{"as_of":"2026-08-13T17:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a86701458458d16b334a6f1c45722c15ae873ce7391b4ed14a7c8f76098b988f","coverage":[{"denominator":23,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":23,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-26T11:07:30.504613Z","state":"measured"},{"denominator":23,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":23,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2606.22074/citation-record","integrity":"/paper/2606.22074/integrity","json":"/paper/2606.22074/citation-record.json","paper":"/paper/2606.22074"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":"On continuity of Chatterjee’s rank correlation and related dependence measures.Bernoulli, 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:341f3053a971d1fe24eff976f9023a5e2892ee7211e6c5e8f5550f08a448b9ca","observation_id":"834ed0ba-576b-49ec-9494-4523528408c5","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":"Dependence properties of bivariate copula families","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:5ceef9b688b5d29669ffbb64c9382962284b03811cbdc824d0330a96138d2e45","observation_id":"7e0c3984-08f3-4ff9-9ef7-0258038ae2d7","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":"The exact region and an inequality between Chatterjee’s and Spearman’s rank correlations.J","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:236cd1127d1fd640c4078812a4be2800ad2031bab874ce1f4cd4609957d8e80c","observation_id":"869e06be-f33d-40bb-abe8-869defc013da","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":"Anniversary edition.Hoboken, NJ: John Wiley & Sons, 2012","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:0f45fd06068e6b0ad7bf94caf7867868570a7042a7587661c77078947cbfc1fe","observation_id":"d9538918-29cd-452b-b2e6-0b679cb549ee","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:dea79a2bb0e46b1fda085903b2db279323089c9fb9eed6428ce2f7b873dada60","observation_id":"a1435f77-2174-421a-b725-6585cf2c8c44","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":"Spearman’sρis larger than Kendall’sτfor positively dependent random variables.J","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:e84f7b426ce943d32a72780ba9815ba15d6b37570ad790e5831cd7ad8254115f","observation_id":"24f0a650-3120-4a13-b3cc-37cf6ace7b06","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":"A new coefficient of correlation.J","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:0c600518d2aea56cbc3eda65ceff830ca7a5cf7b2545320a7c41420d6c6099a4","observation_id":"c51a364f-cff7-45e9-bffd-0e9df4ec46d0","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":"Darsow, Bao Nguyen, and Elwood T","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:b61ca54dc1684f28640291ddb57b9b6075aba6626929e0a84c816fb2f631303e","observation_id":"137f6b81-e440-4766-a1c2-7a6746e77b68","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":"Siburg, and Pavel A","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:d013436811082da938ebc22f6fb837b2c18a58b78d1d77d5b908b849ff4aa86b","observation_id":"f3381043-75c3-446d-b397-ab964c8f2ce8","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":"Boca Raton, FL: CRC Press, 2016","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:b6bdd89c76afd102129a4f39fd6f7769d5c0d3b4762497c1bfe74b3bbe4bc4ee","observation_id":"6eb5a06f-b082-4079-9928-4ec2845ee6c7","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":"Fuchs and M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:42849a3975e4665991d6150b4dc6376d93f8e8b91b2d73ebc9e2cdfbaf492294","observation_id":"93589fcc-0efc-466c-b798-2f904dda5219","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2023.105259","doi":"10.1016/j.jmva.2023.105259","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"A novel positive dependence property and its impact on a popular class of concordance measures.J","venue":"Journal of Multivariate Analysis","work_id":"b0df363d-f930-4254-b6c8-f70ca2227b79","year":2024},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:fcf3cfca1fb9d5de2fb7df0b7cec395bcc749738636d59bf09d51fca03e77c14","observation_id":"03d3487e-7e2f-4065-884c-3e59e32c829d","resolution":{"observed_at":"2026-06-26T11:09:23.142288Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":"In 2 volumes, volume 99 ofProbab","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:59f609f29cfff24307e047835eade1635c5ff1e87b4b294adba1487fc606cdc1","observation_id":"72e80f51-ff07-42fe-9395-537de749c0d5","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":null,"venue":null,"work_id":null,"year":1938},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:529d17c7f702d024635ff9baead0a8c375d9d0982816cc0e46e5aa228316faf2","observation_id":"6c341dfd-40e5-4ae6-882d-5819a815c015","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":null,"venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:12d30ee3e96ffd882b40347453ac842c63f5cd91c08f6967218dd17150db6168","observation_id":"40716da2-b713-4a64-b428-bda78f1a9cbe","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":"The bivariate normal copula.Commun","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:403db4a331e4891980dc9deb464b5fcc7cc2fb72a3483d5ba197d64325261ff2","observation_id":"0f297d68-30bc-4877-9029-897f72be4954","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":"Nelsen.An Introduction to Copulas","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:2e8086abc8330d9c1068a2ee78ca6072cfda59c9b80472c9e21b04a18cfbc9de","observation_id":"5e3d1201-24d1-4774-8a85-44dea46a1eeb","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.08045","last_updated":"2026-05-22T15:34:12Z","snapshot_observed_at":"2026-07-06T21:22:50.400399Z","submitted_at":"2025-05-12T20:29:29Z","title":"Measures of association for approximating copulas","version":2},"cited_work":{"arxiv_id":"2505.08045","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.08045","snapshot_observed_at":"2026-07-04T08:39:42.511217Z","title":"Measures of association for approximating copulas","venue":"math.ST","work_id":"ced97ac1-7fe9-45f6-8fd4-7615ff08477b","year":2025},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"cited_paper":"/paper/2505.08045","citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:14e0a576dc40be1e4d78f3afb77c960d1f906e136ff9b9b207171023c099b3ef","observation_id":"0a185e1a-db73-487a-8735-8f4113bae693","resolution":{"observed_at":"2026-07-04T08:39:42.512461Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":"On measures of concordance.Stochastica, 8:201–218, 1984","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:bd3393c8397b24a4c6c27b4cd4464313e6ee96fbe108a48f67a389f1898a45ce","observation_id":"087faf02-5cc6-42db-b226-e0fd6703615d","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":"George Shantikumar.Stochastic orders","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:1c46998d19f6577af66654c5fb6b2f473e6f6ec8f087d2106bef635a51ee7e53","observation_id":"e59a5b34-1441-432c-9238-3711aff79f81","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":"Stochastic monotonicity and the Markov product for copulas.J","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:80a6f247068f9f59c5604729a249fa1c1d59b20389d784d6c3654542206fb9b8","observation_id":"fd01f4f9-5eda-4fa9-b5b4-f8319b28f290","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":"The proof and measurement of association between two things.The American Journal of Psychology, 15(1):72–101, 1904","venue":null,"work_id":null,"year":1904},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:513e0b0c1bca53e19f9d1284e2ce964a1f58969b1c54693d12304387f7e2efd0","observation_id":"233e4676-89a1-4a58-b198-f6771d161510","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:07:30.504613Z","title":"Ziegler.Lectures on polytopes, volume 152 ofGrad","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-26T11:07:30.504613Z"},"links":{"citing_paper":"/paper/2606.22074"},"observation_digest":"sha256:7308794c7bff65a5e0e76eb3087c6cd3901b9cc5058c4260bec34fa467cc72f5","observation_id":"9d68234d-4437-41f1-b4a4-5ac15ce423a3","resolution":{"observed_at":"2026-06-26T11:07:30.504613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.22074","last_updated":"2026-06-20T14:50:31Z","latest_version":1,"primary_category":"math.ST","snapshot_observed_at":"2026-08-08T22:57:17.998665Z","submitted_at":"2026-06-20T14:50:31Z","title":"Kendall and Spearman bounds for Chatterjee's rank correlation under positive dependence"},"reference_resolution":{"displayed":23,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":23},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2606.22074."}