{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:6I5CTW2LRFBXBLI4S6PGJBJNW4","short_pith_number":"pith:6I5CTW2L","canonical_record":{"source":{"id":"1007.0296","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-07-02T05:10:49Z","cross_cats_sorted":["cs.LG","math.PR","stat.TH"],"title_canon_sha256":"fec2802e220d53bb824004616a82bb4cb5d8277d31d767dec4fc0b79a99ca286","abstract_canon_sha256":"b95d7c0edeb090460d59d285d58b9b5cf0674b2ecd7907a38450c13a12ca893d"},"schema_version":"1.0"},"canonical_sha256":"f23a29db4b894370ad1c979e64852db707091bcd2dc370483213503380d9606e","source":{"kind":"arxiv","id":"1007.0296","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.0296","created_at":"2026-05-18T04:02:13Z"},{"alias_kind":"arxiv_version","alias_value":"1007.0296v2","created_at":"2026-05-18T04:02:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.0296","created_at":"2026-05-18T04:02:13Z"},{"alias_kind":"pith_short_12","alias_value":"6I5CTW2LRFBX","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"6I5CTW2LRFBXBLI4","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"6I5CTW2L","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:6I5CTW2LRFBXBLI4S6PGJBJNW4","target":"record","payload":{"canonical_record":{"source":{"id":"1007.0296","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-07-02T05:10:49Z","cross_cats_sorted":["cs.LG","math.PR","stat.TH"],"title_canon_sha256":"fec2802e220d53bb824004616a82bb4cb5d8277d31d767dec4fc0b79a99ca286","abstract_canon_sha256":"b95d7c0edeb090460d59d285d58b9b5cf0674b2ecd7907a38450c13a12ca893d"},"schema_version":"1.0"},"canonical_sha256":"f23a29db4b894370ad1c979e64852db707091bcd2dc370483213503380d9606e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:02:13.734803Z","signature_b64":"MgwCzSGR7VHpnB2Zs3xQkWdf2GmYgjl1SS9UJmVNJpqRk9LGSzdJVZntaaon24vxGu+NQkgg9f+dWLmi4OK8CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f23a29db4b894370ad1c979e64852db707091bcd2dc370483213503380d9606e","last_reissued_at":"2026-05-18T04:02:13.734221Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:02:13.734221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1007.0296","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":"2026-05-18T04:02:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h+8QYC4uxdaFs0Upail/WTI5/3w0n5B5FuefqJRqIaMzjrumjN5H6MMOLcoT9A+N1EGkHEpzkqkYADTC4hQ7CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:22:53.949347Z"},"content_sha256":"0b76f64972f736c09c71eebdb9a1769089cc0b7b0117ca57301be808a6d0d398","schema_version":"1.0","event_id":"sha256:0b76f64972f736c09c71eebdb9a1769089cc0b7b0117ca57301be808a6d0d398"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:6I5CTW2LRFBXBLI4S6PGJBJNW4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Bayesian View of the Poisson-Dirichlet Process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","math.PR","stat.TH"],"primary_cat":"math.ST","authors_text":"Marcus Hutter, Wray Buntine","submitted_at":"2010-07-02T05:10:49Z","abstract_excerpt":"The two parameter Poisson-Dirichlet Process (PDP), a generalisation of the Dirichlet Process, is increasingly being used for probabilistic modelling in discrete areas such as language technology, bioinformatics, and image analysis. There is a rich literature about the PDP and its derivative distributions such as the Chinese Restaurant Process (CRP). This article reviews some of the basic theory and then the major results needed for Bayesian modelling of discrete problems including details of priors, posteriors and computation.\n  The PDP allows one to build distributions over countable partitio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.0296","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":"2026-05-18T04:02:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dfNI8E6J0iWGoSF32dz9rO5i07s/fDqHahH5yaYM+pztHtqAnE0uMijkA/vTLkoe7B/0V9xxEIJGvQVeD4WAAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:22:53.950059Z"},"content_sha256":"403291e11c4fc7b65b3bf69fd5eb725c9aff34d0855d290eb9589df2bc22798b","schema_version":"1.0","event_id":"sha256:403291e11c4fc7b65b3bf69fd5eb725c9aff34d0855d290eb9589df2bc22798b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6I5CTW2LRFBXBLI4S6PGJBJNW4/bundle.json","state_url":"https://pith.science/pith/6I5CTW2LRFBXBLI4S6PGJBJNW4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6I5CTW2LRFBXBLI4S6PGJBJNW4/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":"2026-05-25T18:22:53Z","links":{"resolver":"https://pith.science/pith/6I5CTW2LRFBXBLI4S6PGJBJNW4","bundle":"https://pith.science/pith/6I5CTW2LRFBXBLI4S6PGJBJNW4/bundle.json","state":"https://pith.science/pith/6I5CTW2LRFBXBLI4S6PGJBJNW4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6I5CTW2LRFBXBLI4S6PGJBJNW4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:6I5CTW2LRFBXBLI4S6PGJBJNW4","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":"b95d7c0edeb090460d59d285d58b9b5cf0674b2ecd7907a38450c13a12ca893d","cross_cats_sorted":["cs.LG","math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-07-02T05:10:49Z","title_canon_sha256":"fec2802e220d53bb824004616a82bb4cb5d8277d31d767dec4fc0b79a99ca286"},"schema_version":"1.0","source":{"id":"1007.0296","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.0296","created_at":"2026-05-18T04:02:13Z"},{"alias_kind":"arxiv_version","alias_value":"1007.0296v2","created_at":"2026-05-18T04:02:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.0296","created_at":"2026-05-18T04:02:13Z"},{"alias_kind":"pith_short_12","alias_value":"6I5CTW2LRFBX","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"6I5CTW2LRFBXBLI4","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"6I5CTW2L","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:403291e11c4fc7b65b3bf69fd5eb725c9aff34d0855d290eb9589df2bc22798b","target":"graph","created_at":"2026-05-18T04:02:13Z","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 two parameter Poisson-Dirichlet Process (PDP), a generalisation of the Dirichlet Process, is increasingly being used for probabilistic modelling in discrete areas such as language technology, bioinformatics, and image analysis. There is a rich literature about the PDP and its derivative distributions such as the Chinese Restaurant Process (CRP). This article reviews some of the basic theory and then the major results needed for Bayesian modelling of discrete problems including details of priors, posteriors and computation.\n  The PDP allows one to build distributions over countable partitio","authors_text":"Marcus Hutter, Wray Buntine","cross_cats":["cs.LG","math.PR","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-07-02T05:10:49Z","title":"A Bayesian View of the Poisson-Dirichlet Process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.0296","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":"sha256:0b76f64972f736c09c71eebdb9a1769089cc0b7b0117ca57301be808a6d0d398","target":"record","created_at":"2026-05-18T04:02:13Z","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":"b95d7c0edeb090460d59d285d58b9b5cf0674b2ecd7907a38450c13a12ca893d","cross_cats_sorted":["cs.LG","math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-07-02T05:10:49Z","title_canon_sha256":"fec2802e220d53bb824004616a82bb4cb5d8277d31d767dec4fc0b79a99ca286"},"schema_version":"1.0","source":{"id":"1007.0296","kind":"arxiv","version":2}},"canonical_sha256":"f23a29db4b894370ad1c979e64852db707091bcd2dc370483213503380d9606e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f23a29db4b894370ad1c979e64852db707091bcd2dc370483213503380d9606e","first_computed_at":"2026-05-18T04:02:13.734221Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:02:13.734221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MgwCzSGR7VHpnB2Zs3xQkWdf2GmYgjl1SS9UJmVNJpqRk9LGSzdJVZntaaon24vxGu+NQkgg9f+dWLmi4OK8CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:02:13.734803Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.0296","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b76f64972f736c09c71eebdb9a1769089cc0b7b0117ca57301be808a6d0d398","sha256:403291e11c4fc7b65b3bf69fd5eb725c9aff34d0855d290eb9589df2bc22798b"],"state_sha256":"19d390ad54b258d3f647b8a115224d177aa92e22c0f006afa8e612ca57303662"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W/DjU4SAD7D6yDyY+9jQUMP1t7kIxSZwik8ecdI+YOC53w6SWelunTOIyH1DSbMlfGX9nElp70aWAS6dun/HBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T18:22:53.954041Z","bundle_sha256":"c4cf969edf3241874fa2c6e19cd7e026a8ae45b33dc4a9b88b2c473dc3292290"}}