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As a consequence, we obtain infinitely many periodic solutions to the singular Yamabe problem on $\\mathbb S^m\\setminus\\mathbb S^k$, for all $0\\leq k<(m-2)/2$, the"},"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":"1603.07788","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-03-25T00:41:23Z","cross_cats_sorted":[],"title_canon_sha256":"e52ee82dc415ed5c14c6feaa50ca34911070a39fa89db04712b6b975e24e0d25","abstract_canon_sha256":"0be1b2b0cd07ff5f3879ff82cfb9faba8d4dab4c73b0ef889a3be3c706d51c21"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:12.169518Z","signature_b64":"s35WFnDDj3J7nGpSSmYcdwXXIF+H+uqdTEgmWC+3b0kHKenlTYNDvzn43x8dwS13C5Q8WTwUhQcf1nLObYtxCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37f979ed5b5b611e631bdb1e2332d59b0f3202b566c4e714b7365390bb3aa641","last_reissued_at":"2026-05-17T23:53:12.168730Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:12.168730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Infinitely many solutions to the Yamabe problem on noncompact manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Paolo Piccione, Renato G. 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