{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:UVNVXVZ2EQUDQITFCKBX53LDLS","short_pith_number":"pith:UVNVXVZ2","schema_version":"1.0","canonical_sha256":"a55b5bd73a242838226512837eed635c8291d5fd7efe23a6fa62dff196ba54e1","source":{"kind":"arxiv","id":"math/0410169","version":1},"attestation_state":"computed","paper":{"title":"Stein's method, Palm theory and Poisson process approximation","license":"","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Aihua Xia, Louis H. Y. Chen","submitted_at":"2004-10-06T15:44:13Z","abstract_excerpt":"The framework of Stein's method for Poisson process approximation is presented from the point of view of Palm theory, which is used to construct Stein identities and define local dependence. A general result (Theorem \\refimportantproposition) in Poisson process approximation is proved by taking the local approach.\n It is obtained without reference to any particular metric, thereby allowing wider applicability. A Wasserstein pseudometric is introduced for measuring the accuracy of point process approximation. The pseudometric provides a generalization of many metrics used so far, including the "},"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":"math/0410169","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.PR","submitted_at":"2004-10-06T15:44:13Z","cross_cats_sorted":[],"title_canon_sha256":"e879ee97757a190ed14aca926313661c3050da663e48b07e8f2638cd2a1f8b2e","abstract_canon_sha256":"338539feb7769b7d0e43859a1ca7cb7db66be0a6128f974af154181877622095"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:25.772755Z","signature_b64":"TG1tNO6TwJmvoEAxujztP2qG81EcaFeoe7+NoDjEliMrMSK6tvOsoF3Jx3mngmbolWBBO5Y9/x/g6pckhN+5Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a55b5bd73a242838226512837eed635c8291d5fd7efe23a6fa62dff196ba54e1","last_reissued_at":"2026-05-18T01:05:25.772102Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:25.772102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stein's method, Palm theory and Poisson process approximation","license":"","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Aihua Xia, Louis H. Y. Chen","submitted_at":"2004-10-06T15:44:13Z","abstract_excerpt":"The framework of Stein's method for Poisson process approximation is presented from the point of view of Palm theory, which is used to construct Stein identities and define local dependence. A general result (Theorem \\refimportantproposition) in Poisson process approximation is proved by taking the local approach.\n It is obtained without reference to any particular metric, thereby allowing wider applicability. A Wasserstein pseudometric is introduced for measuring the accuracy of point process approximation. The pseudometric provides a generalization of many metrics used so far, including the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0410169","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":"math/0410169","created_at":"2026-05-18T01:05:25.772191+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0410169v1","created_at":"2026-05-18T01:05:25.772191+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0410169","created_at":"2026-05-18T01:05:25.772191+00:00"},{"alias_kind":"pith_short_12","alias_value":"UVNVXVZ2EQUD","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_16","alias_value":"UVNVXVZ2EQUDQITF","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_8","alias_value":"UVNVXVZ2","created_at":"2026-05-18T12:25:52.687210+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/UVNVXVZ2EQUDQITFCKBX53LDLS","json":"https://pith.science/pith/UVNVXVZ2EQUDQITFCKBX53LDLS.json","graph_json":"https://pith.science/api/pith-number/UVNVXVZ2EQUDQITFCKBX53LDLS/graph.json","events_json":"https://pith.science/api/pith-number/UVNVXVZ2EQUDQITFCKBX53LDLS/events.json","paper":"https://pith.science/paper/UVNVXVZ2"},"agent_actions":{"view_html":"https://pith.science/pith/UVNVXVZ2EQUDQITFCKBX53LDLS","download_json":"https://pith.science/pith/UVNVXVZ2EQUDQITFCKBX53LDLS.json","view_paper":"https://pith.science/paper/UVNVXVZ2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0410169&json=true","fetch_graph":"https://pith.science/api/pith-number/UVNVXVZ2EQUDQITFCKBX53LDLS/graph.json","fetch_events":"https://pith.science/api/pith-number/UVNVXVZ2EQUDQITFCKBX53LDLS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UVNVXVZ2EQUDQITFCKBX53LDLS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UVNVXVZ2EQUDQITFCKBX53LDLS/action/storage_attestation","attest_author":"https://pith.science/pith/UVNVXVZ2EQUDQITFCKBX53LDLS/action/author_attestation","sign_citation":"https://pith.science/pith/UVNVXVZ2EQUDQITFCKBX53LDLS/action/citation_signature","submit_replication":"https://pith.science/pith/UVNVXVZ2EQUDQITFCKBX53LDLS/action/replication_record"}},"created_at":"2026-05-18T01:05:25.772191+00:00","updated_at":"2026-05-18T01:05:25.772191+00:00"}