{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:F663B3QMEOJQPLNROLMZUFLIXH","short_pith_number":"pith:F663B3QM","canonical_record":{"source":{"id":"1608.00155","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-30T19:07:33Z","cross_cats_sorted":[],"title_canon_sha256":"c93d5c9f22b5b2f0d70587331c86ad919d2de7fa819579771a8abcc1f5a69cd5","abstract_canon_sha256":"d02b05ea61bee26d6f1512502270f9982cf3ed8af830d52dcc320ab523459bb5"},"schema_version":"1.0"},"canonical_sha256":"2fbdb0ee0c239307adb172d99a1568b9d6540be4f931a1491cbf0f0499459830","source":{"kind":"arxiv","id":"1608.00155","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.00155","created_at":"2026-05-18T01:10:12Z"},{"alias_kind":"arxiv_version","alias_value":"1608.00155v1","created_at":"2026-05-18T01:10:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.00155","created_at":"2026-05-18T01:10:12Z"},{"alias_kind":"pith_short_12","alias_value":"F663B3QMEOJQ","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"F663B3QMEOJQPLNR","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"F663B3QM","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:F663B3QMEOJQPLNROLMZUFLIXH","target":"record","payload":{"canonical_record":{"source":{"id":"1608.00155","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-30T19:07:33Z","cross_cats_sorted":[],"title_canon_sha256":"c93d5c9f22b5b2f0d70587331c86ad919d2de7fa819579771a8abcc1f5a69cd5","abstract_canon_sha256":"d02b05ea61bee26d6f1512502270f9982cf3ed8af830d52dcc320ab523459bb5"},"schema_version":"1.0"},"canonical_sha256":"2fbdb0ee0c239307adb172d99a1568b9d6540be4f931a1491cbf0f0499459830","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:12.355364Z","signature_b64":"yaJTto16bDjyHN4UDuR45l1x3EcmiZxZA78nMegOHy6eO35+JDLd/KMXSp2Xjc60XBCkR0sCaonRwfVXuD3XCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2fbdb0ee0c239307adb172d99a1568b9d6540be4f931a1491cbf0f0499459830","last_reissued_at":"2026-05-18T01:10:12.354952Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:12.354952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.00155","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:10:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8j2bQjyEEq90wVuBuNncGBHNkG575D9UkEEKAcL1qrMNpYF9WiYSG2YpZBvCZobxmtqQJV9rjhESIB+K0kY9CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T21:27:55.614965Z"},"content_sha256":"58a81616d24b01327fcd77eeeef1a34089df65056ba6c8acff72d8818c88e7c3","schema_version":"1.0","event_id":"sha256:58a81616d24b01327fcd77eeeef1a34089df65056ba6c8acff72d8818c88e7c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:F663B3QMEOJQPLNROLMZUFLIXH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The coupon collector urn model with unequal probabilities in ecology and evolution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Enmanuelle Lesigne (Universit\\'e Fran\\c{c}ois-Rabelais, France), Institut Universitaire de France Institut de Recherche en Biologie de l'Insecte, J\\'er\\^ome Casas (Universit\\'e Fran\\c{c}ois-Rabelais, Mar\\'ia-Jos\\'e Fern\\'andez-S\\'aez (Universidad de Murcia, Murcia, Noem\\'i Zoroa (Universidad de Murcia, Procopio Zoroa (Universidad de Murcia, Spain), Tours","submitted_at":"2016-07-30T19:07:33Z","abstract_excerpt":"The sequential sampling of populations with unequal probabilities and with replacement in a closed population is a recurrent problem in ecology and evolution. Many of these questions can be reformulated as urn problems, often as special cases of the coupon collector problem, most simply expressed as the number of coupons that must be collected to have a complete set. We aimed to apply the coupon collector model in a comprehensive manner to one example -hosts (balls) being searched (draws) and parasitized (ball color change) by parasitic wasps- to evaluate the influence of differences in sampli"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00155","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:10:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A+E8SKD3C+7BS+VORAma2aHRZ7GOqpeS5Q4cWax3p2Uqui8Q3/u5qWISJkRihaxiClrOTHEPIcyHDGxOMurzDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T21:27:55.615311Z"},"content_sha256":"0d5b1a1b51b69839823844de7609e19e6bed31a178fa29f24a907b007ca77b55","schema_version":"1.0","event_id":"sha256:0d5b1a1b51b69839823844de7609e19e6bed31a178fa29f24a907b007ca77b55"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F663B3QMEOJQPLNROLMZUFLIXH/bundle.json","state_url":"https://pith.science/pith/F663B3QMEOJQPLNROLMZUFLIXH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F663B3QMEOJQPLNROLMZUFLIXH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T21:27:55Z","links":{"resolver":"https://pith.science/pith/F663B3QMEOJQPLNROLMZUFLIXH","bundle":"https://pith.science/pith/F663B3QMEOJQPLNROLMZUFLIXH/bundle.json","state":"https://pith.science/pith/F663B3QMEOJQPLNROLMZUFLIXH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F663B3QMEOJQPLNROLMZUFLIXH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:F663B3QMEOJQPLNROLMZUFLIXH","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":"d02b05ea61bee26d6f1512502270f9982cf3ed8af830d52dcc320ab523459bb5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-30T19:07:33Z","title_canon_sha256":"c93d5c9f22b5b2f0d70587331c86ad919d2de7fa819579771a8abcc1f5a69cd5"},"schema_version":"1.0","source":{"id":"1608.00155","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.00155","created_at":"2026-05-18T01:10:12Z"},{"alias_kind":"arxiv_version","alias_value":"1608.00155v1","created_at":"2026-05-18T01:10:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.00155","created_at":"2026-05-18T01:10:12Z"},{"alias_kind":"pith_short_12","alias_value":"F663B3QMEOJQ","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"F663B3QMEOJQPLNR","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"F663B3QM","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:0d5b1a1b51b69839823844de7609e19e6bed31a178fa29f24a907b007ca77b55","target":"graph","created_at":"2026-05-18T01:10:12Z","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":"The sequential sampling of populations with unequal probabilities and with replacement in a closed population is a recurrent problem in ecology and evolution. Many of these questions can be reformulated as urn problems, often as special cases of the coupon collector problem, most simply expressed as the number of coupons that must be collected to have a complete set. We aimed to apply the coupon collector model in a comprehensive manner to one example -hosts (balls) being searched (draws) and parasitized (ball color change) by parasitic wasps- to evaluate the influence of differences in sampli","authors_text":"Enmanuelle Lesigne (Universit\\'e Fran\\c{c}ois-Rabelais, France), Institut Universitaire de France Institut de Recherche en Biologie de l'Insecte, J\\'er\\^ome Casas (Universit\\'e Fran\\c{c}ois-Rabelais, Mar\\'ia-Jos\\'e Fern\\'andez-S\\'aez (Universidad de Murcia, Murcia, Noem\\'i Zoroa (Universidad de Murcia, Procopio Zoroa (Universidad de Murcia, Spain), Tours","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-30T19:07:33Z","title":"The coupon collector urn model with unequal probabilities in ecology and evolution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00155","kind":"arxiv","version":1},"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":"sha256:58a81616d24b01327fcd77eeeef1a34089df65056ba6c8acff72d8818c88e7c3","target":"record","created_at":"2026-05-18T01:10:12Z","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":"d02b05ea61bee26d6f1512502270f9982cf3ed8af830d52dcc320ab523459bb5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-30T19:07:33Z","title_canon_sha256":"c93d5c9f22b5b2f0d70587331c86ad919d2de7fa819579771a8abcc1f5a69cd5"},"schema_version":"1.0","source":{"id":"1608.00155","kind":"arxiv","version":1}},"canonical_sha256":"2fbdb0ee0c239307adb172d99a1568b9d6540be4f931a1491cbf0f0499459830","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2fbdb0ee0c239307adb172d99a1568b9d6540be4f931a1491cbf0f0499459830","first_computed_at":"2026-05-18T01:10:12.354952Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:12.354952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yaJTto16bDjyHN4UDuR45l1x3EcmiZxZA78nMegOHy6eO35+JDLd/KMXSp2Xjc60XBCkR0sCaonRwfVXuD3XCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:12.355364Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.00155","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58a81616d24b01327fcd77eeeef1a34089df65056ba6c8acff72d8818c88e7c3","sha256:0d5b1a1b51b69839823844de7609e19e6bed31a178fa29f24a907b007ca77b55"],"state_sha256":"2cf1bcfd813e2b6df57961e4f2619ee350e1ba79e4dba9d29a374684bdecea0e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bAnUEKv2+T+UWVh3f3Dc3JbMKJN1uN+JrFpZ66Qb6DCm0X2C1cmUBrs2wiQu4oaIW1KUr36/vq5rIVwVrv6kAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T21:27:55.617268Z","bundle_sha256":"e9fc72ac38c86425205d4f5413c37226192c3f9be0a41a8f28c9ce4cebc48ead"}}