{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:LIFHUNHYVRYG5BGYMIQKSPLVF2","short_pith_number":"pith:LIFHUNHY","schema_version":"1.0","canonical_sha256":"5a0a7a34f8ac706e84d86220a93d752ead34ece61521b2d468b9d0a0abd1e186","source":{"kind":"arxiv","id":"1406.1432","version":2},"attestation_state":"computed","paper":{"title":"The genealogy of a solvable population model under selection with dynamics related to directed polymers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Aser Cortines","submitted_at":"2014-06-05T16:20:01Z","abstract_excerpt":"We consider a stochastic model describing a constant size $N$ population that may be seen as a directed polymer in random medium with $N$ sites in the transverse direction. The population dynamics is governed by a noisy traveling wave equation describing the evolution of the individual fitnesses. We show that under suitable conditions the generations are independent and the model is characterized by an extended Wright-Fisher model, in which the individual $i$ has a random fitness $\\eta_i$ and the joint distribution of offspring $(\\nu_1,\\ldots,\\nu_N)$ is given by a multinomial law with $N$ tria"},"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":"1406.1432","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-06-05T16:20:01Z","cross_cats_sorted":[],"title_canon_sha256":"039fe305b66fac749ee292c738bfa516ff054697d5c0efaf09574418dc2ac99f","abstract_canon_sha256":"a19bd16e6bcfc88dd56ffd0bcb4d1128a42fb6b68c6a0d596381158421916d30"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:58.802061Z","signature_b64":"5nW/3FKNTkNWAe7Q/rLev18Y3+NlhVj4PFJmwu0uffmziXKwyfNn2GdJZDZi+2EtGb8riMARkCBkFUHZZezaCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a0a7a34f8ac706e84d86220a93d752ead34ece61521b2d468b9d0a0abd1e186","last_reissued_at":"2026-05-18T01:12:58.801719Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:58.801719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The genealogy of a solvable population model under selection with dynamics related to directed polymers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Aser Cortines","submitted_at":"2014-06-05T16:20:01Z","abstract_excerpt":"We consider a stochastic model describing a constant size $N$ population that may be seen as a directed polymer in random medium with $N$ sites in the transverse direction. The population dynamics is governed by a noisy traveling wave equation describing the evolution of the individual fitnesses. We show that under suitable conditions the generations are independent and the model is characterized by an extended Wright-Fisher model, in which the individual $i$ has a random fitness $\\eta_i$ and the joint distribution of offspring $(\\nu_1,\\ldots,\\nu_N)$ is given by a multinomial law with $N$ tria"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1432","kind":"arxiv","version":2},"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":"1406.1432","created_at":"2026-05-18T01:12:58.801778+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.1432v2","created_at":"2026-05-18T01:12:58.801778+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1432","created_at":"2026-05-18T01:12:58.801778+00:00"},{"alias_kind":"pith_short_12","alias_value":"LIFHUNHYVRYG","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"LIFHUNHYVRYG5BGY","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"LIFHUNHY","created_at":"2026-05-18T12:28:38.356838+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LIFHUNHYVRYG5BGYMIQKSPLVF2","json":"https://pith.science/pith/LIFHUNHYVRYG5BGYMIQKSPLVF2.json","graph_json":"https://pith.science/api/pith-number/LIFHUNHYVRYG5BGYMIQKSPLVF2/graph.json","events_json":"https://pith.science/api/pith-number/LIFHUNHYVRYG5BGYMIQKSPLVF2/events.json","paper":"https://pith.science/paper/LIFHUNHY"},"agent_actions":{"view_html":"https://pith.science/pith/LIFHUNHYVRYG5BGYMIQKSPLVF2","download_json":"https://pith.science/pith/LIFHUNHYVRYG5BGYMIQKSPLVF2.json","view_paper":"https://pith.science/paper/LIFHUNHY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.1432&json=true","fetch_graph":"https://pith.science/api/pith-number/LIFHUNHYVRYG5BGYMIQKSPLVF2/graph.json","fetch_events":"https://pith.science/api/pith-number/LIFHUNHYVRYG5BGYMIQKSPLVF2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LIFHUNHYVRYG5BGYMIQKSPLVF2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LIFHUNHYVRYG5BGYMIQKSPLVF2/action/storage_attestation","attest_author":"https://pith.science/pith/LIFHUNHYVRYG5BGYMIQKSPLVF2/action/author_attestation","sign_citation":"https://pith.science/pith/LIFHUNHYVRYG5BGYMIQKSPLVF2/action/citation_signature","submit_replication":"https://pith.science/pith/LIFHUNHYVRYG5BGYMIQKSPLVF2/action/replication_record"}},"created_at":"2026-05-18T01:12:58.801778+00:00","updated_at":"2026-05-18T01:12:58.801778+00:00"}