{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:RM4AC7UYC23DBR4XTPWHRLSF5O","short_pith_number":"pith:RM4AC7UY","schema_version":"1.0","canonical_sha256":"8b38017e9816b630c7979bec78ae45eba3759d328586c3c1b3788d3b5a2083e4","source":{"kind":"arxiv","id":"1005.0010","version":2},"attestation_state":"computed","paper":{"title":"Limit Theorems for Competitive Density Dependent Population Processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.PE"],"primary_cat":"math.PR","authors_text":"Todd L. Parsons","submitted_at":"2010-04-30T20:08:22Z","abstract_excerpt":"Near the beginning of the century, Wright and Fisher devised an elegant, mathematically tractable model of gene reproduction and replacement that laid the foundation for contemporary population genetics. The Wright-Fisher model and its extensions have given biologists powerful tools of statistical inference that enabled the quantification of genetic drift and selection. Given the utility of these tools, we often forget that their model - for mathematical, and not biological reasons - makes assumptions that are violated in most real-world populations. In this paper, I consider an alternative fr"},"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":"1005.0010","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-04-30T20:08:22Z","cross_cats_sorted":["q-bio.PE"],"title_canon_sha256":"cddda25b7fcae852763a099c5a1ca9b982fce7e02c4cda11aac0b84e84e63e60","abstract_canon_sha256":"91aec9902d2583bdb6b09107aa41c94b9078359c4540e484321d35ae2aedb2e9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:14.170986Z","signature_b64":"rQ8SREOSuxdFCCuxxL/kNwGzpUxv2wArmmJ8F3jfPxEtrC7cxBXmMDrLcZyv3cc1o0lKG0f6Cxdyx3l08UbWAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b38017e9816b630c7979bec78ae45eba3759d328586c3c1b3788d3b5a2083e4","last_reissued_at":"2026-05-18T03:04:14.170365Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:14.170365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Limit Theorems for Competitive Density Dependent Population Processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.PE"],"primary_cat":"math.PR","authors_text":"Todd L. Parsons","submitted_at":"2010-04-30T20:08:22Z","abstract_excerpt":"Near the beginning of the century, Wright and Fisher devised an elegant, mathematically tractable model of gene reproduction and replacement that laid the foundation for contemporary population genetics. The Wright-Fisher model and its extensions have given biologists powerful tools of statistical inference that enabled the quantification of genetic drift and selection. Given the utility of these tools, we often forget that their model - for mathematical, and not biological reasons - makes assumptions that are violated in most real-world populations. In this paper, I consider an alternative fr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.0010","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":"1005.0010","created_at":"2026-05-18T03:04:14.170489+00:00"},{"alias_kind":"arxiv_version","alias_value":"1005.0010v2","created_at":"2026-05-18T03:04:14.170489+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.0010","created_at":"2026-05-18T03:04:14.170489+00:00"},{"alias_kind":"pith_short_12","alias_value":"RM4AC7UYC23D","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_16","alias_value":"RM4AC7UYC23DBR4X","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_8","alias_value":"RM4AC7UY","created_at":"2026-05-18T12:26:13.927090+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/RM4AC7UYC23DBR4XTPWHRLSF5O","json":"https://pith.science/pith/RM4AC7UYC23DBR4XTPWHRLSF5O.json","graph_json":"https://pith.science/api/pith-number/RM4AC7UYC23DBR4XTPWHRLSF5O/graph.json","events_json":"https://pith.science/api/pith-number/RM4AC7UYC23DBR4XTPWHRLSF5O/events.json","paper":"https://pith.science/paper/RM4AC7UY"},"agent_actions":{"view_html":"https://pith.science/pith/RM4AC7UYC23DBR4XTPWHRLSF5O","download_json":"https://pith.science/pith/RM4AC7UYC23DBR4XTPWHRLSF5O.json","view_paper":"https://pith.science/paper/RM4AC7UY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1005.0010&json=true","fetch_graph":"https://pith.science/api/pith-number/RM4AC7UYC23DBR4XTPWHRLSF5O/graph.json","fetch_events":"https://pith.science/api/pith-number/RM4AC7UYC23DBR4XTPWHRLSF5O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RM4AC7UYC23DBR4XTPWHRLSF5O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RM4AC7UYC23DBR4XTPWHRLSF5O/action/storage_attestation","attest_author":"https://pith.science/pith/RM4AC7UYC23DBR4XTPWHRLSF5O/action/author_attestation","sign_citation":"https://pith.science/pith/RM4AC7UYC23DBR4XTPWHRLSF5O/action/citation_signature","submit_replication":"https://pith.science/pith/RM4AC7UYC23DBR4XTPWHRLSF5O/action/replication_record"}},"created_at":"2026-05-18T03:04:14.170489+00:00","updated_at":"2026-05-18T03:04:14.170489+00:00"}