{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:CCZD3VYWTY4SDVGCFAFYJAQ5IK","short_pith_number":"pith:CCZD3VYW","schema_version":"1.0","canonical_sha256":"10b23dd7169e3921d4c2280b84821d4282a3dba8469fb5402b6fd3cd6eeee34a","source":{"kind":"arxiv","id":"1608.05736","version":1},"attestation_state":"computed","paper":{"title":"Weak atomic convergence of finite voter models toward Fleming-Viot processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"J. Theodore Cox, Yu-Ting Chen","submitted_at":"2016-08-19T20:50:28Z","abstract_excerpt":"We consider the empirical measures of multi-type voter models with mutation on large finite sets, and prove their weak atomic convergence in the sense of Ethier and Kurtz (1994) toward a Fleming-Viot process. Convergence in the weak atomic topology is strong enough to answer a line of inquiry raised by Aldous (2013) concerning the distributions of the corresponding entropy processes and diversity processes for types."},"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":"1608.05736","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-19T20:50:28Z","cross_cats_sorted":[],"title_canon_sha256":"da34c74d865d251de94c509a75dda930483972738ba36e39f8131df55c806070","abstract_canon_sha256":"c758306ece3687be2bd6a169a0f6728dca85ce17d852bb79c7203cc4a2f7a56b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:23.370519Z","signature_b64":"j3lKofpfFJwfuaGUmB7g1jsnXk27unWTDo1da/RQj40UmmLUMS5Q1rYdtvZvmOcgvy0f6yl2g1Ic15bq1NaDAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10b23dd7169e3921d4c2280b84821d4282a3dba8469fb5402b6fd3cd6eeee34a","last_reissued_at":"2026-05-18T01:08:23.369719Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:23.369719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Weak atomic convergence of finite voter models toward Fleming-Viot processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"J. Theodore Cox, Yu-Ting Chen","submitted_at":"2016-08-19T20:50:28Z","abstract_excerpt":"We consider the empirical measures of multi-type voter models with mutation on large finite sets, and prove their weak atomic convergence in the sense of Ethier and Kurtz (1994) toward a Fleming-Viot process. Convergence in the weak atomic topology is strong enough to answer a line of inquiry raised by Aldous (2013) concerning the distributions of the corresponding entropy processes and diversity processes for types."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.05736","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1608.05736","created_at":"2026-05-18T01:08:23.369854+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.05736v1","created_at":"2026-05-18T01:08:23.369854+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.05736","created_at":"2026-05-18T01:08:23.369854+00:00"},{"alias_kind":"pith_short_12","alias_value":"CCZD3VYWTY4S","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"CCZD3VYWTY4SDVGC","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"CCZD3VYW","created_at":"2026-05-18T12:30:09.641336+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/CCZD3VYWTY4SDVGCFAFYJAQ5IK","json":"https://pith.science/pith/CCZD3VYWTY4SDVGCFAFYJAQ5IK.json","graph_json":"https://pith.science/api/pith-number/CCZD3VYWTY4SDVGCFAFYJAQ5IK/graph.json","events_json":"https://pith.science/api/pith-number/CCZD3VYWTY4SDVGCFAFYJAQ5IK/events.json","paper":"https://pith.science/paper/CCZD3VYW"},"agent_actions":{"view_html":"https://pith.science/pith/CCZD3VYWTY4SDVGCFAFYJAQ5IK","download_json":"https://pith.science/pith/CCZD3VYWTY4SDVGCFAFYJAQ5IK.json","view_paper":"https://pith.science/paper/CCZD3VYW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.05736&json=true","fetch_graph":"https://pith.science/api/pith-number/CCZD3VYWTY4SDVGCFAFYJAQ5IK/graph.json","fetch_events":"https://pith.science/api/pith-number/CCZD3VYWTY4SDVGCFAFYJAQ5IK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CCZD3VYWTY4SDVGCFAFYJAQ5IK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CCZD3VYWTY4SDVGCFAFYJAQ5IK/action/storage_attestation","attest_author":"https://pith.science/pith/CCZD3VYWTY4SDVGCFAFYJAQ5IK/action/author_attestation","sign_citation":"https://pith.science/pith/CCZD3VYWTY4SDVGCFAFYJAQ5IK/action/citation_signature","submit_replication":"https://pith.science/pith/CCZD3VYWTY4SDVGCFAFYJAQ5IK/action/replication_record"}},"created_at":"2026-05-18T01:08:23.369854+00:00","updated_at":"2026-05-18T01:08:23.369854+00:00"}