{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7BPOOZQFCI3K5IPBPCNQLUNYHJ","short_pith_number":"pith:7BPOOZQF","schema_version":"1.0","canonical_sha256":"f85ee766051236aea1e1789b05d1b83a54b3849940451a6c06ddffd3dd23f234","source":{"kind":"arxiv","id":"1404.7735","version":2},"attestation_state":"computed","paper":{"title":"Validation of Bayesian posterior distributions using a multidimensional Kolmogorov--Smirnov test","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.IM","authors_text":"David Sutton, Diana Harrison, Michael Hobson, Pedro Carvalho","submitted_at":"2014-04-30T14:25:19Z","abstract_excerpt":"We extend the Kolmogorov--Smirnov (K-S) test to multiple dimensions by suggesting a $\\mathbb{R}^n \\rightarrow [0,1]$ mapping based on the probability content of the highest probability density region of the reference distribution under consideration; this mapping reduces the problem back to the one-dimensional case to which the standard K-S test may be applied. The universal character of this mapping also allows us to introduce a simple, yet general, method for the validation of Bayesian posterior distributions of any dimensionality. This new approach goes beyond validating software implementa"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1404.7735","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2014-04-30T14:25:19Z","cross_cats_sorted":[],"title_canon_sha256":"da636a1fdae594326c0fc8c348559266e60b99ffeff4c4eb2fc06294018ecfd4","abstract_canon_sha256":"294ea353e4dab42f42fceda5df84525598946467dbb391d712f03a7e300ce006"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:09:41.899705Z","signature_b64":"klwHOaNGbOV9ecTDbT66BJOcUmR8atztzCeGqmSiApMg/ZOkS1dI3sTV8IAlUP39gXJV8jVNvypLvxxTN5cTDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f85ee766051236aea1e1789b05d1b83a54b3849940451a6c06ddffd3dd23f234","last_reissued_at":"2026-05-18T02:09:41.898886Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:09:41.898886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Validation of Bayesian posterior distributions using a multidimensional Kolmogorov--Smirnov test","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.IM","authors_text":"David Sutton, Diana Harrison, Michael Hobson, Pedro Carvalho","submitted_at":"2014-04-30T14:25:19Z","abstract_excerpt":"We extend the Kolmogorov--Smirnov (K-S) test to multiple dimensions by suggesting a $\\mathbb{R}^n \\rightarrow [0,1]$ mapping based on the probability content of the highest probability density region of the reference distribution under consideration; this mapping reduces the problem back to the one-dimensional case to which the standard K-S test may be applied. The universal character of this mapping also allows us to introduce a simple, yet general, method for the validation of Bayesian posterior distributions of any dimensionality. This new approach goes beyond validating software implementa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7735","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1404.7735","created_at":"2026-05-18T02:09:41.899018+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.7735v2","created_at":"2026-05-18T02:09:41.899018+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7735","created_at":"2026-05-18T02:09:41.899018+00:00"},{"alias_kind":"pith_short_12","alias_value":"7BPOOZQFCI3K","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"7BPOOZQFCI3K5IPB","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"7BPOOZQF","created_at":"2026-05-18T12:28:16.859392+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7BPOOZQFCI3K5IPBPCNQLUNYHJ","json":"https://pith.science/pith/7BPOOZQFCI3K5IPBPCNQLUNYHJ.json","graph_json":"https://pith.science/api/pith-number/7BPOOZQFCI3K5IPBPCNQLUNYHJ/graph.json","events_json":"https://pith.science/api/pith-number/7BPOOZQFCI3K5IPBPCNQLUNYHJ/events.json","paper":"https://pith.science/paper/7BPOOZQF"},"agent_actions":{"view_html":"https://pith.science/pith/7BPOOZQFCI3K5IPBPCNQLUNYHJ","download_json":"https://pith.science/pith/7BPOOZQFCI3K5IPBPCNQLUNYHJ.json","view_paper":"https://pith.science/paper/7BPOOZQF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.7735&json=true","fetch_graph":"https://pith.science/api/pith-number/7BPOOZQFCI3K5IPBPCNQLUNYHJ/graph.json","fetch_events":"https://pith.science/api/pith-number/7BPOOZQFCI3K5IPBPCNQLUNYHJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7BPOOZQFCI3K5IPBPCNQLUNYHJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7BPOOZQFCI3K5IPBPCNQLUNYHJ/action/storage_attestation","attest_author":"https://pith.science/pith/7BPOOZQFCI3K5IPBPCNQLUNYHJ/action/author_attestation","sign_citation":"https://pith.science/pith/7BPOOZQFCI3K5IPBPCNQLUNYHJ/action/citation_signature","submit_replication":"https://pith.science/pith/7BPOOZQFCI3K5IPBPCNQLUNYHJ/action/replication_record"}},"created_at":"2026-05-18T02:09:41.899018+00:00","updated_at":"2026-05-18T02:09:41.899018+00:00"}