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In the limit $N \\rightarrow 1$, $\\tau \\rightarrow \\tau_0$, such that $\\tau_0$ is finite, we recover the off-critical local height probability on a plane, $\\tau_0$-away "},"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":"1711.03337","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-09T11:48:13Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"25430a7cab728661b48fdf62d414b4b71c76cfd946d84e25f61d925d1e5f2b1f","abstract_canon_sha256":"42ac78de2ba4b078f82446921fe5dc5d39a6ffba06e68740fc35b0be7243056a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:50.802696Z","signature_b64":"at9G6Wc06pE0xG9OG08dcb1SfRuw7FvwkMz9DVSzu8lnOk33UkCHKnxrTlcgfDEdqqZhEkvc0GCxyjPr5BHjBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77f09315e86c967b8bdffbf7965613b8fa0ae5d032531f9f8eba00ede98e80e9","last_reissued_at":"2026-05-18T00:21:50.801941Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:50.801941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Off-critical local height probabilities on a plane and critical partition functions on a cylinder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Omar Foda","submitted_at":"2017-11-09T11:48:13Z","abstract_excerpt":"We compute off-critical local height probabilities in regime-III restricted solid-on-solid models in a $4 N$-quadrant spiral geometry, with periodic boundary conditions in the angular direction, and fixed boundary conditions in the radial direction, as a function of $N$, the winding number of the spiral, and $\\tau$, the departure from criticality of the model, and observe that the result depends only on the product $N \\, \\tau$. 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