{"as_of":"2026-08-18T00:45:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:366aa88eeba9102876de963b575ff909cce95c7541651b5e84cab8b98ef8d905","coverage":[{"denominator":91,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":91,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-09T05:16:59.118907Z","state":"measured"},{"denominator":91,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":91,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.07617/citation-record","integrity":"/paper/2607.07617/integrity","json":"/paper/2607.07617/citation-record.json","paper":"/paper/2607.07617"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T05:36:02.070177Z","title":"Aizenman and S","venue":null,"work_id":"1afaa323-3dbe-46fa-8e1b-c38be0c4b43b","year":2015},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:4c763c2d6c64444399c4a2970aef11ae66c51a0c2101c691831d0f525a7dfae3","observation_id":"acf03c86-3f57-4898-98aa-9536844159df","resolution":{"observed_at":"2026-07-09T05:36:02.071413Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.081785Z","title":"Akemann, J","venue":null,"work_id":"96ddb56a-cf0c-4160-b2d5-72da641e67c6","year":2011},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:34453087da745e6392f9c3e61779a6b7090812b43167c000ee8f08a0eb2d3951","observation_id":"0c395878-75ff-4365-af80-1277a60b963c","resolution":{"observed_at":"2026-07-09T05:36:02.082954Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.058478Z","title":"Akemann and Y","venue":null,"work_id":"2b70da2e-fa97-45ef-ae75-d14dde9e8a78","year":2003},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:29de0af73b97d67926010c189c27aa24c609686aba01ef1dd782a6770f46e3fe","observation_id":"66d3bcb0-c0e0-4a36-aa76-efe3c15788cf","resolution":{"observed_at":"2026-07-09T05:36:02.059776Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.052433Z","title":null,"venue":null,"work_id":"77f69fcd-defd-461e-8b0f-2edca7c834e1","year":2019},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:3a84cad0a69e6e5bc94252616aada1fff7088cb5bca19c6b7687680295dfae5c","observation_id":"20cf98fd-25fb-4ee0-9879-714ed56182d1","resolution":{"observed_at":"2026-07-09T05:36:02.053695Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.056503Z","title":null,"venue":null,"work_id":"61b6a82d-c9d0-49dd-aefc-2aa00ddb4193","year":1999},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:d43bc2271117ab06520a4c10892b6a108b4d559dbf1806c000ba9d6b3c84b97c","observation_id":"c2551b1d-9b54-4dd8-b2cf-316595ab836b","resolution":{"observed_at":"2026-07-09T05:36:02.057834Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.060428Z","title":null,"venue":null,"work_id":"901b4fb8-d6b8-4c5d-88bc-5bb5c612fa45","year":2003},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:955026c3312ca64055811c3add117b26d2ae55fbab0bf603f8f2c94a86d60929","observation_id":"439cb738-56e6-481b-bb79-afb74418252b","resolution":{"observed_at":"2026-07-09T05:36:02.061636Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.062272Z","title":"Bauerschmidt, J","venue":null,"work_id":"6e36d900-9eec-40f5-bb78-8e566784ed54","year":2017},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:0c2abc1328f6ca842991342f1f297ea024f85952273f8f22545bd0bd83d02832","observation_id":"ecad5c44-52e4-479c-87e1-15346b0b0107","resolution":{"observed_at":"2026-07-09T05:36:02.063576Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.141087Z","title":"Bauerschmidt, J","venue":null,"work_id":"7b89dfb9-e658-4742-9056-94e4cbe24473","year":2020},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:b46417dfb306a96fe64db171c276d0ef32b61883ee8f600d753b2324870174bb","observation_id":"825d1085-f8c9-41fa-864d-78198cd94136","resolution":{"observed_at":"2026-07-09T05:36:02.142471Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.145153Z","title":"Bauerschmidt, A","venue":null,"work_id":"7ba83074-794e-4eab-8bf3-619ab7108852","year":1960},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:d11a802c221edd008c8e565509aefa1b7a41be7ada0b83e18d7ff17cbfbc3c53","observation_id":"b6d71501-995b-409f-ae50-81fcbc84ae66","resolution":{"observed_at":"2026-07-09T05:36:02.146420Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:01.990930Z","title":null,"venue":null,"work_id":"d198f3dc-2a0d-44fc-9078-a2ca58803a59","year":2012},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:17f4893e04c99a6bd8b15b8176f8f806c538be5932849f2735fe2958a9188bc8","observation_id":"98808358-c3c5-4a7b-8168-20f8f01a86a6","resolution":{"observed_at":"2026-07-09T05:36:01.992153Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.133656Z","title":"Bekerman, A","venue":null,"work_id":"7d0350be-a9a5-45ca-af6f-fa2bfdac3ff3","year":2015},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:6a64db4121c044268397e83cfa1a47d5477d0f68700fd2ceb61b424de297431c","observation_id":"89a2b858-6453-43e2-b805-ca2933de76ed","resolution":{"observed_at":"2026-07-09T05:36:02.134953Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.054354Z","title":"Bohigas, M.-J","venue":null,"work_id":"8f285efd-c31d-4830-a03a-d580771bf321","year":1984},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:7959f2a439929675a09f7e3c47adb5f871e5967580f7494fc5be6ba8f3209812","observation_id":"45055277-dd79-41a1-b9f7-b952623fe52b","resolution":{"observed_at":"2026-07-09T05:36:02.055709Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.050411Z","title":"Borodin and E","venue":null,"work_id":"890c6e73-68c1-46ea-bf0f-28b0064b824e","year":2006},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:f26f5847215dee3c0e18dafc668d0426d01525853f6fe2253acd4214f5f8b8a8","observation_id":"e4ed59c0-bf90-4b36-a091-65919a851611","resolution":{"observed_at":"2026-07-09T05:36:02.051766Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.068363Z","title":"Borot and A","venue":null,"work_id":"14b65402-a0c1-4239-be70-3c041e30a7e0","year":2013},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:a4953c2c3f153815deecea3aef3a6853db5e3341921e79f236a9018eee2d55b6","observation_id":"cf7564e8-90f8-4775-bcf0-791cdd58e122","resolution":{"observed_at":"2026-07-09T05:36:02.069507Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.074041Z","title":"Borot, A","venue":null,"work_id":"795fcc34-3884-4fd7-ade1-439dcd025300","year":2015},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:a49a14aa66a404601a8398c05147fa1c0ac123aeba1619811754e1070a1d3419","observation_id":"e34b5e24-8b61-445f-aca0-b9234fe222cf","resolution":{"observed_at":"2026-07-09T05:36:02.075512Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.138889Z","title":"Bourgade, L","venue":null,"work_id":"f2330108-6726-4554-94dc-bd3710485462","year":2014},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:c6b779d6909f10743f9f00e05ff1e7adcf394f2609ee8670ed9ad0e98ab0bec6","observation_id":"8d7873fd-b063-495e-9165-81cf6fef665a","resolution":{"observed_at":"2026-07-09T05:36:02.140388Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.031399Z","title":"Bourgade, L","venue":null,"work_id":"8dcb5019-aac6-4964-96a8-91435793c17f","year":2014},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:2951d02fcffd7905e443e6d39917001a823689ca7e85cef448359f6b6faac97a","observation_id":"81c73764-e6e7-41fa-9d91-bc45f0a761ee","resolution":{"observed_at":"2026-07-09T05:36:02.032692Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.033425Z","title":"Bourgade, L","venue":null,"work_id":"d1660521-bb64-42bf-b4c8-2af7122d08c2","year":2016},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:a99916d1974d36fba1ca92a2e83f682dfb8bfe86961618a2c518ee7ed313f088","observation_id":"0b2f35a9-d86a-4f66-8a3f-a2a0fd4b0037","resolution":{"observed_at":"2026-07-09T05:36:02.034819Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.042514Z","title":"Bourgade, K","venue":null,"work_id":"cac5ef3f-d712-4248-952c-bd630e20561a","year":2022},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:6b78d2baf1213f352265c4bb99b0bd15cf628c797ad7c7b1f35963969c665568","observation_id":"9271556c-8d66-4b7d-a850-efaae998cc25","resolution":{"observed_at":"2026-07-09T05:36:02.043774Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.129811Z","title":"Bourgade, M","venue":null,"work_id":"77826f92-f70a-4e33-8e0b-42359719347d","year":null},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:c36583d22087a2c4f475ba2bb7477721e2c2ac1efeec63bf992b317981c0ff93","observation_id":"6a88cc5d-b714-4bf5-969d-6bbb0678e9b4","resolution":{"observed_at":"2026-07-09T05:36:02.131053Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.016923Z","title":"Bourgade and H.-T","venue":null,"work_id":"7aa3b84e-f989-4bb8-adec-961e45c42a6a","year":2017},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:a7727e8033d0643a856ae1dcaf51ea71cd143fc39e738b9e43f687efc0347fd9","observation_id":"6a083ec8-5eac-4899-9f13-e29bfd6d0494","resolution":{"observed_at":"2026-07-09T05:36:02.018301Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.023196Z","title":"Chalykh, M","venue":null,"work_id":"b053ec0d-33aa-486b-89b5-ab5a3b6b635c","year":1998},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:718e17e2cf8f0aff5b5bb8c39a702885bce4f8de00184d76b1a9676dcce6e5b9","observation_id":"8da98b00-84c4-4587-99cd-360be73322a0","resolution":{"observed_at":"2026-07-09T05:36:02.024550Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.048481Z","title":"Cipolloni, L","venue":null,"work_id":"b897b214-dca4-4ee1-8051-a5e3f83ba87a","year":2021},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:3836fac45965496df361a25b86a0fd7ce15c21ead2a43fb06a98f8a7e59eae48","observation_id":"d76e6cdc-4dee-45f5-9c0b-81c27228b4cf","resolution":{"observed_at":"2026-07-09T05:36:02.049752Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math-ph/0511024","last_updated":"2007-09-09T16:52:30Z","snapshot_observed_at":"2026-07-07T06:16:04.921809Z","submitted_at":"2005-11-06T22:53:54Z","title":"Howe pairs, supersymmetry, and ratios of random characteristic polynomials for the unitary groups U(N)","version":2},"cited_work":{"arxiv_id":"math-ph/0511024","doi":null,"metadata_source":"pith","pith_arxiv_id":"math-ph/0511024","snapshot_observed_at":"2026-07-09T05:26:02.083481Z","title":"Conrey, D.W","venue":"math-ph","work_id":"e75411d2-2d30-4b6d-ab27-e6a662ba1ba4","year":2005},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"cited_paper":"/paper/math-ph/0511024","citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:5b4e98901cf100e68306da9d04d952ffdabad4041d47ce418af7fffb1af7aea8","observation_id":"1b23df4a-a350-4b45-b8b2-8d61cad157e3","resolution":{"observed_at":"2026-07-09T05:26:02.085337Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:01.983469Z","title":null,"venue":null,"work_id":"840667c7-bc03-4105-80a7-06c366afd253","year":2012},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:12e7aecd2259afcfcb720dd262fc4b4728036405be0d4bb91fa01d34b74878ad","observation_id":"3c5b597c-22af-42fb-b933-fcd363854b6d","resolution":{"observed_at":"2026-07-09T05:36:01.984901Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:01.985509Z","title":"Deift.Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach: A Riemann- Hilbert Approach, volume 3","venue":null,"work_id":"cb9e974c-56c6-4bc0-bc10-7534b47f339e","year":2000},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:680c5e8cc6a1048d35fb1906186b1379ce1689c0b32e35b673e456f56e376b80","observation_id":"5a10b758-7378-43de-9697-7c5f63a1d696","resolution":{"observed_at":"2026-07-09T05:36:01.986991Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:01.992848Z","title":"Deift and D","venue":null,"work_id":"6f714a47-6435-4f6f-bd51-5c24416539ba","year":2009},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:4b8edd14339d9a4908e3d2ac8d70c482900e7f5f64a8f8c862fe0f19e458ff9d","observation_id":"1d1f1f1f-96cd-4f2d-8a33-11933f3aa3be","resolution":{"observed_at":"2026-07-09T05:36:01.994183Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:01.996726Z","title":"Dereudre, A","venue":null,"work_id":"17506ec5-57de-4328-93c1-d71e4ae63aee","year":2021},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:d9ba10b7688109f2145f71789c4feecff07eab6fc68ccc3c1ea48ed7ea73a06e","observation_id":"440935de-849d-4379-aa37-a3fae5a26171","resolution":{"observed_at":"2026-07-09T05:36:01.998165Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:01.981489Z","title":"Desrosiers","venue":null,"work_id":"caa684a6-7958-4e2d-852f-e02a7a750163","year":2009},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:0b6ad8c819e34c2d8310ebabda6e783e838cd67c67201ac6d751ef803c611c6e","observation_id":"0b313be5-57d2-4499-8cd6-071fa1bddcaa","resolution":{"observed_at":"2026-07-09T05:36:01.982776Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:01.998941Z","title":"Desrosiers and D.-Z","venue":null,"work_id":"41c9da39-f2bb-4c52-849c-c3c30f1e34a5","year":2014},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:d5d289d1fa401b666bc63afad26bfad048664c1eb3f3dfd3cebefc96b44e1bf9","observation_id":"f57c1c8b-1158-4cb6-8ca9-05574d784d20","resolution":{"observed_at":"2026-07-09T05:36:02.000234Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.046492Z","title":"Desrosiers and D.-Z","venue":null,"work_id":"6bc394de-de02-4240-af03-64850b7565db","year":2015},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:a4757313a4d2e75e4cade799345233eb8d9914fc6da56fa5873d11a573f2767e","observation_id":"47958473-a62a-4972-b3fd-c0caa48835b9","resolution":{"observed_at":"2026-07-09T05:36:02.047868Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.118557Z","title":null,"venue":null,"work_id":"304bb649-d6bd-4431-8218-4c7d874e85ae","year":null},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:4a24912f7c3d682a72bbdfc3cdd3af2a9b34c351e117c4d5ae4829aa80c47543","observation_id":"2f996086-be05-4d66-a28d-06ca739d555d","resolution":{"observed_at":"2026-07-09T05:36:02.119762Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.112692Z","title":"Erbar, M","venue":null,"work_id":"04821451-36c7-40ad-bdbb-4c15358b76b0","year":2021},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:c672aedfb15ff682ca749e0be31fb43452353a141858b31becae2354045e9d32","observation_id":"4c73d720-9baf-4de1-b300-8a64b3fb7b91","resolution":{"observed_at":"2026-07-09T05:36:02.113986Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.116700Z","title":"Erd˝ os, A","venue":null,"work_id":"99d4ec9e-6138-4158-abd4-fc85a4195d06","year":2013},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:e0e07943186c40057b65500c1929020fde4764befb7040db8e54a7d89cc635bd","observation_id":"5909e391-5394-4eed-a0ea-6770ef179964","resolution":{"observed_at":"2026-07-09T05:36:02.117959Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.120421Z","title":"Erd˝ os, S","venue":null,"work_id":"b8c91fc0-6a3f-4014-8792-cff20a8021bd","year":2010},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:8eba2b6562998c3b563ffe91db028d8320cc5cd579f3f8a907baed04e0a77444","observation_id":"36eba03a-23ba-45bb-aaf0-bc25383586eb","resolution":{"observed_at":"2026-07-09T05:36:02.121714Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.124035Z","title":"Erd˝ os, B","venue":null,"work_id":"ae42bed4-55d5-4e6b-8539-21b9ceb062db","year":2009},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:ee949fdbedd0a039a52a6c3199cc31bc86be62258f76603a7d24b5d1b62e560d","observation_id":"b66b56ab-29d3-462e-abb6-c90bb0b11449","resolution":{"observed_at":"2026-07-09T05:36:02.125189Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.143139Z","title":"Erd˝ os, B","venue":null,"work_id":"c48a1264-3e02-4edd-85a6-7b27db052b82","year":2011},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:2367619150361fa993ed31a16949b9e8966a5524e517af1286eb4a429db1b87c","observation_id":"dffa5688-a703-41df-8f5c-8e8a337fbd78","resolution":{"observed_at":"2026-07-09T05:36:02.144490Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.104778Z","title":"Erd˝ os, B","venue":null,"work_id":"7aed75b0-b749-45be-82e5-8e0f80534fdf","year":2012},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:f7b15ee52f8b4bda6bc7a7127ab584bf71ece4e8f28984be33321351d8e06149","observation_id":"578cefd0-843d-42e2-9d81-fdbebb0e1e41","resolution":{"observed_at":"2026-07-09T05:36:02.106116Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.106762Z","title":"Erd˝ os and H.-T","venue":null,"work_id":"8cb3c25b-9a26-4418-aa90-2c52c9cc6195","year":1927},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:3a7605b3406aca3990a993dbc4785f010bbfa90f16e8bdc432973906b9df72e6","observation_id":"52a9033c-0d91-4227-ac25-d952b4634743","resolution":{"observed_at":"2026-07-09T05:36:02.108131Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.131655Z","title":"Erd˝ os and H.-T","venue":null,"work_id":"886f3cfe-fe2d-4381-81ce-7ddcb0fb15e9","year":2017},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:9b1ffcaa9643e90ee54e2d808bc01b0dce26e1af15615dd08c5300c067a6d071","observation_id":"70d565c9-04b3-48ed-a156-2803ec9a1efd","resolution":{"observed_at":"2026-07-09T05:36:02.132986Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.076210Z","title":"Erd˝ os, H.-T","venue":null,"work_id":"e4062697-eae5-4389-b41f-cfdb0ce9f9d4","year":2012},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:00676d32c45de361c23d2d4302bb56f0fadc6c027e10d6cabb4587ceefe68d50","observation_id":"ee0d8b2c-465f-4e83-b3b2-cad941d00753","resolution":{"observed_at":"2026-07-09T05:36:02.077467Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.080012Z","title":"Erd˝ os, H.-T","venue":null,"work_id":"9d82ecc7-0f04-4655-bb06-eb486f6bfe29","year":2012},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:9ea3eb223a15de5e732cc09b32d04a481ea642e656ec77b5423e443d2ba97ea1","observation_id":"9646d3ff-f6e8-4bbf-a9bb-75c3afb09bab","resolution":{"observed_at":"2026-07-09T05:36:02.081173Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.089015Z","title":"Eynard and N","venue":null,"work_id":"3e43524e-03c7-4ef6-9823-a02bb427c8af","year":2007},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:6b63fe755de4d194d783ca496a7671fb957e0d4133b2cf5f9ac09f7fcd22fe7f","observation_id":"5b87d368-47a0-4d7d-9ed1-653141d96820","resolution":{"observed_at":"2026-07-09T05:36:02.090279Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.090956Z","title":"Figalli and A","venue":null,"work_id":"ec18d5ce-faa8-478e-9182-778c0c8b730f","year":2016},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:86098f27c80ea9153735ea3123a41e18cb55db92a0267089e33b1df7fca3aaf6","observation_id":"2508f633-f58a-4d8e-99ce-e7985d90d6bd","resolution":{"observed_at":"2026-07-09T05:36:02.092194Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.07144","last_updated":"2025-01-13T09:08:24Z","snapshot_observed_at":"2026-08-16T12:59:07.522895Z","submitted_at":"2025-01-13T09:08:24Z","title":"Dualities in random matrix theory","version":1},"cited_work":{"arxiv_id":"2501.07144","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.07144","snapshot_observed_at":"2026-07-09T05:26:02.076279Z","title":"Forrester,Dualities in random matrix theory","venue":"math-ph","work_id":"9d9474fb-d41f-4f10-b813-f59ead6889e4","year":2025},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"cited_paper":"/paper/2501.07144","citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:927d3091f2a7c119acdd67f167b6c136ecab11e342d5df2d2309b67cffd845e1","observation_id":"126de3cf-89d5-4a6a-910a-7daaf1981cc6","resolution":{"observed_at":"2026-07-09T05:26:02.077790Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.066523Z","title":"Gallavotti and E","venue":null,"work_id":"d78fb3e2-ff17-4fc8-ade5-9775f4dbbaa0","year":1975},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:80a437fd175b37b1ff781b54ccc73107496d869f3ca2dc805fe12610ec4850a1","observation_id":"64102ed6-6de7-44fd-9239-7a0fd0e35ca4","resolution":{"observed_at":"2026-07-09T05:36:02.067751Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.078090Z","title":"Genovese and S","venue":null,"work_id":"b30eadde-4faa-496e-bbd5-0808c8952603","year":2012},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:fcb1a4981a3dcb54d1923c75b43fdb67b4f49e50cb46e64c65d1a1c328d220b6","observation_id":"2bd03fbf-9f84-4caf-8a88-91e8a2a8a3e6","resolution":{"observed_at":"2026-07-09T05:36:02.079396Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.096450Z","title":"Guionnet.Asymptotics of random matrices and related models: the uses of Dyson-Schwinger equa- tions, volume 130","venue":null,"work_id":"3da29c6e-425e-442f-b297-d6cdf6a96421","year":2019},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:7d04b8f6cfdd301c2218c4ff8907aeb76dee2259ac874605b14844b01e9e83fc","observation_id":"53f771f4-32e4-4821-b3f0-4e2b34f33b39","resolution":{"observed_at":"2026-07-09T05:36:02.098145Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:01.977475Z","title":null,"venue":null,"work_id":"bd0ff9f9-b0bc-4737-853a-c363d554a996","year":1994},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:27d4a0a32a3ac9c2588dfb40d273be0b7f71a1fcf5958e051e3139b06ab5906b","observation_id":"87f4e048-b02a-4ed0-b708-a330d0511adc","resolution":{"observed_at":"2026-07-09T05:36:01.978901Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.002859Z","title":"Halln¨ as","venue":null,"work_id":"74cb4949-521a-49ad-bd8c-186d0d86e790","year":2024},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:9388b7353b4f6479d7855303d4707ad7958dbf9889eaa9380213da7a1039bc57","observation_id":"b523341d-96a1-4c46-b5a6-e4629acb8a38","resolution":{"observed_at":"2026-07-09T05:36:02.007559Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:01.987643Z","title":null,"venue":null,"work_id":"1082dd32-5c48-49e1-a435-625860d40a44","year":2018},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:b8ba0eca780aa5c24a1e4e898019bbf3e29c11a5224b0b5d817de38b06e6936e","observation_id":"f3d0d304-daaf-4b14-ab0a-82063e6451fd","resolution":{"observed_at":"2026-07-09T05:36:01.989880Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.20263","last_updated":"2025-02-02T22:46:43Z","snapshot_observed_at":"2026-08-17T20:19:49.862228Z","submitted_at":"2024-12-28T20:34:12Z","title":"Ramanujan Property and Edge Universality of Random Regular Graphs","version":2},"cited_work":{"arxiv_id":"2412.20263","doi":"10.48550/arxiv.2412.20263","metadata_source":"pith","pith_arxiv_id":"2412.20263","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Huang, T","venue":"math.PR","work_id":"fb236f28-c6ad-4e95-a426-c20e663c56e7","year":2024},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"cited_paper":"/paper/2412.20263","citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:9a4e18251c18dbfd9a1bba559442ba2122284651fd575b5b733449813fc0155e","observation_id":"8cdcd056-3814-4872-a139-f0361c0da63f","resolution":{"observed_at":"2026-07-09T05:26:02.081206Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.029261Z","title":"Huang and H.-T","venue":null,"work_id":"08be97f5-7c00-4e55-9583-20effefd6138","year":2024},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:a3916fe1ea7588b2642277c4517386832405bc3835394326f9f6f36b02c5556d","observation_id":"9b1de1af-545f-4f73-9215-91fc8361a9a3","resolution":{"observed_at":"2026-07-09T05:36:02.030616Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2602.00975","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T05:26:02.087020Z","title":"Huang and H.-T","venue":null,"work_id":"813d1384-3a71-4cc2-b611-00c165ff7734","year":2026},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:25e0c568f18d7573c774ac534ce201dd35c229f9f87825a057dcafa44ab9e192","observation_id":"648e080d-68f4-4482-9912-42b1f5d02816","resolution":{"observed_at":"2026-07-09T05:26:02.088745Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.035501Z","title":"Huang and L","venue":null,"work_id":"d164e9e0-54a0-4bb6-ac98-4e0e2d5aa763","year":2026},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:57a5c8249db59644d808567c34b9b6fa29b4ba83fe9ee9b116af7d02c2789899","observation_id":"12875a20-d99d-4731-84dd-507967691853","resolution":{"observed_at":"2026-07-09T05:36:02.037049Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:01.994879Z","title":"Jakobson, S","venue":null,"work_id":"64cf7075-bcdb-42b2-a0a9-ae7004f41539","year":1999},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:ff9840025ab43f6808d7b9ff073e1df0481ad874b11b1fbe4518140d67947c29","observation_id":"1fc25753-9774-4602-b753-6e6f05c0e2a0","resolution":{"observed_at":"2026-07-09T05:36:01.996021Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:01.975479Z","title":"Johansson","venue":null,"work_id":"f96dfc4e-7349-4408-a059-cc9331f4f38c","year":1998},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:8018e51d402708ab1fd7acf67de217f4f9432d42d10fb0b3e2a4ccb50f7b4b9f","observation_id":"141d087c-a620-4a3f-ba27-e4a68d9762e1","resolution":{"observed_at":"2026-07-09T05:36:01.976806Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:01.979595Z","title":"Johansson","venue":null,"work_id":"cd950be8-c96a-4bf8-9016-903b293e5fa7","year":2000},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:1250b36381ae37186838ccef07b4f938207a53181e54021c5a2a2e16c791b9bb","observation_id":"89a7b17f-133e-42f6-a7fa-6a7b9d4d52d5","resolution":{"observed_at":"2026-07-09T05:36:01.980848Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.025218Z","title":"Johansson","venue":null,"work_id":"311d955e-d4d9-495c-afd0-0f45d90516ce","year":2001},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:b39dbb08772b63fc663996065b890304b69282f565651ca6b10f2f15651932a5","observation_id":"fac35eaa-2c1c-4025-9e80-d6ded9e9bb98","resolution":{"observed_at":"2026-07-09T05:36:02.026648Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:01.971169Z","title":"Kerov, A","venue":null,"work_id":"cf193e7a-93a9-4e72-91fb-8ea712472ea1","year":1998},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:e4ddba60c35cdf12a17fe6939dbc8deca801cd60c5be6a18cba3bf2edab6188c","observation_id":"7a51d5e7-6304-43ce-8888-fba833e64314","resolution":{"observed_at":"2026-07-09T05:36:01.972914Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:01.973577Z","title":"Kontsevich","venue":null,"work_id":"fdcf49cc-1bbe-4379-9f31-bf66a2a490c0","year":1992},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:e0e3a9901fa40a5fead2e421f63800d86883043e2e04e819f96e990d80593dfb","observation_id":"a43ac6ea-f321-4131-ab3d-ad34300d1772","resolution":{"observed_at":"2026-07-09T05:36:01.974856Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.147034Z","title":null,"venue":null,"work_id":"61734aab-35f4-44cb-bb19-504fd5329f02","year":2001},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:e757323170754a2f4d0cb50405e4261913c52a66abb70a90eb4b1669a700a7af","observation_id":"8c315d06-6bf4-4b5b-9daa-0b74cc74dceb","resolution":{"observed_at":"2026-07-09T05:36:02.148213Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.000962Z","title":"Landon, P","venue":null,"work_id":"ed66e949-aeb7-44ac-92cf-df3760eae86d","year":2019},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:b354cf6e2508cbd47f010bfdbf2dc78e1c4496c48054955924a45fbfb8895e76","observation_id":"648a0bc9-1487-4fc1-aea2-0620ae64705a","resolution":{"observed_at":"2026-07-09T05:36:02.002196Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.037794Z","title":"Lebl´ e and S","venue":null,"work_id":"c186b905-067b-4c3d-a8fb-6f151cf68b1d","year":2017},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:0ec63d71d033ab44c5361b760e5e62780209676a7b1159d01f58a30c5c5e4931","observation_id":"abfb9a69-63a6-40cd-a9f0-352a26d52f76","resolution":{"observed_at":"2026-07-09T05:36:02.039109Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.098867Z","title":"Lesage, V","venue":null,"work_id":"ce8e00e2-d981-4795-8a8d-298343eab6dc","year":1995},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:44289f9c7d085927fcbc1c7bf506f7b753469fec2137cc567bb2613884124fd7","observation_id":"6d2bec66-2ecf-439f-9f7c-931bd2f4465c","resolution":{"observed_at":"2026-07-09T05:36:02.100043Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.092866Z","title":null,"venue":null,"work_id":"c36d739a-1aaa-47da-ba10-1b4f9df548f7","year":1979},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:43252d0afaa5f8e149b7fbaade358476b78b3e0eeb0c01f87d68b797b0612a1c","observation_id":"adf5dfeb-b33b-4a82-acb2-2a5b99df09e4","resolution":{"observed_at":"2026-07-09T05:36:02.094173Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.094796Z","title":null,"venue":null,"work_id":"8bd79ecd-2721-42d5-9022-087653b191dc","year":1988},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:ebaf3a0bf94675f3cf1ba5db8f60c04ef6b6fc69989de8c9d2a58c54b9d521f5","observation_id":"c2ef5c84-b523-4a38-8ab7-5f4dc5363bd1","resolution":{"observed_at":"2026-07-09T05:36:02.095864Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.100613Z","title":null,"venue":null,"work_id":"c593251f-d7cc-42f2-9127-5cd953f247fe","year":2004},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:f5a6e4e74dc8ef71a79e84fea58e61483428ea3e75156570d6227149ea68f259","observation_id":"6177d694-2e4f-4183-b789-4424b118814b","resolution":{"observed_at":"2026-07-09T05:36:02.101942Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.108785Z","title":null,"venue":null,"work_id":"63653110-56de-4fc3-9ba0-74ebaaed89d9","year":1983},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:14d665f4cbc0ea2af98016198b353d3c4192f1ac361380a1b2a5dadbc95f8993","observation_id":"b04b241f-87b8-4c5f-bebc-b8c1124254fc","resolution":{"observed_at":"2026-07-09T05:36:02.110116Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.125848Z","title":null,"venue":null,"work_id":"a127dcae-98bc-4315-b2f7-8322c5c0ab08","year":1973},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:2332eb2999f8d99c3d44924cfa4210d4cd14247f2df4fd1addd1602fe85dfec1","observation_id":"7d9648da-49d3-4168-940a-f4cbfb0d394c","resolution":{"observed_at":"2026-07-09T05:36:02.127216Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.087278Z","title":null,"venue":null,"work_id":"307fb908-81c2-482a-b618-ef7b461547ac","year":1955},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:79f342549424e771741ae7c89483afbab94277f760c438b0351d87d396a4f4ad","observation_id":"aa6fcf8c-9a16-483f-838b-5dd069a9d2ac","resolution":{"observed_at":"2026-07-09T05:36:02.088396Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.072021Z","title":null,"venue":null,"work_id":"6fc62427-8bd0-4917-881a-440d1c1b3534","year":2017},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:7feba91dff2642d701ebc210b9c316b0cad8cd266649f85fdd11fdcac25e6725","observation_id":"bceaacd1-7f30-486e-97bf-169eab440ada","resolution":{"observed_at":"2026-07-09T05:36:02.073205Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.085419Z","title":null,"venue":null,"work_id":"f05f185c-01f2-4281-bd15-b41225fdace7","year":1987},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:2814ade57b48e6175397ea0d337f5ade1724256efe8098a272134836171e8642","observation_id":"daeb015c-4c6b-4eaa-a9b8-39091d064f14","resolution":{"observed_at":"2026-07-09T05:36:02.086613Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"th/9702001","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T05:26:02.072665Z","title":"Okounkov","venue":null,"work_id":"c3feb7d1-e5c5-4f64-acff-a18553741a7d","year":1997},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:366e04e2d306f0954d37891b4fc008499c7732bf509dd4e792971d7e0d65662d","observation_id":"20d8a19b-d3b0-4f17-b9c9-2e83d2b991a3","resolution":{"observed_at":"2026-07-09T05:26:02.074613Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.064239Z","title":"Olshanetsky and A","venue":null,"work_id":"59606bf6-2ea9-4ccc-808d-582d6a9cefd5","year":1983},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:71dd8e0ec62d9c6d931593f1d6770cbc515a1df39598f0a392bf5f85aa5515ae","observation_id":"6515e9bc-e232-43b9-81c3-f5fbda7bcf8f","resolution":{"observed_at":"2026-07-09T05:36:02.065561Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.083565Z","title":"Pr¨ ahofer and H","venue":null,"work_id":"926e7f78-4fed-4cec-b6ef-08171dcb3857","year":2002},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:a54bad04fe63315aa48ee6a42bdaf4a39af3f17a6859334657a27da5295e2229","observation_id":"07315f21-9c33-4ca3-99fb-450cb943fd2b","resolution":{"observed_at":"2026-07-09T05:36:02.084808Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.127862Z","title":"Quastel and H","venue":null,"work_id":"5d500023-6d44-41cd-b9dc-368d1f0a34db","year":2015},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:0ea76740d9b5ffa1245e2937776c4ff67c92004b2ee8fa0939f52cf9a22f2f51","observation_id":"908ac98a-d919-4ab9-89fe-838864febf78","resolution":{"observed_at":"2026-07-09T05:36:02.129139Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.019037Z","title":"Ramirez, B","venue":null,"work_id":"b956126a-075a-4b05-953e-ca0471876f77","year":2011},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:81922cfcdabd5fbcaaee5b12fe659b7735aa3c4f04c1dccc2f6916d6a5d2927e","observation_id":"9d601f60-c980-4a0d-bb28-3ce67788f203","resolution":{"observed_at":"2026-07-09T05:36:02.020465Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.010683Z","title":"Saito, B","venue":null,"work_id":"44840134-9a3d-423d-8c71-a071354878e1","year":2013},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:28ddfdd73a4d8069946e463f9f56c5e094084129d1db8e15c67f69eddf4255fb","observation_id":"fa00b1b2-d6bd-4f4d-b9cb-96ab640c5c7e","resolution":{"observed_at":"2026-07-09T05:36:02.012054Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.014890Z","title":"Serban, F","venue":null,"work_id":"4d9651f0-e727-4625-81ef-a9aa5fa01b18","year":1996},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:80c7f263753d46114f5acfc6032bf9ac015a03ef973694014e685c59519660eb","observation_id":"e0ef3f2d-7f05-4290-b5ee-930125986141","resolution":{"observed_at":"2026-07-09T05:36:02.016237Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.008426Z","title":null,"venue":null,"work_id":"7d9c2e48-6ce5-49cf-a14c-db16d4843b43","year":2001},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:f36cd0c7bbc11b0ef0f3797ca1231ee4ec83a8bd6302fbe0cc627ce858c0ad30","observation_id":"a7e6a554-0320-43bd-b1ba-06db2d68a2cd","resolution":{"observed_at":"2026-07-09T05:36:02.009912Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.012773Z","title":"Sergeev and A","venue":null,"work_id":"15cdd289-7b47-4e47-9cea-50be24c32181","year":2004},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:9e97906cfadcdce2f59d81b4b70c26eafa553f0bff346e9b3662fb5fc8366d3c","observation_id":"1daa2d5c-96a6-4dda-80b7-c9a271b920e9","resolution":{"observed_at":"2026-07-09T05:36:02.014201Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.021149Z","title":null,"venue":null,"work_id":"dbe62d99-b687-47b9-b505-d2bf3325d843","year":2005},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:cdc0e608632b24d1c8a7798d29880bee143f7eaf39d5277dd80c231f5c7aaf55","observation_id":"5c2adfc6-fe60-450f-9bff-9fd519cd8f2e","resolution":{"observed_at":"2026-07-09T05:36:02.022500Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.027357Z","title":null,"venue":null,"work_id":"9ba288be-70f1-4c3a-adbd-dc658d4ac893","year":2015},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:06630deb976e0b8d3ee86e0a3723725b52448b3e90408daf5a0c08f578226e1f","observation_id":"32d5152b-36e2-48f1-8b33-15d78c17245e","resolution":{"observed_at":"2026-07-09T05:36:02.028608Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.040516Z","title":"Shcherbina","venue":null,"work_id":"68cb9ee2-2b64-4398-9bfc-b34dc5b8cb1a","year":2013},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:d754258f4420c228f048e1ac73494ba0151066cc10d9aa02e8987edf1ab6f258","observation_id":"9b591993-0342-4305-a1da-91e02acf6ff2","resolution":{"observed_at":"2026-07-09T05:36:02.041857Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.044480Z","title":"Shcherbina","venue":null,"work_id":"641582d0-47aa-40f1-892f-d3a6c44f37cb","year":2014},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:4e4d37509ae1f68a90d011560fc0f654f7c0a6f898747b9b1676dba5d3b5afd8","observation_id":"311c8f11-4c10-43f1-bd34-81f746b1beab","resolution":{"observed_at":"2026-07-09T05:36:02.045780Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.114686Z","title":"’t Hooft","venue":null,"work_id":"25cbed2f-5e69-4772-b390-73669b837306","year":1974},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:31456af08e2ccb115584a20f7d7c9a16738348a354f3227bdca1041b23c368ee","observation_id":"4d714e32-f6bf-4b46-a54f-6cb62c17f21c","resolution":{"observed_at":"2026-07-09T05:36:02.116073Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.122338Z","title":"Tao and V","venue":null,"work_id":"84370d73-0976-4642-8d06-10cf02443b8a","year":2010},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:6f77b4afe8102af4f2cdfe519126c599fe636ff3172ed57d18be3cbcb315df29","observation_id":"18691fa8-1637-4193-8678-8692a2922986","resolution":{"observed_at":"2026-07-09T05:36:02.123497Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.110802Z","title":"Tao and V","venue":null,"work_id":"a2a238ad-146c-4563-9ad3-226ef8cd2fc3","year":2011},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:4c31e0a9bb6239a4a0bd36d433f596a003fe2712f622cdd4fc4d39199a16a7bb","observation_id":"a3f18599-6794-4665-96c2-acee5dbe75b3","resolution":{"observed_at":"2026-07-09T05:36:02.112044Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.135585Z","title":"Valk´ o and B","venue":null,"work_id":"5a700414-5cf1-42f3-bba0-288a09d58f63","year":2009},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:86eeb59e029fc6b2981d68ae4e78dc88b224a70237418bf6df64a95ad0b6b635","observation_id":"67faa0f3-6baf-4548-9450-2c82acfa2cdd","resolution":{"observed_at":"2026-07-09T05:36:02.138103Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-07-09T05:36:02.102690Z","title":null,"venue":null,"work_id":"b194e33e-6114-43cc-b54b-4a5bbd659ea2","year":2026},"citing_paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-07-09T05:16:59.118907Z"},"links":{"citing_paper":"/paper/2607.07617"},"observation_digest":"sha256:a91f886b9373c0eb0d18af841d86cc55eab1c31043cb50c32a663f7b80a60237","observation_id":"3a2a3956-a7e6-47a8-a545-54e897575879","resolution":{"observed_at":"2026-07-09T05:36:02.104147Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.07617","last_updated":"2026-07-08T16:33:33Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-17T03:33:48.842994Z","submitted_at":"2026-07-08T16:33:33Z","title":"Loop Equations Characterize Random Matrix Statistics"},"reference_resolution":{"displayed":91,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":5,"verified_fuzzy":65},"total_outbound_references":91},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 91 of 91 outbound references and 0 inbound Pith citation observations for arXiv:2607.07617."}