{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:DK25JLTPPGA6YDVJNEJEEPP2TK","short_pith_number":"pith:DK25JLTP","schema_version":"1.0","canonical_sha256":"1ab5d4ae6f7981ec0ea96912423dfa9a821dfff21528fd522d1d9de33361a6d5","source":{"kind":"arxiv","id":"1705.02276","version":3},"attestation_state":"computed","paper":{"title":"Mixing properties and central limit theorem for associated point processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Arnaud Poinas, Bernard Delyon, Fr\\'ed\\'eric Lavancier","submitted_at":"2017-05-05T15:48:43Z","abstract_excerpt":"Positively (resp. negatively) associated point processes are a class of point processes that induce attraction (resp. inhibition) between the points. As an important example, determinantal point processes (DPPs) are negatively associated. We prove $\\alpha$-mixing properties for associated spatial point processes by controlling their $\\alpha$-coefficients in terms of the first two intensity functions. A central limit theorem for functionals of associated point processes is deduced, using both the association and the $\\alpha$-mixing properties. We discuss in detail the case of DPPs, for which we"},"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":"1705.02276","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-05-05T15:48:43Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"9f1e07d203d658354703fbe62e4453c572fd64746232ebf4372332045e4675dd","abstract_canon_sha256":"2b2231987ae130fa33ca22ba86b2855a9406c1329a3342d2e9bf4c982e9ad153"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:08.956221Z","signature_b64":"duaLYNeaAztqkNlbtZAtqf/y+RTyg0qYS7vBBxD4HOqTyNxjlzu3yBSIwGArc0XC6Ri+1LpBrl8cQn3YDLRUDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ab5d4ae6f7981ec0ea96912423dfa9a821dfff21528fd522d1d9de33361a6d5","last_reissued_at":"2026-05-18T00:23:08.955632Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:08.955632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mixing properties and central limit theorem for associated point processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Arnaud Poinas, Bernard Delyon, Fr\\'ed\\'eric Lavancier","submitted_at":"2017-05-05T15:48:43Z","abstract_excerpt":"Positively (resp. negatively) associated point processes are a class of point processes that induce attraction (resp. inhibition) between the points. As an important example, determinantal point processes (DPPs) are negatively associated. We prove $\\alpha$-mixing properties for associated spatial point processes by controlling their $\\alpha$-coefficients in terms of the first two intensity functions. A central limit theorem for functionals of associated point processes is deduced, using both the association and the $\\alpha$-mixing properties. We discuss in detail the case of DPPs, for which we"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.02276","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":"1705.02276","created_at":"2026-05-18T00:23:08.955723+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.02276v3","created_at":"2026-05-18T00:23:08.955723+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.02276","created_at":"2026-05-18T00:23:08.955723+00:00"},{"alias_kind":"pith_short_12","alias_value":"DK25JLTPPGA6","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"DK25JLTPPGA6YDVJ","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"DK25JLTP","created_at":"2026-05-18T12:31:10.602751+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/DK25JLTPPGA6YDVJNEJEEPP2TK","json":"https://pith.science/pith/DK25JLTPPGA6YDVJNEJEEPP2TK.json","graph_json":"https://pith.science/api/pith-number/DK25JLTPPGA6YDVJNEJEEPP2TK/graph.json","events_json":"https://pith.science/api/pith-number/DK25JLTPPGA6YDVJNEJEEPP2TK/events.json","paper":"https://pith.science/paper/DK25JLTP"},"agent_actions":{"view_html":"https://pith.science/pith/DK25JLTPPGA6YDVJNEJEEPP2TK","download_json":"https://pith.science/pith/DK25JLTPPGA6YDVJNEJEEPP2TK.json","view_paper":"https://pith.science/paper/DK25JLTP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.02276&json=true","fetch_graph":"https://pith.science/api/pith-number/DK25JLTPPGA6YDVJNEJEEPP2TK/graph.json","fetch_events":"https://pith.science/api/pith-number/DK25JLTPPGA6YDVJNEJEEPP2TK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DK25JLTPPGA6YDVJNEJEEPP2TK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DK25JLTPPGA6YDVJNEJEEPP2TK/action/storage_attestation","attest_author":"https://pith.science/pith/DK25JLTPPGA6YDVJNEJEEPP2TK/action/author_attestation","sign_citation":"https://pith.science/pith/DK25JLTPPGA6YDVJNEJEEPP2TK/action/citation_signature","submit_replication":"https://pith.science/pith/DK25JLTPPGA6YDVJNEJEEPP2TK/action/replication_record"}},"created_at":"2026-05-18T00:23:08.955723+00:00","updated_at":"2026-05-18T00:23:08.955723+00:00"}