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For M = N, r = s =1, our result is\n  R_{NxN} = (4/pi) log N + 0.077318 + 0.266070/N^2 - 0.534779/N^4 + O(1/N^6)."},"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":"0809.4867","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-09-28T20:34:18Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"caa8caed91bda98c8641cbbeb7cfefec9c6f4d73dc84bb6a9108efdabcd34581","abstract_canon_sha256":"4a548a2500e9361b57c1ea3bd294b169f8029f116197a412073e289966a235e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:44.102950Z","signature_b64":"/FwvIltvMLNW35XNTmtliwXYdzxNkUyXEZZ3W1DHzpdUtWnDEnm04ui4e8nmQ0WN70XhDAtNyTuIf+sfHQd6BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c233441fff5f60ee589d9a17c0f4c45acaba2b6bf26feec2827ee0f0afe5c458","last_reissued_at":"2026-05-18T04:24:44.102542Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:44.102542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The exact evaluation of the corner-to-corner resistance of an M x N resistor network: Asymptotic expansion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"F. 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