{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:FM5FQIDIOTYPO6C34V4V5YEMU5","short_pith_number":"pith:FM5FQIDI","canonical_record":{"source":{"id":"1404.1781","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-07T13:29:37Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"849d05811426256658aa55c221c70c6f0f608cedd8ccaa2baf63babc35929168","abstract_canon_sha256":"ddccff51be93afd0474b8ac77332c0d1beba18e56cb6098d4c233f04966ef839"},"schema_version":"1.0"},"canonical_sha256":"2b3a58206874f0f7785be5795ee08ca768b322756880f49e04b9b112a60384c5","source":{"kind":"arxiv","id":"1404.1781","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.1781","created_at":"2026-05-18T01:22:08Z"},{"alias_kind":"arxiv_version","alias_value":"1404.1781v2","created_at":"2026-05-18T01:22:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1781","created_at":"2026-05-18T01:22:08Z"},{"alias_kind":"pith_short_12","alias_value":"FM5FQIDIOTYP","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FM5FQIDIOTYPO6C3","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FM5FQIDI","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:FM5FQIDIOTYPO6C34V4V5YEMU5","target":"record","payload":{"canonical_record":{"source":{"id":"1404.1781","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-07T13:29:37Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"849d05811426256658aa55c221c70c6f0f608cedd8ccaa2baf63babc35929168","abstract_canon_sha256":"ddccff51be93afd0474b8ac77332c0d1beba18e56cb6098d4c233f04966ef839"},"schema_version":"1.0"},"canonical_sha256":"2b3a58206874f0f7785be5795ee08ca768b322756880f49e04b9b112a60384c5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:08.656261Z","signature_b64":"StJ3edmp5Ndwx431Hf4QjUarRW/J1IZGD9jJsU6Z0YhzeV/S96XjxgP78PTGKkM5zuXMpc3t0gpDWXNLMvQNBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b3a58206874f0f7785be5795ee08ca768b322756880f49e04b9b112a60384c5","last_reissued_at":"2026-05-18T01:22:08.655773Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:08.655773Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.1781","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":"2026-05-18T01:22:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K08iWmSwWssPoQJ9CKdlwD8YiWU4PnxIBFp7M36py5rbMwJ2w+Fg2CNkQQtaAcqp3X+mMCiIfcrNwYEyu68cDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:25:27.228849Z"},"content_sha256":"2c226d43ff29c947f4c983de98802a2f734077d6e7a7ceb38d972775f870276e","schema_version":"1.0","event_id":"sha256:2c226d43ff29c947f4c983de98802a2f734077d6e7a7ceb38d972775f870276e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:FM5FQIDIOTYPO6C34V4V5YEMU5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inhomogeneous Wright-Fisher construction of two-parameter Poisson-Dirichlet diffusions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"math.PR","authors_text":"Dario Spano', Matteo Ruggiero, Pierpaolo De Blasi","submitted_at":"2014-04-07T13:29:37Z","abstract_excerpt":"The recently introduced two-parameter Poisson-Dirichlet diffusion extends the infinitely-many-neutral-alleles model, related to Kingman's distribution and to Fleming-Viot processes. The role of the additional parameter has been shown to regulate the clustering structure of the population, but is yet to be fully understood in the way it governs the reproductive process. Here we shed some light on these dynamics by providing a finite-population construction, with finitely-many species, of the two-parameter infinite-dimensional diffusion. The costruction is obtained in terms of Wright-Fisher chai"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1781","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":"2026-05-18T01:22:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XSKZn9oQjXw1IZKc3P2+7cMbSMR12Vx0+i1de1WX/qPKW46TVWnOXHy6dGQqRLkPiAndI5+vNcMxXTcshJVRBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:25:27.229207Z"},"content_sha256":"680b822a9970c609c11735f862b535146501265009bf073077a445e4336138ad","schema_version":"1.0","event_id":"sha256:680b822a9970c609c11735f862b535146501265009bf073077a445e4336138ad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FM5FQIDIOTYPO6C34V4V5YEMU5/bundle.json","state_url":"https://pith.science/pith/FM5FQIDIOTYPO6C34V4V5YEMU5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FM5FQIDIOTYPO6C34V4V5YEMU5/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":"2026-05-31T08:25:27Z","links":{"resolver":"https://pith.science/pith/FM5FQIDIOTYPO6C34V4V5YEMU5","bundle":"https://pith.science/pith/FM5FQIDIOTYPO6C34V4V5YEMU5/bundle.json","state":"https://pith.science/pith/FM5FQIDIOTYPO6C34V4V5YEMU5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FM5FQIDIOTYPO6C34V4V5YEMU5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FM5FQIDIOTYPO6C34V4V5YEMU5","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":"ddccff51be93afd0474b8ac77332c0d1beba18e56cb6098d4c233f04966ef839","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-07T13:29:37Z","title_canon_sha256":"849d05811426256658aa55c221c70c6f0f608cedd8ccaa2baf63babc35929168"},"schema_version":"1.0","source":{"id":"1404.1781","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.1781","created_at":"2026-05-18T01:22:08Z"},{"alias_kind":"arxiv_version","alias_value":"1404.1781v2","created_at":"2026-05-18T01:22:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1781","created_at":"2026-05-18T01:22:08Z"},{"alias_kind":"pith_short_12","alias_value":"FM5FQIDIOTYP","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FM5FQIDIOTYPO6C3","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FM5FQIDI","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:680b822a9970c609c11735f862b535146501265009bf073077a445e4336138ad","target":"graph","created_at":"2026-05-18T01:22:08Z","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":"The recently introduced two-parameter Poisson-Dirichlet diffusion extends the infinitely-many-neutral-alleles model, related to Kingman's distribution and to Fleming-Viot processes. The role of the additional parameter has been shown to regulate the clustering structure of the population, but is yet to be fully understood in the way it governs the reproductive process. Here we shed some light on these dynamics by providing a finite-population construction, with finitely-many species, of the two-parameter infinite-dimensional diffusion. The costruction is obtained in terms of Wright-Fisher chai","authors_text":"Dario Spano', Matteo Ruggiero, Pierpaolo De Blasi","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-07T13:29:37Z","title":"Inhomogeneous Wright-Fisher construction of two-parameter Poisson-Dirichlet diffusions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1781","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":"sha256:2c226d43ff29c947f4c983de98802a2f734077d6e7a7ceb38d972775f870276e","target":"record","created_at":"2026-05-18T01:22:08Z","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":"ddccff51be93afd0474b8ac77332c0d1beba18e56cb6098d4c233f04966ef839","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-07T13:29:37Z","title_canon_sha256":"849d05811426256658aa55c221c70c6f0f608cedd8ccaa2baf63babc35929168"},"schema_version":"1.0","source":{"id":"1404.1781","kind":"arxiv","version":2}},"canonical_sha256":"2b3a58206874f0f7785be5795ee08ca768b322756880f49e04b9b112a60384c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b3a58206874f0f7785be5795ee08ca768b322756880f49e04b9b112a60384c5","first_computed_at":"2026-05-18T01:22:08.655773Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:08.655773Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"StJ3edmp5Ndwx431Hf4QjUarRW/J1IZGD9jJsU6Z0YhzeV/S96XjxgP78PTGKkM5zuXMpc3t0gpDWXNLMvQNBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:08.656261Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.1781","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c226d43ff29c947f4c983de98802a2f734077d6e7a7ceb38d972775f870276e","sha256:680b822a9970c609c11735f862b535146501265009bf073077a445e4336138ad"],"state_sha256":"4efb36d37cb679bea212e180386f12a147cfc6ff0334e93eb1dd211fad7623f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WyCeoXlsiiYm8sA4zjqx/j3ylCQ0WkI7bfWwMXzf1u6VdRXiXD/NL9jfTrmwMah7KvbPP3Z2T+G+gVcz9b2+BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T08:25:27.231843Z","bundle_sha256":"fb0a7b21a8ade124ecbcd2a6736a599148022838eb606a2b57a8c991c51c80d2"}}