{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:DKZKUCFVOFVZFBMQFCD6FETWKX","short_pith_number":"pith:DKZKUCFV","schema_version":"1.0","canonical_sha256":"1ab2aa08b5716b9285902887e2927655f8fb0eb5aa8b288a2ffbc14e979b8458","source":{"kind":"arxiv","id":"1705.04626","version":1},"attestation_state":"computed","paper":{"title":"On the discrepancy of powers of random variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Dominique Schneider, Nicolas Chenavier","submitted_at":"2017-05-12T15:33:05Z","abstract_excerpt":"Let $(d_n)$ be a sequence of positive numbers and let $(X_n)$ be a sequence of positive independent random variables. We provide an upper bound for the deviation between the distribution of the mantissaes of $(X_n^{d_n})$ and the Benford's law. If $d_n$ goes to infinity at a rate at most polynomial, this deviation converges a.s. to 0 as $N$ goes to infinity."},"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":"1705.04626","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-05-12T15:33:05Z","cross_cats_sorted":[],"title_canon_sha256":"52b09bb8cf24471a845d6ab5b5ddc7ad4148f0474f73bb4000928743a52be0f4","abstract_canon_sha256":"a7e34ec3ee692933628b38aac664fa449c53519d5b58f45bc0dc673d6ac61db9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:37.635615Z","signature_b64":"S1Zr/64pwSfF1OXIxwrkJHJP5YgieLp2HWYiKLdJaq+WYIzTh40PoDRiOffbaBTlTwNigMOdOYUCnHh96l0wAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ab2aa08b5716b9285902887e2927655f8fb0eb5aa8b288a2ffbc14e979b8458","last_reissued_at":"2026-05-18T00:44:37.635197Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:37.635197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the discrepancy of powers of random variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Dominique Schneider, Nicolas Chenavier","submitted_at":"2017-05-12T15:33:05Z","abstract_excerpt":"Let $(d_n)$ be a sequence of positive numbers and let $(X_n)$ be a sequence of positive independent random variables. We provide an upper bound for the deviation between the distribution of the mantissaes of $(X_n^{d_n})$ and the Benford's law. If $d_n$ goes to infinity at a rate at most polynomial, this deviation converges a.s. to 0 as $N$ goes to infinity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04626","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1705.04626","created_at":"2026-05-18T00:44:37.635259+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.04626v1","created_at":"2026-05-18T00:44:37.635259+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04626","created_at":"2026-05-18T00:44:37.635259+00:00"},{"alias_kind":"pith_short_12","alias_value":"DKZKUCFVOFVZ","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"DKZKUCFVOFVZFBMQ","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"DKZKUCFV","created_at":"2026-05-18T12:31:10.602751+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DKZKUCFVOFVZFBMQFCD6FETWKX","json":"https://pith.science/pith/DKZKUCFVOFVZFBMQFCD6FETWKX.json","graph_json":"https://pith.science/api/pith-number/DKZKUCFVOFVZFBMQFCD6FETWKX/graph.json","events_json":"https://pith.science/api/pith-number/DKZKUCFVOFVZFBMQFCD6FETWKX/events.json","paper":"https://pith.science/paper/DKZKUCFV"},"agent_actions":{"view_html":"https://pith.science/pith/DKZKUCFVOFVZFBMQFCD6FETWKX","download_json":"https://pith.science/pith/DKZKUCFVOFVZFBMQFCD6FETWKX.json","view_paper":"https://pith.science/paper/DKZKUCFV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.04626&json=true","fetch_graph":"https://pith.science/api/pith-number/DKZKUCFVOFVZFBMQFCD6FETWKX/graph.json","fetch_events":"https://pith.science/api/pith-number/DKZKUCFVOFVZFBMQFCD6FETWKX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DKZKUCFVOFVZFBMQFCD6FETWKX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DKZKUCFVOFVZFBMQFCD6FETWKX/action/storage_attestation","attest_author":"https://pith.science/pith/DKZKUCFVOFVZFBMQFCD6FETWKX/action/author_attestation","sign_citation":"https://pith.science/pith/DKZKUCFVOFVZFBMQFCD6FETWKX/action/citation_signature","submit_replication":"https://pith.science/pith/DKZKUCFVOFVZFBMQFCD6FETWKX/action/replication_record"}},"created_at":"2026-05-18T00:44:37.635259+00:00","updated_at":"2026-05-18T00:44:37.635259+00:00"}