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For chemical potentials, $\\mu$, within the Hubbard gap, $ |\\mu | < \\mu_c$, and at {\\it long} distances, $\\vec{r}$, $G(\\vec{r}, \\omega = \\mu) \\sim e^{ -|\\vec{r}|/\\xi_l}$ with critical behavior: $\\xi_l \\sim | \\mu - \\mu_c |^{-\\nu}$, $ \\nu = 0.26 \\pm 0.05$. This result stands in agreement with the assumption of hyperscaling with correlation exponent $\\nu = 1/4$ and dynamical exponent $z = 4$. In contrast, the generic band insulator as w"},"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/9510084","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1995-10-16T07:50:17Z","cross_cats_sorted":[],"title_canon_sha256":"8c89161da3eacb91df1813465a3c1119d5d77f57a1fc1e27a0cd2eb89b9229c9","abstract_canon_sha256":"d74edc199c2e0f5994fc7ac7e463340acc1a55beac060e3481b8bccedabb209a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:58:41.817436Z","signature_b64":"4msPPoWTre0QgCT/GxQc9B/1sAXV4nPNMFH0zw308Xp1znohDQXs3boDgCwQtRS4NAdRBWqS7ke0XAJhuJbHDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6384fc367d56448cd4de782bd0fb4599e0becbff7226c4e6a2cece497ce50628","last_reissued_at":"2026-07-04T15:58:41.817027Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:58:41.817027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Insulator-Metal Transition in the One and Two-Dimensional Hubbard Models","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"F.F. 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