{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:RE7PQVVHL4SUAZQQLHXHAY6CTG","short_pith_number":"pith:RE7PQVVH","canonical_record":{"source":{"id":"2406.19563","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2024-06-27T22:36:26Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"74a4ec27a9129642eb092a43d00724c621589a51305542ba880df6c55f1f887a","abstract_canon_sha256":"6ec2b1c5a4db07be20b815c79105841a6693736207c4bbb38c2f32f7a5fab0c1"},"schema_version":"1.0"},"canonical_sha256":"893ef856a75f2540661059ee7063c29997d983a95a4895922b1a82e9596621ff","source":{"kind":"arxiv","id":"2406.19563","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.19563","created_at":"2026-07-05T08:58:45Z"},{"alias_kind":"arxiv_version","alias_value":"2406.19563v2","created_at":"2026-07-05T08:58:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.19563","created_at":"2026-07-05T08:58:45Z"},{"alias_kind":"pith_short_12","alias_value":"RE7PQVVHL4SU","created_at":"2026-07-05T08:58:45Z"},{"alias_kind":"pith_short_16","alias_value":"RE7PQVVHL4SUAZQQ","created_at":"2026-07-05T08:58:45Z"},{"alias_kind":"pith_short_8","alias_value":"RE7PQVVH","created_at":"2026-07-05T08:58:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:RE7PQVVHL4SUAZQQLHXHAY6CTG","target":"record","payload":{"canonical_record":{"source":{"id":"2406.19563","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2024-06-27T22:36:26Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"74a4ec27a9129642eb092a43d00724c621589a51305542ba880df6c55f1f887a","abstract_canon_sha256":"6ec2b1c5a4db07be20b815c79105841a6693736207c4bbb38c2f32f7a5fab0c1"},"schema_version":"1.0"},"canonical_sha256":"893ef856a75f2540661059ee7063c29997d983a95a4895922b1a82e9596621ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:58:45.235424Z","signature_b64":"B86g+V3/NkAPss+WeOqHnzf6nlK0hKYUkiXaf0eKW0AFhGUnVchdqYnAkVmey1jtHqjuw6ViwvOwcxFehyJVDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"893ef856a75f2540661059ee7063c29997d983a95a4895922b1a82e9596621ff","last_reissued_at":"2026-07-05T08:58:45.234969Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:58:45.234969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.19563","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":"2026-07-05T08:58:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K4NOMi9kkFbMwvVp2QO54HxF5XtUhrMuxa3uq3nKJPS+npv3SUCB22ei8cvMkuvh0GhqIXmsGJPnZ5uQiJGVAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T07:59:39.719217Z"},"content_sha256":"8c89f41fe0e11ae02b25ba332e1dea0964e1acf67f3cb8aaf7e867d371b0f887","schema_version":"1.0","event_id":"sha256:8c89f41fe0e11ae02b25ba332e1dea0964e1acf67f3cb8aaf7e867d371b0f887"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:RE7PQVVHL4SUAZQQLHXHAY6CTG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bayesian Rank-Clustering","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["stat.AP"],"primary_cat":"stat.ME","authors_text":"Elena A. Erosheva, Michael Pearce","submitted_at":"2024-06-27T22:36:26Z","abstract_excerpt":"Traditional statistical inference on ordinal comparison data results in an overall ranking of objects, e.g., from best to worst, with each object having a unique rank. However, ranks of some objects may not be statistically distinguishable. This could happen due to insufficient data or to the true underlying object qualities being equal. Because uncertainty communication in estimates of overall rankings is notoriously difficult, we take a different approach and allow groups of objects to have equal ranks or be $\\textit{rank-clustered}$ in our model. Existing models related to rank-clustering a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.19563","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2406.19563/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:58:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b3TH8lGRyfjuB951CbglNUnIY8DSAT+JTYqY9aO3FTGvNOJaTFH6Tp4/ZQTXPWr3rwDRt/1INkk+by61DAbiBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T07:59:39.720101Z"},"content_sha256":"3921f73cb791796a5707ce941ee13a33e0bc3799451bf1f9efb8eb6f0dfa4079","schema_version":"1.0","event_id":"sha256:3921f73cb791796a5707ce941ee13a33e0bc3799451bf1f9efb8eb6f0dfa4079"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RE7PQVVHL4SUAZQQLHXHAY6CTG/bundle.json","state_url":"https://pith.science/pith/RE7PQVVHL4SUAZQQLHXHAY6CTG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RE7PQVVHL4SUAZQQLHXHAY6CTG/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":"2026-08-09T07:59:39Z","links":{"resolver":"https://pith.science/pith/RE7PQVVHL4SUAZQQLHXHAY6CTG","bundle":"https://pith.science/pith/RE7PQVVHL4SUAZQQLHXHAY6CTG/bundle.json","state":"https://pith.science/pith/RE7PQVVHL4SUAZQQLHXHAY6CTG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RE7PQVVHL4SUAZQQLHXHAY6CTG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:RE7PQVVHL4SUAZQQLHXHAY6CTG","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":"6ec2b1c5a4db07be20b815c79105841a6693736207c4bbb38c2f32f7a5fab0c1","cross_cats_sorted":["stat.AP"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2024-06-27T22:36:26Z","title_canon_sha256":"74a4ec27a9129642eb092a43d00724c621589a51305542ba880df6c55f1f887a"},"schema_version":"1.0","source":{"id":"2406.19563","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.19563","created_at":"2026-07-05T08:58:45Z"},{"alias_kind":"arxiv_version","alias_value":"2406.19563v2","created_at":"2026-07-05T08:58:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.19563","created_at":"2026-07-05T08:58:45Z"},{"alias_kind":"pith_short_12","alias_value":"RE7PQVVHL4SU","created_at":"2026-07-05T08:58:45Z"},{"alias_kind":"pith_short_16","alias_value":"RE7PQVVHL4SUAZQQ","created_at":"2026-07-05T08:58:45Z"},{"alias_kind":"pith_short_8","alias_value":"RE7PQVVH","created_at":"2026-07-05T08:58:45Z"}],"graph_snapshots":[{"event_id":"sha256:3921f73cb791796a5707ce941ee13a33e0bc3799451bf1f9efb8eb6f0dfa4079","target":"graph","created_at":"2026-07-05T08:58:45Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2406.19563/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Traditional statistical inference on ordinal comparison data results in an overall ranking of objects, e.g., from best to worst, with each object having a unique rank. However, ranks of some objects may not be statistically distinguishable. This could happen due to insufficient data or to the true underlying object qualities being equal. Because uncertainty communication in estimates of overall rankings is notoriously difficult, we take a different approach and allow groups of objects to have equal ranks or be $\\textit{rank-clustered}$ in our model. Existing models related to rank-clustering a","authors_text":"Elena A. Erosheva, Michael Pearce","cross_cats":["stat.AP"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2024-06-27T22:36:26Z","title":"Bayesian Rank-Clustering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.19563","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":"sha256:8c89f41fe0e11ae02b25ba332e1dea0964e1acf67f3cb8aaf7e867d371b0f887","target":"record","created_at":"2026-07-05T08:58:45Z","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":"6ec2b1c5a4db07be20b815c79105841a6693736207c4bbb38c2f32f7a5fab0c1","cross_cats_sorted":["stat.AP"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2024-06-27T22:36:26Z","title_canon_sha256":"74a4ec27a9129642eb092a43d00724c621589a51305542ba880df6c55f1f887a"},"schema_version":"1.0","source":{"id":"2406.19563","kind":"arxiv","version":2}},"canonical_sha256":"893ef856a75f2540661059ee7063c29997d983a95a4895922b1a82e9596621ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"893ef856a75f2540661059ee7063c29997d983a95a4895922b1a82e9596621ff","first_computed_at":"2026-07-05T08:58:45.234969Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:58:45.234969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B86g+V3/NkAPss+WeOqHnzf6nlK0hKYUkiXaf0eKW0AFhGUnVchdqYnAkVmey1jtHqjuw6ViwvOwcxFehyJVDg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:58:45.235424Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.19563","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c89f41fe0e11ae02b25ba332e1dea0964e1acf67f3cb8aaf7e867d371b0f887","sha256:3921f73cb791796a5707ce941ee13a33e0bc3799451bf1f9efb8eb6f0dfa4079"],"state_sha256":"555e506837584208af73edc080369d03ade9f9d4146863362cc47e30b636d78a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wj+LzBX8qMUj7Hsg18piidbvhYy4p7K5K4Yo77zYsj6yrxZY+VWW9JFTk+avhN/hb7vvqOIs3qtveNuT63QkAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T07:59:39.823916Z","bundle_sha256":"de5ad00c62dabebdf232efdd241d550eb477b331aaf82ed15a2decfbb8ca6ee8"}}