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These are of the types $\\{3^{6}\\}$, $\\{4^{4}\\}$, $\\{6^{3}\\}$, $\\{3^{3},$ $4^{2}\\}$, $\\{3^{2},$ $4,$ $3,$ $4\\}$, $\\{3,$ $6,$ $3,$ $6\\}$, $\\{3^{4}, 6\\}$, $\\{4,$ $8^{2}\\}$, $\\{3, 12^{2}\\}$, $\\{4,$ $6,$ $12\\}$, $\\{3,$ $4,$ $6,$ $4\\}$. In this article, we attempt to classify these maps."},"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":"1509.04519","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-09-15T12:29:37Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"a0cee344373993282995a3ddeadfaced8a25936ca0400af077450f0c72762268","abstract_canon_sha256":"8e92a1c28b83c8c6068122c397096b2b1839ebacd787714f44732f705a8b6f6e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:34.274124Z","signature_b64":"i0Z89ieZ91jTtaTvCOXKvb9JqqxiE7ek0th0R9iULt5CCYzNiRyT4ML23IcP4BRVaxDrqx9E+vAqTKxStKq1CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7096464eada553a4a16da7757748e242450affb344e1ce6c9e7c7a163c570701","last_reissued_at":"2026-05-18T00:51:34.273290Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:34.273290Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On enumeration of a class of maps on Klein bottle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.CO","authors_text":"Ashish Kumar Upadhyay, Dipendu Maity","submitted_at":"2015-09-15T12:29:37Z","abstract_excerpt":"We present enumerations of a class of maps on Klein bottle which give rise to semi-equivelar maps. 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