{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:BXH2XYC5E2HKNZAUSQKAO4JOVY","short_pith_number":"pith:BXH2XYC5","canonical_record":{"source":{"id":"1109.3525","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-09-16T04:11:13Z","cross_cats_sorted":[],"title_canon_sha256":"49cd3ae4544340c7d4c3cf2a7fd3f07392bbe5046bfa887e673910db9ad0b62c","abstract_canon_sha256":"e6ab0a55de6cb13ee8948bfcd986e840e6198296ca8f1faa9c9229c94c52a1f3"},"schema_version":"1.0"},"canonical_sha256":"0dcfabe05d268ea6e414941407712eae1cbdcded99e0aa6a965c49e43df41832","source":{"kind":"arxiv","id":"1109.3525","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3525","created_at":"2026-05-18T04:12:56Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3525v1","created_at":"2026-05-18T04:12:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3525","created_at":"2026-05-18T04:12:56Z"},{"alias_kind":"pith_short_12","alias_value":"BXH2XYC5E2HK","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BXH2XYC5E2HKNZAU","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BXH2XYC5","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:BXH2XYC5E2HKNZAUSQKAO4JOVY","target":"record","payload":{"canonical_record":{"source":{"id":"1109.3525","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-09-16T04:11:13Z","cross_cats_sorted":[],"title_canon_sha256":"49cd3ae4544340c7d4c3cf2a7fd3f07392bbe5046bfa887e673910db9ad0b62c","abstract_canon_sha256":"e6ab0a55de6cb13ee8948bfcd986e840e6198296ca8f1faa9c9229c94c52a1f3"},"schema_version":"1.0"},"canonical_sha256":"0dcfabe05d268ea6e414941407712eae1cbdcded99e0aa6a965c49e43df41832","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:56.017834Z","signature_b64":"XF/BIbfSCqdMDUhEYWFhVBkOHbydVBpD0DSt1aQbq2njnK3YzM/psQ6lWCx4km6Gwa4cbBnAeK7ps9OlGg40Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0dcfabe05d268ea6e414941407712eae1cbdcded99e0aa6a965c49e43df41832","last_reissued_at":"2026-05-18T04:12:56.017205Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:56.017205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.3525","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:12:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eVVjxgB+ST88cqzEzo2bmoULGI9ry0iKIYLqriW8F6dcF1wn/SOnXuXjMQEzhVXQrWZ1G+B9xEWNIdDtp6vRDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T02:56:35.736388Z"},"content_sha256":"52254316468fb5796b49c14cb5ab586d727cc130d3e7771920e42c3dc141c977","schema_version":"1.0","event_id":"sha256:52254316468fb5796b49c14cb5ab586d727cc130d3e7771920e42c3dc141c977"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:BXH2XYC5E2HKNZAUSQKAO4JOVY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact coalescent likelihoods for unlinked markers in finite-sites mutation models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.PE","authors_text":"Arindam RoyChoudhury, David Bryant, Joseph Felsenstein, Noah Rosenberg, Remco Bouckaert","submitted_at":"2011-09-16T04:11:13Z","abstract_excerpt":"We derive exact formulae for the allele frequency spectrum under the coalescent with mutation, conditioned on allele counts at some fixed time in the past. We consider unlinked biallelic markers mutating according to a finite sites, or infinite sites, model. This work extends the coalescent theory of unlinked biallelic markers, enabling fast computations of allele frequency spectra in multiple populations. Our results have applications to demographic inference, species tree inference, and the analysis of genetic variation in closely related species more generally."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3525","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:12:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3SwzWmKhRu53+6o3m2PVjvweXY9YmbxRghWIEWiCWuS8LyNad995JEqkok43ZkICK8sAy6bCBU1lGF9os0aCDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T02:56:35.736720Z"},"content_sha256":"17faeda264b0586ed18745161e7f86ce36b71df7d78a540a187aed65fbc19242","schema_version":"1.0","event_id":"sha256:17faeda264b0586ed18745161e7f86ce36b71df7d78a540a187aed65fbc19242"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BXH2XYC5E2HKNZAUSQKAO4JOVY/bundle.json","state_url":"https://pith.science/pith/BXH2XYC5E2HKNZAUSQKAO4JOVY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BXH2XYC5E2HKNZAUSQKAO4JOVY/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":"2026-06-27T02:56:35Z","links":{"resolver":"https://pith.science/pith/BXH2XYC5E2HKNZAUSQKAO4JOVY","bundle":"https://pith.science/pith/BXH2XYC5E2HKNZAUSQKAO4JOVY/bundle.json","state":"https://pith.science/pith/BXH2XYC5E2HKNZAUSQKAO4JOVY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BXH2XYC5E2HKNZAUSQKAO4JOVY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BXH2XYC5E2HKNZAUSQKAO4JOVY","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":"e6ab0a55de6cb13ee8948bfcd986e840e6198296ca8f1faa9c9229c94c52a1f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-09-16T04:11:13Z","title_canon_sha256":"49cd3ae4544340c7d4c3cf2a7fd3f07392bbe5046bfa887e673910db9ad0b62c"},"schema_version":"1.0","source":{"id":"1109.3525","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3525","created_at":"2026-05-18T04:12:56Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3525v1","created_at":"2026-05-18T04:12:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3525","created_at":"2026-05-18T04:12:56Z"},{"alias_kind":"pith_short_12","alias_value":"BXH2XYC5E2HK","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BXH2XYC5E2HKNZAU","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BXH2XYC5","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:17faeda264b0586ed18745161e7f86ce36b71df7d78a540a187aed65fbc19242","target":"graph","created_at":"2026-05-18T04:12:56Z","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":"We derive exact formulae for the allele frequency spectrum under the coalescent with mutation, conditioned on allele counts at some fixed time in the past. We consider unlinked biallelic markers mutating according to a finite sites, or infinite sites, model. This work extends the coalescent theory of unlinked biallelic markers, enabling fast computations of allele frequency spectra in multiple populations. Our results have applications to demographic inference, species tree inference, and the analysis of genetic variation in closely related species more generally.","authors_text":"Arindam RoyChoudhury, David Bryant, Joseph Felsenstein, Noah Rosenberg, Remco Bouckaert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-09-16T04:11:13Z","title":"Exact coalescent likelihoods for unlinked markers in finite-sites mutation models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3525","kind":"arxiv","version":1},"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":"sha256:52254316468fb5796b49c14cb5ab586d727cc130d3e7771920e42c3dc141c977","target":"record","created_at":"2026-05-18T04:12:56Z","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":"e6ab0a55de6cb13ee8948bfcd986e840e6198296ca8f1faa9c9229c94c52a1f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-09-16T04:11:13Z","title_canon_sha256":"49cd3ae4544340c7d4c3cf2a7fd3f07392bbe5046bfa887e673910db9ad0b62c"},"schema_version":"1.0","source":{"id":"1109.3525","kind":"arxiv","version":1}},"canonical_sha256":"0dcfabe05d268ea6e414941407712eae1cbdcded99e0aa6a965c49e43df41832","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0dcfabe05d268ea6e414941407712eae1cbdcded99e0aa6a965c49e43df41832","first_computed_at":"2026-05-18T04:12:56.017205Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:56.017205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XF/BIbfSCqdMDUhEYWFhVBkOHbydVBpD0DSt1aQbq2njnK3YzM/psQ6lWCx4km6Gwa4cbBnAeK7ps9OlGg40Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:56.017834Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.3525","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52254316468fb5796b49c14cb5ab586d727cc130d3e7771920e42c3dc141c977","sha256:17faeda264b0586ed18745161e7f86ce36b71df7d78a540a187aed65fbc19242"],"state_sha256":"8e61cc2c6c841bf2e63c3d8e96c0f37718518305cf4958b101512864d53275c3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zZQ+jBvixmbFpA9/N8lASps8A6rYkraInA8M9C9U2h/wmmxeekG86KNPA1pKAYcycE7Fz184cjsE9ZzH+3bnDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T02:56:35.738520Z","bundle_sha256":"21a7d6e365477bb49113d5cddcab9efbca7b5ee295772688e1e4b23b1a786657"}}