{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:JWRJGDPRNVXYCJT3VMZVVAJOPJ","short_pith_number":"pith:JWRJGDPR","schema_version":"1.0","canonical_sha256":"4da2930df16d6f81267bab335a812e7a7a217dba3a5519bc4a0c7d5647193887","source":{"kind":"arxiv","id":"1207.1605","version":3},"attestation_state":"computed","paper":{"title":"Moderate deviations in Poisson approximation: a first attempt","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Louis H. Y. Chen, Qi-Man Shao, Xiao Fang","submitted_at":"2012-07-06T12:30:46Z","abstract_excerpt":"Poisson approximation using Stein's method has been extensively studied in the literature. The main focus has been on bounding the total variation distance. This paper is a first attempt on moderate deviations in Poisson approximation for right-tail probabilities of sums of dependent indicators. We obtain results under certain general conditions for local dependence as well as for size-bias coupling. These results are then applied to independent indicators, 2-runs, and the matching problem."},"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":"1207.1605","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-07-06T12:30:46Z","cross_cats_sorted":[],"title_canon_sha256":"267cffc8d6229740f4a8a5caa65518797c76f5091c5dc09bcf40fcfacf19499b","abstract_canon_sha256":"799e8abc4c01a8a7ebea73c4179ff09f68881649220bb15903bb863a3e7ffd89"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:32.780360Z","signature_b64":"qyx6iqF1IEICjaFL8UTh8M5Iam/SfUcFr84ksJZU1AIIgBTvaiJZyY12Y3OPQ+wogOLA9QcxhUcciF5NQslCCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4da2930df16d6f81267bab335a812e7a7a217dba3a5519bc4a0c7d5647193887","last_reissued_at":"2026-05-18T03:20:32.779444Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:32.779444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Moderate deviations in Poisson approximation: a first attempt","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Louis H. Y. Chen, Qi-Man Shao, Xiao Fang","submitted_at":"2012-07-06T12:30:46Z","abstract_excerpt":"Poisson approximation using Stein's method has been extensively studied in the literature. The main focus has been on bounding the total variation distance. This paper is a first attempt on moderate deviations in Poisson approximation for right-tail probabilities of sums of dependent indicators. We obtain results under certain general conditions for local dependence as well as for size-bias coupling. These results are then applied to independent indicators, 2-runs, and the matching problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1605","kind":"arxiv","version":3},"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":"1207.1605","created_at":"2026-05-18T03:20:32.779607+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.1605v3","created_at":"2026-05-18T03:20:32.779607+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1605","created_at":"2026-05-18T03:20:32.779607+00:00"},{"alias_kind":"pith_short_12","alias_value":"JWRJGDPRNVXY","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"JWRJGDPRNVXYCJT3","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"JWRJGDPR","created_at":"2026-05-18T12:27:11.947152+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/JWRJGDPRNVXYCJT3VMZVVAJOPJ","json":"https://pith.science/pith/JWRJGDPRNVXYCJT3VMZVVAJOPJ.json","graph_json":"https://pith.science/api/pith-number/JWRJGDPRNVXYCJT3VMZVVAJOPJ/graph.json","events_json":"https://pith.science/api/pith-number/JWRJGDPRNVXYCJT3VMZVVAJOPJ/events.json","paper":"https://pith.science/paper/JWRJGDPR"},"agent_actions":{"view_html":"https://pith.science/pith/JWRJGDPRNVXYCJT3VMZVVAJOPJ","download_json":"https://pith.science/pith/JWRJGDPRNVXYCJT3VMZVVAJOPJ.json","view_paper":"https://pith.science/paper/JWRJGDPR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.1605&json=true","fetch_graph":"https://pith.science/api/pith-number/JWRJGDPRNVXYCJT3VMZVVAJOPJ/graph.json","fetch_events":"https://pith.science/api/pith-number/JWRJGDPRNVXYCJT3VMZVVAJOPJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JWRJGDPRNVXYCJT3VMZVVAJOPJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JWRJGDPRNVXYCJT3VMZVVAJOPJ/action/storage_attestation","attest_author":"https://pith.science/pith/JWRJGDPRNVXYCJT3VMZVVAJOPJ/action/author_attestation","sign_citation":"https://pith.science/pith/JWRJGDPRNVXYCJT3VMZVVAJOPJ/action/citation_signature","submit_replication":"https://pith.science/pith/JWRJGDPRNVXYCJT3VMZVVAJOPJ/action/replication_record"}},"created_at":"2026-05-18T03:20:32.779607+00:00","updated_at":"2026-05-18T03:20:32.779607+00:00"}