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The additive and multiplicative groups of our example are \\[\n  \\PSU_5(64)\\times A_5\n  \\quad\\text{and}\\quad\n  \\Aut(\\PSU_5(64)), \\] respectively. The construction combines a skew brace with additive group \\(A_5\\) and multiplicative group \\((C_5\\rtimes C_4)\\times C_3\\), the splitting of the automorphism extension of \\(\\PSU_5(64)\\), and a semidirect product of skew b"},"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":"2607.14059","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.GR","submitted_at":"2026-07-15T17:31:40Z","cross_cats_sorted":[],"title_canon_sha256":"15b8fb29398e8550050cf5297ba35ee670c67b7512d8b5d8ecdd39d788b41e65","abstract_canon_sha256":"4c9beaf06c13c9c91eb9dff91eddcfcdf147936a3802f7024f85c356a34d1c47"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-16T01:23:22.345054Z","signature_b64":"aUVPtEkiJBTSACH1j3ic+r0BkAdiIPfFS3iOq+oIoKyMWkzPOQ52suUo7DNf8qlU+XmgYq20sndZ5YWsOKuCCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7860b43b06082daa5557060fa891aa50722f32080ee544178bb0f44626c775a7","last_reissued_at":"2026-07-16T01:23:22.344247Z","signature_status":"signed_v1","first_computed_at":"2026-07-16T01:23:22.344247Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Finite Skew Brace with Perfect Additive Group and Almost Simple Multiplicative Group","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Maria Ferrara, Massimiliano Di Matteo","submitted_at":"2026-07-15T17:31:40Z","abstract_excerpt":"We construct a finite skew brace whose additive group is perfect and whose multiplicative group is non-perfect and almost simple. 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