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Combining our results with those in [HT] (Hofmann-Tapiola) gives us a new characterization of uniform rectifiability which complements the recent results in [HMM] (Hofmann-Martell-Mayboroda), [GMT] (Garnett-Mourgoglou-Tolsa) and [AGMT] (Azzam-Garnett-Mourgoglou-Tolsa)."},"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":"1801.05996","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-18T13:02:10Z","cross_cats_sorted":[],"title_canon_sha256":"0f082ad0f8272d389db5a0db01773328ff2cafa5e4ce705881a7cd301ff5183d","abstract_canon_sha256":"079510cfe620aaf120d5d1de4da39d1c9af1b7ece3995b1d813777e1613426bb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:35.904502Z","signature_b64":"+SQRBHlf1s+MZ4tqnnLQAKLsvZB1m5aKY8VWL1WgYfyLo2A4tUL+d8kiN97Fgch5Cr6+14zZPTStmMxRe1d0AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ca1777f77c91a5c7ba95f6bfc5783a340f90e01fa3c4d913b195216a72e242f","last_reissued_at":"2026-05-18T00:25:35.903813Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:35.903813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$\\varepsilon$-Approximability of Harmonic Functions in $L^p$ Implies Uniform Rectifiability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Olli Tapiola, Simon Bortz","submitted_at":"2018-01-18T13:02:10Z","abstract_excerpt":"Suppose that $\\Omega \\subset \\mathbb{R}^{n+1}$, $n \\ge 2$, is an open set satisfying the corkscrew condition with an $n$-dimensional ADR boundary, $\\partial \\Omega$. 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