{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:RXWAG47R75P75D7S3P6Z3ZAWUL","short_pith_number":"pith:RXWAG47R","schema_version":"1.0","canonical_sha256":"8dec0373f1ff5ffe8ff2dbfd9de416a2df9b28e60607f17ab743c1c0e67f3ba3","source":{"kind":"arxiv","id":"1301.4193","version":1},"attestation_state":"computed","paper":{"title":"A Markov chain model of evolution in asexually reproducing populations: insight and analytical tractability in the evolutionary process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"q-bio.PE","authors_text":"Alexander R.A. Anderson, Daniel Nichol, Jacob G. Scott, Jerome L. Paul, Peter Jeavons, Philip K. Maini, Robert A. Gatenby, Robert Bonomo","submitted_at":"2013-01-17T19:25:29Z","abstract_excerpt":"The evolutionary process has been modelled in many ways using both stochastic and deterministic models. We develop an algebraic model of evolution in a population of asexually reproducing organisms in which we represent a stochastic walk in phenotype space, constrained to the edges of an underlying graph representing the genotype, with a time-homogeneous Markov Chain. We show its equivalence to a more standard, explicit stochastic model and show the algebraic model's superiority in computational efficiency. Because of this increase in efficiency, we offer the ability to simulate the evolution "},"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":"1301.4193","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2013-01-17T19:25:29Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"e0935a2a8d1ac58ebc5d7233f7156084a09d324d64db22b4d8adafadcdf25423","abstract_canon_sha256":"2c15ed65c6dbaf45bec04f21b6419688d285f4294b06f8a520375fb647c61f12"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:06.973978Z","signature_b64":"52iJb1p8QbvspzNfeURpQqfKfBz1ufOqI8wewMcK/jRBDcIf69sXP+O/vpRU2cqT0G7QvTDhKPfUshHzPMENBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8dec0373f1ff5ffe8ff2dbfd9de416a2df9b28e60607f17ab743c1c0e67f3ba3","last_reissued_at":"2026-05-18T03:36:06.973065Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:06.973065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Markov chain model of evolution in asexually reproducing populations: insight and analytical tractability in the evolutionary process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"q-bio.PE","authors_text":"Alexander R.A. Anderson, Daniel Nichol, Jacob G. Scott, Jerome L. Paul, Peter Jeavons, Philip K. Maini, Robert A. Gatenby, Robert Bonomo","submitted_at":"2013-01-17T19:25:29Z","abstract_excerpt":"The evolutionary process has been modelled in many ways using both stochastic and deterministic models. We develop an algebraic model of evolution in a population of asexually reproducing organisms in which we represent a stochastic walk in phenotype space, constrained to the edges of an underlying graph representing the genotype, with a time-homogeneous Markov Chain. We show its equivalence to a more standard, explicit stochastic model and show the algebraic model's superiority in computational efficiency. Because of this increase in efficiency, we offer the ability to simulate the evolution "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4193","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":"1301.4193","created_at":"2026-05-18T03:36:06.973216+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.4193v1","created_at":"2026-05-18T03:36:06.973216+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4193","created_at":"2026-05-18T03:36:06.973216+00:00"},{"alias_kind":"pith_short_12","alias_value":"RXWAG47R75P7","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_16","alias_value":"RXWAG47R75P75D7S","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_8","alias_value":"RXWAG47R","created_at":"2026-05-18T12:27:59.945178+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/RXWAG47R75P75D7S3P6Z3ZAWUL","json":"https://pith.science/pith/RXWAG47R75P75D7S3P6Z3ZAWUL.json","graph_json":"https://pith.science/api/pith-number/RXWAG47R75P75D7S3P6Z3ZAWUL/graph.json","events_json":"https://pith.science/api/pith-number/RXWAG47R75P75D7S3P6Z3ZAWUL/events.json","paper":"https://pith.science/paper/RXWAG47R"},"agent_actions":{"view_html":"https://pith.science/pith/RXWAG47R75P75D7S3P6Z3ZAWUL","download_json":"https://pith.science/pith/RXWAG47R75P75D7S3P6Z3ZAWUL.json","view_paper":"https://pith.science/paper/RXWAG47R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.4193&json=true","fetch_graph":"https://pith.science/api/pith-number/RXWAG47R75P75D7S3P6Z3ZAWUL/graph.json","fetch_events":"https://pith.science/api/pith-number/RXWAG47R75P75D7S3P6Z3ZAWUL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RXWAG47R75P75D7S3P6Z3ZAWUL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RXWAG47R75P75D7S3P6Z3ZAWUL/action/storage_attestation","attest_author":"https://pith.science/pith/RXWAG47R75P75D7S3P6Z3ZAWUL/action/author_attestation","sign_citation":"https://pith.science/pith/RXWAG47R75P75D7S3P6Z3ZAWUL/action/citation_signature","submit_replication":"https://pith.science/pith/RXWAG47R75P75D7S3P6Z3ZAWUL/action/replication_record"}},"created_at":"2026-05-18T03:36:06.973216+00:00","updated_at":"2026-05-18T03:36:06.973216+00:00"}