{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PBTWQFQ2KSXJB7RRYQTBCPNVUV","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":"fec376c940eb8bb89feb5e951422126270ee181dd0ce1b46b186e212f16a0d66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-02-04T14:29:19Z","title_canon_sha256":"c909b5adfc4a6ef92a809244b14c5e5e01a6742ddb44c69a92d0f366aea15d68"},"schema_version":"1.0","source":{"id":"1802.01132","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.01132","created_at":"2026-05-17T23:45:53Z"},{"alias_kind":"arxiv_version","alias_value":"1802.01132v1","created_at":"2026-05-17T23:45:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.01132","created_at":"2026-05-17T23:45:53Z"},{"alias_kind":"pith_short_12","alias_value":"PBTWQFQ2KSXJ","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"PBTWQFQ2KSXJB7RR","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"PBTWQFQ2","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:4841c373a098b47a85bd0cefbc63f536cb3a3916e97267eb5754fb2f598b717f","target":"graph","created_at":"2026-05-17T23:45:53Z","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":"We study the genealogy of a solvable population model with $N$ particles on the real line which evolves according to a discrete-time branching process with selection. At each time step, every particle gives birth to children around $a$ times its current position, where $a>0$ is a parameter of the model. Then, the $N$ rightmost new-born children are selected to form the next generation. We show that the genealogical trees of the process converge to those of a Beta coalescent as $N \\to \\infty$. The process we consider can be seen as a toy-model version of a continuous-time branching process with","authors_text":"Aser Cortines, Bastien Mallein","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-02-04T14:29:19Z","title":"The genealogy of an exactly solvable Ornstein-Uhlenbeck type branching process with selection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.01132","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:bf74935c91ea58f5049395a260bea875867534356b916dd631bf4bfaf2602468","target":"record","created_at":"2026-05-17T23:45:53Z","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":"fec376c940eb8bb89feb5e951422126270ee181dd0ce1b46b186e212f16a0d66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-02-04T14:29:19Z","title_canon_sha256":"c909b5adfc4a6ef92a809244b14c5e5e01a6742ddb44c69a92d0f366aea15d68"},"schema_version":"1.0","source":{"id":"1802.01132","kind":"arxiv","version":1}},"canonical_sha256":"786768161a54ae90fe31c426113db5a540c9a90d06c214a9feebc18e650343bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"786768161a54ae90fe31c426113db5a540c9a90d06c214a9feebc18e650343bc","first_computed_at":"2026-05-17T23:45:53.258622Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:53.258622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rfZVYuqqASr+6jRiflAIdEZI4ecyxKzMbE8CBzehbGhdOqtFs9fhM0wip9Eo76Rnj2EGpNj+ljpH/YiUwQ4FBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:53.258976Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.01132","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf74935c91ea58f5049395a260bea875867534356b916dd631bf4bfaf2602468","sha256:4841c373a098b47a85bd0cefbc63f536cb3a3916e97267eb5754fb2f598b717f"],"state_sha256":"dabb1564cceb2e9c4d706004e0629f83167d7d34ab948d9ade7a3401669c3ff0"}