{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:7GJFBMHWMPF2BPFVGKNT2MG67V","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":"fa00419c06f2ed93a15717e7883f661b5c1569d3a00752605ec93020e0682ca3","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-10-17T00:23:40Z","title_canon_sha256":"6f81edb78c6e3b5652ddca24469672bd81bedd68470ac5610f0d7cc947fb0867"},"schema_version":"1.0","source":{"id":"1010.3388","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.3388","created_at":"2026-05-18T04:23:45Z"},{"alias_kind":"arxiv_version","alias_value":"1010.3388v2","created_at":"2026-05-18T04:23:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3388","created_at":"2026-05-18T04:23:45Z"},{"alias_kind":"pith_short_12","alias_value":"7GJFBMHWMPF2","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"7GJFBMHWMPF2BPFV","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"7GJFBMHW","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:40b48cdd0f109d75e7a3aa7c252f235d36ea49626b5590d59f649f79987880cc","target":"graph","created_at":"2026-05-18T04:23:45Z","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 study two instanton correction problems of Hitchin's moduli spaces along with their wall crossing formulas. The hyperkahler metric of a Hitchin's moduli space can be put into an instanton-corrected form according to physicists Gaiotto, Moore and Neitzke. The problem boils down to the construction of a set of special coordinates which can be constructed as Fock-Goncharov coordinates associated with foliations of quadratic differentials on a Riemann surface. A wall crossing formula of Kontsevich and Soibelman arises both as a crucial consistency condition and an effective computational tool. ","authors_text":"Wenxuan Lu","cross_cats":["math-ph","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-10-17T00:23:40Z","title":"Instanton Correction, Wall Crossing And Mirror Symmetry Of Hitchin's Moduli Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3388","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:c423723f7f3160e567016c6cb1d5591eef8914282262a91961049e42ac04cf40","target":"record","created_at":"2026-05-18T04:23:45Z","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":"fa00419c06f2ed93a15717e7883f661b5c1569d3a00752605ec93020e0682ca3","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-10-17T00:23:40Z","title_canon_sha256":"6f81edb78c6e3b5652ddca24469672bd81bedd68470ac5610f0d7cc947fb0867"},"schema_version":"1.0","source":{"id":"1010.3388","kind":"arxiv","version":2}},"canonical_sha256":"f99250b0f663cba0bcb5329b3d30defd5c257ae3aab97c2ccea861b88d28061a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f99250b0f663cba0bcb5329b3d30defd5c257ae3aab97c2ccea861b88d28061a","first_computed_at":"2026-05-18T04:23:45.969242Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:45.969242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dTaiz/k+84VCUYFiD0UT4bN4mP7k3IZt+xBiRRZsB9ZO3s2GaAstSwNJJ9AqyHimkDGENFlYs1wNiOLVJVm9Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:45.969883Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.3388","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c423723f7f3160e567016c6cb1d5591eef8914282262a91961049e42ac04cf40","sha256:40b48cdd0f109d75e7a3aa7c252f235d36ea49626b5590d59f649f79987880cc"],"state_sha256":"46490a1ba2af7bf04daab6697bda38416332476617450de988542f746fb627ac"}