{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:PMJJNIGSUS7QTGCCPPVSQD6ESN","short_pith_number":"pith:PMJJNIGS","schema_version":"1.0","canonical_sha256":"7b1296a0d2a4bf0998427beb280fc49370ac7494e71a52fe2f1e8d5e59954143","source":{"kind":"arxiv","id":"1404.0962","version":2},"attestation_state":"computed","paper":{"title":"Berry-Esseen bounds and multivariate limit theorems for functionals of Rademacher sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Anselm Reichenbachs, Christoph Thaele, Kai Krokowski","submitted_at":"2014-04-03T15:17:28Z","abstract_excerpt":"Berry-Esseen bounds for non-linear functionals of infinite Rademacher sequences are derived by means of the Malliavin-Stein method. Moreover, multivariate extensions for vectors of Rademacher functionals are shown. The results establish a connection to small-ball probabilities and shed new light onto the relation between central limit theorems on the Rademacher chaos and norms of contraction operators. Applications concern infinite weighted 2-runs, a combinatorial central limit theorem and traces of Bernoulli random matrices."},"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":"1404.0962","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-03T15:17:28Z","cross_cats_sorted":[],"title_canon_sha256":"f7a440d5e024dc9a6a5c7f8f57de29563929fc6054e2f0ff06390c268d1af341","abstract_canon_sha256":"7e16899b0c438ef5a2b71c7eb21d88ed6a2f78960e9188a118a018293af1d476"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:24.129556Z","signature_b64":"kTTUH1o3YPDo38BUnPtUNXh3l5m94gyW+C3Au9gN6vgr+wDYbc0jricITOPr1Ty/RZRKSls3fy2T1bqdpsDJDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b1296a0d2a4bf0998427beb280fc49370ac7494e71a52fe2f1e8d5e59954143","last_reissued_at":"2026-05-18T00:31:24.128925Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:24.128925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Berry-Esseen bounds and multivariate limit theorems for functionals of Rademacher sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Anselm Reichenbachs, Christoph Thaele, Kai Krokowski","submitted_at":"2014-04-03T15:17:28Z","abstract_excerpt":"Berry-Esseen bounds for non-linear functionals of infinite Rademacher sequences are derived by means of the Malliavin-Stein method. Moreover, multivariate extensions for vectors of Rademacher functionals are shown. The results establish a connection to small-ball probabilities and shed new light onto the relation between central limit theorems on the Rademacher chaos and norms of contraction operators. Applications concern infinite weighted 2-runs, a combinatorial central limit theorem and traces of Bernoulli random matrices."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0962","kind":"arxiv","version":2},"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":"1404.0962","created_at":"2026-05-18T00:31:24.129018+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.0962v2","created_at":"2026-05-18T00:31:24.129018+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.0962","created_at":"2026-05-18T00:31:24.129018+00:00"},{"alias_kind":"pith_short_12","alias_value":"PMJJNIGSUS7Q","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_16","alias_value":"PMJJNIGSUS7QTGCC","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_8","alias_value":"PMJJNIGS","created_at":"2026-05-18T12:28:43.426989+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/PMJJNIGSUS7QTGCCPPVSQD6ESN","json":"https://pith.science/pith/PMJJNIGSUS7QTGCCPPVSQD6ESN.json","graph_json":"https://pith.science/api/pith-number/PMJJNIGSUS7QTGCCPPVSQD6ESN/graph.json","events_json":"https://pith.science/api/pith-number/PMJJNIGSUS7QTGCCPPVSQD6ESN/events.json","paper":"https://pith.science/paper/PMJJNIGS"},"agent_actions":{"view_html":"https://pith.science/pith/PMJJNIGSUS7QTGCCPPVSQD6ESN","download_json":"https://pith.science/pith/PMJJNIGSUS7QTGCCPPVSQD6ESN.json","view_paper":"https://pith.science/paper/PMJJNIGS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.0962&json=true","fetch_graph":"https://pith.science/api/pith-number/PMJJNIGSUS7QTGCCPPVSQD6ESN/graph.json","fetch_events":"https://pith.science/api/pith-number/PMJJNIGSUS7QTGCCPPVSQD6ESN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PMJJNIGSUS7QTGCCPPVSQD6ESN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PMJJNIGSUS7QTGCCPPVSQD6ESN/action/storage_attestation","attest_author":"https://pith.science/pith/PMJJNIGSUS7QTGCCPPVSQD6ESN/action/author_attestation","sign_citation":"https://pith.science/pith/PMJJNIGSUS7QTGCCPPVSQD6ESN/action/citation_signature","submit_replication":"https://pith.science/pith/PMJJNIGSUS7QTGCCPPVSQD6ESN/action/replication_record"}},"created_at":"2026-05-18T00:31:24.129018+00:00","updated_at":"2026-05-18T00:31:24.129018+00:00"}