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More precisely, for $\\gamma$ an open and non-empty subset of $\\partial\\Omega$, we consider the boundary spectral data on $\\gamma$ given by $\\mathrm{BSD}(q,\\gamma):=\\{(\\lambda_{k},{\\partial_\\nu \\phi_{k}}_{|\\overline{\\gamma}}):\\ k \\geq1\\}$, where $\\{ \\lambda_k:\\ k \\geq1\\}$ is the non"},"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":"1703.08832","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-26T16:03:04Z","cross_cats_sorted":[],"title_canon_sha256":"964ed3cbfc8a379c63492d7747f524ea0a43fcfa8e6cf3f25e34ec706cb44f2e","abstract_canon_sha256":"46a1411d35debbe014d2040cbe3f05bedbfa8af7a98e4344b85e3cfe39831117"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:55.419276Z","signature_b64":"BLh+sEnj493jbL0D3qPg9rcHErbqGIQpH/52rHOJMnj3WcYEaAWCy5SEtFstnfcX0cSs3T4EgYIyPYLefoGTDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de8aaacec90b42bae9926d7ed61581b32741696e68ecdb60e063fc9567095be1","last_reissued_at":"2026-05-18T00:47:55.418622Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:55.418622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Application of the boundary control method to partial data Borg-Levinson inverse spectral problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Lauri Oksanen, Morgan Morancey, Yavar Kian","submitted_at":"2017-03-26T16:03:04Z","abstract_excerpt":"We consider the multidimensional Borg-Levinson problem of determining a potential $q$, appearing in the Dirichlet realization of the Schr\\\"odinger operator $A_q=-\\Delta+q$ on a bounded domain $\\Omega\\subset \\mathbb{R}^n$, $n\\geq2$, from the boundary spectral data of $A_q$ on an arbitrary portion of $\\partial\\Omega$. 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