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In this note, we explicitly construct large positive integral points on affine cluster varieties of type $B_n$ (resp. $D_n$), giving rise to friezes of types $B_n$ (resp. $D_n$) over the positive integers with largest entries $F_{n+1} F_{n+2} - 1$ (resp. $F_n F_{n+1} - 1$) where $F_k$ is the $k$-th Fibonacci number. We conjecture that these are the maximal possible entries for their respective Dynkin types."},"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":"2606.02870","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2026-06-01T20:33:20Z","cross_cats_sorted":["math.NT","math.RT"],"title_canon_sha256":"b3f012485d04e03ade6b8c00f789979bd0fe691b4fa5fa6b6e6fdc0dc54ab94e","abstract_canon_sha256":"bb4ce73d96de7d83e5094ad9b9e1100088d40affce8b88bac192f2f99a1be945"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T01:05:25.332433Z","signature_b64":"s+p12+b4FHi8ghVx6+MoNbV3v6UkIIrCm9f/pRZZkPK1FKUcaoyUMmDatJWPhkOB4bI80J4/29aSSN7dBrhRCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94cff6cea40a06707bcb407b90bbf79f2dd6ff441a83d3dff24b324fc76ebcbb","last_reissued_at":"2026-06-03T01:05:25.332011Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T01:05:25.332011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On maximal Dynkin friezes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT","math.RT"],"primary_cat":"math.CO","authors_text":"Robin Zhang","submitted_at":"2026-06-01T20:33:20Z","abstract_excerpt":"The maximal entries of Dynkin friezes over the positive integers have recently been determined for all finite Dynkin types except $B_n$ and $D_n$. In this note, we explicitly construct large positive integral points on affine cluster varieties of type $B_n$ (resp. $D_n$), giving rise to friezes of types $B_n$ (resp. $D_n$) over the positive integers with largest entries $F_{n+1} F_{n+2} - 1$ (resp. $F_n F_{n+1} - 1$) where $F_k$ is the $k$-th Fibonacci number. 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