{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:BN33JFRZBLU5H233HDLX6ZDCXZ","short_pith_number":"pith:BN33JFRZ","canonical_record":{"source":{"id":"1409.0642","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2014-09-02T09:35:14Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"16a4b702b59eebd84c898773df4acd98a6e44b9d7669cb43ae29f5f652b04c9f","abstract_canon_sha256":"773f83d75e3835173a0e3e9917dd28cea4b036f839fa4f160ae2f1b089ec2176"},"schema_version":"1.0"},"canonical_sha256":"0b77b496390ae9d3eb7b38d77f6462be7e3a80686bfc0c7a736de37dd5789e73","source":{"kind":"arxiv","id":"1409.0642","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.0642","created_at":"2026-05-18T01:37:07Z"},{"alias_kind":"arxiv_version","alias_value":"1409.0642v2","created_at":"2026-05-18T01:37:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0642","created_at":"2026-05-18T01:37:07Z"},{"alias_kind":"pith_short_12","alias_value":"BN33JFRZBLU5","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BN33JFRZBLU5H233","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BN33JFRZ","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:BN33JFRZBLU5H233HDLX6ZDCXZ","target":"record","payload":{"canonical_record":{"source":{"id":"1409.0642","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2014-09-02T09:35:14Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"16a4b702b59eebd84c898773df4acd98a6e44b9d7669cb43ae29f5f652b04c9f","abstract_canon_sha256":"773f83d75e3835173a0e3e9917dd28cea4b036f839fa4f160ae2f1b089ec2176"},"schema_version":"1.0"},"canonical_sha256":"0b77b496390ae9d3eb7b38d77f6462be7e3a80686bfc0c7a736de37dd5789e73","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:07.807091Z","signature_b64":"gfKPmzcyCnXSQmaeNImkSO9bitn9uTyGXjN4uGbdBHnFnbyIhVXVeHHfoahVR65vk+yr9ZBSwzvORO5QgoeHDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b77b496390ae9d3eb7b38d77f6462be7e3a80686bfc0c7a736de37dd5789e73","last_reissued_at":"2026-05-18T01:37:07.806550Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:07.806550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.0642","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:37:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ToELdI9Q71xaEREYrEeIkpQyCqmZUlDQGDt+YaNKZJ1DKhbKvAbesgjgA4fI41KWQklVjuSvCbaiia4k6YwMCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:11:29.593449Z"},"content_sha256":"aeb339334a771babf96ef9549d2a0621dd0faadc57720cf1ff08bcef774e3908","schema_version":"1.0","event_id":"sha256:aeb339334a771babf96ef9549d2a0621dd0faadc57720cf1ff08bcef774e3908"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:BN33JFRZBLU5H233HDLX6ZDCXZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Looking down in the ancestral selection graph: A probabilistic approach to the common ancestor type distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"q-bio.PE","authors_text":"Anton Wakolbinger, Ellen Baake, Sandra Kluth, Ute Lenz","submitted_at":"2014-09-02T09:35:14Z","abstract_excerpt":"In a (two-type) Wright-Fisher diffusion with directional selection and two-way mutation, let $x$ denote today's frequency of the beneficial type, and given $x$, let $h(x)$ be the probability that, among all individuals of today's population, the individual whose progeny will eventually take over in the population is of the beneficial type. Fearnhead [Fearnhead, P., 2002. The common ancestor at a nonneutral locus. J. Appl. Probab. 39, 38-54] and Taylor [Taylor, J. E., 2007. The common ancestor process for a Wright-Fisher diffusion. Electron. J. Probab. 12, 808-847] obtained a series representat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0642","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:37:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pzFy9Cpw+nl18eb3+j0IM/MZwksOVRdSaecV5vhv6xhAL9XaiD75jYdipBZCK1svkqKV2PMit/FE7E5ru6jbCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:11:29.593787Z"},"content_sha256":"22c5b3c0710a51e527b66a8c20be8bc72433f805a9cd754cf8b1488b525a9a4f","schema_version":"1.0","event_id":"sha256:22c5b3c0710a51e527b66a8c20be8bc72433f805a9cd754cf8b1488b525a9a4f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BN33JFRZBLU5H233HDLX6ZDCXZ/bundle.json","state_url":"https://pith.science/pith/BN33JFRZBLU5H233HDLX6ZDCXZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BN33JFRZBLU5H233HDLX6ZDCXZ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-08T23:11:29Z","links":{"resolver":"https://pith.science/pith/BN33JFRZBLU5H233HDLX6ZDCXZ","bundle":"https://pith.science/pith/BN33JFRZBLU5H233HDLX6ZDCXZ/bundle.json","state":"https://pith.science/pith/BN33JFRZBLU5H233HDLX6ZDCXZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BN33JFRZBLU5H233HDLX6ZDCXZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BN33JFRZBLU5H233HDLX6ZDCXZ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"773f83d75e3835173a0e3e9917dd28cea4b036f839fa4f160ae2f1b089ec2176","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2014-09-02T09:35:14Z","title_canon_sha256":"16a4b702b59eebd84c898773df4acd98a6e44b9d7669cb43ae29f5f652b04c9f"},"schema_version":"1.0","source":{"id":"1409.0642","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.0642","created_at":"2026-05-18T01:37:07Z"},{"alias_kind":"arxiv_version","alias_value":"1409.0642v2","created_at":"2026-05-18T01:37:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0642","created_at":"2026-05-18T01:37:07Z"},{"alias_kind":"pith_short_12","alias_value":"BN33JFRZBLU5","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BN33JFRZBLU5H233","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BN33JFRZ","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:22c5b3c0710a51e527b66a8c20be8bc72433f805a9cd754cf8b1488b525a9a4f","target":"graph","created_at":"2026-05-18T01:37:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In a (two-type) Wright-Fisher diffusion with directional selection and two-way mutation, let $x$ denote today's frequency of the beneficial type, and given $x$, let $h(x)$ be the probability that, among all individuals of today's population, the individual whose progeny will eventually take over in the population is of the beneficial type. Fearnhead [Fearnhead, P., 2002. The common ancestor at a nonneutral locus. J. Appl. Probab. 39, 38-54] and Taylor [Taylor, J. E., 2007. The common ancestor process for a Wright-Fisher diffusion. Electron. J. Probab. 12, 808-847] obtained a series representat","authors_text":"Anton Wakolbinger, Ellen Baake, Sandra Kluth, Ute Lenz","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2014-09-02T09:35:14Z","title":"Looking down in the ancestral selection graph: A probabilistic approach to the common ancestor type distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0642","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:aeb339334a771babf96ef9549d2a0621dd0faadc57720cf1ff08bcef774e3908","target":"record","created_at":"2026-05-18T01:37:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"773f83d75e3835173a0e3e9917dd28cea4b036f839fa4f160ae2f1b089ec2176","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2014-09-02T09:35:14Z","title_canon_sha256":"16a4b702b59eebd84c898773df4acd98a6e44b9d7669cb43ae29f5f652b04c9f"},"schema_version":"1.0","source":{"id":"1409.0642","kind":"arxiv","version":2}},"canonical_sha256":"0b77b496390ae9d3eb7b38d77f6462be7e3a80686bfc0c7a736de37dd5789e73","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b77b496390ae9d3eb7b38d77f6462be7e3a80686bfc0c7a736de37dd5789e73","first_computed_at":"2026-05-18T01:37:07.806550Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:07.806550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gfKPmzcyCnXSQmaeNImkSO9bitn9uTyGXjN4uGbdBHnFnbyIhVXVeHHfoahVR65vk+yr9ZBSwzvORO5QgoeHDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:07.807091Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.0642","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aeb339334a771babf96ef9549d2a0621dd0faadc57720cf1ff08bcef774e3908","sha256:22c5b3c0710a51e527b66a8c20be8bc72433f805a9cd754cf8b1488b525a9a4f"],"state_sha256":"158afda1d533cd763908fdf7a236d92b6c5475dcf7dcd8b6defcc6f7047355a3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5xujjgUfS753td2gvrKduKHXnM8a1QEOlJaOxSnV6k7PDZ4V2PVON9fH6PpzBa82Jab3rZUtAcQaeBA8D55kDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T23:11:29.596329Z","bundle_sha256":"37ac7fb34881e542a7847c6f176ca9d4ef2457c0fb844769a867947d167e5e88"}}