{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:F27JXOGIUIEZCBLY7SCLNZWZ6O","short_pith_number":"pith:F27JXOGI","canonical_record":{"source":{"id":"2008.11619","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2020-08-26T15:22:59Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"f993115e79e7df369fc6b303447492a4b945de569527553e8cba5452142635d2","abstract_canon_sha256":"f31b8270bb88e634b47a2613f915ad059074577764e786981ff92f449937cce1"},"schema_version":"1.0"},"canonical_sha256":"2ebe9bb8c8a209910578fc84b6e6d9f3832f27aa08d46e28b814ae3dbe3216ee","source":{"kind":"arxiv","id":"2008.11619","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.11619","created_at":"2026-07-05T02:34:41Z"},{"alias_kind":"arxiv_version","alias_value":"2008.11619v4","created_at":"2026-07-05T02:34:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.11619","created_at":"2026-07-05T02:34:41Z"},{"alias_kind":"pith_short_12","alias_value":"F27JXOGIUIEZ","created_at":"2026-07-05T02:34:41Z"},{"alias_kind":"pith_short_16","alias_value":"F27JXOGIUIEZCBLY","created_at":"2026-07-05T02:34:41Z"},{"alias_kind":"pith_short_8","alias_value":"F27JXOGI","created_at":"2026-07-05T02:34:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:F27JXOGIUIEZCBLY7SCLNZWZ6O","target":"record","payload":{"canonical_record":{"source":{"id":"2008.11619","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2020-08-26T15:22:59Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"f993115e79e7df369fc6b303447492a4b945de569527553e8cba5452142635d2","abstract_canon_sha256":"f31b8270bb88e634b47a2613f915ad059074577764e786981ff92f449937cce1"},"schema_version":"1.0"},"canonical_sha256":"2ebe9bb8c8a209910578fc84b6e6d9f3832f27aa08d46e28b814ae3dbe3216ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:34:41.934779Z","signature_b64":"UJjEHDLwPhT+UcS1kVfEPYrPP4Cy8LqBFM9TS4W/WjAKIl6IDZz9o9K8jFCBmYqSTe5g4BoZZ5iijjzIJGK+DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ebe9bb8c8a209910578fc84b6e6d9f3832f27aa08d46e28b814ae3dbe3216ee","last_reissued_at":"2026-07-05T02:34:41.934189Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:34:41.934189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2008.11619","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:34:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O8IuaSo8gI8tMf5Nv9UCXqvUJvQOLCzd9Vx9MxOB0OOfHtZ3MEB0oi/y9A6GkQyYcL5P06px+MQXuY3/3HMaCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T06:56:05.794603Z"},"content_sha256":"95bc13dd76d16676300344312856d43b9137ae6c851f23d92399bddf1ba66499","schema_version":"1.0","event_id":"sha256:95bc13dd76d16676300344312856d43b9137ae6c851f23d92399bddf1ba66499"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:F27JXOGIUIEZCBLY7SCLNZWZ6O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the power of Chatterjee rank correlation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Fang Han, Hongjian Shi, Mathias Drton","submitted_at":"2020-08-26T15:22:59Z","abstract_excerpt":"Chatterjee (2021) introduced a simple new rank correlation coefficient that has attracted much recent attention. The coefficient has the unusual appeal that it not only estimates a population quantity first proposed by Dette et al. (2013) that is zero if and only if the underlying pair of random variables is independent, but also is asymptotically normal under independence. This paper compares Chatterjee's new correlation coefficient to three established rank correlations that also facilitate consistent tests of independence, namely, Hoeffding's $D$, Blum-Kiefer-Rosenblatt's $R$, and Bergsma-D"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.11619","kind":"arxiv","version":4},"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/2008.11619/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":"2026-07-05T02:34:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Eh1oCS+j7/Unsq2EZZWbfzS0utLWGc0XyXk9c5bH9ovfrwDodWaw5Zm6BNF16H1Xfx4kxe1N4r91gSqx+cPuDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T06:56:05.794974Z"},"content_sha256":"5d45bb30558dfc6d0a5aad1c0805a34a3faa2f3fcc411cddc15c2626bc261581","schema_version":"1.0","event_id":"sha256:5d45bb30558dfc6d0a5aad1c0805a34a3faa2f3fcc411cddc15c2626bc261581"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F27JXOGIUIEZCBLY7SCLNZWZ6O/bundle.json","state_url":"https://pith.science/pith/F27JXOGIUIEZCBLY7SCLNZWZ6O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F27JXOGIUIEZCBLY7SCLNZWZ6O/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":"2026-08-18T06:56:05Z","links":{"resolver":"https://pith.science/pith/F27JXOGIUIEZCBLY7SCLNZWZ6O","bundle":"https://pith.science/pith/F27JXOGIUIEZCBLY7SCLNZWZ6O/bundle.json","state":"https://pith.science/pith/F27JXOGIUIEZCBLY7SCLNZWZ6O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F27JXOGIUIEZCBLY7SCLNZWZ6O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:F27JXOGIUIEZCBLY7SCLNZWZ6O","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":"f31b8270bb88e634b47a2613f915ad059074577764e786981ff92f449937cce1","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2020-08-26T15:22:59Z","title_canon_sha256":"f993115e79e7df369fc6b303447492a4b945de569527553e8cba5452142635d2"},"schema_version":"1.0","source":{"id":"2008.11619","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.11619","created_at":"2026-07-05T02:34:41Z"},{"alias_kind":"arxiv_version","alias_value":"2008.11619v4","created_at":"2026-07-05T02:34:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.11619","created_at":"2026-07-05T02:34:41Z"},{"alias_kind":"pith_short_12","alias_value":"F27JXOGIUIEZ","created_at":"2026-07-05T02:34:41Z"},{"alias_kind":"pith_short_16","alias_value":"F27JXOGIUIEZCBLY","created_at":"2026-07-05T02:34:41Z"},{"alias_kind":"pith_short_8","alias_value":"F27JXOGI","created_at":"2026-07-05T02:34:41Z"}],"graph_snapshots":[{"event_id":"sha256:5d45bb30558dfc6d0a5aad1c0805a34a3faa2f3fcc411cddc15c2626bc261581","target":"graph","created_at":"2026-07-05T02:34:41Z","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/2008.11619/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Chatterjee (2021) introduced a simple new rank correlation coefficient that has attracted much recent attention. The coefficient has the unusual appeal that it not only estimates a population quantity first proposed by Dette et al. (2013) that is zero if and only if the underlying pair of random variables is independent, but also is asymptotically normal under independence. This paper compares Chatterjee's new correlation coefficient to three established rank correlations that also facilitate consistent tests of independence, namely, Hoeffding's $D$, Blum-Kiefer-Rosenblatt's $R$, and Bergsma-D","authors_text":"Fang Han, Hongjian Shi, Mathias Drton","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2020-08-26T15:22:59Z","title":"On the power of Chatterjee rank correlation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.11619","kind":"arxiv","version":4},"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":"sha256:95bc13dd76d16676300344312856d43b9137ae6c851f23d92399bddf1ba66499","target":"record","created_at":"2026-07-05T02:34:41Z","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":"f31b8270bb88e634b47a2613f915ad059074577764e786981ff92f449937cce1","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2020-08-26T15:22:59Z","title_canon_sha256":"f993115e79e7df369fc6b303447492a4b945de569527553e8cba5452142635d2"},"schema_version":"1.0","source":{"id":"2008.11619","kind":"arxiv","version":4}},"canonical_sha256":"2ebe9bb8c8a209910578fc84b6e6d9f3832f27aa08d46e28b814ae3dbe3216ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ebe9bb8c8a209910578fc84b6e6d9f3832f27aa08d46e28b814ae3dbe3216ee","first_computed_at":"2026-07-05T02:34:41.934189Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:34:41.934189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UJjEHDLwPhT+UcS1kVfEPYrPP4Cy8LqBFM9TS4W/WjAKIl6IDZz9o9K8jFCBmYqSTe5g4BoZZ5iijjzIJGK+DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:34:41.934779Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.11619","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95bc13dd76d16676300344312856d43b9137ae6c851f23d92399bddf1ba66499","sha256:5d45bb30558dfc6d0a5aad1c0805a34a3faa2f3fcc411cddc15c2626bc261581"],"state_sha256":"3fbdf5df8cace490193fc8aeb4d6a0372e212d84effb1c5b65a5651b70cc4a2a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"quIrepvOLJRPZXzbYqsTKkI69qMnHNWS1DCOsd4Mhp7BXioIjtrKO7Dzc+zZUQ61JYnJkXJ6n7juWR9LAnEXAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T06:56:05.797482Z","bundle_sha256":"af2df1125f224bb55e9bd4adbc16443689087405dd537cb646ebcdf5d0363cbe"}}