{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YO6GLOS2GWPCBN6WP37IFSZ7GT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ff7a956e4e14ad170e345a56c9b8afefbdfa0e658e483da2bda49ed61fb5a33c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-09-12T17:01:33Z","title_canon_sha256":"7d2b4d1ba8b5f88e799a5067423953a40f9263203d17ac907a2662e23e3b9f00"},"schema_version":"1.0","source":{"id":"1209.2667","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.2667","created_at":"2026-05-18T03:44:02Z"},{"alias_kind":"arxiv_version","alias_value":"1209.2667v2","created_at":"2026-05-18T03:44:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.2667","created_at":"2026-05-18T03:44:02Z"},{"alias_kind":"pith_short_12","alias_value":"YO6GLOS2GWPC","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YO6GLOS2GWPCBN6W","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YO6GLOS2","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:c8c3edadbd8b47e32148e1e2775aa37b0d02727f6c0e92d68403d1583067ff12","target":"graph","created_at":"2026-05-18T03:44:02Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this note we evaluate the expected waiting time to complete a collection of coupons, in the case of coupons which arrives in groups of constant size, independently and with unequal probabilities. As an application we will be able to determine the expected number of samples of dimension g that we have to draw independently in order to observe all the types of individuals in a given population.","authors_text":"Marco Ferrante, Nadia Frigo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-09-12T17:01:33Z","title":"A note on the coupon - collector's problem with multiple arrivals and the random sampling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.2667","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6008bb5409fd7e46bed799a69da204c73d25a4475ee620a3b3dc5d1c2595fd61","target":"record","created_at":"2026-05-18T03:44:02Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ff7a956e4e14ad170e345a56c9b8afefbdfa0e658e483da2bda49ed61fb5a33c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-09-12T17:01:33Z","title_canon_sha256":"7d2b4d1ba8b5f88e799a5067423953a40f9263203d17ac907a2662e23e3b9f00"},"schema_version":"1.0","source":{"id":"1209.2667","kind":"arxiv","version":2}},"canonical_sha256":"c3bc65ba5a359e20b7d67efe82cb3f34d7dba215a943060f5427e29efe0bc0a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3bc65ba5a359e20b7d67efe82cb3f34d7dba215a943060f5427e29efe0bc0a8","first_computed_at":"2026-05-18T03:44:02.096664Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:02.096664Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4FlU/JPwG42R6g4uvTaeT5Vtp32Juq/hKAu6j8eG+eIZP3mv8puGM+WnfKxQjFjNwqkT4cKsIbf4OGUhxBJxDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:02.097480Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.2667","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6008bb5409fd7e46bed799a69da204c73d25a4475ee620a3b3dc5d1c2595fd61","sha256:c8c3edadbd8b47e32148e1e2775aa37b0d02727f6c0e92d68403d1583067ff12"],"state_sha256":"0b1bedb242da2863ff94f13dc79f15285c9e18317eb69a8a935ec3c6d7651239"}