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Together with the theorem of Catino, Li, Monticelli, and Roncoroni in $\\mathbb H^1$, this classifies the positive entire solutions in every dimension.\n  Both Euclidean routes to such a statement lose their starting configuration here. Hyperplane reflections are not CR automorphisms, and a CR inversion preserves its Koranyi sp"},"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":"2608.10642","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-08-11T08:29:58Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"a4adf8d3c9c1cfc76ea5f6ae6137bf995268aa9f24e72fafbbf6e58e6ea0efe1","abstract_canon_sha256":"d60badd1cf70caf06b1c7348672bc37201832ae2b40ece760ba3e693ed0b8452"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-12T01:22:55.793931Z","signature_b64":"wFas7dEl8IEr/nDc52QSozTbeFaPum0Wl6r5xtcrel+/srv4KUW5ggKg4izVDSRDMn8FpYJXrR3wEKc7dx02Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"767c704244bd7eb9bae570da6ffa40e9587550de92a432e753d8fc7e1280e9c0","last_reissued_at":"2026-08-12T01:22:55.792057Z","signature_status":"signed_v1","first_computed_at":"2026-08-12T01:22:55.792057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classification of positive entire solutions of the CR Yamabe equation on the Heisenberg group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"Jungang Li","submitted_at":"2026-08-11T08:29:58Z","abstract_excerpt":"We prove that, for every $n\\ge 2$, every positive entire solution of the critical CR Yamabe equation $4\\Delta_b u = n^2 u^{(Q+2)/(Q-2)}$, $Q=2n+2$, on the Heisenberg group $\\mathbb H^n$ is a Jerison-Lee bubble. 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