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Here we report the FSE of this entropy in disjointed intervals $A = \\cup_i A_i$ under a uniform dilation $\\lambda A$ in the XY model, showing of a universal scaling law as\n  \\begin{equation*}\n  \\Delta_{\\lambda A}^\\alpha = \\De"},"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":"2203.10272","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-03-19T08:41:20Z","cross_cats_sorted":[],"title_canon_sha256":"e551666d07744c946aecc12aeee2f3ae88a43994b8d7a806fabce98b9c41e891","abstract_canon_sha256":"963a093d127692ea286163faf343e6cf498c101694b7be60c1cab05ff49e3c59"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:19:56.545904Z","signature_b64":"XOPdmNgwLRSdXzyX0rjIuU+DcTX3h0NYx48O0xufJCK+buAnj8CFErlxVgMhEEWVji79/M3kShUzOabiR7jRCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f025b95ea53d9f7a6ac4757e1605cff7a78b43caf1dd7a150de90e9db0a23083","last_reissued_at":"2026-07-05T04:19:56.545236Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:19:56.545236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scaling of finite size effect of $\\alpha$-R\\'enyi entropy in disjointed intervals under dilation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Guangcan Guo, Long Xiong, Ming Gong, Shunyao Zhang","submitted_at":"2022-03-19T08:41:20Z","abstract_excerpt":"The $\\alpha$-R\\'enyi entropy in the gapless models have been obtained by the conformal field theory, which is exact in the thermodynamic limit. 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