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We characterise these elements in terms of geometric conditions on the points $x_n$, $y_n$ of the underlying metric space, and determine when they are points of G\\^ateaux differentiability of the norm. In particular, we show that G\\^ateaux and Fr\\'echet differentiability are equivalent for finitely supported elements of Lipschitz-free spaces over uniformly discrete and bounded metric spaces, and t"},"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":"2003.01439","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2020-03-03T10:48:13Z","cross_cats_sorted":[],"title_canon_sha256":"6f9ef81503c902e384e0a80979389e24760e3d8633d5593ea62d30aacc0cc1be","abstract_canon_sha256":"0ffa6070d9f3594a713baa7b03057e84b66074cc4dacb9997c256485d9556fb3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:05:09.381404Z","signature_b64":"NmtiYwAkRKjJKaO1wK3Uj/QjwyjNwfMW8OGn9H6OxsltdKeJ20eAt04b66qamPWZfyYldPSXLijV8V/PCiaSAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b509357fb91a9ac93bb4c6d911f5aa108dd0400f83a95da20831fc2eff36378f","last_reissued_at":"2026-07-05T04:05:09.381013Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:05:09.381013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Points of differentiability of the norm in Lipschitz-free spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Abraham Rueda Zoca, Ram\\'on J. 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