{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FEMCZPAN5FGZ2TFL5JLZWSN742","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":"bdd83a68eff37d768021b9ac7ec8c98b033efdc03970fa44076ec262de4d4671","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-06T16:07:13Z","title_canon_sha256":"a5283ae7879004b0f6122f0f9738db24b1a535feb914a645241253c99285924f"},"schema_version":"1.0","source":{"id":"1505.01417","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.01417","created_at":"2026-05-18T00:39:40Z"},{"alias_kind":"arxiv_version","alias_value":"1505.01417v3","created_at":"2026-05-18T00:39:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.01417","created_at":"2026-05-18T00:39:40Z"},{"alias_kind":"pith_short_12","alias_value":"FEMCZPAN5FGZ","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"FEMCZPAN5FGZ2TFL","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"FEMCZPAN","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:8efe39cf4dd113219b0533124a8e2128f2dff7109b4862ff20bbe39a55142cf3","target":"graph","created_at":"2026-05-18T00:39:40Z","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":"New bounds on the total variation distance between the law of integer valued functionals of possibly non-symmetric and non-homogeneous infinite Rademacher sequences and the Poisson distribution are established. They are based on a combination of the Chen-Stein method and a discrete version of Malliavin calculus. We give some applications to shifted discrete multiple stochastic integrals.","authors_text":"Kai Krokowski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-06T16:07:13Z","title":"Poisson approximation of Rademacher functionals by the Chen-Stein method and Malliavin calculus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.01417","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:a8a783f5fc91afc40b7e6c5ea44823ea1005d116dbf9148daed5d8b35e59e7d5","target":"record","created_at":"2026-05-18T00:39:40Z","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":"bdd83a68eff37d768021b9ac7ec8c98b033efdc03970fa44076ec262de4d4671","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-06T16:07:13Z","title_canon_sha256":"a5283ae7879004b0f6122f0f9738db24b1a535feb914a645241253c99285924f"},"schema_version":"1.0","source":{"id":"1505.01417","kind":"arxiv","version":3}},"canonical_sha256":"29182cbc0de94d9d4cabea579b49bfe682162568c7a94691a770c7fbb3390df2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29182cbc0de94d9d4cabea579b49bfe682162568c7a94691a770c7fbb3390df2","first_computed_at":"2026-05-18T00:39:40.821930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:40.821930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VB1Bc294PoKFTeL/hjgVhgyhKQhmBgZk5Vy139qadE2as2p3Jt50VMsaNwTwJRAgvWwTpPWySY1htPnHPcPjCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:40.822601Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.01417","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8a783f5fc91afc40b7e6c5ea44823ea1005d116dbf9148daed5d8b35e59e7d5","sha256:8efe39cf4dd113219b0533124a8e2128f2dff7109b4862ff20bbe39a55142cf3"],"state_sha256":"f2a1b00bfb1f2d3311b29b8e3bbcddd366db804b6c6291214abaa5cb6441871a"}