{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:MDZZQHIGMSIBNJRV6ZZ2TMLCP3","short_pith_number":"pith:MDZZQHIG","schema_version":"1.0","canonical_sha256":"60f3981d06649016a635f673a9b1627ee83f9dfa1577bba8aef3244ea0bb99d1","source":{"kind":"arxiv","id":"1406.2796","version":3},"attestation_state":"computed","paper":{"title":"Quantifying repulsiveness of determinantal point processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Christophe Ange Napol\\'eon Biscio, Fr\\'ed\\'eric Lavancier","submitted_at":"2014-06-11T07:07:42Z","abstract_excerpt":"Determinantal point processes (DPPs) have recently proved to be a useful class of models in several areas of statistics, including spatial statistics, statistical learning and telecommunications networks. They are models for repulsive (or regular, or inhibitive) point processes, in the sense that nearby points of the process tend to repel each other. We consider two ways to quantify the repulsiveness of a point process, both based on its second-order properties, and we address the question of how repulsive a stationary DPP can be. We determine the most repulsive stationary DPP, when the intens"},"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":"1406.2796","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-06-11T07:07:42Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"a0dd2fe4a83b8ba33729bb4605acd47bb11af1ad29ced6d7d749ed188728ab73","abstract_canon_sha256":"307d739ae48793f68cf454e17dbd396daacd122c2f6eb3b64135f50adb6dcab0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:58.792670Z","signature_b64":"Cn4qvk1hIIYs18wMfBN89OS0zOs7HBzzRjNVmk7FmQfeZbn8q0eFFJH6/dqCKhyjOStWDJn/nfRrdOQMajYgAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60f3981d06649016a635f673a9b1627ee83f9dfa1577bba8aef3244ea0bb99d1","last_reissued_at":"2026-05-18T01:12:58.792326Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:58.792326Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantifying repulsiveness of determinantal point processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Christophe Ange Napol\\'eon Biscio, Fr\\'ed\\'eric Lavancier","submitted_at":"2014-06-11T07:07:42Z","abstract_excerpt":"Determinantal point processes (DPPs) have recently proved to be a useful class of models in several areas of statistics, including spatial statistics, statistical learning and telecommunications networks. They are models for repulsive (or regular, or inhibitive) point processes, in the sense that nearby points of the process tend to repel each other. We consider two ways to quantify the repulsiveness of a point process, both based on its second-order properties, and we address the question of how repulsive a stationary DPP can be. We determine the most repulsive stationary DPP, when the intens"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2796","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":"1406.2796","created_at":"2026-05-18T01:12:58.792385+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.2796v3","created_at":"2026-05-18T01:12:58.792385+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2796","created_at":"2026-05-18T01:12:58.792385+00:00"},{"alias_kind":"pith_short_12","alias_value":"MDZZQHIGMSIB","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"MDZZQHIGMSIBNJRV","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"MDZZQHIG","created_at":"2026-05-18T12:28:38.356838+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/MDZZQHIGMSIBNJRV6ZZ2TMLCP3","json":"https://pith.science/pith/MDZZQHIGMSIBNJRV6ZZ2TMLCP3.json","graph_json":"https://pith.science/api/pith-number/MDZZQHIGMSIBNJRV6ZZ2TMLCP3/graph.json","events_json":"https://pith.science/api/pith-number/MDZZQHIGMSIBNJRV6ZZ2TMLCP3/events.json","paper":"https://pith.science/paper/MDZZQHIG"},"agent_actions":{"view_html":"https://pith.science/pith/MDZZQHIGMSIBNJRV6ZZ2TMLCP3","download_json":"https://pith.science/pith/MDZZQHIGMSIBNJRV6ZZ2TMLCP3.json","view_paper":"https://pith.science/paper/MDZZQHIG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.2796&json=true","fetch_graph":"https://pith.science/api/pith-number/MDZZQHIGMSIBNJRV6ZZ2TMLCP3/graph.json","fetch_events":"https://pith.science/api/pith-number/MDZZQHIGMSIBNJRV6ZZ2TMLCP3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MDZZQHIGMSIBNJRV6ZZ2TMLCP3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MDZZQHIGMSIBNJRV6ZZ2TMLCP3/action/storage_attestation","attest_author":"https://pith.science/pith/MDZZQHIGMSIBNJRV6ZZ2TMLCP3/action/author_attestation","sign_citation":"https://pith.science/pith/MDZZQHIGMSIBNJRV6ZZ2TMLCP3/action/citation_signature","submit_replication":"https://pith.science/pith/MDZZQHIGMSIBNJRV6ZZ2TMLCP3/action/replication_record"}},"created_at":"2026-05-18T01:12:58.792385+00:00","updated_at":"2026-05-18T01:12:58.792385+00:00"}