{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:QYEXPNRVJK3M7RA4BQ5UROGEY7","short_pith_number":"pith:QYEXPNRV","canonical_record":{"source":{"id":"1306.2503","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-06-11T12:35:01Z","cross_cats_sorted":[],"title_canon_sha256":"ae17292698290a12127e000bcce781b59d04c2c74115abbbe0fa5d04fad906b9","abstract_canon_sha256":"87a396b7ed7d0ae7e00854a508e39f1fcd863ff033251fb18ecb4edf5b5ccc98"},"schema_version":"1.0"},"canonical_sha256":"860977b6354ab6cfc41c0c3b48b8c4c7e8cea947d2b35bafcd37b7b9d424460a","source":{"kind":"arxiv","id":"1306.2503","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.2503","created_at":"2026-05-18T03:21:11Z"},{"alias_kind":"arxiv_version","alias_value":"1306.2503v1","created_at":"2026-05-18T03:21:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.2503","created_at":"2026-05-18T03:21:11Z"},{"alias_kind":"pith_short_12","alias_value":"QYEXPNRVJK3M","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QYEXPNRVJK3M7RA4","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QYEXPNRV","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:QYEXPNRVJK3M7RA4BQ5UROGEY7","target":"record","payload":{"canonical_record":{"source":{"id":"1306.2503","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-06-11T12:35:01Z","cross_cats_sorted":[],"title_canon_sha256":"ae17292698290a12127e000bcce781b59d04c2c74115abbbe0fa5d04fad906b9","abstract_canon_sha256":"87a396b7ed7d0ae7e00854a508e39f1fcd863ff033251fb18ecb4edf5b5ccc98"},"schema_version":"1.0"},"canonical_sha256":"860977b6354ab6cfc41c0c3b48b8c4c7e8cea947d2b35bafcd37b7b9d424460a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:21:11.256348Z","signature_b64":"LyckWo/Skg1K0wx0n6eljMoBkuF18ktIIfHuG7sc66dSboMAT04/6TtbYyEKzRSCp/90yYpzNIJNoeNWspnRCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"860977b6354ab6cfc41c0c3b48b8c4c7e8cea947d2b35bafcd37b7b9d424460a","last_reissued_at":"2026-05-18T03:21:11.255493Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:21:11.255493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.2503","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":"2026-05-18T03:21:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HjR9bzWMkydb0xbe90aDTjNSuhf7TQqpYlKJZHfPTtxfCQI4gAp1QWVeautN9OqNLLxXyMV5vaF+DtHK+AzVDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:11:09.052900Z"},"content_sha256":"6264b05e50c617fe00b3034a525fa1ce51c761b1973379ebe2e45b5b24b7d6ca","schema_version":"1.0","event_id":"sha256:6264b05e50c617fe00b3034a525fa1ce51c761b1973379ebe2e45b5b24b7d6ca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:QYEXPNRVJK3M7RA4BQ5UROGEY7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Defining Predictive Probability Functions for Species Sampling Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Fernando A. Quintana, Jaeyong Lee, Lorenzo Trippa, Peter M\\\"uller","submitted_at":"2013-06-11T12:35:01Z","abstract_excerpt":"We review the class of species sampling models (SSM). In particular, we investigate the relation between the exchangeable partition probability function (EPPF) and the predictive probability function (PPF). It is straightforward to define a PPF from an EPPF, but the converse is not necessarily true. In this paper we introduce the notion of putative PPFs and show novel conditions for a putative PPF to define an EPPF. We show that all possible PPFs in a certain class have to define (unnormalized) probabilities for cluster membership that are linear in cluster size. We give a new necessary and su"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.2503","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":"2026-05-18T03:21:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uT1eN54Fbv4HBMENCTi03eihgSuLrRnsf/mweZfruspu0K9kzCky64xtB0hNSLDFz1hJOaQef9EIhrjJKyhMAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:11:09.053243Z"},"content_sha256":"535ac3f3a11ea9d4cb148a31dedee26ff3eb44a47c531cbb795b3f5668fae5e8","schema_version":"1.0","event_id":"sha256:535ac3f3a11ea9d4cb148a31dedee26ff3eb44a47c531cbb795b3f5668fae5e8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QYEXPNRVJK3M7RA4BQ5UROGEY7/bundle.json","state_url":"https://pith.science/pith/QYEXPNRVJK3M7RA4BQ5UROGEY7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QYEXPNRVJK3M7RA4BQ5UROGEY7/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":"2026-06-06T20:11:09Z","links":{"resolver":"https://pith.science/pith/QYEXPNRVJK3M7RA4BQ5UROGEY7","bundle":"https://pith.science/pith/QYEXPNRVJK3M7RA4BQ5UROGEY7/bundle.json","state":"https://pith.science/pith/QYEXPNRVJK3M7RA4BQ5UROGEY7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QYEXPNRVJK3M7RA4BQ5UROGEY7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QYEXPNRVJK3M7RA4BQ5UROGEY7","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":"87a396b7ed7d0ae7e00854a508e39f1fcd863ff033251fb18ecb4edf5b5ccc98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-06-11T12:35:01Z","title_canon_sha256":"ae17292698290a12127e000bcce781b59d04c2c74115abbbe0fa5d04fad906b9"},"schema_version":"1.0","source":{"id":"1306.2503","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.2503","created_at":"2026-05-18T03:21:11Z"},{"alias_kind":"arxiv_version","alias_value":"1306.2503v1","created_at":"2026-05-18T03:21:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.2503","created_at":"2026-05-18T03:21:11Z"},{"alias_kind":"pith_short_12","alias_value":"QYEXPNRVJK3M","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QYEXPNRVJK3M7RA4","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QYEXPNRV","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:535ac3f3a11ea9d4cb148a31dedee26ff3eb44a47c531cbb795b3f5668fae5e8","target":"graph","created_at":"2026-05-18T03:21:11Z","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":"We review the class of species sampling models (SSM). In particular, we investigate the relation between the exchangeable partition probability function (EPPF) and the predictive probability function (PPF). It is straightforward to define a PPF from an EPPF, but the converse is not necessarily true. In this paper we introduce the notion of putative PPFs and show novel conditions for a putative PPF to define an EPPF. We show that all possible PPFs in a certain class have to define (unnormalized) probabilities for cluster membership that are linear in cluster size. We give a new necessary and su","authors_text":"Fernando A. Quintana, Jaeyong Lee, Lorenzo Trippa, Peter M\\\"uller","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-06-11T12:35:01Z","title":"Defining Predictive Probability Functions for Species Sampling Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.2503","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":"sha256:6264b05e50c617fe00b3034a525fa1ce51c761b1973379ebe2e45b5b24b7d6ca","target":"record","created_at":"2026-05-18T03:21:11Z","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":"87a396b7ed7d0ae7e00854a508e39f1fcd863ff033251fb18ecb4edf5b5ccc98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-06-11T12:35:01Z","title_canon_sha256":"ae17292698290a12127e000bcce781b59d04c2c74115abbbe0fa5d04fad906b9"},"schema_version":"1.0","source":{"id":"1306.2503","kind":"arxiv","version":1}},"canonical_sha256":"860977b6354ab6cfc41c0c3b48b8c4c7e8cea947d2b35bafcd37b7b9d424460a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"860977b6354ab6cfc41c0c3b48b8c4c7e8cea947d2b35bafcd37b7b9d424460a","first_computed_at":"2026-05-18T03:21:11.255493Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:11.255493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LyckWo/Skg1K0wx0n6eljMoBkuF18ktIIfHuG7sc66dSboMAT04/6TtbYyEKzRSCp/90yYpzNIJNoeNWspnRCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:11.256348Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.2503","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6264b05e50c617fe00b3034a525fa1ce51c761b1973379ebe2e45b5b24b7d6ca","sha256:535ac3f3a11ea9d4cb148a31dedee26ff3eb44a47c531cbb795b3f5668fae5e8"],"state_sha256":"655cd035777e980f6a4c70d08f7a030ac5fa2784015c634a78fc82a41627704d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iZRlGnF+WoBUGgBjqIflgj0m2albL9XAJ0EBnxhUaRIb+A31I+qAHOyVU/Zhjp6krj5UudRp2asxNKseZVhEDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T20:11:09.055161Z","bundle_sha256":"34fb672dff8547857e0426b3b59ec3b250a7caa019714dd77eb4544d360f5b2b"}}