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This provides a convergence statement for discrete holomorphic functions, similar to the one obtained by Chelkak and Smirnov for isoradial graphs. We observe that by the double circle packing theorem, any finite, simple, 3-connected planar map admits an orthodiagonal representation.\n  Our result improves the work of Skopenkov and We"},"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":"1906.01613","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-06-04T17:44:56Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"80fbe568d51b087a4c302aa1767923ca4c51f126520f3b53e69ae46ccc2fb80d","abstract_canon_sha256":"12abbf2b23b36bb0631a081925813703c78a7492e63ce371dcf3895ad497e53b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:15.955733Z","signature_b64":"z+VnvVyh0ZZcTv48AQBJ6kNOQZgXfsAtSGFj8NPL1kLkwX3Gk9jKRWTRp5RfaqQi/0i9uHwRg3vugSuGT7VkCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8a15a25d83134e9d0b2a178a8be12cfbcf356a662ca26a6425174373fb2e429","last_reissued_at":"2026-05-17T23:44:15.955208Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:15.955208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Dirichlet problem for orthodiagonal maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.PR","authors_text":"Asaf Nachmias, Daniel C. 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