{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:7Q7WQSFZU6DR6KNL5T75NJFJ53","short_pith_number":"pith:7Q7WQSFZ","schema_version":"1.0","canonical_sha256":"fc3f6848b9a7871f29abecffd6a4a9eee9f13e0cd19f72135a3ef819323b2d74","source":{"kind":"arxiv","id":"2607.21275","version":1},"attestation_state":"computed","paper":{"title":"The acceptance-complement method revisited","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Luc Devroye","submitted_at":"2026-07-23T12:51:56Z","abstract_excerpt":"We revisit the acceptance-complement method in random variate generation and show how it can replace the rejection method in many examples. While the rejection method has geometrically distributed execution times, the acceptance-complement method has a constant (deterministic) run time and qualifies as a ``one-liner''. We show how this method can be used to efficiently generate random variates from several distributions, such as the gamma and beta. In addition, we show that there is an acceptance-complement method that is valid for all log-concave densities with known location of the mode and "},"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":"2607.21275","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.CO","submitted_at":"2026-07-23T12:51:56Z","cross_cats_sorted":[],"title_canon_sha256":"daeb833dceccb33ccf516b7fdf63411033833a48668ed4c75001d71f40bff8b3","abstract_canon_sha256":"f02b4946eb8587ad5c90510ce1252ea44f3cf3a324cd530d50c91d0752e1264c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-24T01:24:23.244222Z","signature_b64":"jA4bKkAP6luasU7XJoeohq34ABMyxzfFtOC6NjbCyFPir9gD8i95igXba87Ho60u5D3umZoH7DJLVmWeBBCIBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc3f6848b9a7871f29abecffd6a4a9eee9f13e0cd19f72135a3ef819323b2d74","last_reissued_at":"2026-07-24T01:24:23.243391Z","signature_status":"signed_v1","first_computed_at":"2026-07-24T01:24:23.243391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The acceptance-complement method revisited","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Luc Devroye","submitted_at":"2026-07-23T12:51:56Z","abstract_excerpt":"We revisit the acceptance-complement method in random variate generation and show how it can replace the rejection method in many examples. While the rejection method has geometrically distributed execution times, the acceptance-complement method has a constant (deterministic) run time and qualifies as a ``one-liner''. We show how this method can be used to efficiently generate random variates from several distributions, such as the gamma and beta. In addition, we show that there is an acceptance-complement method that is valid for all log-concave densities with known location of the mode and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.21275","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.21275/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2607.21275","created_at":"2026-07-24T01:24:23.243821+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.21275v1","created_at":"2026-07-24T01:24:23.243821+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.21275","created_at":"2026-07-24T01:24:23.243821+00:00"},{"alias_kind":"pith_short_12","alias_value":"7Q7WQSFZU6DR","created_at":"2026-07-24T01:24:23.243821+00:00"},{"alias_kind":"pith_short_16","alias_value":"7Q7WQSFZU6DR6KNL","created_at":"2026-07-24T01:24:23.243821+00:00"},{"alias_kind":"pith_short_8","alias_value":"7Q7WQSFZ","created_at":"2026-07-24T01:24:23.243821+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/7Q7WQSFZU6DR6KNL5T75NJFJ53","json":"https://pith.science/pith/7Q7WQSFZU6DR6KNL5T75NJFJ53.json","graph_json":"https://pith.science/api/pith-number/7Q7WQSFZU6DR6KNL5T75NJFJ53/graph.json","events_json":"https://pith.science/api/pith-number/7Q7WQSFZU6DR6KNL5T75NJFJ53/events.json","paper":"https://pith.science/paper/7Q7WQSFZ"},"agent_actions":{"view_html":"https://pith.science/pith/7Q7WQSFZU6DR6KNL5T75NJFJ53","download_json":"https://pith.science/pith/7Q7WQSFZU6DR6KNL5T75NJFJ53.json","view_paper":"https://pith.science/paper/7Q7WQSFZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.21275&json=true","fetch_graph":"https://pith.science/api/pith-number/7Q7WQSFZU6DR6KNL5T75NJFJ53/graph.json","fetch_events":"https://pith.science/api/pith-number/7Q7WQSFZU6DR6KNL5T75NJFJ53/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7Q7WQSFZU6DR6KNL5T75NJFJ53/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7Q7WQSFZU6DR6KNL5T75NJFJ53/action/storage_attestation","attest_author":"https://pith.science/pith/7Q7WQSFZU6DR6KNL5T75NJFJ53/action/author_attestation","sign_citation":"https://pith.science/pith/7Q7WQSFZU6DR6KNL5T75NJFJ53/action/citation_signature","submit_replication":"https://pith.science/pith/7Q7WQSFZU6DR6KNL5T75NJFJ53/action/replication_record"}},"created_at":"2026-07-24T01:24:23.243821+00:00","updated_at":"2026-07-24T01:24:23.243821+00:00"}