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Given a disorder potential with a basic scale \\xi and a correlator K_0(u) \\sim K_0 (u/xi)^{-\\beta} ln^alpha (u/xi) we determine the dependence of L_c(T) on the correlator range: correlators with \\beta > 2 (short-range) and \\beta <2 (long-range) lead to the known results L_c(T) \\sim L_c(0) exp[C T^3] and L_c(T) "},"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":"cond-mat/0104232","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2001-04-12T14:55:54Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.supr-con"],"title_canon_sha256":"bba6022aae76fdf462ee1660a86708412c4f335b524217e02bc141a5e547e371","abstract_canon_sha256":"6a29ab39b35dadfacb1d6733d84ebc5c32e15f466daf2cf76788beba2e371669"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:25:23.615537Z","signature_b64":"rBJa3/Dxm3CCSFmKtFvzaEsu4UvhZo2XlyG9SyMfgSFp0ZxPjF2BonzEHPmlHyOqYhbdzTNCMhlkocrmS1oDCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1b40dc7d33a466d71511265585be2f0e4c56db7722caeedab55e9a81558adc9","last_reissued_at":"2026-07-04T16:25:23.615147Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:25:23.615147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Marginal pinning of vortices at high temperature","license":"","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.supr-con"],"primary_cat":"cond-mat.dis-nn","authors_text":"D.A. 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