{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:B5FBB6F5FHYLVRMR7MKYLGLRDR","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":"21a1f07fec81b7df8745381d9204089aebd04ecb11ec368a3b4ee9fd9570b146","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-06-25T19:13:03Z","title_canon_sha256":"225ac47e6fe1b025990e9b7d9d2aedaf08edb2fdaf035cc6122311a00b788612"},"schema_version":"1.0","source":{"id":"1806.09670","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.09670","created_at":"2026-05-17T23:58:08Z"},{"alias_kind":"arxiv_version","alias_value":"1806.09670v3","created_at":"2026-05-17T23:58:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.09670","created_at":"2026-05-17T23:58:08Z"},{"alias_kind":"pith_short_12","alias_value":"B5FBB6F5FHYL","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"B5FBB6F5FHYLVRMR","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"B5FBB6F5","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:51a419a7129b1291d8f59e6a87ef79e062c69bc5fbe394918f4d6fe0c44dcb12","target":"graph","created_at":"2026-05-17T23:58:08Z","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 $s_a(n)$ denote the sum of digits of an integer $n$ in the base $a$ expansion. Answering, in a extended form, a question of Deshouillers, Habsieger, Laishram, and Landreau, we show that, provided $a$ and $b$ are multiplicatively independent, any positive real number is a limit point of the sequence $\\{s_b(n)/s_a(n)\\}_{n=1}^{\\infty}$. We also provide upper and lower bounds for the counting functions of the corresponding subsequences.","authors_text":"G\\'erald Tenenbaum, R\\'egis de la Bret\\`eche, Thomas Stoll","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-06-25T19:13:03Z","title":"Somme des chiffres et changement de base"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.09670","kind":"arxiv","version":3},"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":"sha256:1d164f032d9da00816bc29d6cadb482027f16964ffde5d98da83701853ead936","target":"record","created_at":"2026-05-17T23:58:08Z","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":"21a1f07fec81b7df8745381d9204089aebd04ecb11ec368a3b4ee9fd9570b146","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-06-25T19:13:03Z","title_canon_sha256":"225ac47e6fe1b025990e9b7d9d2aedaf08edb2fdaf035cc6122311a00b788612"},"schema_version":"1.0","source":{"id":"1806.09670","kind":"arxiv","version":3}},"canonical_sha256":"0f4a10f8bd29f0bac591fb158599711c7be503365cf6bbf997da1a408046e5a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f4a10f8bd29f0bac591fb158599711c7be503365cf6bbf997da1a408046e5a7","first_computed_at":"2026-05-17T23:58:08.574403Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:08.574403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4I08/pg+GzfOV5mO5kWiPJUIZFxb5H2lUPlPb091Dg+Y2hE+B2fGUYL28lI/IStsf2BUqRuRL0zKtmG1egujAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:08.575024Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.09670","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d164f032d9da00816bc29d6cadb482027f16964ffde5d98da83701853ead936","sha256:51a419a7129b1291d8f59e6a87ef79e062c69bc5fbe394918f4d6fe0c44dcb12"],"state_sha256":"30534f6033ec1b390f59636cdb8820d3b027bb8ae0db0fcca45de45c26ff1a9d"}