{"as_of":"2026-08-06T02:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b48f388e8f7ab281bffe1171495dbf972772eb792c49b6e96d5f9b67d66c34f2","coverage":[{"denominator":40,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":40,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-08T17:55:57.444042Z","state":"measured"},{"denominator":41,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":41,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-05T06:32:48.257954+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T22:24:23.698812Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.03886","snapshot_observed_at":"2026-08-01T22:24:23.698812Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.15823","last_updated":"2026-07-17T10:32:05Z","snapshot_observed_at":"2026-08-05T19:08:40.934964Z","submitted_at":"2026-07-17T10:32:05Z","title":"Aggregation of Statistical Evidence under Exchangeability","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T22:24:23.698812Z"},"links":{"cited_paper":"/paper/2605.03886","citing_paper":"/paper/2607.15823"},"observation_digest":"sha256:62e63079027a7126674be9cd1f07cb8d374bff956d9570bee53ba1384bdf99b3","observation_id":"99a7d02e-137b-4b9d-a7ba-63eca1d03e94","resolution":{"observed_at":"2026-08-01T22:24:23.698812Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2605.03886/citation-record","integrity":"/paper/2605.03886/integrity","json":"/paper/2605.03886/citation-record.json","paper":"/paper/2605.03886"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Biometrika , volume=","venue":null,"work_id":"846aebb6-05c6-4292-bfb4-6e3a5e340e48","year":1991},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:dc90e9830c598881505d6aabba100afe1389730871c16524642bc2f060c90ea1","observation_id":"13e5056b-3bbf-4a55-9504-636693e831a3","resolution":{"observed_at":"2026-05-26T06:21:49.344347Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"The Annals of Mathematical Statistics , volume=","venue":null,"work_id":"1adc861c-1028-48d0-a8c9-a0edaf388575","year":1957},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:9ee8ffa7dce07e46b85e0642a0dc2b753c4450e9c1d66179208cb26d8bc97aaf","observation_id":"b87754b4-4f13-4b6f-b2ef-58b3ba1d4609","resolution":{"observed_at":"2026-05-26T06:21:49.332933Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"5c407d0a-ff7d-4149-9b52-92a14655e7df","year":1963},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:b93e687ef5d4c50356d0cb7106f4e24b435d536afdbf5fad5019668e8d142358","observation_id":"eecf4f23-4fd3-4452-b93f-9397c5fc9f0e","resolution":{"observed_at":"2026-05-26T06:21:49.329309Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Barnard's Monte Carlo tests: how many simulations?","venue":null,"work_id":"057cc60c-0004-4809-9308-6a3102356249","year":1979},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:4c367ce763ed820e37ad60fba8e128bb8fd08af5664a98002fc82dc95ee82261","observation_id":"1167f7b7-e1ed-4307-9d12-a9f2d57f9f15","resolution":{"observed_at":"2026-05-26T06:21:49.325538Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"On the number of replications in resampling tests and Monte Carlo simulation studies","venue":null,"work_id":"935bbf17-acdb-4e94-8ccf-a91350e5acce","year":2026},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:b795b762c23a1c32605add1974e3b1223b78762b412e82065f78460dcb926409","observation_id":"faac880e-a11b-4973-a998-902b9c1be67e","resolution":{"observed_at":"2026-05-26T06:21:49.348185Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Statistical Science , volume=","venue":null,"work_id":"02e57e7e-afd4-42c7-87dc-9f58ad7215ab","year":2004},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:7cf8a5bb91f4044fd5aaf7b9589f750b7ae7b9ed75b7c8c64be786ce87e9b2b0","observation_id":"c1e4bcc9-708d-415b-ab30-eabe5f39bdde","resolution":{"observed_at":"2026-05-26T06:21:49.340726Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Sequential implementation of Monte Carlo tests with uniformly bounded resampling risk","venue":null,"work_id":"058badb1-06ef-445f-84ea-4e048c249856","year":2009},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:617765c29cb4e13fb88f84776c4c628ea3541432240c9e581dd6c155ca6b016b","observation_id":"f44e0178-4df6-4119-977b-280ea43bcc53","resolution":{"observed_at":"2026-05-26T06:21:49.336988Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"The Annals of Mathematical Statistics , year =","venue":null,"work_id":"809c6c73-da25-4d5d-81da-62f0730e4d66","year":null},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:4c35b915986bcba9121f79e46d7cadebd3a2e3dd5c535b2aa980a0b8d2a72680","observation_id":"f3a1bba0-d6eb-4271-8d53-61ebc104e68b","resolution":{"observed_at":"2026-05-26T06:21:49.448474Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"title = \"","venue":null,"work_id":"de9cb78d-ed63-44f3-be20-5958309c1e7d","year":null},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:3f3e64a7ebd5931795f684e3adedde2fa18a65fcc635cba7853934b9fb8c175f","observation_id":"f357bd15-2921-4ef5-9e7a-09ea04ea1ae9","resolution":{"observed_at":"2026-05-26T06:21:49.351954Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Bootstrap tests: How many bootstraps?","venue":null,"work_id":"525d940f-78f1-4bcf-a212-0321c3b18769","year":2000},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:d6b0a2b4e4f2d39e522cc364e37c91c023c745a6f1fe03b3190a18036f61048c","observation_id":"c895971f-4482-4774-bea8-07997532bb35","resolution":{"observed_at":"2026-05-26T06:21:49.436935Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Consistency of permutation tests of independence using distance covariance, HSIC and dHSIC","venue":null,"work_id":"62dfd6c3-371f-4072-80b2-0c72c44c7c9b","year":2021},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:f5a17f6cf66f37e94fa263344c7593e097ba34347111c97e9768f9c233d5128f","observation_id":"d494f472-c865-48f7-8027-8698e04b009d","resolution":{"observed_at":"2026-05-26T06:21:49.444749Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Journal of the Royal Statistical Society: Series B (Statistical Methodology) , year =","venue":null,"work_id":"cc0d1589-4ca7-41cc-befa-86dc498520f6","year":null},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:6cdfac62573328230e85d8498225f1738f052d2792dce00a6de1f1e1095efac8","observation_id":"e0a79479-c12f-4101-acbf-e05f652ee78d","resolution":{"observed_at":"2026-05-26T06:21:49.440932Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"The American Statistician , volume=","venue":null,"work_id":"79c2ea40-6bcb-42ce-954a-81fcdeb303d3","year":2002},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:94254f0b970366fbe86e9256247c1b64701a604666e58827f46b15a6529acb5f","observation_id":"71c91409-28ac-4364-874a-8d38d69299aa","resolution":{"observed_at":"2026-05-26T06:21:49.452235Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Finite sample properties and asymptotic efficiency of Monte Carlo tests","venue":null,"work_id":"ee0e3ab1-a46f-496a-8549-8e4e4a090d34","year":1986},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:082ed58595dfd580c512b80dce7acd68038357a401cc8835daebd475fa991d73","observation_id":"94c7bd90-07bd-4483-a2a0-0eeb63d775d7","resolution":{"observed_at":"2026-05-26T06:21:49.468349Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/2308012","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"A Remark on Stirling's Formula","venue":"American Mathematical Monthly","work_id":"3a33d425-bab7-4a68-9d01-b9a281ae6aa5","year":1930},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:4118279977dbb3d77ae41497ac5b8dfa6799c12d3e3499c6f477867c70cad4b1","observation_id":"466d1746-8386-4c1f-be48-1fab73a3fddd","resolution":{"observed_at":"2026-05-08T17:58:53.593424Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-01T18:08:10.587983+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-01T18:08:10.587983+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Test , volume=","venue":null,"work_id":"c26ce00b-3d08-4df4-9a01-916622e0a6a3","year":2018},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:a63973154a67b7402e1131a2c5e21eacca83d9c0ec246f9d403b9de4987c9feb","observation_id":"012198ad-e7aa-46a1-adf6-53b27178cd52","resolution":{"observed_at":"2026-05-26T06:21:49.425906Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"A simplified Monte Carlo significance test procedure","venue":null,"work_id":"858d8308-b2b8-44dd-8bca-53295ef61b4e","year":1968},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:3bce4fec25ac05371677ba7578876f8536d6b488423e5517da3274bf48ab5841","observation_id":"02604e02-d439-4a01-9702-077fbcc30cce","resolution":{"observed_at":"2026-05-26T06:21:49.355578Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-07T20:24:10.147913Z","title":"2005 , publisher=","venue":null,"work_id":"5a71e547-e08e-4344-8629-b70ab516c97a","year":2005},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:59456f2e3e941553f3bd267e0f9081501af093508b0ef6c7a13acd5571a8b93d","observation_id":"aaa16db5-5a3c-4734-b626-bb0c293d699d","resolution":{"observed_at":"2026-05-26T06:21:49.417446Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"The journal of machine learning research , volume=","venue":null,"work_id":"00aa71f7-d8c1-4cb1-8d72-a38e7ebb726a","year":2012},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:324521880621aeaa3db596327b5ce5062909771bf8cf4410324c2a655b96a930","observation_id":"0e189367-618e-4a24-907b-4d868eba8ad0","resolution":{"observed_at":"2026-05-26T06:21:49.422032Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Biometrika , volume=","venue":null,"work_id":"8810ce8e-e081-4ab6-bd57-5e1236f8107c","year":2024},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:910cf51986096ee9f62a340852a9d2578ff59fc981b6958c52f6e6f37ced5bd2","observation_id":"8c647538-2b0b-47c0-b56d-4fe45802cbb4","resolution":{"observed_at":"2026-05-26T06:21:49.429430Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Sankhya A , volume=","venue":null,"work_id":"b807ca7a-fc47-46c9-bad8-2f19403d5541","year":2023},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:981e7930ee0c526d629cd765a9373d35f68a02d36c15d59f352452e9b3644db0","observation_id":"6ccceddb-ad84-488c-8f10-ed1864b69fd8","resolution":{"observed_at":"2026-05-26T06:21:49.400402Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Biometrics , volume=","venue":null,"work_id":"876fb9f6-389c-4723-9ca3-13119ba352e3","year":1996},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:dde91b9d35071801a252f9fbba9292d243a43d328663548b0a1c6bbeb37278f3","observation_id":"2bc4a537-9182-437e-aec9-f68d9e899276","resolution":{"observed_at":"2026-05-26T06:21:49.433016Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Human brain mapping , volume=","venue":null,"work_id":"007e2776-1885-4c10-8668-0e3e15cbaaee","year":2016},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:3eadf27838a20802242bf207b18c6babee553412803993741b6dbe9a204263db","observation_id":"a698d6e7-4abc-48b0-ab98-66b5d06f3625","resolution":{"observed_at":"2026-05-26T06:21:49.407983Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Permutation and parametric tests for effect sizes in voxel-based morphometry of gray matter volume in brain structural MRI","venue":null,"work_id":"f432b8f7-a8dd-4e0f-a0f1-83b40187b886","year":2015},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:613b329d1dbeec5ebbde95df821ab52e8651b971fdc6366d0979d1a13ec4a35e","observation_id":"5af3718d-108b-483b-8004-72c11be7a89e","resolution":{"observed_at":"2026-05-26T06:21:49.392779Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Bioinformatics , volume=","venue":null,"work_id":"ae22f1de-02ed-4fd3-b6e5-4e61bdf79f0e","year":2022},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:8fc2dfdf063971df71183791f5b85f26ea6ebcbb2cdc52ea65000bda805cc6ba","observation_id":"e237b348-618f-46fb-bcc6-4bd9d4eb568b","resolution":{"observed_at":"2026-05-26T06:21:49.384667Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"3545cd27-88d0-4200-a437-30a231c03dfa","year":null},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:ebcd033c90c2469fc7ce1f38c70689e402d3445bda2c18b7877ea5f23a840806","observation_id":"8263cab2-1968-4d61-aff8-1eb5a9fe2ad4","resolution":{"observed_at":"2026-05-26T06:21:49.370650Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Annals of Statistics , year =","venue":null,"work_id":"b3ca062b-1dd8-44da-a1ad-362844e22814","year":null},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:4a61cf94f55b33cfd883da9d5dbe26a1265142c49f6673c2fa067766da15657c","observation_id":"12b2359f-f064-4226-96ff-bd866db68bec","resolution":{"observed_at":"2026-05-26T06:21:49.388527Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"title = \"","venue":null,"work_id":"52d55cd0-3e88-44b2-86b9-251952787fc2","year":null},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:b6ab468cc6f333ca656651c07e8d7fba7cc8fd388f96bac050d9cf62ae764f18","observation_id":"848b5f15-143a-4571-9de8-a61c56b69ec3","resolution":{"observed_at":"2026-05-26T06:21:49.396458Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Measuring statistical dependence with","venue":null,"work_id":"ecb80866-e1cc-40b7-aa3e-ac6fcb8516a8","year":2005},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:3bf79d9aaf41b4e3e2e3a9b23011142c6a4b1230420fd0a92944213320343c68","observation_id":"d33f6521-d628-4564-b7bc-42254a082508","resolution":{"observed_at":"2026-05-26T06:21:49.404302Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"InterStat , volume=","venue":null,"work_id":"a90dd689-1cb2-407d-9cc4-cb75c3b8cbaa","year":null},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:fa8d4ea684ff67ec44ca425cd09614df90f7399649d7292de5b6146cb2d94222","observation_id":"3125a2f2-f558-4aeb-a2b4-6b44f8570286","resolution":{"observed_at":"2026-05-26T06:21:49.380502Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Communications in Statistics---Simulation and Computation , volume=","venue":null,"work_id":"9e2f5b9d-2ef7-44d5-a852-02886a6596a1","year":2007},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:d40b3b34886c4fb2433566f5fd081c475a40b8ff3d7f6c446f514552052530ee","observation_id":"714c4876-0b18-4237-aadf-8681e0c37be3","resolution":{"observed_at":"2026-05-26T06:21:49.375567Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"The American Statistician , volume=","venue":null,"work_id":"d738eebd-95d6-4fb7-9397-2008c9ca7855","year":2002},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:4c5b66558ac1bc78d74710c112510de6e7d0953302a32083b7a9fd633b479f2d","observation_id":"b910bcab-7c90-43df-8ce9-099207768a29","resolution":{"observed_at":"2026-05-26T06:21:49.413195Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Biometrika , volume=","venue":null,"work_id":"42440721-1df1-49c9-b9d6-fc9a3d238ee8","year":2024},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:d1cab70318258c5e0cfe67febb4a234553fd91ad3b76b2958caa2bd4e6e350a6","observation_id":"98482e1d-a2de-4011-b483-ec576083c0e3","resolution":{"observed_at":"2026-05-26T06:21:49.460175Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Computational Statistics , volume=","venue":null,"work_id":"e0b956d9-4e29-4df0-aded-5e091d7cdc78","year":2020},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:7f363c60dd8d379089160047f5528eee84105128314e26fbc35d83bbed39babf","observation_id":"9547571f-908b-46f1-b125-cdfa8be9576f","resolution":{"observed_at":"2026-05-26T06:21:49.362832Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Monte Carlo tests with nuisance parameters: A general approach to finite-sample inference and nonstandard asymptotics","venue":null,"work_id":"a7139ca4-151e-41a6-8a49-3585e41a4ec4","year":2006},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:69163cf3d6d32c5b5d656a99899146d01d227870af9d57c343babe169973c0db","observation_id":"77519e9f-e989-41b7-8c06-b1b6ba27f76a","resolution":{"observed_at":"2026-05-26T06:21:49.359296Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.09521","last_updated":"2025-02-04T16:42:33Z","snapshot_observed_at":"2026-07-06T18:30:37.311343Z","submitted_at":"2024-06-13T18:17:03Z","title":"Randomization Inference: Theory and Applications","version":2},"cited_work":{"arxiv_id":"2406.09521","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2406.09521","snapshot_observed_at":"2026-07-02T08:26:47.719390Z","title":"Ritzwoller, Joseph P","venue":null,"work_id":"ece4d4b5-442a-4261-bae2-1f117af1b42c","year":2025},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"cited_paper":"/paper/2406.09521","citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:5c9739a726df464102e010ff8ba4c47b8951fe837fbb753997ee8a28d044d228","observation_id":"046037d5-ef8a-47e5-a3d9-1e352369e9b9","resolution":{"observed_at":"2026-05-09T06:55:45.493676Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"A Review of Multivariate Permutation Tests: Findings and Trends , journal =","venue":null,"work_id":"5a9568dc-8057-4eb5-8d3e-3d79a3ba926b","year":2025},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:4cdc7c89bcb715d61501b4447862498f3ba705d92b3995b6c975c47698ef68fb","observation_id":"a53bd0a6-647f-4c6d-836b-8c59ad158bec","resolution":{"observed_at":"2026-05-26T06:21:49.456489Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"title =","venue":null,"work_id":"b1f8ac82-8555-4f9c-b385-6c25c9ee47cc","year":null},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:a7e148dbe8c9052b1a6de0dd5af5b791e30e5741b1ab7ba7ad6a191138d7d426","observation_id":"c03df804-987e-4712-a594-6b23d46c0707","resolution":{"observed_at":"2026-05-26T06:21:49.366707Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-07T02:13:08.689503Z","title":"2009 , publisher=","venue":null,"work_id":"8d8e5c55-6b06-4050-b09f-839b85c4652a","year":2009},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:8d56dd5c9cd209e6d2e89b99642b1b6d64619f528d52442cdb305ba02e97b156","observation_id":"4399ca9a-8209-44b4-96af-d7d42369edcb","resolution":{"observed_at":"2026-05-26T06:21:49.464148Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"The Annals of Mathematical Statistics , volume=","venue":null,"work_id":"ca2bab6a-8524-42d1-a58b-d272fde07af7","year":1960},"citing_paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-05-08T17:55:57.444042Z"},"links":{"citing_paper":"/paper/2605.03886"},"observation_digest":"sha256:418143e3afa332a810a550345e03ae37adfa69d2f8296d01bd1b8a36e650649f","observation_id":"bac17fcd-99f8-45f8-a4a1-be0a8aea7399","resolution":{"observed_at":"2026-05-26T06:21:49.471956Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2605.03886","last_updated":"2026-05-05T15:45:59Z","latest_version":1,"primary_category":"stat.CO","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:45:59Z","title":"More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests"},"reference_resolution":{"displayed":40,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":2,"verified_fuzzy":36},"total_outbound_references":40},"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":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"thesis":"As of 6 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2605.03886."}