{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:VQSVJYUUVGXHIY7GUN3LWHS6VW","short_pith_number":"pith:VQSVJYUU","schema_version":"1.0","canonical_sha256":"ac2554e294a9ae7463e6a376bb1e5ead96546c33732cea34a0a29c4b73da6428","source":{"kind":"arxiv","id":"1808.10809","version":2},"attestation_state":"computed","paper":{"title":"The Evolving Moran Genealogy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"q-bio.PE","authors_text":"Johannes Wirtz, Thomas Wiehe","submitted_at":"2018-08-31T15:34:52Z","abstract_excerpt":"We study the evolution of the population genealogy in the classic neutral Moran Model of finite size and in discrete time. The stochastic transformations that shape a Moran population can be realized directly on its genealogy and give rise to a process with a state space consisting of the finite set of Yule trees of a certain size. We derive a number of properties of this process, and show that they are in agreement with existing results on the infinite-population limit of the Moran Model. Most importantly, this process admits time reversal, which gives rise to another tree-valued Markov Chain"},"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":"1808.10809","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2018-08-31T15:34:52Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"a293f53c57f601e82ae133dedd54d8784588c44c3f11748d3cbd5733b612323b","abstract_canon_sha256":"477b3b1b8a1ef37c4373734c861b53478380a13a4927ae4a7125da690a3775ea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:34.235700Z","signature_b64":"LQ+pb/7bGtX18VMbYzKw5t1DR+I4eEf0hPLRXPXS1TLVNRYVvRHaq+sQ/JpFMLafn9J6Gn5UgXpCFoar7wf/Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac2554e294a9ae7463e6a376bb1e5ead96546c33732cea34a0a29c4b73da6428","last_reissued_at":"2026-05-17T23:54:34.234972Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:34.234972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Evolving Moran Genealogy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"q-bio.PE","authors_text":"Johannes Wirtz, Thomas Wiehe","submitted_at":"2018-08-31T15:34:52Z","abstract_excerpt":"We study the evolution of the population genealogy in the classic neutral Moran Model of finite size and in discrete time. The stochastic transformations that shape a Moran population can be realized directly on its genealogy and give rise to a process with a state space consisting of the finite set of Yule trees of a certain size. We derive a number of properties of this process, and show that they are in agreement with existing results on the infinite-population limit of the Moran Model. Most importantly, this process admits time reversal, which gives rise to another tree-valued Markov Chain"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.10809","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":"1808.10809","created_at":"2026-05-17T23:54:34.235074+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.10809v2","created_at":"2026-05-17T23:54:34.235074+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.10809","created_at":"2026-05-17T23:54:34.235074+00:00"},{"alias_kind":"pith_short_12","alias_value":"VQSVJYUUVGXH","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_16","alias_value":"VQSVJYUUVGXHIY7G","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_8","alias_value":"VQSVJYUU","created_at":"2026-05-18T12:32:59.047623+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/VQSVJYUUVGXHIY7GUN3LWHS6VW","json":"https://pith.science/pith/VQSVJYUUVGXHIY7GUN3LWHS6VW.json","graph_json":"https://pith.science/api/pith-number/VQSVJYUUVGXHIY7GUN3LWHS6VW/graph.json","events_json":"https://pith.science/api/pith-number/VQSVJYUUVGXHIY7GUN3LWHS6VW/events.json","paper":"https://pith.science/paper/VQSVJYUU"},"agent_actions":{"view_html":"https://pith.science/pith/VQSVJYUUVGXHIY7GUN3LWHS6VW","download_json":"https://pith.science/pith/VQSVJYUUVGXHIY7GUN3LWHS6VW.json","view_paper":"https://pith.science/paper/VQSVJYUU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.10809&json=true","fetch_graph":"https://pith.science/api/pith-number/VQSVJYUUVGXHIY7GUN3LWHS6VW/graph.json","fetch_events":"https://pith.science/api/pith-number/VQSVJYUUVGXHIY7GUN3LWHS6VW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VQSVJYUUVGXHIY7GUN3LWHS6VW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VQSVJYUUVGXHIY7GUN3LWHS6VW/action/storage_attestation","attest_author":"https://pith.science/pith/VQSVJYUUVGXHIY7GUN3LWHS6VW/action/author_attestation","sign_citation":"https://pith.science/pith/VQSVJYUUVGXHIY7GUN3LWHS6VW/action/citation_signature","submit_replication":"https://pith.science/pith/VQSVJYUUVGXHIY7GUN3LWHS6VW/action/replication_record"}},"created_at":"2026-05-17T23:54:34.235074+00:00","updated_at":"2026-05-17T23:54:34.235074+00:00"}