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In \\cite{V}, the third author proved that every stable vector bundle on $M$ is of the form $L\\otimes \\Pi^*B_0$, where $B_0$ is a stable vector bundle on $X$, and $L$ is a holomorphic line bundle on $M$. Here we prove that every stable Higgs bundle on $M$ is of the form $(L\\otimes \\Pi^*B_0,\\Pi^*\\Phi_X)$, where $(B_0, \\Phi_X)$ is a stable Higgs bundle on $X$ and $L$ is a holomorphic"},"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":"1806.03838","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-06-11T07:18:36Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"448bd537a24fe6f596c379568fad7359cd6f8bcac966c360730b95793c230baa","abstract_canon_sha256":"363dadd7af13ef784ee3d154ab1cc925589adea5e75503df7c959dcac59adfb5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:41.896776Z","signature_b64":"KbdkzGvOl7sCpnqd+jHiOUwmJ7hsHJak/m8MBFG/+Y6G/WYqPUTJRES7Bn6guBnq1U2sGUpMb+EDVIgI30UOAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee52a67c46500f6d462d1e7693afecbeccd5f0ec4370e3bc09a99593b21b9b6d","last_reissued_at":"2026-05-18T00:13:41.896227Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:41.896227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stable Higgs bundles over positive principal elliptic fibrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.DG","authors_text":"Indranil Biswas, Mahan Mj, Misha Verbitsky","submitted_at":"2018-06-11T07:18:36Z","abstract_excerpt":"Let $M$ be a compact complex manifold of dimension at least three and $\\Pi : M\\rightarrow X$ a positive principal elliptic fibration, where $X$ is a compact K\\\"ahler orbifold. 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