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We prove that if $F$ is a homogeneous Finsler metric on the sphere $S^n$ such that $(S^n, F)$ is CW-homogeneous, then $F$ must be a Randers metric. This gives a complete classification of CW-homogeneous Finsler metrics on spheres."},"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":"1312.0747","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-12-03T09:32:18Z","cross_cats_sorted":[],"title_canon_sha256":"63d2f0fed6141e88cbbfc8021318ad0938a87d8c504c1a7b30fcf523a088b14e","abstract_canon_sha256":"9b0aec58b729ee3f6aa55c7abdf323fccc72055582014cd44c8f50b841aec4dd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:36.800132Z","signature_b64":"xX3FlqMRJ1WXFYBtr36p8QUM6k8d/zm+Dxr03f2TsvHvSBuOSh0BKkUM79/jOBnRul56GaKMFCrKG/54/SxqAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4319b6da3e18d1e72bfc24cd59fdc7290c0b37115c978ad6c6d53ce08ada0121","last_reissued_at":"2026-05-18T03:05:36.799462Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:36.799462Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Clifford-Wolf homogeneous Finsler metrics on spheres","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Ming Xu, ShaoQiang Deng","submitted_at":"2013-12-03T09:32:18Z","abstract_excerpt":"An isometry of a Finsler space is called Clifford-Wolf translation (CW-translation) if it moves all points the same distance. 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