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Dekking conjectured that this quantity is greater than $N/q$ and, respectively, less than $N/q$ for infinitely many $N$, thereby claiming an absence of a drift (or Newman) phenomenon. In this paper we prove his conjecture."},"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":"1305.1017","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-05-05T14:49:35Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"c88e1748b6e34a937ec9dfac208a9a39dbfa7f8d644e3d36d6308b0f144a968b","abstract_canon_sha256":"045a0f15eee200b4cacc434d684f297fc24c286349a6ce876f618c8c0b0575fd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:11.850665Z","signature_b64":"ddiZx/IaqhcfL86XfjARwx5juZAhfUsqDwIzqRavzDypx3imGOnLTHQhMjzzNWkM14yd/dbskKFZfZSSWSppBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11fd98a102d7c1d9ecfa26deaddcad1e8eb6a3a4b651939778c0e469323658b3","last_reissued_at":"2026-05-18T03:26:11.849909Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:11.849909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a conjecture of Dekking : The sum of digits of even numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.NT","authors_text":"Daniel El-Baz, Iurie Boreico, Thomas Stoll","submitted_at":"2013-05-05T14:49:35Z","abstract_excerpt":"Let $q\\geq 2$ and denote by $s_q$ the sum-of-digits function in base $q$. 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