{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:Z4I53VDSHNHW72K6WE57S2GURT","short_pith_number":"pith:Z4I53VDS","schema_version":"1.0","canonical_sha256":"cf11ddd4723b4f6fe95eb13bf968d48ced4d62faf6f9f95e32f156cb8b68ea83","source":{"kind":"arxiv","id":"1303.0159","version":1},"attestation_state":"computed","paper":{"title":"Smoothing effect of Compound Poisson approximation to distribution of weighted sums","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Aiste Elijio, Vydas Cekanavicius","submitted_at":"2013-03-01T12:53:01Z","abstract_excerpt":"The accuracy of compound Poisson approximation to the sum $S=w_1S_1+w_2S_2+...+w_NS_N$ is estimated.\n  Here $S_i$ are sums of independent or weakly dependent random variables, and $w_i$ denote weights. The overall smoothing effect of $S$ on $w_iS_i$ is estimated by L\\' evy concentration function."},"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":"1303.0159","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-03-01T12:53:01Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"a7468f2b92b4d9e1a7cd3a7e1c0f8b1b2387e6d2ee1a370d0f3fe2b169b3a213","abstract_canon_sha256":"6b8f7647f6e637e707eee1d8ec9816d6dfc0b21afa1c96a99252f2f382b31e00"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:06.637261Z","signature_b64":"y1J3xWAW2mijdFzcwVkaCABbPu4234zOqTEl9f18vWEtQl2utaW107y7q1YtYedjfFP0bzN4ehafsP2bj6U/Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf11ddd4723b4f6fe95eb13bf968d48ced4d62faf6f9f95e32f156cb8b68ea83","last_reissued_at":"2026-05-18T03:32:06.636557Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:06.636557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Smoothing effect of Compound Poisson approximation to distribution of weighted sums","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Aiste Elijio, Vydas Cekanavicius","submitted_at":"2013-03-01T12:53:01Z","abstract_excerpt":"The accuracy of compound Poisson approximation to the sum $S=w_1S_1+w_2S_2+...+w_NS_N$ is estimated.\n  Here $S_i$ are sums of independent or weakly dependent random variables, and $w_i$ denote weights. The overall smoothing effect of $S$ on $w_iS_i$ is estimated by L\\' evy concentration function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0159","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":"1303.0159","created_at":"2026-05-18T03:32:06.636658+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.0159v1","created_at":"2026-05-18T03:32:06.636658+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0159","created_at":"2026-05-18T03:32:06.636658+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z4I53VDSHNHW","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z4I53VDSHNHW72K6","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z4I53VDS","created_at":"2026-05-18T12:28:09.283467+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/Z4I53VDSHNHW72K6WE57S2GURT","json":"https://pith.science/pith/Z4I53VDSHNHW72K6WE57S2GURT.json","graph_json":"https://pith.science/api/pith-number/Z4I53VDSHNHW72K6WE57S2GURT/graph.json","events_json":"https://pith.science/api/pith-number/Z4I53VDSHNHW72K6WE57S2GURT/events.json","paper":"https://pith.science/paper/Z4I53VDS"},"agent_actions":{"view_html":"https://pith.science/pith/Z4I53VDSHNHW72K6WE57S2GURT","download_json":"https://pith.science/pith/Z4I53VDSHNHW72K6WE57S2GURT.json","view_paper":"https://pith.science/paper/Z4I53VDS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.0159&json=true","fetch_graph":"https://pith.science/api/pith-number/Z4I53VDSHNHW72K6WE57S2GURT/graph.json","fetch_events":"https://pith.science/api/pith-number/Z4I53VDSHNHW72K6WE57S2GURT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z4I53VDSHNHW72K6WE57S2GURT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z4I53VDSHNHW72K6WE57S2GURT/action/storage_attestation","attest_author":"https://pith.science/pith/Z4I53VDSHNHW72K6WE57S2GURT/action/author_attestation","sign_citation":"https://pith.science/pith/Z4I53VDSHNHW72K6WE57S2GURT/action/citation_signature","submit_replication":"https://pith.science/pith/Z4I53VDSHNHW72K6WE57S2GURT/action/replication_record"}},"created_at":"2026-05-18T03:32:06.636658+00:00","updated_at":"2026-05-18T03:32:06.636658+00:00"}