{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:4XG22Z5XDNZJAPPW5R2HWNIWQT","short_pith_number":"pith:4XG22Z5X","schema_version":"1.0","canonical_sha256":"e5cdad67b71b72903df6ec747b351684e8828c2e3725da1d47351a4740164e69","source":{"kind":"arxiv","id":"1804.03744","version":2},"attestation_state":"computed","paper":{"title":"Non-Archimedean Replicator Dynamics and Eigen's Paradox","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.PE","authors_text":"W. A. Z\\'u\\~niga-Galindo","submitted_at":"2018-04-10T22:46:55Z","abstract_excerpt":"We present a new non-Archimedean model of evolutionary dynamics, in which the genomes are represented by p-adic numbers. In this model the genomes have a variable length, not necessarily bounded, in contrast with the classical models where the length is fixed. The time evolution of the concentration of a given genome is controlled by a p-adic evolution equation. This equation depends on a fitness function f and on mutation measure Q. By choosing a mutation measure of Gibbs type, and by using a p-adic version of the Maynard Smith Ansatz, we show the existence of threshold function M_{c}(f,Q), s"},"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":"1804.03744","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2018-04-10T22:46:55Z","cross_cats_sorted":[],"title_canon_sha256":"bfd2d9cec27a02c5a4573a493b42d6c125ad21a49c2549007dadf4dab6e1dd1a","abstract_canon_sha256":"5da7f8f5ddb07960c3540f1234b60f7b1ea70310bb17df27a3dcd47f56ef7b0c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:17.420834Z","signature_b64":"10Do0FrEdYRpyTWHCC2eiasHucjzVxh5YIR7f0blN8q8q5TdHge470mpoZEamLeF4AdYfqjy0TIG6ywjE0lEDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5cdad67b71b72903df6ec747b351684e8828c2e3725da1d47351a4740164e69","last_reissued_at":"2026-05-17T23:59:17.420262Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:17.420262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-Archimedean Replicator Dynamics and Eigen's Paradox","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.PE","authors_text":"W. A. Z\\'u\\~niga-Galindo","submitted_at":"2018-04-10T22:46:55Z","abstract_excerpt":"We present a new non-Archimedean model of evolutionary dynamics, in which the genomes are represented by p-adic numbers. In this model the genomes have a variable length, not necessarily bounded, in contrast with the classical models where the length is fixed. The time evolution of the concentration of a given genome is controlled by a p-adic evolution equation. This equation depends on a fitness function f and on mutation measure Q. By choosing a mutation measure of Gibbs type, and by using a p-adic version of the Maynard Smith Ansatz, we show the existence of threshold function M_{c}(f,Q), s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.03744","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":"1804.03744","created_at":"2026-05-17T23:59:17.420389+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.03744v2","created_at":"2026-05-17T23:59:17.420389+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.03744","created_at":"2026-05-17T23:59:17.420389+00:00"},{"alias_kind":"pith_short_12","alias_value":"4XG22Z5XDNZJ","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_16","alias_value":"4XG22Z5XDNZJAPPW","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_8","alias_value":"4XG22Z5X","created_at":"2026-05-18T12:32:05.422762+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/4XG22Z5XDNZJAPPW5R2HWNIWQT","json":"https://pith.science/pith/4XG22Z5XDNZJAPPW5R2HWNIWQT.json","graph_json":"https://pith.science/api/pith-number/4XG22Z5XDNZJAPPW5R2HWNIWQT/graph.json","events_json":"https://pith.science/api/pith-number/4XG22Z5XDNZJAPPW5R2HWNIWQT/events.json","paper":"https://pith.science/paper/4XG22Z5X"},"agent_actions":{"view_html":"https://pith.science/pith/4XG22Z5XDNZJAPPW5R2HWNIWQT","download_json":"https://pith.science/pith/4XG22Z5XDNZJAPPW5R2HWNIWQT.json","view_paper":"https://pith.science/paper/4XG22Z5X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.03744&json=true","fetch_graph":"https://pith.science/api/pith-number/4XG22Z5XDNZJAPPW5R2HWNIWQT/graph.json","fetch_events":"https://pith.science/api/pith-number/4XG22Z5XDNZJAPPW5R2HWNIWQT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4XG22Z5XDNZJAPPW5R2HWNIWQT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4XG22Z5XDNZJAPPW5R2HWNIWQT/action/storage_attestation","attest_author":"https://pith.science/pith/4XG22Z5XDNZJAPPW5R2HWNIWQT/action/author_attestation","sign_citation":"https://pith.science/pith/4XG22Z5XDNZJAPPW5R2HWNIWQT/action/citation_signature","submit_replication":"https://pith.science/pith/4XG22Z5XDNZJAPPW5R2HWNIWQT/action/replication_record"}},"created_at":"2026-05-17T23:59:17.420389+00:00","updated_at":"2026-05-17T23:59:17.420389+00:00"}