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Extending a result of Weitze-Schmith\\\"usen we show that also the homology Veech group is a totally non-congruence subgroup with exceptions stemming only from the prime ideals lying above 2. While Weitze-Schmith\\\"usen's result for Veech groups is asymmetric with respect to the spin structure our use of the homology Veech group yields a complet"},"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":"1301.6495","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-01-28T09:50:24Z","cross_cats_sorted":[],"title_canon_sha256":"f3bc93610fc4325258d3c9978cfea210d3f338159c8d8c8f2d8c30e050d92c21","abstract_canon_sha256":"c29e4443f9398c9b26fd3fc71faef77c4ca6cb0b24d051ceb68ecde8b5368ba0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:46.430458Z","signature_b64":"DHJMVhxCVuBpJhAvIhvBf3Gftn9t3uglu5O7wqAXYAeBtRakyD8LCz7Ubna82qOXp+KzMj4iRQ59YdGnW6zVCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b70bfa38ca944a0bc7ae59a6ea096abaeda6e02dd1cb45759e8e72cb49dc87e","last_reissued_at":"2026-05-18T00:44:46.430038Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:46.430038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-congruence of homology Veech groups in genus two","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Christian Wei{\\ss}","submitted_at":"2013-01-28T09:50:24Z","abstract_excerpt":"We study the action of the Veech group of square-tiled surfaces of genus two on homology. 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