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We investigate the behavior of the integrated density of surface states of $H"},"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":"1602.05123","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-02-16T18:26:37Z","cross_cats_sorted":["math.AP","math.MP","math.SP"],"title_canon_sha256":"bb46a4d773949e80cea5de0dcd76abf4c1b957a10a20c628a96873bbf50ef256","abstract_canon_sha256":"521515796da3e8fbbbe15c70f4dd41fb470232b65467e2268c0a87d98af80415"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:15.481895Z","signature_b64":"nuy7Ax+YaeNYRq8Z5EyIPA9dzGqriNuyOyRYUW5hIbEqUEkgbwtFxwQu36R1tk9K0qitLV6afy4Ht3+/sfPLDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7479c982a4dd44d916ec384820806cabb5133ffa6a5b8f0e90b2f5fa92befc53","last_reissued_at":"2026-05-18T00:47:15.481252Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:15.481252Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Surface Lifshits tails for random quantum Hamiltonians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP","math.SP"],"primary_cat":"math-ph","authors_text":"Georgi Raikov, Werner Kirsch","submitted_at":"2016-02-16T18:26:37Z","abstract_excerpt":"We consider Schr\\\"{o}dinger operators on $L^{2}({\\mathbb R}^{d})\\otimes L^{2}({\\mathbb R}^{\\ell})$ of the form $ H_{\\omega}~=~H_{\\perp}\\otimes I_{\\parallel} + I_{\\perp} \\otimes {H_\\parallel} + V_{\\omega}$, where $H_{\\perp}$ and $H_{\\parallel}$ are Schr\\\"{o}dinger operators on $L^{2}({\\mathbb R}^{d})$ and $L^{2}({\\mathbb R}^{\\ell})$ respectively, and $ V_\\omega(x,y)$ : = $\\sum_{\\xi \\in {\\mathbb Z}^{d}} \\lambda_\\xi(\\omega) v(x - \\xi, y)$, $x \\in {\\mathbb R}^d$, $y \\in {\\mathbb R}^\\ell$, is a random 'surface potential'. 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