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We prove that the isomorphism class of the moduli space of principal $G$--bundles on $X$ determine uniquely the isomorphism class of $X$."},"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":"1704.04318","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-04-14T01:02:14Z","cross_cats_sorted":[],"title_canon_sha256":"0f3876b6c93b19a3bfefbf6a5231e16ab6d6bb1430f0139c51fb89458d428c1c","abstract_canon_sha256":"2ccfb6ad2167a002ea590d7af9030371630e4e039d82f00894d5941e1e80df33"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:21.931647Z","signature_b64":"FCBd7DQ47+zY6ykPl0ldc7jqFXzvAVw97RrcGsd7OAO4bp2Qs6MS420ZTB9YHpTHGB2QC0s0uzTBbf/edemuDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2df303d523b0f02dabe8aa75fb2c8d9f7021f9dd9c17c3b19256ad7e14fab3f6","last_reissued_at":"2026-05-18T00:46:21.931228Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:21.931228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Torelli theorem for moduli spaces of principal bundles on curves defined over $\\mathbb R$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Indranil Biswas, Olivier Serman","submitted_at":"2017-04-14T01:02:14Z","abstract_excerpt":"Let $X$ be a geometrically irreducible smooth projective curve, of genus at least three, defined over the field of real numbers. 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