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In the case that $\\mathcal{W}^\\varepsilon=\\varepsilon^\\sigma W$, we prove that for all $\\sigma>"},"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":"1905.09182","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-05-21T08:09:05Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"1cd1ad153398da534fe19c345a3a9639854929b33a9647a0321700e4982a3d74","abstract_canon_sha256":"645a4efb04544fee914d7f5caedbe386bd069138ab5ba06ea01432cf075a6b92"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:21.726328Z","signature_b64":"THwta0u+JMZcIgUw3oMdXRBPRFml1Wyj0bEjfeSDTTcHKDc6a3H1r8JesKZEd5vLQtD09SD6OCBy4O+qDIFtAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d52e25f86456dcf590b85dc8100dfa1ae464290abd81968d012125d0b302b36f","last_reissued_at":"2026-05-17T23:45:21.725749Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:21.725749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Weak solutions to the sharp interface limit of stochastic Cahn-Hilliard equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.PR","authors_text":"Huanyu Yang, Rongchan Zhu","submitted_at":"2019-05-21T08:09:05Z","abstract_excerpt":"We study the asymptotic limit, as $\\varepsilon\\searrow 0$, of solutions of the stochastic Cahn-Hilliard equation: $$\n  \\partial_t u^\\varepsilon=\\Delta \\left(-\\varepsilon\\Delta u^\\varepsilon+\\frac{1}{\\varepsilon}f(u^\\varepsilon)\\right)+\\dot{\\mathcal{W}}^\\varepsilon_t, \\\\ $$ where $\\mathcal{W}^\\varepsilon=\\varepsilon^\\sigma W$ or $\\mathcal{W}^\\varepsilon=\\varepsilon^\\sigma W^\\varepsilon$, $W$ is a $Q$-Wiener process and $W^\\varepsilon$ is smooth in time and converges to $W$ as $\\varepsilon\\searrow 0$. 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