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The main result of this article states that the $L^2$ norms in $u$ of the deformed Schrodinger ei"},"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":"1112.6213","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2011-12-29T01:27:43Z","cross_cats_sorted":["math-ph","math.AP","math.MP"],"title_canon_sha256":"66908e02f9a60ea61b6f498a04064c465c05208f0dd1f1e9153c3e082dfe0e2f","abstract_canon_sha256":"7945b9e76e8f8aa1577dfa527635595bd9e3af63696e77ae46e4d06fa51ef383"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:58.311493Z","signature_b64":"XWgPuhItTocpG+lgmgF5jxX80SdbXUlZWKDIDqXsUp3+GoHZH1RuKqERIbQvJg7EtuITTUN1A7sEW09Yw9I+BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5330045c0e059b9a76f3555ac1c5bb7184fc45124a52b78144d854d0664c75c1","last_reissued_at":"2026-05-18T03:49:58.311080Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:58.311080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Averaged Pointwise Bounds for Deformations of Schrodinger Eigenfunctions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"math.SP","authors_text":"John A. 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