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Then a modified version of the Donaldson heat flow converges along a subsequence of times to a solution of a generalized Hermitian-Einstein equation, given by $i\\Lambda F+[\\theta,\\theta^\\dagger]=\\lambda I$."},"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":"1110.3768","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-10-17T19:18:03Z","cross_cats_sorted":[],"title_canon_sha256":"b74ca187b7651693880b5ed0346324385772a30fa3fb896831339a568a75e269","abstract_canon_sha256":"a003cc7985a3aa600548833dc354cbb4c942b5a89cda644ee46301e80ad5ed28"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:24.396913Z","signature_b64":"ha1UCD+Tsedxxgsmff85n/ZcwST1o6+uaZC2JsEwB3hgpsFHV5uoidviurdxsP4RtNB4udAJPx0mfQ9BFFRIDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93b2cac509a4ee6d64490e3f536c92618c8fa819830f058b1382c0fedbc0d97d","last_reissued_at":"2026-05-18T02:39:24.396572Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:24.396572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stable Higgs bundles and Hermitian-Einstein metrics on non-K\\\"ahler manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Adam Jacob","submitted_at":"2011-10-17T19:18:03Z","abstract_excerpt":"Let $X$ be a compact Gauduchon manifold, and let $E$ and $V_0$ be holomorphic vector bundles over $X$. 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