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This is done by showing that the difference of two Dirichlet-Neumann maps is equal to the Neumann boundary values of the solution to an inhomogeneous equation for said operator, where the source term is a measure suppo"},"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":"1511.01700","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-05T11:33:48Z","cross_cats_sorted":[],"title_canon_sha256":"11f432c17379c5eb9b106fbee8ba11592c5a04f36678c605baec7f09cb988c72","abstract_canon_sha256":"f559e0107022e1f3ada0bbfdf25919687a4469a482e24de8fff9899a59b0b64c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:44.771182Z","signature_b64":"lDjmeY01XE2RqclaaKBDvayYuCJ1uYKEY0ij9Pwh5dlbDxgWRFgl/C0GmXj6IWMQIVbpzrzbNizTSnOQDZMrAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1dc14688aa90f099b8ca9b1ab99c276384ab181a04a68c089fbfafabec50bbed","last_reissued_at":"2026-05-18T01:27:44.770444Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:44.770444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Calder\\'on problem is an inverse source problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jan Cristina","submitted_at":"2015-11-05T11:33:48Z","abstract_excerpt":"We prove that uniqueness for the Calder\\'on problem on a Riemannian manifold with boundary follows from a hypothetical unique continuation property for the elliptic operator $\\Delta+V+(\\Lambda^{1}_{t}-q)\\otimes (\\Lambda^{2}_{t}-q)$ defined on $\\partial\\mathcal{M}^{2}\\times [0,1]$ where $V$ and $q$ are potentials and $\\Lambda^{i}_{t}$ is a Dirichlet-Neumann operator at depth $t$. 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