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In the framework of the perturbation theory, changes in the electronic spectrum of the nanoobject caused by an external magnetic field $\\vec{B}$, depending on its size, are analyzed. We consider two cases of the fields which are described 1) by the Landau gauge, $\\vec{A}(\\vec{r})=\\left(0,Bx,0\\right)$ ($\\vec{B}$ is oriented along the side $c$) and 2) by $\\vec{A}(\\vec{r})=\\"},"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":"1906.11581","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2019-06-27T12:12:00Z","cross_cats_sorted":[],"title_canon_sha256":"a69699a95c316bf7c159e92b1c347f00b99193e36d8e1c4b29050b83eabf40b5","abstract_canon_sha256":"28c5d3641d0f5ecb288c666ac00d0f030fb1a7746f7f409adf362b6fae06787e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:04.393192Z","signature_b64":"/beBK1+yo2+QZt6BrBi/GSWUt75WdyJO0M8oUp+2kphdsMmQRm3WSGwfAo6ah0qrkI5+9iQ8IjzxrHSi7wdiCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5b6c6ede6811d52e4324b1f445f1205583f93249cb7388d13b32ddb39e059d6","last_reissued_at":"2026-05-17T23:42:04.392681Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:04.392681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Size effects of a nanoobject in magnetic field","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"B.A. Lukiyanets, D.V. 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