{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:E3DIMBJYORS5RMNKPINPIV5IQA","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":"70ba486e4104c60d202ef0745c11fa336c381fb42c2d6f0f92873c1d98dd1f31","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-03-08T11:16:06Z","title_canon_sha256":"daa814f5eb4acf2833756c37b595fe6f983cc44c633acd09d0ede22b8f56b64a"},"schema_version":"1.0","source":{"id":"1303.1953","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1953","created_at":"2026-05-18T02:31:02Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1953v3","created_at":"2026-05-18T02:31:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1953","created_at":"2026-05-18T02:31:02Z"},{"alias_kind":"pith_short_12","alias_value":"E3DIMBJYORS5","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"E3DIMBJYORS5RMNK","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"E3DIMBJY","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:a9b4bb5ab37d85a10f987863acb145bb92fad3854024aac3c67a2979194f5854","target":"graph","created_at":"2026-05-18T02:31:02Z","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":"The goal of this paper is to study the lookdown model with selection in the case of a population containing two types of individuals, with a reproduction model which is dual to the $\\Lambda$-coalescent. In particular we formulate the infinite population \"$\\Lambda$-lookdown model with selection\". When the measure $\\Lambda$ gives no mass to 0, we show that the proportion of one of the two types converges, as the population size $N$ tends to infinity, towards the solution of a stochastic differential equation driven by a Poisson point process. We show that one of the two types fixates in finite t","authors_text":"Boubacar Bah, Etienne Pardoux","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-03-08T11:16:06Z","title":"Lambda-lookdown model with selection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1953","kind":"arxiv","version":3},"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":"sha256:13ae5e44307ebb007d182da06afe3f2ebae7e48f650796aa6a24ec9a4e1daa30","target":"record","created_at":"2026-05-18T02:31:02Z","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":"70ba486e4104c60d202ef0745c11fa336c381fb42c2d6f0f92873c1d98dd1f31","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-03-08T11:16:06Z","title_canon_sha256":"daa814f5eb4acf2833756c37b595fe6f983cc44c633acd09d0ede22b8f56b64a"},"schema_version":"1.0","source":{"id":"1303.1953","kind":"arxiv","version":3}},"canonical_sha256":"26c68605387465d8b1aa7a1af457a88019182d81d9c1bb1640de6bb3a7a77157","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26c68605387465d8b1aa7a1af457a88019182d81d9c1bb1640de6bb3a7a77157","first_computed_at":"2026-05-18T02:31:02.513158Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:02.513158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dsqR3y+/HbO/PS0ygh7X75Ix6Cin+02XWDbilirHtrhdxCaHP8uoPRqEYrV8LxZH7rxNPvlP/B9sw7xC6zJrAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:02.513649Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.1953","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13ae5e44307ebb007d182da06afe3f2ebae7e48f650796aa6a24ec9a4e1daa30","sha256:a9b4bb5ab37d85a10f987863acb145bb92fad3854024aac3c67a2979194f5854"],"state_sha256":"954e67d57374e2ef5860b570bed49e7ca225a483da7375c343a0c920a9eeee04"}