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We prove that, for some numerical conditions, $\\mathcal M$ is irreducible, and that the isomorphism class of the variety $\\mathcal M$ uniquely determines the isomorphism class of the Riemann surface $X$."},"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":"0912.4615","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-12-23T11:45:23Z","cross_cats_sorted":[],"title_canon_sha256":"8ab8fd5e583c3cff9ff58f92a35e8d59083f468c30559f834dabb2aab4be02c6","abstract_canon_sha256":"9e4858b21f89641858316eeae3be9f4193f3c999062d120512227cc70fbe0243"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:46:04.192139Z","signature_b64":"V7g/7VMKp7Xm4V6TDfVUl4YJ+q1C9ZGmvx168Uvc+5FMFzoonghXjENSFAhNuYKprASMmJS8ZyLLNUK8tgYgBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3995d2235937fd7b4e2f726b1c711f638ead1570e396c818a6a5dd40ba0bdde","last_reissued_at":"2026-05-18T03:46:04.191375Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:46:04.191375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On moduli spaces of Hitchin pairs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Indranil Biswas, Marina Logares, Peter B. 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