{"as_of":"2026-08-18T10:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ec386b608dcd5dd9dfd7cbb93193d55d51a6893e94c9703b98216d79b153457d","coverage":[{"denominator":32,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":32,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T23:28:05.272166Z","state":"measured"},{"denominator":37,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":37,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T16:06:55.610461Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-06-30T21:35:04.895918Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.02668","snapshot_observed_at":"2026-08-15T16:06:55.610461Z","title":"and Han, F","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.10817","last_updated":"2026-06-10T06:18:01Z","snapshot_observed_at":"2026-08-18T07:18:51.044690Z","submitted_at":"2025-09-13T14:35:35Z","title":"Conditional Independence Testing Using Exchangeable Pairs","version":2},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-15T16:06:55.610461Z"},"links":{"cited_paper":"/paper/2412.02668","citing_paper":"/paper/2509.10817"},"observation_digest":"sha256:9ebbe75ae6067c5d0daa375ff26b664e01eeba958d74d7ff3decab8c1eacc94b","observation_id":"91be03af-5c86-4fe5-b8c3-8261e2ac8205","resolution":{"observed_at":"2026-08-15T16:06:55.610461Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.02668","snapshot_observed_at":"2026-08-04T11:08:57.203190Z","title":"and Han, F","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.07262","last_updated":"2026-06-30T06:28:34Z","snapshot_observed_at":"2026-08-15T12:40:23.478708Z","submitted_at":"2025-10-08T17:23:55Z","title":"Spectral analysis of large dimensional Chatterjee's rank correlation matrix","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-04T11:08:57.203190Z"},"links":{"cited_paper":"/paper/2412.02668","citing_paper":"/paper/2510.07262"},"observation_digest":"sha256:d24857bb4075d9f5a3512515a568cf5cfaf7ec0b9ac67bb151b43c3ef9b3e1a8","observation_id":"1d9d1ad5-b03f-42ca-9c03-3e05107ad724","resolution":{"observed_at":"2026-08-04T11:08:57.203190Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"cited_work":{"arxiv_id":"2412.02668","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.02668","snapshot_observed_at":"2026-06-30T21:35:04.895918Z","title":"Tran and F","venue":null,"work_id":"2914a884-5050-4a5f-a7a4-7270e7701eeb","year":2024},"citing_paper":{"arxiv_id":"2605.13522","last_updated":"2026-05-26T11:46:45Z","snapshot_observed_at":"2026-08-17T06:07:33.443953Z","submitted_at":"2026-05-13T13:38:11Z","title":"Dependence functions based on Chatterjee's rank correlation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-14T18:19:52.068251Z"},"links":{"cited_paper":"/paper/2412.02668","citing_paper":"/paper/2605.13522"},"observation_digest":"sha256:7b6fde180fc361a92d6af45b38abe177607a76576b6cac82be0bb6ae3716236f","observation_id":"c2cf84c6-dc37-4f9f-ab28-a36ec09a163e","resolution":{"observed_at":"2026-05-14T18:22:33.754460Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"cited_work":{"arxiv_id":"2412.02668","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.02668","snapshot_observed_at":"2026-06-30T21:35:04.895918Z","title":"Tran and F","venue":null,"work_id":"2914a884-5050-4a5f-a7a4-7270e7701eeb","year":2024},"citing_paper":{"arxiv_id":"2605.13522","last_updated":"2026-05-26T11:46:45Z","snapshot_observed_at":"2026-08-17T06:07:33.443953Z","submitted_at":"2026-05-13T13:38:11Z","title":"Dependence functions based on Chatterjee's rank correlation","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-20T21:20:16.957659Z"},"links":{"cited_paper":"/paper/2412.02668","citing_paper":"/paper/2605.13522"},"observation_digest":"sha256:02efd351360dfdbc72e215da49a2c7730c1ae72df0dca7ca887572bfd4a7db1b","observation_id":"5ac3faa6-d815-436b-832c-52f043bb3cf1","resolution":{"observed_at":"2026-05-20T21:23:44.452477Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"cited_work":{"arxiv_id":"2412.02668","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.02668","snapshot_observed_at":"2026-06-30T21:35:04.895918Z","title":"Tran and F","venue":null,"work_id":"2914a884-5050-4a5f-a7a4-7270e7701eeb","year":2024},"citing_paper":{"arxiv_id":"2605.13522","last_updated":"2026-05-26T11:46:45Z","snapshot_observed_at":"2026-08-17T06:07:33.443953Z","submitted_at":"2026-05-13T13:38:11Z","title":"Dependence functions based on Chatterjee's rank correlation","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-30T21:26:12.424068Z"},"links":{"cited_paper":"/paper/2412.02668","citing_paper":"/paper/2605.13522"},"observation_digest":"sha256:2c3ae80ca9243a390322a5be98737237522b2fe71701f9bdf061e364f35e3681","observation_id":"209736bf-03c7-4130-8128-f0f022b20a92","resolution":{"observed_at":"2026-06-30T21:35:04.898694Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.02668/citation-record","integrity":"/paper/2412.02668/integrity","json":"/paper/2412.02668/citation-record.json","paper":"/paper/2412.02668"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2212.01621","last_updated":"2025-03-01T12:58:25Z","snapshot_observed_at":"2026-08-16T16:11:16.947636Z","submitted_at":"2022-12-03T14:24:14Z","title":"A direct extension of Azadkia & Chatterjee's rank correlation to multi-response vectors","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.01621","snapshot_observed_at":"2026-08-11T23:28:04.797011Z","title":"and Fuchs, S","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:04.797011Z"},"links":{"cited_paper":"/paper/2212.01621","citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:e15b34b5db355abebf1aeec4326f7092bae207d67f2dcd421b52cc67e9307400","observation_id":"afe12982-7c6d-4266-bfe3-dbd152f64d76","resolution":{"observed_at":"2026-08-11T23:28:04.797011Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:07.650489Z","title":null,"venue":null,"work_id":"315d64f5-898c-4e5a-94e1-7a580e6f8895","year":2024},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:04.814007Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:ed9be4af9d0c4f2e30312e11e2438120f832b53fd5bcf7b0f3e6ccb4dc97b210","observation_id":"77c04aef-38a3-4802-9b44-f68c410030a0","resolution":{"observed_at":"2026-08-11T23:28:07.670704Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:07.622168Z","title":"and Chatterjee, S","venue":null,"work_id":"f28f5e4c-12a9-4595-bf2b-634fceda80a5","year":2021},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:04.829440Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:1e197cde87285914d894079a76d4647f9b201497b5cf41d7685bbe5553416027","observation_id":"96acd6f4-2ff0-415b-a475-4e2a8f8e5336","resolution":{"observed_at":"2026-08-11T23:28:07.633028Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2111.14969","last_updated":"2022-03-18T14:11:43Z","snapshot_observed_at":"2026-08-16T17:38:33.183772Z","submitted_at":"2021-11-29T21:26:48Z","title":"A Fast Non-parametric Approach for Local Causal Structure Learning","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.14969","snapshot_observed_at":"2026-08-11T23:28:04.842439Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:04.842439Z"},"links":{"cited_paper":"/paper/2111.14969","citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:05fdc737561daab994328d69cf740d39ff14921bd9bda0da868f1bcc9c5ec92a","observation_id":"cfda60d9-a619-41a4-810c-916cfec83685","resolution":{"observed_at":"2026-08-11T23:28:04.842439Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.13663","last_updated":"2022-06-27T23:12:40Z","snapshot_observed_at":"2026-08-18T07:21:43.581722Z","submitted_at":"2022-06-27T23:12:40Z","title":"Measures of independence and functional dependence","version":1},"cited_work":{"arxiv_id":"2206.13663","doi":null,"metadata_source":"pith","pith_arxiv_id":"2206.13663","snapshot_observed_at":"2026-08-11T23:28:05.836543Z","title":"Measures of independence and functional dependence","venue":"math.ST","work_id":"107ed3ce-461b-44e4-ace8-4a4c0f5ecdd9","year":2022},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:04.856730Z"},"links":{"cited_paper":"/paper/2206.13663","citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:bd5898b029a00db6f39bce38feed328f5c2d1a8cc7b38a62d994750e336354cd","observation_id":"04658cc6-cbd8-4675-9df8-f09354f4e064","resolution":{"observed_at":"2026-08-11T23:28:05.853858Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2008.10177","last_updated":"2020-10-21T04:04:10Z","snapshot_observed_at":"2026-08-09T09:49:36.617557Z","submitted_at":"2020-08-24T03:31:18Z","title":"Correlations with tailored extremal properties","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.10177","snapshot_observed_at":"2026-08-11T23:28:04.875822Z","title":"and Bickel, P","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:04.875822Z"},"links":{"cited_paper":"/paper/2008.10177","citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:ab1cd4b8fb80f020d0266ecd89999667c9e49c6019ac093070e6cbc06de6f8cf","observation_id":"801e5577-b75f-4b98-bddf-6f7de9b8280e","resolution":{"observed_at":"2026-08-11T23:28:04.875822Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:07.561691Z","title":"D., Han, F., and Lin, Z","venue":null,"work_id":"9d8a9743-fc06-4276-8c35-212b9c96869a","year":2025},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:04.893606Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:07c43fe5eada0bf6f556add8aff04e8ccd446b9507b2c9b1efd3b95779bf8c69","observation_id":"7e7ffcc3-bb41-4650-9f60-a6450db27861","resolution":{"observed_at":"2026-08-11T23:28:07.585344Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:07.521220Z","title":null,"venue":null,"work_id":"32f03539-2de4-4155-a7f2-36e575fa1301","year":2021},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:04.899429Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:9e6d1a6343568dae7b76cafc1292766428ad0f21124e4c5ae292084e32816fff","observation_id":"be1e2fcd-5609-4d5b-a882-e2d6fe902616","resolution":{"observed_at":"2026-08-11T23:28:07.528286Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:07.376266Z","title":null,"venue":null,"work_id":"822338f9-7987-409e-9301-e05c0e8eb789","year":2023},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:04.904781Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:5da6c28b27c0a097e8da1271cd15097266c51ed8332457175253b78b2b0afee4","observation_id":"12d287cf-b944-46b8-835c-f99740c5c36e","resolution":{"observed_at":"2026-08-11T23:28:07.438475Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:07.316045Z","title":null,"venue":null,"work_id":"74f901fb-76d5-491c-a667-88dbe6de8fcb","year":2004},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:04.920254Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:0cada77d390f9f4a3881a82c31645113d829fc869f845eef877d6ed95a8aa2e2","observation_id":"ad86f35e-125b-4e7d-af9b-4f8a6eccf824","resolution":{"observed_at":"2026-08-11T23:28:07.328303Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.01768","last_updated":"2020-10-08T17:21:06Z","snapshot_observed_at":"2026-08-18T07:18:04.460008Z","submitted_at":"2020-10-05T04:25:09Z","title":"Measuring Association on Topological Spaces Using Kernels and Geometric Graphs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.01768","snapshot_observed_at":"2026-08-11T23:28:04.926517Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:04.926517Z"},"links":{"cited_paper":"/paper/2010.01768","citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:65d2eda2a60b01bd257a5096aaccbdb6c16964626270ab9ac82396e713cc3785","observation_id":"096abe9f-9b53-41d0-ba8b-df35f79b3c4e","resolution":{"observed_at":"2026-08-11T23:28:04.926517Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:07.260400Z","title":"and Kroll, M","venue":null,"work_id":"8feb7ad2-2052-4b87-99ea-0c99502258ff","year":2024},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:04.952318Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:ddfbd6f869fc62594ea7df9c7e22f9ffc5177906bfe9f97b23383331c3fbc9a5","observation_id":"cce50024-85e9-422b-98dd-0821f57ee508","resolution":{"observed_at":"2026-08-11T23:28:07.272247Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:07.190417Z","title":"F., and Stoimenov, P","venue":null,"work_id":"716dd0c6-c37f-494c-9961-2785333cfde3","year":2013},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:04.987501Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:26f2a5486ef570aa1b5222bf5dca5ff0f5ff25be6c7ebe3f55b8782892dc9877","observation_id":"b6c53587-0c17-40dc-b277-a5f363e44523","resolution":{"observed_at":"2026-08-11T23:28:07.217576Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:07.072737Z","title":null,"venue":null,"work_id":"ffaabe7f-f8b6-463f-8501-c0730b5e5723","year":1956},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:05.004857Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:f863ee2f550162376dd11f388723969aac338c9d45a0a089aab5b61bfd24f506","observation_id":"6a24da4a-1215-4a12-833a-009caffc21fc","resolution":{"observed_at":"2026-08-11T23:28:07.121486Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:07.017857Z","title":null,"venue":null,"work_id":"45374842-4b65-4aa7-95fa-371a50795e80","year":2024},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:05.017994Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:b01b06556848dd2caa8bf0bc8884a685e44823de183f5ab783ead5a4d2b11a77","observation_id":"7b9dc007-982a-46ef-8ca4-26f1b9c928f8","resolution":{"observed_at":"2026-08-11T23:28:07.025702Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:06.975588Z","title":null,"venue":null,"work_id":"873ee987-b5a1-49e7-8e8a-bbb657e4ba0d","year":2022},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:05.037156Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:09cc3f26f1570b79b83cc54fcba3a0579b8ac1a6d81fe4f15f998686df95222d","observation_id":"e925278a-dc16-4386-a46b-c2f3cb1240f1","resolution":{"observed_at":"2026-08-11T23:28:06.987308Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:06.939327Z","title":"R., and Trutschnig, W","venue":null,"work_id":"8846cb15-c505-4f79-9ade-df4af6fc3dc8","year":2022},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:05.045725Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:240e099a760d4cfb46fcf9feee4977ac9fd354da16207b7eb2131c66b158a422","observation_id":"b6c77989-ef62-49d0-9340-6ff2ad95480e","resolution":{"observed_at":"2026-08-11T23:28:06.949965Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T23:28:05.052299Z","title":"and Huang, Z","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:05.052299Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:4cfad1d3a29b2ab9e5788526f66bc254bb75ad26f247b3389d8c693054958166","observation_id":"e6f4275a-6441-4aee-955a-b23d36692abe","resolution":{"observed_at":"2026-08-11T23:28:05.052299Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:06.833407Z","title":null,"venue":null,"work_id":"82fab065-a318-4f66-bb57-935ce454c458","year":1987},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:05.063623Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:9c5d796a3bca5637ea7147736f962a9491197d9c0b66dc869ffb91605d7272e1","observation_id":"e1052cce-ef3a-467e-812e-e5b2658fc6ac","resolution":{"observed_at":"2026-08-11T23:28:06.847603Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:06.782814Z","title":null,"venue":null,"work_id":"38d8dd82-8f6c-41bb-b5c7-5c0c93424b19","year":1956},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:05.079669Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:055ce27b3145caba105b77730ee2e729f3d0721c0a368c7158469ee9b5b000a4","observation_id":"77df039f-2ef0-4498-a5fb-3764e09a1f6b","resolution":{"observed_at":"2026-08-11T23:28:06.796284Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:06.735156Z","title":null,"venue":null,"work_id":"472c3b3e-15c0-4b54-b836-1deada76a2a0","year":2022},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:05.100218Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:4a1f527665cbd3219d2939424fa59d8002d8966a5157af896200d02b307c736b","observation_id":"5b74f7f1-35ad-4972-985f-8ba10df931d6","resolution":{"observed_at":"2026-08-11T23:28:06.743050Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.11547","last_updated":"2026-07-08T13:44:19Z","snapshot_observed_at":"2026-08-16T13:24:55.690699Z","submitted_at":"2024-08-21T11:55:34Z","title":"Extension of Process Convergence With Application to Chatterjee's Rank Correlation","version":3},"cited_work":{"arxiv_id":"2408.11547","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.11547","snapshot_observed_at":"2026-08-11T23:28:05.581437Z","title":"Extension of Process Convergence With Application to Chatterjee's Rank Correlation","venue":"math.PR","work_id":"28d4fa34-be8b-4a0d-9b74-868b5532be4b","year":2024},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:05.114369Z"},"links":{"cited_paper":"/paper/2408.11547","citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:4a89f920deaf678bb59d52c7e14e50fb315320e3ad4feddc104581e41dcd64ae","observation_id":"24bfd145-5fce-43c5-85ac-1f40866f35db","resolution":{"observed_at":"2026-08-11T23:28:05.616086Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2204.08031","last_updated":"2025-06-03T22:39:40Z","snapshot_observed_at":"2026-08-16T17:06:27.575051Z","submitted_at":"2022-04-17T15:25:46Z","title":"Limit theorems of Chatterjee's rank correlation","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.08031","snapshot_observed_at":"2026-08-11T23:28:05.134027Z","title":"and Han, F","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:05.134027Z"},"links":{"cited_paper":"/paper/2204.08031","citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:2db6d200d4a4fb648945398481a9df9847716f883ff46141d1b23406059a9487","observation_id":"a96f65b8-242d-4a78-bedc-4aa57a6e5ba6","resolution":{"observed_at":"2026-08-11T23:28:05.134027Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:06.685996Z","title":"and Han, F","venue":null,"work_id":"19f44810-ae14-4376-a2ba-9b8025774206","year":2023},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:05.152752Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:593aa7744b63cd292d60a772fb90b68e8e755bfa53aeaf036b61a9e5c28a5888","observation_id":"59a85576-9282-4e5a-aae6-7dbfdc467d11","resolution":{"observed_at":"2026-08-11T23:28:06.701934Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:06.608499Z","title":"and Han, F","venue":null,"work_id":"9fad5ae5-5cc8-47cd-933b-07d0e3259868","year":2025},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:05.167450Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:17cd03662f7fc52ad95e13c520d29c7c4607337fc98b78ae423aa60a8914bae8","observation_id":"6b86a3a7-e3ac-4586-b64e-e5a9dad12224","resolution":{"observed_at":"2026-08-11T23:28:06.633090Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:06.541046Z","title":null,"venue":null,"work_id":"6ffd7496-35d5-49d0-955b-68a646dd936f","year":2005},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:05.174727Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:df16a0daad1224564c00b66e385b5215f4229bfebdefd40c1a32ebb6d500a7af","observation_id":"106ff187-cbd0-4fef-9516-81b874b93a39","resolution":{"observed_at":"2026-08-11T23:28:06.548848Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:06.405704Z","title":null,"venue":null,"work_id":"74940d81-d0ef-4f2c-9229-c3b58bc11e1e","year":2010},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:05.187350Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:2fda22d1f1a7a93476e35c05b540f3e9cc3264b007b9fcf77a7bfffd1b5d52fd","observation_id":"25eb9b7c-7a74-4c4b-b7a9-a7db8b8594ff","resolution":{"observed_at":"2026-08-11T23:28:06.423424Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:06.241272Z","title":"and Wolff, E","venue":null,"work_id":"6ea390fe-0d3b-4e7d-815c-7fed84d78f72","year":1981},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:05.215787Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:656006d2d504cd8426b75c4a034ddad36dad2d0ff4f315b0d8c3a38d83ab2c55","observation_id":"c610e063-ebf7-462f-a6c1-12a37a8d296c","resolution":{"observed_at":"2026-08-11T23:28:06.253709Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:06.180986Z","title":null,"venue":null,"work_id":"9c97d70f-62ca-4726-8146-30fb7f1014c7","year":2022},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:05.237853Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:9d0c4722cc7576aa17be784479a07565841fd1930263648ba50b0afb7f01bd03","observation_id":"798ed37c-835c-4c99-9fe1-3a663c8178ca","resolution":{"observed_at":"2026-08-11T23:28:06.188476Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:06.153674Z","title":null,"venue":null,"work_id":"a5f72481-408e-474e-b93d-7e3322183254","year":2024},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:05.249485Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:ae4278c2e312a31f7b2793908720f59f494346d2f5400570f66fea2aeafed91f","observation_id":"136e73ed-78d3-413f-adc7-7d33413eef3c","resolution":{"observed_at":"2026-08-11T23:28:06.161976Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:28:06.105510Z","title":null,"venue":null,"work_id":"c3cdd3b6-db6f-48ae-adc0-b6737ebe9e90","year":2024},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:05.261365Z"},"links":{"citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:ea83dde4ba8ea69535aab8f21b1438d74ff037b6632185a4cdd70e4f28dcea08","observation_id":"df2ebd85-0703-48ea-9726-920c8b3e9d84","resolution":{"observed_at":"2026-08-11T23:28:06.117802Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.10131","last_updated":"2023-02-20T18:02:41Z","snapshot_observed_at":"2026-08-16T15:54:02.925008Z","submitted_at":"2023-02-20T18:02:41Z","title":"On relationships between Chatterjee's and Spearman's correlation coefficients","version":1},"cited_work":{"arxiv_id":"2302.10131","doi":null,"metadata_source":"pith","pith_arxiv_id":"2302.10131","snapshot_observed_at":"2026-08-11T23:28:05.414735Z","title":"On relationships between Chatterjee's and Spearman's correlation coefficients","venue":"stat.ME","work_id":"b7bec9b7-726a-444d-94b7-c8bc37174d44","year":2023},"citing_paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T23:28:05.272166Z"},"links":{"cited_paper":"/paper/2302.10131","citing_paper":"/paper/2412.02668"},"observation_digest":"sha256:d4b54780e38cee9a581dccd78bce501a1fd9e9f1d567d0fc32f712eca5f9a36b","observation_id":"ee8b8124-f9f1-4d7a-a805-f9c1ede1bd80","resolution":{"observed_at":"2026-08-11T23:28:05.425171Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.02668","last_updated":"2024-12-03T18:41:28Z","latest_version":1,"primary_category":"math.ST","snapshot_observed_at":"2026-08-18T07:18:50.509824Z","submitted_at":"2024-12-03T18:41:28Z","title":"On a rank-based Azadkia-Chatterjee correlation coefficient"},"reference_resolution":{"displayed":32,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":3,"verified_fuzzy":8},"total_outbound_references":32},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 5 inbound Pith citation observations for arXiv:2412.02668."}