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We construct the moduli space of principal Higgs G-bundles over an irreducible singular curve $X$ using the theory of decorated vector bundles. More precisely, given a faithful representation $\\rho:G\\to Sl(V)$ of $G$, we consider principal Higgs bundles as triples $(E,q,\\phi)$ where $E$ is a vector bundle with $\\rk{E}=\\dim V$ over the normalization $\\xtilde$ of $X$, $q$ is a parabolic structure on $E$ and $\\phi:E\\ab{}\\to L$ is a m"},"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":"1110.0632","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-04T10:45:50Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"628e18ccc39204639ce8d4536b1ed03bcd3cbfb169b4e666fd1a8aba553585c5","abstract_canon_sha256":"98041f43d333139fde716ce38ecee32353343941b0852912b8451918eddba250"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:20.281744Z","signature_b64":"6AhNauf5DPCCSGSE7ypvww/Opy3JOqVF5M4mT5rW1CLFVawpHre1TtzGc/zKjlmFKNgi/2zMW/m/kjxHBcL1Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbacf27984cfb8fdab8ba25f096141d10a1fdf850dcf8df243ac1a2076f3ff48","last_reissued_at":"2026-05-18T03:53:20.281079Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:20.281079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A compactification of the moduli space of principal Higgs bundles over singular curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Alessio Lo Giudice, Andrea Pustetto","submitted_at":"2011-10-04T10:45:50Z","abstract_excerpt":"A principal Higgs bundle $(P,\\phi)$ over a singular curve $X$ is a pair consisting of a principal bundle $P$ and a morphism $\\phi:X\\to\\text{Ad}P \\otimes \\Omega^1_X$. 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