{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:KHCL3CR4ELNWCAMYO4SA6XSSUR","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":"e33de49daddb32c0e3cdc8b4bc96b556061dcf74fb2d535894285b4681cf74d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2025-01-03T07:35:57Z","title_canon_sha256":"b2cee08801a8b3f425fc6d5c1e275f5b6627bd7b887ced87cdf39e37ff527210"},"schema_version":"1.0","source":{"id":"2501.01675","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.01675","created_at":"2026-07-05T09:56:28Z"},{"alias_kind":"arxiv_version","alias_value":"2501.01675v1","created_at":"2026-07-05T09:56:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.01675","created_at":"2026-07-05T09:56:28Z"},{"alias_kind":"pith_short_12","alias_value":"KHCL3CR4ELNW","created_at":"2026-07-05T09:56:28Z"},{"alias_kind":"pith_short_16","alias_value":"KHCL3CR4ELNWCAMY","created_at":"2026-07-05T09:56:28Z"},{"alias_kind":"pith_short_8","alias_value":"KHCL3CR4","created_at":"2026-07-05T09:56:28Z"}],"graph_snapshots":[{"event_id":"sha256:023179871034237a24ca9c4e6016b5b8a7387066c16813ab6d077e9eb5898ab7","target":"graph","created_at":"2026-07-05T09:56:28Z","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/2501.01675/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct model hyper-K\\\"ahler geometries that include and generalize the multi-Ooguri-Vafa model using the formalism of Gaitto, Moore, and Neitzke.\n  This is the first paper in a series of papers making rigorous Gaiotto--Moore--Neitzke's formalism for constructing hyper-K\\\"ahler metrics near semi-flat limits. In that context, this paper describes the assumptions we will make on a sequence of lattices $0 \\to \\Gamma_{f} \\to \\widehat{\\Gamma} \\to \\Gamma \\to 0$ over a complex manifold $\\mathcal{B}'=\\mathcal{B} - \\mathcal{B}''$ near the singular locus, $\\mathcal{B}''$, in order to define a smoot","authors_text":"Laura Fredrickson, Max Zimet","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2025-01-03T07:35:57Z","title":"Hyper-K\\\"ahler manifolds from Riemann-Hilbert problems I: Ooguri-Vafa-like model geometries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.01675","kind":"arxiv","version":1},"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:ca3aa07a5883d6276aaac32205ad874e30be4a41323d63e1197f4d0b0516e8d7","target":"record","created_at":"2026-07-05T09:56:28Z","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":"e33de49daddb32c0e3cdc8b4bc96b556061dcf74fb2d535894285b4681cf74d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2025-01-03T07:35:57Z","title_canon_sha256":"b2cee08801a8b3f425fc6d5c1e275f5b6627bd7b887ced87cdf39e37ff527210"},"schema_version":"1.0","source":{"id":"2501.01675","kind":"arxiv","version":1}},"canonical_sha256":"51c4bd8a3c22db61019877240f5e52a44a7323d4aa2f99dc766899c12ea3577a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51c4bd8a3c22db61019877240f5e52a44a7323d4aa2f99dc766899c12ea3577a","first_computed_at":"2026-07-05T09:56:28.656562Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:56:28.656562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+y4GFivVpmMM/QHpFLEGPwb1SwZG++ziKjAeNP2rsxAMcBSu6yoUoVNauRDvnTD/Qvc/8dSRbIdkzGoyJAcJAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:56:28.656980Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.01675","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca3aa07a5883d6276aaac32205ad874e30be4a41323d63e1197f4d0b0516e8d7","sha256:023179871034237a24ca9c4e6016b5b8a7387066c16813ab6d077e9eb5898ab7"],"state_sha256":"75f96dd00d5e1bae018eea92e4a5ba06855f601ea5fe9f455f871b8141987db7"}