{"as_of":"2026-08-19T12:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8ae8d934b413a05e35cf5e94822d57f047be318e6344a867828500c774e287cb","coverage":[{"denominator":13,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":13,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-19T08:26:22.124356Z","state":"measured"},{"denominator":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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":"2026-08-03T09:09:24.022404Z","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":"2506.22166","last_updated":"2026-04-30T06:08:08Z","snapshot_observed_at":"2026-08-02T10:20:38.947104Z","submitted_at":"2025-06-27T12:27:13Z","title":"Critical gradient optimization for quasi-isodynamic stellarators","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.22166","snapshot_observed_at":"2026-08-03T09:09:24.022404Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2601.14886","last_updated":"2026-06-02T13:08:12Z","snapshot_observed_at":"2026-08-03T09:09:17.256705Z","submitted_at":"2026-01-21T11:17:38Z","title":"Piecewise omnigenous magnetohydrodynamic equilibria as fusion reactor candidates","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-03T09:09:24.022404Z"},"links":{"cited_paper":"/paper/2506.22166","citing_paper":"/paper/2601.14886"},"observation_digest":"sha256:bcbf031b327be8d2c12e709908d125ae861ee51551a94e54f658c522941f7f65","observation_id":"622486db-e138-4583-b7c7-01a0ea9628db","resolution":{"observed_at":"2026-08-03T09:09:24.022404Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2506.22166/citation-record","integrity":"/paper/2506.22166/integrity","json":"/paper/2506.22166/citation-record.json","paper":"/paper/2506.22166"},"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":"F., Sarazin, Y., Dif-Pradalier, G","venue":null,"work_id":"3ce0524b-f54b-475a-9583-441fc59fefbb","year":2009},"citing_paper":{"arxiv_id":"2506.22166","last_updated":"2026-04-30T06:08:08Z","snapshot_observed_at":"2026-08-02T10:20:38.947104Z","submitted_at":"2025-06-27T12:27:13Z","title":"Critical gradient optimization for quasi-isodynamic stellarators","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-19T08:26:22.124356Z"},"links":{"citing_paper":"/paper/2506.22166"},"observation_digest":"sha256:7c5967b1f1d7e839faff6e8f422e6c80063f135fc8006dbabc5b27b4a843df56","observation_id":"ab54355a-2e2a-4f61-b225-71f6eecbd1e4","resolution":{"observed_at":"2026-05-19T08:27:12.905505Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"1981 Plasma equilibrium with rational magnetic surfaces.Physics of Fluids 24, 1999–2003","venue":null,"work_id":"f99e52eb-f933-4d9d-823b-8d540377fabe","year":1981},"citing_paper":{"arxiv_id":"2506.22166","last_updated":"2026-04-30T06:08:08Z","snapshot_observed_at":"2026-08-02T10:20:38.947104Z","submitted_at":"2025-06-27T12:27:13Z","title":"Critical gradient optimization for quasi-isodynamic stellarators","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-19T08:26:22.124356Z"},"links":{"citing_paper":"/paper/2506.22166"},"observation_digest":"sha256:ff868015d362cdf079f0541da982d3f7dcdb9ee8c5b009f6445801c4ea2107e2","observation_id":"e8ee0aaa-3976-4046-9ee0-febb7e07966f","resolution":{"observed_at":"2026-05-19T08:27:12.898073Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.17757","last_updated":"2025-05-23T11:29:53Z","snapshot_observed_at":"2026-08-07T16:40:08.230644Z","submitted_at":"2025-05-23T11:29:53Z","title":"Tightening energetic bounds on linear gyrokinetic instabilities","version":1},"cited_work":{"arxiv_id":"2505.17757","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.17757","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Costello, P","venue":null,"work_id":"6c9f18b2-bed3-4b70-89b4-6a17389ccdd2","year":1983},"citing_paper":{"arxiv_id":"2506.22166","last_updated":"2026-04-30T06:08:08Z","snapshot_observed_at":"2026-08-02T10:20:38.947104Z","submitted_at":"2025-06-27T12:27:13Z","title":"Critical gradient optimization for quasi-isodynamic stellarators","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-19T08:26:22.124356Z"},"links":{"cited_paper":"/paper/2505.17757","citing_paper":"/paper/2506.22166"},"observation_digest":"sha256:33d9756550d101e39da140469c18ca806001fab503825ac8194bcdf1384ef93b","observation_id":"3bb8cd02-1798-438f-92e0-f15bc679017a","resolution":{"observed_at":"2026-05-19T08:27:11.232998Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"Garcia-Regaña, J","venue":null,"work_id":"cc200e4a-a182-460e-a253-240b96dbacd2","year":2024},"citing_paper":{"arxiv_id":"2506.22166","last_updated":"2026-04-30T06:08:08Z","snapshot_observed_at":"2026-08-02T10:20:38.947104Z","submitted_at":"2025-06-27T12:27:13Z","title":"Critical gradient optimization for quasi-isodynamic stellarators","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-19T08:26:22.124356Z"},"links":{"citing_paper":"/paper/2506.22166"},"observation_digest":"sha256:297fd31186c9b4282d476c8d2ab143e72a7190778954c89e4ae9b1658362d56d","observation_id":"d95637f8-08a3-4bf8-8b60-e5a4cb476c30","resolution":{"observed_at":"2026-05-19T08:27:12.894125Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"a5ee1b36-b3da-4cc1-874b-6eda8f8f9425","year":2024},"citing_paper":{"arxiv_id":"2506.22166","last_updated":"2026-04-30T06:08:08Z","snapshot_observed_at":"2026-08-02T10:20:38.947104Z","submitted_at":"2025-06-27T12:27:13Z","title":"Critical gradient optimization for quasi-isodynamic stellarators","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-19T08:26:22.124356Z"},"links":{"citing_paper":"/paper/2506.22166"},"observation_digest":"sha256:ad8562cfb3c015f362eb46a4b53665d885e29afa0bf37e5d667a42437a9ca07f","observation_id":"86ad8c65-13f6-45fa-a09d-cf019a6dac57","resolution":{"observed_at":"2026-05-19T08:27:12.890532Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"c2ebb178-f57f-49b9-8992-0ea314aaaf1d","year":2024},"citing_paper":{"arxiv_id":"2506.22166","last_updated":"2026-04-30T06:08:08Z","snapshot_observed_at":"2026-08-02T10:20:38.947104Z","submitted_at":"2025-06-27T12:27:13Z","title":"Critical gradient optimization for quasi-isodynamic stellarators","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-19T08:26:22.124356Z"},"links":{"citing_paper":"/paper/2506.22166"},"observation_digest":"sha256:cb75872d1b35d0a22d4611ee6da17186e14911939cf46ac1d5f853e53d35b5b6","observation_id":"072a8587-6c39-410c-8d61-914ddcf4afd7","resolution":{"observed_at":"2026-05-19T08:27:12.886895Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.11657","last_updated":"2025-06-03T13:56:01Z","snapshot_observed_at":"2026-08-18T09:11:22.214836Z","submitted_at":"2025-02-17T10:48:26Z","title":"How does ion temperature gradient turbulence depend on magnetic geometry? Insights from data and machine learning","version":2},"cited_work":{"arxiv_id":"2502.11657","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2502.11657","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"H E & Plunk, G","venue":null,"work_id":"53bc824b-d533-4ba9-a291-d523481c52d4","year":2013},"citing_paper":{"arxiv_id":"2506.22166","last_updated":"2026-04-30T06:08:08Z","snapshot_observed_at":"2026-08-02T10:20:38.947104Z","submitted_at":"2025-06-27T12:27:13Z","title":"Critical gradient optimization for quasi-isodynamic stellarators","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-19T08:26:22.124356Z"},"links":{"cited_paper":"/paper/2502.11657","citing_paper":"/paper/2506.22166"},"observation_digest":"sha256:8cbd8a5390468b001cce8d22d1fd976b115537bbd33a84525b6ef504e022474d","observation_id":"e27c1946-b057-46da-8714-599ea076e5ca","resolution":{"observed_at":"2026-05-19T08:27:11.238547Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"Nemov, V","venue":null,"work_id":"7cddd73b-986c-45a6-b1c8-c18e46e00bb7","year":2022},"citing_paper":{"arxiv_id":"2506.22166","last_updated":"2026-04-30T06:08:08Z","snapshot_observed_at":"2026-08-02T10:20:38.947104Z","submitted_at":"2025-06-27T12:27:13Z","title":"Critical gradient optimization for quasi-isodynamic stellarators","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-19T08:26:22.124356Z"},"links":{"citing_paper":"/paper/2506.22166"},"observation_digest":"sha256:d9bedacdd82d9641c6ec19d01921c2e1381866be4fa79781305b0a360d261ff5","observation_id":"bdbaec7e-22e2-4810-9c27-5e1a4b03bb64","resolution":{"observed_at":"2026-05-19T08:27:12.883103Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"ab9675b1-2218-47d0-8883-09d88603f0d3","year":2013},"citing_paper":{"arxiv_id":"2506.22166","last_updated":"2026-04-30T06:08:08Z","snapshot_observed_at":"2026-08-02T10:20:38.947104Z","submitted_at":"2025-06-27T12:27:13Z","title":"Critical gradient optimization for quasi-isodynamic stellarators","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-19T08:26:22.124356Z"},"links":{"citing_paper":"/paper/2506.22166"},"observation_digest":"sha256:35d82398a5dc7d875923a264e5190902bbc19ce277bfdf5bbf8d2929cf6066c1","observation_id":"42686462-72a3-4de6-9bf9-9f50384db6ea","resolution":{"observed_at":"2026-05-19T08:27:12.879365Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"ddf0559a-6409-4ad9-a31e-87641bd65e22","year":2023},"citing_paper":{"arxiv_id":"2506.22166","last_updated":"2026-04-30T06:08:08Z","snapshot_observed_at":"2026-08-02T10:20:38.947104Z","submitted_at":"2025-06-27T12:27:13Z","title":"Critical gradient optimization for quasi-isodynamic stellarators","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-19T08:26:22.124356Z"},"links":{"citing_paper":"/paper/2506.22166"},"observation_digest":"sha256:18cb84d55a904b8969d57a42c0d30fc37816a450f29d6a9622001b85b8d1e161","observation_id":"9c0efc8f-2804-4969-b1f9-bbc984c69cc4","resolution":{"observed_at":"2026-05-19T08:27:12.875685Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"Plunk, G","venue":null,"work_id":"36f99852-05d4-4aca-a8dd-1bdec83b2ec1","year":2024},"citing_paper":{"arxiv_id":"2506.22166","last_updated":"2026-04-30T06:08:08Z","snapshot_observed_at":"2026-08-02T10:20:38.947104Z","submitted_at":"2025-06-27T12:27:13Z","title":"Critical gradient optimization for quasi-isodynamic stellarators","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-19T08:26:22.124356Z"},"links":{"citing_paper":"/paper/2506.22166"},"observation_digest":"sha256:8bf071cf78d2e04f57eb15682a67c8d55aa3fe2d34af479d98517e3f9d572642","observation_id":"6743a308-6f37-4155-b8cd-062f094776be","resolution":{"observed_at":"2026-05-19T08:27:12.901845Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"G., Xanthopoulos, P., Weir, G","venue":null,"work_id":"142e897d-d368-40f9-b5d1-b8ec032a55dd","year":2019},"citing_paper":{"arxiv_id":"2506.22166","last_updated":"2026-04-30T06:08:08Z","snapshot_observed_at":"2026-08-02T10:20:38.947104Z","submitted_at":"2025-06-27T12:27:13Z","title":"Critical gradient optimization for quasi-isodynamic stellarators","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-19T08:26:22.124356Z"},"links":{"citing_paper":"/paper/2506.22166"},"observation_digest":"sha256:b4de2123f4b555b01990f2ad71999ba0d711a225e4a0f77b0a5e0fb3279a56b5","observation_id":"a52bf1cd-fb80-4e7d-85b2-4504806ba910","resolution":{"observed_at":"2026-05-19T08:27:12.872027Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"T., Plunk, G","venue":null,"work_id":"71334d64-6723-483a-b385-ba16dad8a38c","year":2021},"citing_paper":{"arxiv_id":"2506.22166","last_updated":"2026-04-30T06:08:08Z","snapshot_observed_at":"2026-08-02T10:20:38.947104Z","submitted_at":"2025-06-27T12:27:13Z","title":"Critical gradient optimization for quasi-isodynamic stellarators","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-19T08:26:22.124356Z"},"links":{"citing_paper":"/paper/2506.22166"},"observation_digest":"sha256:25c6456a3678ae633eddb139666db360ea3b891717206a6255343040a04233c4","observation_id":"2a3a93c8-0c0d-4925-8e70-a09575891944","resolution":{"observed_at":"2026-05-19T08:27:12.868236Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.22166","last_updated":"2026-04-30T06:08:08Z","latest_version":2,"primary_category":"physics.plasm-ph","snapshot_observed_at":"2026-08-02T10:20:38.947104Z","submitted_at":"2025-06-27T12:27:13Z","title":"Critical gradient optimization for quasi-isodynamic stellarators"},"reference_resolution":{"displayed":13,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":2,"verified_fuzzy":7},"total_outbound_references":13},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2506.22166."}