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Take a $\\widetilde G$--equivariant principal $R$--bundle $E$ on $M$, where $R$ is a complex reductive algebraic group and $\\widetilde G$ is the universal cover of $G$. If the action of the isotropy group $\\widetilde H$ on the fiber of $E$ at the identity coset is irreducible, then we prove that $E$ is polystable with respect to any polarization on $M$. Further, for wonderful compactification of the quotient of $\\text{PSL}(n,{\\mathbb C})$, $n\\,\\neq\\, 4$"},"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":"1501.02541","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-01-12T04:38:57Z","cross_cats_sorted":[],"title_canon_sha256":"3e634bf39aac5e6e1a70beff168964a24d0b07b721fa4eb6879f83f3c3e15c4d","abstract_canon_sha256":"61694a1cc324928b99290799b567456fad7badf9b948ce9715949187d5132d6b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:37.720983Z","signature_b64":"uv3SIn3cSN6tEiEW95NFFfwfOz05/1XkguANRcVToKHmCdSAsErbeX9q/QJVjBgv2VBuzadkPllN7YtlAG0DDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51628c9a2ca41a561737712f8863bf001de44fbcc24661844c0a0d08408f15e7","last_reissued_at":"2026-05-18T02:29:37.720556Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:37.720556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On equivariant principal bundles over wonderful compactifications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"D. 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