{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:DIZ3GPPN34I6M2LFRKBVT5UUSK","short_pith_number":"pith:DIZ3GPPN","canonical_record":{"source":{"id":"1411.6578","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-11-24T19:18:39Z","cross_cats_sorted":[],"title_canon_sha256":"f817aa7e123572bd855ba7edb5eba76764ede8066d359e11c012567b2f99beff","abstract_canon_sha256":"3307b32f5ff83525f805a61a9b003392eb01115353591a5d5b9b69fbca835a8b"},"schema_version":"1.0"},"canonical_sha256":"1a33b33deddf11e669658a8359f694928f20f827c7b94475071ee0b9cc86cf70","source":{"kind":"arxiv","id":"1411.6578","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6578","created_at":"2026-05-18T02:32:54Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6578v1","created_at":"2026-05-18T02:32:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6578","created_at":"2026-05-18T02:32:54Z"},{"alias_kind":"pith_short_12","alias_value":"DIZ3GPPN34I6","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DIZ3GPPN34I6M2LF","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DIZ3GPPN","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:DIZ3GPPN34I6M2LFRKBVT5UUSK","target":"record","payload":{"canonical_record":{"source":{"id":"1411.6578","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-11-24T19:18:39Z","cross_cats_sorted":[],"title_canon_sha256":"f817aa7e123572bd855ba7edb5eba76764ede8066d359e11c012567b2f99beff","abstract_canon_sha256":"3307b32f5ff83525f805a61a9b003392eb01115353591a5d5b9b69fbca835a8b"},"schema_version":"1.0"},"canonical_sha256":"1a33b33deddf11e669658a8359f694928f20f827c7b94475071ee0b9cc86cf70","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:54.780887Z","signature_b64":"pagKzcDqu0tA7RG2LMvovgU1gCu+BUiTT26fKI7SP+At/6J8vm9SoJw4avu5gMroxwYuEm2m6wqvhFjrWAMuBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a33b33deddf11e669658a8359f694928f20f827c7b94475071ee0b9cc86cf70","last_reissued_at":"2026-05-18T02:32:54.780504Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:54.780504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.6578","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":"2026-05-18T02:32:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f9sWFuN6v2j7uqbFEsSoZvqVeZDbIqI7K+CNMQqRsbd6eCyvv8qoyN+VVWOQAMI+C4/qaha534J5Ycp/bqRJBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T15:24:29.645451Z"},"content_sha256":"fb18f4c7eda92f68bcf27e89e70bf3bef6b63940e66ebebbeb0d6f7c96f128f5","schema_version":"1.0","event_id":"sha256:fb18f4c7eda92f68bcf27e89e70bf3bef6b63940e66ebebbeb0d6f7c96f128f5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:DIZ3GPPN34I6M2LFRKBVT5UUSK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Characterising variation of nonparametric random probability measures using the Kullback-Leibler divergence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Chris Holmes, James Watson, Luis Nieto-Barajas","submitted_at":"2014-11-24T19:18:39Z","abstract_excerpt":"This work studies the variation in Kullback-Leibler divergence between random draws from some popular nonparametric processes and their baseline measure. In particular we focus on the Dirichlet process, the P\\'olya tree and the frequentist and Bayesian bootstrap. The results shed light on the support of these nonparametric processes. Of particular note are results for finite P\\'olya trees that are used to model continuous random probability measures. Our results provide guidance for specifying the parameterisation of the P\\'olya tree process that allows for greater understanding while highligh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6578","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":"2026-05-18T02:32:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"layj0G6MNDow8xx5PI1ji4zkrclFugOPkuY2/D63SK9Q083bMI8cNk0hL/Negu0o0sMw954GKGl2KPNl0VCsCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T15:24:29.646101Z"},"content_sha256":"68841720ff034f9c11f9358b5d8138ca8dd5e7af2c948fdc23cf242a4757877c","schema_version":"1.0","event_id":"sha256:68841720ff034f9c11f9358b5d8138ca8dd5e7af2c948fdc23cf242a4757877c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DIZ3GPPN34I6M2LFRKBVT5UUSK/bundle.json","state_url":"https://pith.science/pith/DIZ3GPPN34I6M2LFRKBVT5UUSK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DIZ3GPPN34I6M2LFRKBVT5UUSK/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":"2026-05-22T15:24:29Z","links":{"resolver":"https://pith.science/pith/DIZ3GPPN34I6M2LFRKBVT5UUSK","bundle":"https://pith.science/pith/DIZ3GPPN34I6M2LFRKBVT5UUSK/bundle.json","state":"https://pith.science/pith/DIZ3GPPN34I6M2LFRKBVT5UUSK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DIZ3GPPN34I6M2LFRKBVT5UUSK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DIZ3GPPN34I6M2LFRKBVT5UUSK","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":"3307b32f5ff83525f805a61a9b003392eb01115353591a5d5b9b69fbca835a8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-11-24T19:18:39Z","title_canon_sha256":"f817aa7e123572bd855ba7edb5eba76764ede8066d359e11c012567b2f99beff"},"schema_version":"1.0","source":{"id":"1411.6578","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6578","created_at":"2026-05-18T02:32:54Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6578v1","created_at":"2026-05-18T02:32:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6578","created_at":"2026-05-18T02:32:54Z"},{"alias_kind":"pith_short_12","alias_value":"DIZ3GPPN34I6","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DIZ3GPPN34I6M2LF","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DIZ3GPPN","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:68841720ff034f9c11f9358b5d8138ca8dd5e7af2c948fdc23cf242a4757877c","target":"graph","created_at":"2026-05-18T02:32:54Z","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":"This work studies the variation in Kullback-Leibler divergence between random draws from some popular nonparametric processes and their baseline measure. In particular we focus on the Dirichlet process, the P\\'olya tree and the frequentist and Bayesian bootstrap. The results shed light on the support of these nonparametric processes. Of particular note are results for finite P\\'olya trees that are used to model continuous random probability measures. Our results provide guidance for specifying the parameterisation of the P\\'olya tree process that allows for greater understanding while highligh","authors_text":"Chris Holmes, James Watson, Luis Nieto-Barajas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-11-24T19:18:39Z","title":"Characterising variation of nonparametric random probability measures using the Kullback-Leibler divergence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6578","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:fb18f4c7eda92f68bcf27e89e70bf3bef6b63940e66ebebbeb0d6f7c96f128f5","target":"record","created_at":"2026-05-18T02:32:54Z","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":"3307b32f5ff83525f805a61a9b003392eb01115353591a5d5b9b69fbca835a8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-11-24T19:18:39Z","title_canon_sha256":"f817aa7e123572bd855ba7edb5eba76764ede8066d359e11c012567b2f99beff"},"schema_version":"1.0","source":{"id":"1411.6578","kind":"arxiv","version":1}},"canonical_sha256":"1a33b33deddf11e669658a8359f694928f20f827c7b94475071ee0b9cc86cf70","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a33b33deddf11e669658a8359f694928f20f827c7b94475071ee0b9cc86cf70","first_computed_at":"2026-05-18T02:32:54.780504Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:54.780504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pagKzcDqu0tA7RG2LMvovgU1gCu+BUiTT26fKI7SP+At/6J8vm9SoJw4avu5gMroxwYuEm2m6wqvhFjrWAMuBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:54.780887Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.6578","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb18f4c7eda92f68bcf27e89e70bf3bef6b63940e66ebebbeb0d6f7c96f128f5","sha256:68841720ff034f9c11f9358b5d8138ca8dd5e7af2c948fdc23cf242a4757877c"],"state_sha256":"21d5f0effd8618d2a7a65ffd2f24bb90172b37ab94805a296d15f7275e9d45de"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gXNuvjBdtizqHNzEr7wkOCTzn4irrrCQMvjSRYLsMJqq3wrM7IxudcrWUpz9xEwp+1ml+sPzfTGHfpiH1bwgDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T15:24:29.649259Z","bundle_sha256":"5a4510780d5b5384e893970a5de58638d88e25946e54d50e63eba9059fa66685"}}