{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HBGQVEAGF6QEDJWE4YXXHPURX3","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":"ad0572fc490977b7fbc72f4be9ddf05dd92b1bd8922bfa3f4f87ac1f0744bff8","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-05-01T14:21:56Z","title_canon_sha256":"eb2eea70c1f37ab2ab65c8c863250c68b9d3c22e2c118eb304eb0ce4dd25bd71"},"schema_version":"1.0","source":{"id":"1305.0179","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0179","created_at":"2026-05-18T02:55:11Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0179v2","created_at":"2026-05-18T02:55:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0179","created_at":"2026-05-18T02:55:11Z"},{"alias_kind":"pith_short_12","alias_value":"HBGQVEAGF6QE","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HBGQVEAGF6QEDJWE","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HBGQVEAG","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:b387e8f73c7759469a3be3c3485231609a07307e043ed4bb63f2a239550612ff","target":"graph","created_at":"2026-05-18T02:55:11Z","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 infinitely-many neutral alleles model extends the celebrated one-parameter version, related to Kingman's distribution, to diffusive two-parameter Poisson-Dirichlet frequencies. Here we investigate the dynamics driving the species heterogeneity underlying the two-parameter model. First we show that a suitable normalization of the number of species is driven by a critical continuous-state branching process with immigration. Secondly, we provide a finite-dimensional construction of the two-parameter model, obtained by means of a sequence of Feller diffusions ","authors_text":"Matteo Ruggiero","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-05-01T14:21:56Z","title":"Species dynamics in the two-parameter Poisson-Dirichlet diffusion model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0179","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":"sha256:9bd3c4774d8b0ed4f64400288647695e08f0319d5c1fb2172e59a1a25c975cac","target":"record","created_at":"2026-05-18T02:55:11Z","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":"ad0572fc490977b7fbc72f4be9ddf05dd92b1bd8922bfa3f4f87ac1f0744bff8","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-05-01T14:21:56Z","title_canon_sha256":"eb2eea70c1f37ab2ab65c8c863250c68b9d3c22e2c118eb304eb0ce4dd25bd71"},"schema_version":"1.0","source":{"id":"1305.0179","kind":"arxiv","version":2}},"canonical_sha256":"384d0a90062fa041a6c4e62f73be91beda70dcc4e0f1852030490651924055dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"384d0a90062fa041a6c4e62f73be91beda70dcc4e0f1852030490651924055dd","first_computed_at":"2026-05-18T02:55:11.395287Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:11.395287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F7+7egqlVt7otaYhqTPoepJdn3a5Ubw1legzsSJY/vlWHewLLRL+SQmMwAXIjI9l8ZCCVUx/o/e3cMd5REVzDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:11.395804Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.0179","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9bd3c4774d8b0ed4f64400288647695e08f0319d5c1fb2172e59a1a25c975cac","sha256:b387e8f73c7759469a3be3c3485231609a07307e043ed4bb63f2a239550612ff"],"state_sha256":"f5af22a6998c110ff7a4e1f8e5219f69685f65cb856f27a052d148a73ed28fc8"}