:10Z"},{"alias_kind":"arxiv_version","alias_value":"0910.0672v2","created_at":"2026-05-18T04:40:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.0672","created_at":"2026-05-18T04:40:10Z"},{"alias_kind":"pith_short_12","alias_value":"543GMH7A7ELW","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"543GMH7A7ELWIGWF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"543GMH7A","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:d2c11973e9d3badd6615cdf334ec6535ddb933642857817299b2f399d8416a9b","target":"graph","created_at":"2026-05-18T04:40:10Z","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 show that a complete simply-connected hyperkaehler 4-manifold with an isometric triholomorphic circle action is obtained from the Gibbons-Hawking ansatz with some suitable harmonic function.","authors_text":"Justin Sawon, Mustafa Kalafat","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-10-05T04:17:05Z","title":"Hyperk\\\"ahler manifolds with circle actions and the Gibbons-Hawking Ansatz"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.0672","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":"sha256:613469357a18bc880963028333e3ed1fbe7e5fca370317da067046d5c4d510e7","target":"record","created_at":"2026-05-18T04:40:10Z","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":"3b10822a173a173d3a58527098ee0e5963c1d2f84bfffe570d517aae4f194450","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-10-05T04:17:05Z","title_canon_sha256":"c2819a8fb3a54c3f33c2d3f918865406c6fd1e3b8207dd827d0586c6da0f6661"},"schema_version":"1.0","source":{"id":"0910.0672","kind":"arxiv","version":2}},"canonical_sha256":"ef36661fe0f917641ac5cc4512b5db6ccee3c6b73b6da5f54d000b20b31e7f59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef36661fe0f917641ac5cc4512b5db6ccee3c6b73b6da5f54d000b20b31e7f59","first_computed_at":"2026-05-18T04:40:10.513859Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:10.513859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XsxCoPe4q8pIu8M1R79fiYmJaeomxA4LsaIl/9xeOV/LLKqaKMbX1s+9w9bqAooSF4MLajzbA4KCAR/4ysHNDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:10.514470Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.0672","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:613469357a18bc880963028333e3ed1fbe7e5fca370317da067046d5c4d510e7","sha256:d2c11973e9d3badd6615cdf334ec6535ddb933642857817299b2f399d8416a9b"],"state_sha256":"3ce07f6687b4115ed48fb34e183b3bb079fb59867ce8b0c36ef4ef0975a9b754"}