{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:Y3F6GYO64XHC2YKERCETTRG6LU","short_pith_number":"pith:Y3F6GYO6","schema_version":"1.0","canonical_sha256":"c6cbe361dee5ce2d6144888939c4de5d036b7372664c14edd41430e83742f1b0","source":{"kind":"arxiv","id":"1404.1161","version":1},"attestation_state":"computed","paper":{"title":"The Probability Distribution for Draws Until First Success Without Replacement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"John Ahlgren","submitted_at":"2014-04-04T06:15:41Z","abstract_excerpt":"We consider the urn setting with two different objects, ``good'' and ``bad'', and analyze the number of draws without replacement until a good object is picked. Although the expected number of draws for this setting is a standard textbook exercise, we compute the variance, and show that this distribution converges to the geometric distribution."},"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":"1404.1161","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-04T06:15:41Z","cross_cats_sorted":[],"title_canon_sha256":"30dc2da57bdb1fd2818f3730bd1ba6eb3578d2cd3e59abc99362393782f9cf2a","abstract_canon_sha256":"2a77c7eced19d3e6a55bc669dcace66d408c47bb8899c64399a86446e8ae285f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:54.070036Z","signature_b64":"ovu3m/Agj3Zy4DQypcsgaJIdszppiNTDSUcvJs+GTmz+hNFQSbOhtWIFulvLLxY9ENAv8ox4/rscfCNgqSXeDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6cbe361dee5ce2d6144888939c4de5d036b7372664c14edd41430e83742f1b0","last_reissued_at":"2026-05-18T02:54:54.069513Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:54.069513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Probability Distribution for Draws Until First Success Without Replacement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"John Ahlgren","submitted_at":"2014-04-04T06:15:41Z","abstract_excerpt":"We consider the urn setting with two different objects, ``good'' and ``bad'', and analyze the number of draws without replacement until a good object is picked. Although the expected number of draws for this setting is a standard textbook exercise, we compute the variance, and show that this distribution converges to the geometric distribution."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1161","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":"1404.1161","created_at":"2026-05-18T02:54:54.069574+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.1161v1","created_at":"2026-05-18T02:54:54.069574+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1161","created_at":"2026-05-18T02:54:54.069574+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y3F6GYO64XHC","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y3F6GYO64XHC2YKE","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y3F6GYO6","created_at":"2026-05-18T12:28:57.508820+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2601.11945","citing_title":"Small-Error Cascaded Group Testing","ref_index":32,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Y3F6GYO64XHC2YKERCETTRG6LU","json":"https://pith.science/pith/Y3F6GYO64XHC2YKERCETTRG6LU.json","graph_json":"https://pith.science/api/pith-number/Y3F6GYO64XHC2YKERCETTRG6LU/graph.json","events_json":"https://pith.science/api/pith-number/Y3F6GYO64XHC2YKERCETTRG6LU/events.json","paper":"https://pith.science/paper/Y3F6GYO6"},"agent_actions":{"view_html":"https://pith.science/pith/Y3F6GYO64XHC2YKERCETTRG6LU","download_json":"https://pith.science/pith/Y3F6GYO64XHC2YKERCETTRG6LU.json","view_paper":"https://pith.science/paper/Y3F6GYO6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.1161&json=true","fetch_graph":"https://pith.science/api/pith-number/Y3F6GYO64XHC2YKERCETTRG6LU/graph.json","fetch_events":"https://pith.science/api/pith-number/Y3F6GYO64XHC2YKERCETTRG6LU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y3F6GYO64XHC2YKERCETTRG6LU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y3F6GYO64XHC2YKERCETTRG6LU/action/storage_attestation","attest_author":"https://pith.science/pith/Y3F6GYO64XHC2YKERCETTRG6LU/action/author_attestation","sign_citation":"https://pith.science/pith/Y3F6GYO64XHC2YKERCETTRG6LU/action/citation_signature","submit_replication":"https://pith.science/pith/Y3F6GYO64XHC2YKERCETTRG6LU/action/replication_record"}},"created_at":"2026-05-18T02:54:54.069574+00:00","updated_at":"2026-05-18T02:54:54.069574+00:00"}