{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CH6ZRIIC27A5T3H2E3PK3XFND2","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"045a0f15eee200b4cacc434d684f297fc24c286349a6ce876f618c8c0b0575fd","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-05-05T14:49:35Z","title_canon_sha256":"c88e1748b6e34a937ec9dfac208a9a39dbfa7f8d644e3d36d6308b0f144a968b"},"schema_version":"1.0","source":{"id":"1305.1017","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.1017","created_at":"2026-05-18T03:26:11Z"},{"alias_kind":"arxiv_version","alias_value":"1305.1017v2","created_at":"2026-05-18T03:26:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.1017","created_at":"2026-05-18T03:26:11Z"},{"alias_kind":"pith_short_12","alias_value":"CH6ZRIIC27A5","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CH6ZRIIC27A5T3H2","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CH6ZRIIC","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:f762e553a5b5149822bb7c20ee04f6348d9b6cc0a7d010f17a0354e965597f0f","target":"graph","created_at":"2026-05-18T03:26:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Let $q\\geq 2$ and denote by $s_q$ the sum-of-digits function in base $q$. For $j=0,1,...,q-1$ consider $$# \\{0 \\le n < N : \\;\\;s_q(2n) \\equiv j \\pmod q \\}.$$ In 1983, F. M. 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.","authors_text":"Daniel El-Baz, Iurie Boreico, Thomas Stoll","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-05-05T14:49:35Z","title":"On a conjecture of Dekking : The sum of digits of even numbers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1017","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b05f08f245fc85acf82277d738f58f428e46dc58ea27f11e614881e5c50cc1a6","target":"record","created_at":"2026-05-18T03:26:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"045a0f15eee200b4cacc434d684f297fc24c286349a6ce876f618c8c0b0575fd","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-05-05T14:49:35Z","title_canon_sha256":"c88e1748b6e34a937ec9dfac208a9a39dbfa7f8d644e3d36d6308b0f144a968b"},"schema_version":"1.0","source":{"id":"1305.1017","kind":"arxiv","version":2}},"canonical_sha256":"11fd98a102d7c1d9ecfa26deaddcad1e8eb6a3a4b651939778c0e469323658b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11fd98a102d7c1d9ecfa26deaddcad1e8eb6a3a4b651939778c0e469323658b3","first_computed_at":"2026-05-18T03:26:11.849909Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:11.849909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ddiZx/IaqhcfL86XfjARwx5juZAhfUsqDwIzqRavzDypx3imGOnLTHQhMjzzNWkM14yd/dbskKFZfZSSWSppBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:11.850665Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.1017","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b05f08f245fc85acf82277d738f58f428e46dc58ea27f11e614881e5c50cc1a6","sha256:f762e553a5b5149822bb7c20ee04f6348d9b6cc0a7d010f17a0354e965597f0f"],"state_sha256":"16cea932c87bbd3cf4797d4d06e7d8a08c43f9772baf817d29712338736482a8"}