{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:NTVUUIAQ6AKOGRIGCL2EJYHMTF","short_pith_number":"pith:NTVUUIAQ","canonical_record":{"source":{"id":"1506.00829","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-06-02T10:24:46Z","cross_cats_sorted":[],"title_canon_sha256":"0a2363d1709ff0d395b88a9408cf23d08eed9afc61c79ead8c9b3ba507d787be","abstract_canon_sha256":"9f8281409abf119a007beb56d98b8796bedd37515899677a08df6cddaac42ff1"},"schema_version":"1.0"},"canonical_sha256":"6ceb4a2010f014e3450612f444e0ec9949446526345bebd6d2b0b6b847a5e2b3","source":{"kind":"arxiv","id":"1506.00829","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.00829","created_at":"2026-05-18T01:15:00Z"},{"alias_kind":"arxiv_version","alias_value":"1506.00829v2","created_at":"2026-05-18T01:15:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00829","created_at":"2026-05-18T01:15:00Z"},{"alias_kind":"pith_short_12","alias_value":"NTVUUIAQ6AKO","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"NTVUUIAQ6AKOGRIG","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"NTVUUIAQ","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:NTVUUIAQ6AKOGRIGCL2EJYHMTF","target":"record","payload":{"canonical_record":{"source":{"id":"1506.00829","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-06-02T10:24:46Z","cross_cats_sorted":[],"title_canon_sha256":"0a2363d1709ff0d395b88a9408cf23d08eed9afc61c79ead8c9b3ba507d787be","abstract_canon_sha256":"9f8281409abf119a007beb56d98b8796bedd37515899677a08df6cddaac42ff1"},"schema_version":"1.0"},"canonical_sha256":"6ceb4a2010f014e3450612f444e0ec9949446526345bebd6d2b0b6b847a5e2b3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:00.369674Z","signature_b64":"D8GBHEMPIrFsLL+DAF8rjPLkHG2CYLiaFbiIrKf6SCPC/PXUZmmgZn6EzUr2oX0hQpiShyaqC2WRmoCQ2a0+Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ceb4a2010f014e3450612f444e0ec9949446526345bebd6d2b0b6b847a5e2b3","last_reissued_at":"2026-05-18T01:15:00.369220Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:00.369220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.00829","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":"2026-05-18T01:15:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X9vGs3+XNKAKagIPgY1Gsil7t8f4ctTy2YjzHx7veNKBNKtcAz9a4xXD7paW6DRoCZYAcrmDFTx2ZSrg/9JKBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T18:30:21.654213Z"},"content_sha256":"18182a95deaf7965b722c0c073bde81fa661567a91a2d5ef4695ed1b5124beeb","schema_version":"1.0","event_id":"sha256:18182a95deaf7965b722c0c073bde81fa661567a91a2d5ef4695ed1b5124beeb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:NTVUUIAQ6AKOGRIGCL2EJYHMTF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Bayesian nonparametric approach to testing for dependence between random variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Chris Holmes, Sarah Filippi","submitted_at":"2015-06-02T10:24:46Z","abstract_excerpt":"Nonparametric and nonlinear measures of statistical dependence between pairs of random variables are important tools in modern data analysis. In particular the emergence of large data sets can now support the relaxation of linearity assumptions implicit in traditional association scores such as correlation. Here we describe a Bayesian nonparametric procedure that leads to a tractable, explicit and analytic quantification of the relative evidence for dependence vs independence. Our approach uses Polya tree priors on the space of probability measures which can then be embedded within a decision "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00829","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":"2026-05-18T01:15:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JWykt5TvWaP0M/5hnqXNWjHeUZGGLyz81bqA+cb2qM9wmF9KIue2lbvBx0Bs5lpP7unNWyeXGow47aAnHBLdDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T18:30:21.654903Z"},"content_sha256":"d4bba5c30f97c5c60e981db529372218488d4cd48f927672dea278aab55d9e44","schema_version":"1.0","event_id":"sha256:d4bba5c30f97c5c60e981db529372218488d4cd48f927672dea278aab55d9e44"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NTVUUIAQ6AKOGRIGCL2EJYHMTF/bundle.json","state_url":"https://pith.science/pith/NTVUUIAQ6AKOGRIGCL2EJYHMTF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NTVUUIAQ6AKOGRIGCL2EJYHMTF/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":"2026-05-23T18:30:21Z","links":{"resolver":"https://pith.science/pith/NTVUUIAQ6AKOGRIGCL2EJYHMTF","bundle":"https://pith.science/pith/NTVUUIAQ6AKOGRIGCL2EJYHMTF/bundle.json","state":"https://pith.science/pith/NTVUUIAQ6AKOGRIGCL2EJYHMTF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NTVUUIAQ6AKOGRIGCL2EJYHMTF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NTVUUIAQ6AKOGRIGCL2EJYHMTF","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":"9f8281409abf119a007beb56d98b8796bedd37515899677a08df6cddaac42ff1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-06-02T10:24:46Z","title_canon_sha256":"0a2363d1709ff0d395b88a9408cf23d08eed9afc61c79ead8c9b3ba507d787be"},"schema_version":"1.0","source":{"id":"1506.00829","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.00829","created_at":"2026-05-18T01:15:00Z"},{"alias_kind":"arxiv_version","alias_value":"1506.00829v2","created_at":"2026-05-18T01:15:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00829","created_at":"2026-05-18T01:15:00Z"},{"alias_kind":"pith_short_12","alias_value":"NTVUUIAQ6AKO","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"NTVUUIAQ6AKOGRIG","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"NTVUUIAQ","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:d4bba5c30f97c5c60e981db529372218488d4cd48f927672dea278aab55d9e44","target":"graph","created_at":"2026-05-18T01:15:00Z","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":"Nonparametric and nonlinear measures of statistical dependence between pairs of random variables are important tools in modern data analysis. In particular the emergence of large data sets can now support the relaxation of linearity assumptions implicit in traditional association scores such as correlation. Here we describe a Bayesian nonparametric procedure that leads to a tractable, explicit and analytic quantification of the relative evidence for dependence vs independence. Our approach uses Polya tree priors on the space of probability measures which can then be embedded within a decision ","authors_text":"Chris Holmes, Sarah Filippi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-06-02T10:24:46Z","title":"A Bayesian nonparametric approach to testing for dependence between random variables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00829","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":"sha256:18182a95deaf7965b722c0c073bde81fa661567a91a2d5ef4695ed1b5124beeb","target":"record","created_at":"2026-05-18T01:15:00Z","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":"9f8281409abf119a007beb56d98b8796bedd37515899677a08df6cddaac42ff1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-06-02T10:24:46Z","title_canon_sha256":"0a2363d1709ff0d395b88a9408cf23d08eed9afc61c79ead8c9b3ba507d787be"},"schema_version":"1.0","source":{"id":"1506.00829","kind":"arxiv","version":2}},"canonical_sha256":"6ceb4a2010f014e3450612f444e0ec9949446526345bebd6d2b0b6b847a5e2b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ceb4a2010f014e3450612f444e0ec9949446526345bebd6d2b0b6b847a5e2b3","first_computed_at":"2026-05-18T01:15:00.369220Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:00.369220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D8GBHEMPIrFsLL+DAF8rjPLkHG2CYLiaFbiIrKf6SCPC/PXUZmmgZn6EzUr2oX0hQpiShyaqC2WRmoCQ2a0+Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:00.369674Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.00829","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18182a95deaf7965b722c0c073bde81fa661567a91a2d5ef4695ed1b5124beeb","sha256:d4bba5c30f97c5c60e981db529372218488d4cd48f927672dea278aab55d9e44"],"state_sha256":"ba2925ea61b8ff9429cf9b71ee0aa1121f14e0e8cee1096b8b5d6dbb3aaf9465"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wxFMQ/GOH7dpZZiJ+lZX3/7VaViV/d8cWw9pQE9hKZgdsJ5VHZ7svxD468naWZZM0gizxdb2Kw2Acu87W3OkDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T18:30:21.658609Z","bundle_sha256":"af80de9b3ff18efcc5dd053d80661a83838faf3fa6695f0b80e58ce4cd0c9122"}}