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Let $\\mathrm{M}_{G, {\\rm Higgs}}^{\\delta}$ be the moduli space of semistable principal $G$--Higgs bundles on $X$ of topological type $\\delta \\in \\pi_1(G)$. In this article, we compute the fundamental group and Picard group of $\\mathrm{M}_{G, {\\rm Higgs}}^{\\delta}$."},"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":"1808.00304","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-08-01T12:55:48Z","cross_cats_sorted":[],"title_canon_sha256":"0e62c8327422c2c757f28593ca73d53b169cbc0dcb0835e58b8516a4ba808080","abstract_canon_sha256":"bd9f1ced9e52261a467c9ffbc490b7ff76fcabe24676a974a78cc280c28726e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:06.519940Z","signature_b64":"dOtnMowtnfxjb7bVSedT0UDEAhC3CDAJsIDFd0XgVVGmDx4pr6CbnsvSKeoxYY0c9JKrT1fls3J6QK21oP0GCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f45fffc466edaeb7e331a3cd73fb558ac7747dd3cefa2fbe6d60ff9fd325737","last_reissued_at":"2026-05-18T00:09:06.519491Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:06.519491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Picard group and fundamental group of the moduli of Higgs bundles on curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Arjun Paul, Sujoy Chakraborty","submitted_at":"2018-08-01T12:55:48Z","abstract_excerpt":"Let $X$ be an irreducible smooth projective curve of genus $g \\geq 2$ over $\\mathbb{C}$. 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