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The main novelty is a measure-valued variational formulation: the stopping gain \\(\\Gamma=c+rG-\\mathcal LG\\) is shown to be a signed Radon measure whose singular component is supported on the kink diagonal \\(\\{x_1=\\alpha x_2\\}\\), and this component is computed explicitly. We prove that the value admits the killed-resolvent representation \\[\n  V=G-R_r^{\\mathcal C}\\Gamma, \\] where the reflected diffusion is killed"},"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":"2606.21575","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-06-19T16:18:17Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"7d04de5b1852c96d10bc618f41ece8815265b21ab1a46082a25b7a24fc109dc4","abstract_canon_sha256":"2e56204ba0f3e4a9308140a32b8d1a298f198c4e1193339294c5b0be6aa4d4b9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T01:13:15.100182Z","signature_b64":"y4lLdAC1Eu5QEW9S91+6CtrozmLp6EwApS5yUz5ykv6AQfliNqNvNOc3TxpMAC6GFsCb/SsXendX4iECzHCjCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea6ed127b84ee65ffd1851376ec54269b9f0af68afd8a5868bd4384e940c8f18","last_reissued_at":"2026-06-23T01:13:15.099807Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T01:13:15.099807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonsmooth Obstacles and Killed Resolvents in Reflected Stochastic Control","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.OC","authors_text":"Jiguang Yu, Louis Shuo Wang, Ye Liang","submitted_at":"2026-06-19T16:18:17Z","abstract_excerpt":"We study an infinite-horizon optimal stopping problem for a normally reflected two-dimensional diffusion in the quadrant with nonsmooth max-type payoff \\(G(x_1,x_2)=x_1\\vee\\alpha x_2\\). 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