{"as_of":"2026-08-07T15:43:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:22f8290b9603f8de356d2d7b87b37de5444a75dc41d3a92f3da78a0fc8dfa0cb","coverage":[{"denominator":70,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":70,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:01:20.938072Z","state":"measured"},{"denominator":73,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":73,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T22:25:24.176309Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-12T10:36:29.652400Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.06922","snapshot_observed_at":"2026-08-03T22:25:24.176309Z","title":"Hao,Exact WKB of solutions by Borel summation and open TBA,arXiv preprints: High Energy Physics - Theory(2025) [2507.06922]","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.10636","last_updated":"2026-07-27T16:44:31Z","snapshot_observed_at":"2026-08-06T15:27:13.392290Z","submitted_at":"2025-11-13T18:55:58Z","title":"Eigenfunctions of deformed Schr\\\"odinger equations","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-03T22:25:24.176309Z"},"links":{"cited_paper":"/paper/2507.06922","citing_paper":"/paper/2511.10636"},"observation_digest":"sha256:c6eb038539390fd67b03c3fbac64870200265fd416fd2f650d47d7d3ff921d87","observation_id":"3a2b11a6-7aff-41c5-81c0-859de2a606f9","resolution":{"observed_at":"2026-08-03T22:25:24.176309Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"cited_work":{"arxiv_id":"2507.06922","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.06922","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Hao,Exact WKB of solutions by Borel summation and open TBA, 2507.06922","venue":null,"work_id":"da28b977-633b-4251-9548-665bdc1a4bc9","year":null},"citing_paper":{"arxiv_id":"2604.27794","last_updated":"2026-05-11T14:21:39Z","snapshot_observed_at":"2026-07-06T23:13:11.623453Z","submitted_at":"2026-04-30T12:39:19Z","title":"TBA equations for $SU(r+1)$ quantum Seiberg-Witten curve: higher-order Mathieu equation","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-07T05:32:36.708936Z"},"links":{"cited_paper":"/paper/2507.06922","citing_paper":"/paper/2604.27794"},"observation_digest":"sha256:bee2b298ff2bee2d5532ce0c8387a09c6147a59220306e35d3891d8b02295a12","observation_id":"7d5078ce-3062-40f6-a061-67ce4dc0eae4","resolution":{"observed_at":"2026-05-12T10:36:29.655908Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"cited_work":{"arxiv_id":"2507.06922","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.06922","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Hao,Exact WKB of solutions by Borel summation and open TBA, 2507.06922","venue":null,"work_id":"da28b977-633b-4251-9548-665bdc1a4bc9","year":null},"citing_paper":{"arxiv_id":"2604.27794","last_updated":"2026-05-11T14:21:39Z","snapshot_observed_at":"2026-07-06T23:13:11.623453Z","submitted_at":"2026-04-30T12:39:19Z","title":"TBA equations for $SU(r+1)$ quantum Seiberg-Witten curve: higher-order Mathieu equation","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-12T05:40:05.363156Z"},"links":{"cited_paper":"/paper/2507.06922","citing_paper":"/paper/2604.27794"},"observation_digest":"sha256:9e480b7d3f87f4686aa814a73b2c353b774d5cbea9aa5fdd9709a0fe94bf2dec","observation_id":"fd8d6b0f-b98b-4d6e-bd37-a0fc0c398568","resolution":{"observed_at":"2026-05-12T05:41:23.247051Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2507.06922/citation-record","integrity":"/paper/2507.06922/integrity","json":"/paper/2507.06922/citation-record.json","paper":"/paper/2507.06922"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:01:23.429850Z","title":"Voros, The return of the quartic oscillator","venue":null,"work_id":"09a60090-e1fb-422a-bcd4-b11a336e6cff","year":1983},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.486737Z"},"links":{"citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:48870617953faf45c08c7e1a6d4f7a9c7276792b88bcd25b6f81026556c7691c","observation_id":"2cd3819d-ae01-4d33-b84b-2fef83f97d00","resolution":{"observed_at":"2026-08-06T19:01:23.438337Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:01:23.408908Z","title":"Balian, G","venue":null,"work_id":"f4d17fdb-b5a3-4164-860a-ce342b14d66b","year":1979},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.493155Z"},"links":{"citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:ab30014701e38d81ca78398288e204194ffc3e19cdd30b226bad32f542b8f2b2","observation_id":"bb7dc643-4b56-4254-ab8d-1e3225ff2a43","resolution":{"observed_at":"2026-08-06T19:01:23.415906Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:01:23.382275Z","title":"Voros, Exact resolution method for general 1d polynomial Schr¨ odinger equation, J.Phys","venue":null,"work_id":"b5a49254-67ad-4995-b364-02fb6db394a4","year":1999},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.499709Z"},"links":{"citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:27b500e1a957a239727590de4e78f91ae07e91b5ba5d614c30c35df0b5f07870","observation_id":"f1e14bb0-a20b-40bd-a450-6da257d21fa3","resolution":{"observed_at":"2026-08-06T19:01:23.389025Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:01:23.362478Z","title":"Delabaere, H","venue":null,"work_id":"18327e2a-accf-469c-861a-384b859d937b","year":1997},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.507072Z"},"links":{"citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:93be28420dc4edc722b3c2448d12de6e53f4a0a15e894a82a9299b5865a37022","observation_id":"a9cf8642-711d-44e4-9e50-8fbce2e5c6d9","resolution":{"observed_at":"2026-08-06T19:01:23.368220Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:01:23.340405Z","title":"Delabaere, H","venue":null,"work_id":"26a4db98-9ad4-4fa9-bb48-ca910608dd17","year":1993},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.514790Z"},"links":{"citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:9036435df66398644487ef340c600770dd48bb86695036643c46dbdfddc74ca6","observation_id":"d8e645ed-8ff5-44f6-9f7b-cbdc97a5a12b","resolution":{"observed_at":"2026-08-06T19:01:23.346209Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0906.3219","last_updated":"2010-02-09T15:57:35Z","snapshot_observed_at":"2026-07-06T01:54:44.463533Z","submitted_at":"2009-06-17T15:51:28Z","title":"Liouville Correlation Functions from Four-dimensional Gauge Theories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0906.3219","snapshot_observed_at":"2026-08-06T19:01:20.527954Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.527954Z"},"links":{"cited_paper":"/paper/0906.3219","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:16bbc333172e0a989345d655eb78e0fe654bb94d0c786c4507bc26e3b9444742","observation_id":"485c6e4b-7d3e-490c-8f4f-4a080de077e6","resolution":{"observed_at":"2026-08-06T19:01:20.527954Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0909.0945","last_updated":"2010-02-09T15:48:44Z","snapshot_observed_at":"2026-07-06T01:59:52.426416Z","submitted_at":"2009-09-06T18:55:02Z","title":"Loop and surface operators in N=2 gauge theory and Liouville modular geometry","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0909.0945","snapshot_observed_at":"2026-08-06T19:01:20.537342Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.537342Z"},"links":{"cited_paper":"/paper/0909.0945","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:a04e355d8cce9c3bad063c245eeb33cfa11c2a935d69cab041b5a76e2e12be13","observation_id":"aa308935-acd5-4f1b-a494-a75a0c56977c","resolution":{"observed_at":"2026-08-06T19:01:20.537342Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0908.4052","last_updated":"2009-08-27T18:21:13Z","snapshot_observed_at":"2026-07-06T01:56:44.873239Z","submitted_at":"2009-08-27T18:21:13Z","title":"Quantization of Integrable Systems and Four Dimensional Gauge Theories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0908.4052","snapshot_observed_at":"2026-08-06T19:01:20.545211Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.545211Z"},"links":{"cited_paper":"/paper/0908.4052","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:298a3a708deb109c6c0bdd43f6800574ff12a6c10b8324170f181e1e63056a01","observation_id":"75205db3-1243-4a24-b4df-35ec4ab2b909","resolution":{"observed_at":"2026-08-06T19:01:20.545211Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1103.3919","last_updated":"2013-10-29T12:51:03Z","snapshot_observed_at":"2026-07-06T02:25:06.571479Z","submitted_at":"2011-03-21T05:01:41Z","title":"Darboux coordinates, Yang-Yang functional, and gauge theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1103.3919","snapshot_observed_at":"2026-08-06T19:01:20.552093Z","title":"Nekrasov, A","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.552093Z"},"links":{"cited_paper":"/paper/1103.3919","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:8663e6bc3d1a608aceb7073ee22f2b1cdbe16f1e5d1724f17cbabe62ea05f2d8","observation_id":"d258851d-19d3-4825-9781-1e7199424111","resolution":{"observed_at":"2026-08-06T19:01:20.552093Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1403.6137","last_updated":"2014-03-24T20:17:28Z","snapshot_observed_at":"2026-07-06T03:39:20.935728Z","submitted_at":"2014-03-24T20:17:28Z","title":"Opers and TBA","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1403.6137","snapshot_observed_at":"2026-08-06T19:01:20.559879Z","title":"Gaiotto, Opers and TBA , 1403.6137","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.559879Z"},"links":{"cited_paper":"/paper/1403.6137","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:3f0455abc0feda258838c766f9f17865cdddcd923c3c76c6aceef568727247d6","observation_id":"dee15f90-55f4-47d9-a797-e412f24fe2c4","resolution":{"observed_at":"2026-08-06T19:01:20.559879Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.08270","last_updated":"2021-09-08T15:46:50Z","snapshot_observed_at":"2026-08-04T23:41:39.057261Z","submitted_at":"2018-06-21T14:41:53Z","title":"Opers, surface defects, and Yang-Yang functional","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.08270","snapshot_observed_at":"2026-08-06T19:01:20.567057Z","title":"Jeong and N","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.567057Z"},"links":{"cited_paper":"/paper/1806.08270","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:672d7670541ab0dbdec402a1eef0b8537dd9bcf6629487d4bda86085d99f9146","observation_id":"1591783d-efbc-4eed-a63d-f4bac5b63ef0","resolution":{"observed_at":"2026-08-06T19:01:20.567057Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.07065","last_updated":"2020-07-20T15:39:48Z","snapshot_observed_at":"2026-08-06T16:32:30.320273Z","submitted_at":"2019-08-19T20:59:51Z","title":"Non-perturbative approaches to the quantum Seiberg-Witten curve","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.07065","snapshot_observed_at":"2026-08-06T19:01:20.573110Z","title":"Grassi, J","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.573110Z"},"links":{"cited_paper":"/paper/1908.07065","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:a0415878b285faa788423ead218d9ce0304eedd7bac785d86927c20ace77022c","observation_id":"f51fc515-e3ea-4fa2-a5b3-754286b681de","resolution":{"observed_at":"2026-08-06T19:01:20.573110Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.03777","last_updated":"2022-06-13T11:57:06Z","snapshot_observed_at":"2026-07-06T11:07:34.876977Z","submitted_at":"2021-05-08T20:55:47Z","title":"Exact WKB methods in $SU(2)$ $N_f=1$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.03777","snapshot_observed_at":"2026-08-06T19:01:20.579382Z","title":"Grassi, Q","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.579382Z"},"links":{"cited_paper":"/paper/2105.03777","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:0f649c1341849bea5d2cd77cfac6ab942f2cddb9dcf647120d953ce97050e440","observation_id":"32500bd5-63af-490d-ab5b-d9959ed47e70","resolution":{"observed_at":"2026-08-06T19:01:20.579382Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0907.3987","last_updated":"2011-09-23T13:53:44Z","snapshot_observed_at":"2026-07-06T01:55:45.252246Z","submitted_at":"2009-07-23T05:54:29Z","title":"Wall-crossing, Hitchin Systems, and the WKB Approximation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0907.3987","snapshot_observed_at":"2026-08-06T19:01:20.586039Z","title":"Gaiotto, G","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.586039Z"},"links":{"cited_paper":"/paper/0907.3987","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:abee468901375a0f1324089e0c4ce429ad7dbe6a17a216cdd1bf8b063a595bc9","observation_id":"b96acc60-b717-4603-b06f-f9e13af90d39","resolution":{"observed_at":"2026-08-06T19:01:20.586039Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1204.4824","last_updated":"2013-10-06T17:20:43Z","snapshot_observed_at":"2026-07-06T02:46:49.169156Z","submitted_at":"2012-04-21T15:49:02Z","title":"Spectral networks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1204.4824","snapshot_observed_at":"2026-08-06T19:01:20.592461Z","title":"Gaiotto, G","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.592461Z"},"links":{"cited_paper":"/paper/1204.4824","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:ffe8a81f33127919c98fc87708cc5f1285c8f2c466d15564979fdc5f9b8cdebf","observation_id":"45e44726-b357-4a2e-ba46-3ad48d260462","resolution":{"observed_at":"2026-08-06T19:01:20.592461Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1906.04271","last_updated":"2020-07-03T01:46:18Z","snapshot_observed_at":"2026-07-06T07:59:23.899551Z","submitted_at":"2019-06-10T21:03:09Z","title":"Exact WKB and abelianization for the $T_3$ equation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1906.04271","snapshot_observed_at":"2026-08-06T19:01:20.598372Z","title":"Hollands and A","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.598372Z"},"links":{"cited_paper":"/paper/1906.04271","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:9304881fd29acd5b04b500ca159039d475da9b0e1e20740243e81ea3a07e1d85","observation_id":"660e2b06-70a1-49a0-90e2-f8d9221301e5","resolution":{"observed_at":"2026-08-06T19:01:20.598372Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:01:23.323683Z","title":"Kawai and Y","venue":null,"work_id":"a0eafe85-b002-4429-91f3-3ec782948406","year":2005},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.605291Z"},"links":{"citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:1067be9a1a1e9f4b6b0809f73e204a001bbe943cf35332a1372e9159b8e3bb32","observation_id":"ec1d0ee2-b542-48b1-894f-c8388390e015","resolution":{"observed_at":"2026-08-06T19:01:23.329016Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1103.2598","last_updated":"2011-03-14T07:55:32Z","snapshot_observed_at":"2026-07-06T02:24:47.489849Z","submitted_at":"2011-03-14T07:55:32Z","title":"Wall-Crossing in Coupled 2d-4d Systems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1103.2598","snapshot_observed_at":"2026-08-06T19:01:20.610888Z","title":"Gaiotto, G","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.610888Z"},"links":{"cited_paper":"/paper/1103.2598","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:81a8ef920deac89cb3988304b0763e1a2f84a6719c1bb516ab34b25a3ebfb9f4","observation_id":"a13cbda3-9d30-4265-b62a-e8922aaa5df1","resolution":{"observed_at":"2026-08-06T19:01:20.610888Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1401.7094","last_updated":"2014-09-12T14:21:13Z","snapshot_observed_at":"2026-07-06T03:34:28.434487Z","submitted_at":"2014-01-28T06:31:06Z","title":"Exact WKB analysis and cluster algebras","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1401.7094","snapshot_observed_at":"2026-08-06T19:01:20.617628Z","title":"Iwaki and T","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.617628Z"},"links":{"cited_paper":"/paper/1401.7094","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:88c9a6e41749cb05c7c391409e88b71966293dee2ce545a915054532ce398f3c","observation_id":"21fbb99d-10a6-4739-ae2c-e37b7920866f","resolution":{"observed_at":"2026-08-06T19:01:20.617628Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.00503","last_updated":"2025-02-03T05:40:28Z","snapshot_observed_at":"2026-08-03T07:47:42.828931Z","submitted_at":"2020-07-01T14:03:33Z","title":"Opers and nonabelian Hodge: numerical studies","version":3},"cited_work":{"arxiv_id":"2007.00503","doi":null,"metadata_source":"pith","pith_arxiv_id":"2007.00503","snapshot_observed_at":"2026-08-06T19:01:22.652048Z","title":"Opers and nonabelian Hodge: numerical studies","venue":"math.DG","work_id":"15b225ee-d075-439b-805e-2285cf568068","year":2020},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.626952Z"},"links":{"cited_paper":"/paper/2007.00503","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:d51e5d8b4d87d8991a98fc20e65c27997390988db20d734f68a42fe74bb6bd61","observation_id":"576adebf-5a39-44c6-ac14-50e83b5d96a5","resolution":{"observed_at":"2026-08-06T19:01:22.659125Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2103.02248","last_updated":"2021-04-08T05:25:55Z","snapshot_observed_at":"2026-08-04T05:34:18.239361Z","submitted_at":"2021-03-03T08:17:32Z","title":"Quantum periods and TBA equations for $\\mathcal{N}=2\\ SU(2)\\ N_f=2$ SQCD with flavor symmetry","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.02248","snapshot_observed_at":"2026-08-06T19:01:20.632405Z","title":"Imaizumi, Quantum periods and TBA equations for N = 2 SU (2) Nf = 2 SQCD with flavor symmetry, Phys","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.632405Z"},"links":{"cited_paper":"/paper/2103.02248","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:f8357f5f22ccb8232c9c440568956c888279d6aaaae7d2692fcbe7e4644e34b8","observation_id":"cc4f8827-2fc9-4ed0-9bb3-42f4aff8cd72","resolution":{"observed_at":"2026-08-06T19:01:20.632405Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.15658","last_updated":"2021-11-07T23:32:38Z","snapshot_observed_at":"2026-08-07T04:46:21.906863Z","submitted_at":"2020-12-31T15:29:44Z","title":"Exact WKB and the quantum Seiberg-Witten curve for 4d $N=2$ pure $SU(3)$ Yang-Mills, Part I: Abelianization","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.15658","snapshot_observed_at":"2026-08-06T19:01:20.640983Z","title":"Yan, Exact WKB and the quantum Seiberg-Witten curve for 4d N = 2 pure SU(3) Yang-Mills","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.640983Z"},"links":{"cited_paper":"/paper/2012.15658","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:e326bcd97d96653f52419de077dd3a2f0666fea1553f5fba25c948dabed17a98","observation_id":"aa996125-d1b9-45bb-8a07-e03115b2a3ab","resolution":{"observed_at":"2026-08-06T19:01:20.640983Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.03766","last_updated":"2024-03-22T06:15:13Z","snapshot_observed_at":"2026-07-06T17:12:43.457074Z","submitted_at":"2024-01-08T09:42:59Z","title":"TBA equations and exact WKB analysis in deformed supersymmetric quantum mechanics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.03766","snapshot_observed_at":"2026-08-06T19:01:20.646961Z","title":"Ito and H","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.646961Z"},"links":{"cited_paper":"/paper/2401.03766","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:c1963b442b6efdb27507f097f1f0a6435f8fbc0ff8177b2a2bf54c96e7157fab","observation_id":"539974be-62c3-4b0d-929a-fe2077877bad","resolution":{"observed_at":"2026-08-06T19:01:20.646961Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.11047","last_updated":"2022-04-21T06:30:05Z","snapshot_observed_at":"2026-08-06T08:07:50.780285Z","submitted_at":"2021-11-22T08:43:44Z","title":"Wall-crossing of TBA equations and WKB periods for the third order ODE","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.11047","snapshot_observed_at":"2026-08-06T19:01:20.653033Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.653033Z"},"links":{"cited_paper":"/paper/2111.11047","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:70b78f0af7a841c33507f15704a6df0e80f8ee40bacb31abf4f1a509064c1321","observation_id":"07169bdd-5906-4d29-8caa-e3f12dbe245d","resolution":{"observed_at":"2026-08-06T19:01:20.653033Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.14462","last_updated":"2024-03-21T15:11:29Z","snapshot_observed_at":"2026-08-06T08:10:27.565712Z","submitted_at":"2024-03-21T15:11:29Z","title":"Large N instantons, BPS states, and the replica limit","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.14462","snapshot_observed_at":"2026-08-06T19:01:20.660713Z","title":"Marino and M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.660713Z"},"links":{"cited_paper":"/paper/2403.14462","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:8b157ae0d81ba2456bec31feb0f94c75280c1201671c9f75e4c30c9c1b97ecf2","observation_id":"15c29338-77b8-497a-bd90-07962769aa9d","resolution":{"observed_at":"2026-08-06T19:01:20.660713Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1611.03697","last_updated":"2020-06-24T14:03:09Z","snapshot_observed_at":"2026-07-06T05:18:15.988050Z","submitted_at":"2016-11-11T13:32:13Z","title":"Riemann-Hilbert problems from Donaldson-Thomas theory","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1611.03697","snapshot_observed_at":"2026-08-06T19:01:20.665963Z","title":"Bridgeland, Riemann-Hilbert problems from Donaldson-Thomas theory , Invent","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.665963Z"},"links":{"cited_paper":"/paper/1611.03697","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:1b9c8b2b016d69c77fc77b9f61ce304abecadfcdb041b8be207028150730b3a2","observation_id":"ca33cba2-9d0b-4aec-a515-4670252ac4cb","resolution":{"observed_at":"2026-08-06T19:01:20.665963Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.10722","last_updated":"2020-04-22T17:23:44Z","snapshot_observed_at":"2026-07-06T09:14:26.793306Z","submitted_at":"2020-04-22T17:23:44Z","title":"$QQ$-system and non-linear integral equations for scattering amplitudes at strong coupling","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2004.10722","snapshot_observed_at":"2026-08-06T19:01:20.672358Z","title":"Fioravanti, M","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.672358Z"},"links":{"cited_paper":"/paper/2004.10722","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:880f489dd562d318002c5dd91d9fed0a711345bbb8d4141bcfec8eb956c40a7c","observation_id":"96bfbe1e-3048-4f9c-8a17-8ed57f336632","resolution":{"observed_at":"2026-08-06T19:01:20.672358Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1105.0630","last_updated":"2011-05-03T16:39:17Z","snapshot_observed_at":"2026-07-06T02:27:12.427269Z","submitted_at":"2011-05-03T16:39:17Z","title":"Quantum Geometry of Refined Topological Strings","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1105.0630","snapshot_observed_at":"2026-08-06T19:01:20.677773Z","title":"Aganagic, M","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.677773Z"},"links":{"cited_paper":"/paper/1105.0630","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:32ba958564aa6890d95efaafff9a38becc6983f84217517184e05e170d229f02","observation_id":"7e97288e-b5ef-46db-894a-c7050457cc9b","resolution":{"observed_at":"2026-08-06T19:01:20.677773Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0910.5670","last_updated":"2009-11-04T11:47:13Z","snapshot_observed_at":"2026-07-06T02:03:34.075396Z","submitted_at":"2009-10-29T19:16:25Z","title":"Nekrasov Functions and Exact Bohr-Sommerfeld Integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0910.5670","snapshot_observed_at":"2026-08-06T19:01:20.683674Z","title":"Mironov and A","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.683674Z"},"links":{"cited_paper":"/paper/0910.5670","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:b2c3cbf78fa009958efd8fd7468874706e5885c23539ad621e4c5948d82f7f30","observation_id":"da76e422-54c8-4084-8cba-62554dfe8bb4","resolution":{"observed_at":"2026-08-06T19:01:20.683674Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.11594","last_updated":"2023-09-13T06:54:39Z","snapshot_observed_at":"2026-08-06T11:36:46.705860Z","submitted_at":"2022-01-27T15:46:54Z","title":"Exponential Networks, WKB and Topological String","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.11594","snapshot_observed_at":"2026-08-06T19:01:20.689329Z","title":"Grassi, Q","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.689329Z"},"links":{"cited_paper":"/paper/2201.11594","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:6322a6541fa65c840e363108f33ec8ca67264cd06c4fdbfb20b5af99c8da9e4b","observation_id":"99055c4e-b248-4d39-9f4c-b2b897c253bc","resolution":{"observed_at":"2026-08-06T19:01:20.689329Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2207.07135","last_updated":"2022-12-30T11:19:36Z","snapshot_observed_at":"2026-08-04T18:50:53.906212Z","submitted_at":"2022-07-14T18:00:08Z","title":"The threefold way to quantum periods: WKB, TBA equations and q-Painlev\\'e","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.07135","snapshot_observed_at":"2026-08-06T19:01:20.694795Z","title":"Del Monte and P","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.694795Z"},"links":{"cited_paper":"/paper/2207.07135","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:61196b768a02b36f58945c8c005fa9ed13e875e108f95e5422a664537f4c9b6a","observation_id":"42109b5d-2b8c-46df-85af-db06cda00b6d","resolution":{"observed_at":"2026-08-06T19:01:20.694795Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.10606","last_updated":"2023-11-08T13:52:14Z","snapshot_observed_at":"2026-07-06T14:33:11.945106Z","submitted_at":"2022-12-20T19:23:07Z","title":"Resurgence, Stokes constants, and arithmetic functions in topological string theory","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.10606","snapshot_observed_at":"2026-08-06T19:01:20.700573Z","title":"Rella, Resurgence, Stokes constants, and arithmetic functions in topological string theory , Commun","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.700573Z"},"links":{"cited_paper":"/paper/2212.10606","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:73f48478c7edabdf489ab04236611af8355d10ac3be4a057a505f16c412a6d0a","observation_id":"a4e697a3-4b9b-4011-9afe-50fa424cad82","resolution":{"observed_at":"2026-08-06T19:01:20.700573Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.03871","last_updated":"2023-03-16T05:42:53Z","snapshot_observed_at":"2026-08-05T07:12:42.669647Z","submitted_at":"2022-11-07T21:22:33Z","title":"On the resurgent structure of quantum periods","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.03871","snapshot_observed_at":"2026-08-06T19:01:20.706702Z","title":"Gu and M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.706702Z"},"links":{"cited_paper":"/paper/2211.03871","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:c8c34ac1357bdc40a4d5701e3c22f7908b77261c61f239c57449194fe70d319d","observation_id":"ce3e1792-2c78-4d86-8844-bade7c14b20f","resolution":{"observed_at":"2026-08-06T19:01:20.706702Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.19916","last_updated":"2023-08-08T14:24:12Z","snapshot_observed_at":"2026-08-03T17:59:26.530787Z","submitted_at":"2023-05-31T14:48:48Z","title":"Non-perturbative topological string theory on compact Calabi-Yau 3-folds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.19916","snapshot_observed_at":"2026-08-06T19:01:20.712886Z","title":"Gu, A.-K","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.712886Z"},"links":{"cited_paper":"/paper/2305.19916","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:727e73c92aad2902dd5422a74eeaa8af52a4af7ec2ce3cd15f2dc51ee2fa7230","observation_id":"a5b73424-864f-4e46-9098-1246e5d1b4e5","resolution":{"observed_at":"2026-08-06T19:01:20.712886Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.02079","last_updated":"2023-07-05T07:40:40Z","snapshot_observed_at":"2026-08-06T16:39:58.106531Z","submitted_at":"2023-07-05T07:40:40Z","title":"Relations between Stokes constants of unrefined and Nekrasov-Shatashvili topological strings","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.02079","snapshot_observed_at":"2026-08-06T19:01:20.718620Z","title":"Gu, Relations between Stokes constants of unrefined and Nekrasov-Shatashvili topological strings , JHEP 05 (2024) 199, [ 2307.02079]","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.718620Z"},"links":{"cited_paper":"/paper/2307.02079","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:aab3d6143630b448514492e1aaf9eb7b58ad184b2b54f6671b804fb4e8ff5633","observation_id":"f3843844-2722-42d3-8b4b-e2d70ed83c32","resolution":{"observed_at":"2026-08-06T19:01:20.718620Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.07437","last_updated":"2022-01-29T14:42:47Z","snapshot_observed_at":"2026-08-06T13:04:49.396061Z","submitted_at":"2021-04-15T13:18:10Z","title":"Peacock patterns and new integer invariants in topological string theory","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.07437","snapshot_observed_at":"2026-08-06T19:01:20.724036Z","title":"Gu and M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.724036Z"},"links":{"cited_paper":"/paper/2104.07437","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:e7fe1e10ce610c05b80fb152676bdced2abfb4b14443590109686cfe6775ed79","observation_id":"96863247-53b1-46af-89c9-420d785c044b","resolution":{"observed_at":"2026-08-06T19:01:20.724036Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:01:20.729520Z","title":"Mari˜ no,Advanced Topics in Quantum Mechanics","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.729520Z"},"links":{"citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:63a0069587e3e807b806c83240728a4e05bd525d370fd42f8c5c377311b732d3","observation_id":"ebe45e3a-3b38-464b-87e8-5c25ab364664","resolution":{"observed_at":"2026-08-06T19:01:20.729520Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:01:23.292382Z","title":"Voros, The return of the quartic oscillator","venue":null,"work_id":"652615ed-8054-4d90-8cb3-6c68239d1a63","year":1983},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.737001Z"},"links":{"citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:c96e6637c635b7fa0cb20fe463af99581043ba3084a8d1cc5914df68fd0f5512","observation_id":"27bb808b-d06a-4417-8b50-50d1eaacd83b","resolution":{"observed_at":"2026-08-06T19:01:23.302702Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:01:23.261105Z","title":null,"venue":null,"work_id":"57d88f7c-b95c-47c5-861f-3afeffe559db","year":1991},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.742456Z"},"links":{"citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:643171b27ce860e8f106a4ca9ca2047ea543f25da164739bfa75b017724e30f0","observation_id":"cd4b2f87-15c7-428e-aa1f-06a650251c47","resolution":{"observed_at":"2026-08-06T19:01:23.268674Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1607.01743","last_updated":"2016-07-06T19:00:39Z","snapshot_observed_at":"2026-07-06T05:02:37.459715Z","submitted_at":"2016-07-06T19:00:39Z","title":"BPS states in the Minahan-Nemeschansky E6 theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1607.01743","snapshot_observed_at":"2026-08-06T19:01:20.748156Z","title":"Hollands and A","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.748156Z"},"links":{"cited_paper":"/paper/1607.01743","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:7e5383eb8153f7604f01c3d3656bf6bdb7347b80cbba19ada3921e289889dc4b","observation_id":"dd644432-b93a-4b3a-a90c-9e5669c8b9b3","resolution":{"observed_at":"2026-08-06T19:01:20.748156Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1611.00150","last_updated":"2017-06-01T07:36:23Z","snapshot_observed_at":"2026-07-06T05:16:56.226345Z","submitted_at":"2016-11-01T07:35:16Z","title":"Wall-Crossing Invariants from Spectral Networks","version":2},"cited_work":{"arxiv_id":"1611.00150","doi":null,"metadata_source":"pith","pith_arxiv_id":"1611.00150","snapshot_observed_at":"2026-08-06T19:01:21.991129Z","title":"Wall-Crossing Invariants from Spectral Networks","venue":"hep-th","work_id":"444e21fe-3d86-4c49-b895-9f4594f46e06","year":2016},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.754950Z"},"links":{"cited_paper":"/paper/1611.00150","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:2a3701e7081fb1c7d081c3373954cf3d331735cefbad0fca25be9b6a951cdbdb","observation_id":"25269207-d614-48d5-8dc5-9935e92f187b","resolution":{"observed_at":"2026-08-06T19:01:21.997330Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.09879","last_updated":"2019-05-23T19:17:03Z","snapshot_observed_at":"2026-07-06T07:55:05.948249Z","submitted_at":"2019-05-23T19:17:03Z","title":"BPS states in the Minahan-Nemeschansky $E_7$ theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.09879","snapshot_observed_at":"2026-08-06T19:01:20.761809Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.761809Z"},"links":{"cited_paper":"/paper/1905.09879","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:b47cdbd4fba8a943acc535388381dd4902ef1a273d6b1fbfcc25d43c89fd5612","observation_id":"6dbb9681-265c-48d1-88f8-0746dea8cfd8","resolution":{"observed_at":"2026-08-06T19:01:20.761809Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2002.08382","last_updated":"2020-02-19T19:00:30Z","snapshot_observed_at":"2026-07-06T08:58:33.611352Z","submitted_at":"2020-02-19T19:00:30Z","title":"$q$-nonabelianization for line defects","version":1},"cited_work":{"arxiv_id":"2002.08382","doi":null,"metadata_source":"pith","pith_arxiv_id":"2002.08382","snapshot_observed_at":"2026-08-06T19:01:21.917571Z","title":"$q$-nonabelianization for line defects","venue":"hep-th","work_id":"d3edc8ec-730e-49d6-a8e6-5acae8429ce3","year":2020},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.767233Z"},"links":{"cited_paper":"/paper/2002.08382","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:f8e8c425514cbe5e760fa38cab23b19f4f0baed3d461f7808b29e45eeca11b3e","observation_id":"af2d85c8-8cc9-49af-a6e1-6481d672c4cd","resolution":{"observed_at":"2026-08-06T19:01:21.926891Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:01:20.773687Z","title":"Hao and A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.773687Z"},"links":{"citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:71ac5c0942cee92660a1fc238d7d9372ae2f40a2a55b2f86978238a4c401880a","observation_id":"610d44c0-c8d6-4c8d-9937-f60122cedecb","resolution":{"observed_at":"2026-08-06T19:01:20.773687Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:01:23.229005Z","title":"Delabaere and F","venue":null,"work_id":"cc77ca9e-1f6d-4cee-aba3-7cff9a574d52","year":1999},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.778790Z"},"links":{"citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:75123d3eae0b90932269525c5462af3f4170ab25e0aa807abb018104e7bf483c","observation_id":"396e96ae-50cd-4c10-bfa5-ec4b09590f3e","resolution":{"observed_at":"2026-08-06T19:01:23.244318Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:01:23.196973Z","title":"Takei, Sato’s conjecture for the weber equation and transformation theory for schr¨ odinger equations with a merging pair of turning points , RIMS Kˆ okyˆ uroku Bessatsu(01, 2008)","venue":null,"work_id":"5dd84cea-01be-41ba-abd8-85e556e0184a","year":2008},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.783555Z"},"links":{"citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:6404442da3927ec484efda990bcde74b42e58c8e0805fad71470bdefb7ceb881","observation_id":"1340c35f-fdd1-4dba-9b52-9cae7cda60be","resolution":{"observed_at":"2026-08-06T19:01:23.202704Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1710.06970","last_updated":"2024-06-13T13:41:47Z","snapshot_observed_at":"2026-07-06T06:04:56.966823Z","submitted_at":"2017-10-19T00:19:21Z","title":"BPZ equations for higher degenerate fields and nonperturbative Dyson-Schwinger equations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1710.06970","snapshot_observed_at":"2026-08-06T19:01:20.788804Z","title":"Jeong and X","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.788804Z"},"links":{"cited_paper":"/paper/1710.06970","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:87003f682138b9c69e51a7f8d6a5c8e0d909039552ae69d1bd93389a59c5fd1c","observation_id":"8a04f6c3-4c19-4cf4-9d1b-018a1a79ed8c","resolution":{"observed_at":"2026-08-06T19:01:20.788804Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1709.04926","last_updated":"2018-12-14T17:39:08Z","snapshot_observed_at":"2026-07-06T05:59:42.436174Z","submitted_at":"2017-09-14T18:00:21Z","title":"Splitting of surface defect partition functions and integrable systems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1709.04926","snapshot_observed_at":"2026-08-06T19:01:20.794425Z","title":"Jeong, Splitting of surface defect partition functions and integrable systems , Nucl","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.794425Z"},"links":{"cited_paper":"/paper/1709.04926","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:4e6d67c3a7881757049dabd83468e37a90a6134306601d5a993d5fb0f6d27980","observation_id":"c32ca333-f0cb-4734-8398-452529b7f8eb","resolution":{"observed_at":"2026-08-06T19:01:20.794425Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:01:20.801628Z","title":"Jeong, N","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.801628Z"},"links":{"citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:eb6b76f79a776fc8c70bdb21576ea4ebd061008aff00ddd7a62039ac1f6497f8","observation_id":"286266c0-7f55-498e-9217-e10ac485c333","resolution":{"observed_at":"2026-08-06T19:01:20.801628Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1606.05297","last_updated":"2017-02-24T16:52:03Z","snapshot_observed_at":"2026-07-06T05:00:17.202185Z","submitted_at":"2016-06-16T18:03:33Z","title":"Exact eigenfunctions and the open topological string","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1606.05297","snapshot_observed_at":"2026-08-06T19:01:20.808231Z","title":"Marino and S","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.808231Z"},"links":{"cited_paper":"/paper/1606.05297","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:6f0755d30ca90a5dfa1cffbc824d0d76830a95bed4a891da4a6966015f7a1525","observation_id":"795c2e23-0d97-41a2-820a-58a4466278bd","resolution":{"observed_at":"2026-08-06T19:01:20.808231Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.21762","last_updated":"2026-06-10T17:57:42Z","snapshot_observed_at":"2026-07-06T20:59:49.523414Z","submitted_at":"2025-03-27T17:57:37Z","title":"On the open TS/ST correspondence","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.21762","snapshot_observed_at":"2026-08-06T19:01:20.813743Z","title":"Fran¸ cois and A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.813743Z"},"links":{"cited_paper":"/paper/2503.21762","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:8866d8e57f5639471b88fe4f2b8c1332689ecb22400b495e647e77bd23e6ee86","observation_id":"4873da8e-58ba-4730-af84-980e290ee7b3","resolution":{"observed_at":"2026-08-06T19:01:20.813743Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1611.06177","last_updated":"2017-07-26T10:55:03Z","snapshot_observed_at":"2026-07-06T05:19:15.361346Z","submitted_at":"2016-11-18T17:54:03Z","title":"Exponential Networks and Representations of Quivers","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1611.06177","snapshot_observed_at":"2026-08-06T19:01:20.819380Z","title":"Eager, S","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.819380Z"},"links":{"cited_paper":"/paper/1611.06177","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:8b36225fdf629c53bccae4838002f12cf121616cadb9d59700bec97102d7d3ee","observation_id":"229c3544-f1c4-4541-9225-7917e3e35e6a","resolution":{"observed_at":"2026-08-06T19:01:20.819380Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1811.02875","last_updated":"2018-11-17T17:41:26Z","snapshot_observed_at":"2026-08-04T17:10:54.123734Z","submitted_at":"2018-11-07T13:36:23Z","title":"Exploring 5d BPS Spectra with Exponential Networks","version":2},"cited_work":{"arxiv_id":"1811.02875","doi":null,"metadata_source":"pith","pith_arxiv_id":"1811.02875","snapshot_observed_at":"2026-08-06T19:01:21.530945Z","title":"Exploring 5d BPS Spectra with Exponential Networks","venue":"hep-th","work_id":"b0275fd3-8cc1-47a3-bc3c-fe52d648a7c5","year":2018},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.825670Z"},"links":{"cited_paper":"/paper/1811.02875","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:9c03c9e0b02854d72db8aee0ab2c57045be7bd6c21b2991dec8209f9b05fca13","observation_id":"731253ed-5ffa-4f88-8645-356994aa986c","resolution":{"observed_at":"2026-08-06T19:01:21.547267Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2012.09769","last_updated":"2020-12-17T17:24:54Z","snapshot_observed_at":"2026-07-06T10:25:32.454633Z","submitted_at":"2020-12-17T17:24:54Z","title":"Exponential BPS graphs and D-brane counting on toric Calabi-Yau threefolds: Part II","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.09769","snapshot_observed_at":"2026-08-06T19:01:20.831002Z","title":"Banerjee, P","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.831002Z"},"links":{"cited_paper":"/paper/2012.09769","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:beb8694b63c57d5da487e1f0ad5e1a3da4538647682caec7877524960df05f71","observation_id":"8f0167c7-c333-4612-84ea-b2aeda2d5d50","resolution":{"observed_at":"2026-08-06T19:01:20.831002Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.08445","last_updated":"2024-07-11T12:38:38Z","snapshot_observed_at":"2026-08-05T13:09:01.956457Z","submitted_at":"2024-07-11T12:38:38Z","title":"Vortices on Cylinders and Warped Exponential Networks","version":1},"cited_work":{"arxiv_id":"2407.08445","doi":null,"metadata_source":"pith","pith_arxiv_id":"2407.08445","snapshot_observed_at":"2026-08-06T19:01:21.434277Z","title":"Vortices on Cylinders and Warped Exponential Networks","venue":"hep-th","work_id":"0867499e-d6b7-4f45-b6b4-2310324a6e19","year":2024},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.837675Z"},"links":{"cited_paper":"/paper/2407.08445","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:c0ef91b644e8c46698ce2a15a8f2dd0f90a6526c964f60c7f186b17362e75908","observation_id":"7aa98536-55fd-44ca-b440-dd1d0b5eb744","resolution":{"observed_at":"2026-08-06T19:01:21.460179Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.14901","last_updated":"2024-12-19T14:30:37Z","snapshot_observed_at":"2026-07-06T20:10:08.781784Z","submitted_at":"2024-12-19T14:30:37Z","title":"Linking disks, spinning vortices and exponential networks of augmentation curves","version":1},"cited_work":{"arxiv_id":"2412.14901","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.14901","snapshot_observed_at":"2026-08-06T19:01:21.397021Z","title":"Linking disks, spinning vortices and exponential networks of augmentation curves","venue":"hep-th","work_id":"3f557e57-4066-44a6-8ae9-70d0388793c5","year":2024},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.845893Z"},"links":{"cited_paper":"/paper/2412.14901","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:aacfe76b7dd9a6cd50b09a3a126b7c701c6642c77b71ff4af2b86fe22dfc8238","observation_id":"dc31f7d2-3c5f-4ad5-af54-fe136c0c9418","resolution":{"observed_at":"2026-08-06T19:01:21.406601Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0003263","last_updated":"2000-06-08T16:30:12Z","snapshot_observed_at":"2026-07-07T04:36:15.423099Z","submitted_at":"2000-03-28T21:15:28Z","title":"The spectrum of BPS branes on a noncompact Calabi-Yau","version":2},"cited_work":{"arxiv_id":"hep-th/0003263","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0003263","snapshot_observed_at":"2026-08-06T19:01:21.362246Z","title":"The spectrum of BPS branes on a noncompact Calabi-Yau","venue":"hep-th","work_id":"c545fc17-496f-4c86-a224-3c66c7f01e25","year":2000},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.852719Z"},"links":{"cited_paper":"/paper/hep-th/0003263","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:e309b6bdc2110d35fc138fb957341520c7f008f63ded5c351041c7e9d2055dbc","observation_id":"fe97c23b-3c9e-4ac1-b8f2-d7b2501daefc","resolution":{"observed_at":"2026-08-06T19:01:21.369428Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.01681","last_updated":"2021-01-08T12:32:09Z","snapshot_observed_at":"2026-08-05T10:37:45.080822Z","submitted_at":"2021-01-05T17:55:09Z","title":"On the BPS spectrum of 5d SU(2) super-Yang-Mills","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.01681","snapshot_observed_at":"2026-08-06T19:01:20.858234Z","title":"Longhi, Instanton Particles and Monopole Strings in 5D SU(2) Supersymmetric Yang-Mills Theory, Phys","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.858234Z"},"links":{"cited_paper":"/paper/2101.01681","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:d65ee6b19de40d7fc73a68eb7e680370f263fa3166ffd8cd9a3355941e91bd42","observation_id":"8f6f71f9-7d00-408e-ba0a-51b04f7a778a","resolution":{"observed_at":"2026-08-06T19:01:20.858234Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1912.13502","last_updated":"2020-03-02T15:58:30Z","snapshot_observed_at":"2026-08-03T12:40:02.405198Z","submitted_at":"2019-12-31T18:52:20Z","title":"On 5d SCFTs and their BPS quivers. Part I: B-branes and brane tilings","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.13502","snapshot_observed_at":"2026-08-06T19:01:20.864011Z","title":"Closset and M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.864011Z"},"links":{"cited_paper":"/paper/1912.13502","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:e5a7e3820437867f8e23a04f02fc38fc6c51f48e8fe6d3b5431f7afdd1b0d223","observation_id":"8114b176-efa5-4159-bfc6-a2cf676a528d","resolution":{"observed_at":"2026-08-06T19:01:20.864011Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.11596","last_updated":"2020-08-03T17:58:32Z","snapshot_observed_at":"2026-08-05T18:01:59.642561Z","submitted_at":"2020-07-22T18:00:10Z","title":"BPS quivers of five-dimensional SCFTs, Topological Strings and q-Painlev\\'e equations","version":2},"cited_work":{"arxiv_id":"2007.11596","doi":null,"metadata_source":"pith","pith_arxiv_id":"2007.11596","snapshot_observed_at":"2026-08-06T19:01:21.264316Z","title":"BPS quivers of five-dimensional SCFTs, Topological Strings and q-Painlev\\'e equations","venue":"hep-th","work_id":"d363dfcb-70ca-4634-9fec-a0af6c9bcf99","year":2020},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.871470Z"},"links":{"cited_paper":"/paper/2007.11596","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:839562f82f956baa95ced499421a61a03987ae2b4554a20d17bf7ad8b8eb83b9","observation_id":"aabfdebd-6b78-40fd-996d-892e4f8b6f44","resolution":{"observed_at":"2026-08-06T19:01:21.271966Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1410.3382","last_updated":"2015-12-21T09:36:33Z","snapshot_observed_at":"2026-07-06T03:57:13.089648Z","submitted_at":"2014-10-13T16:23:26Z","title":"Topological Strings from Quantum Mechanics","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1410.3382","snapshot_observed_at":"2026-08-06T19:01:20.878710Z","title":"Grassi, Y","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.878710Z"},"links":{"cited_paper":"/paper/1410.3382","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:ff52a171eedd51dee63f2965c81621c5066f1a4f039980e222b824bcb1920132","observation_id":"c6324577-d397-44a4-92f1-c92f224c9697","resolution":{"observed_at":"2026-08-06T19:01:20.878710Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1507.02096","last_updated":"2015-12-23T21:15:11Z","snapshot_observed_at":"2026-07-06T04:23:10.734075Z","submitted_at":"2015-07-08T11:05:21Z","title":"Spectral Theory and Mirror Curves of Higher Genus","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1507.02096","snapshot_observed_at":"2026-08-06T19:01:20.886326Z","title":"Codesido, A","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.886326Z"},"links":{"cited_paper":"/paper/1507.02096","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:6700dd15c8f72b73a069813ed70da19320959e1ea0c4d689956982030e275406","observation_id":"f54ec01b-2be4-4f1f-b2ce-7b3bbd453c3c","resolution":{"observed_at":"2026-08-06T19:01:20.886326Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.00175","last_updated":"2024-05-31T20:12:47Z","snapshot_observed_at":"2026-07-06T18:23:35.715237Z","submitted_at":"2024-05-31T20:12:47Z","title":"Monodromies of Second Order $q$-difference Equations from the WKB Approximation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.00175","snapshot_observed_at":"2026-08-06T19:01:20.892922Z","title":"Del Monte and P","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.892922Z"},"links":{"cited_paper":"/paper/2406.00175","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:00117f34bfc18a151b31e5ddd2502a16403325146ca19834efb3172557816ea0","observation_id":"8fbaf1c1-c3b1-41c2-bdac-c8ec8baa9beb","resolution":{"observed_at":"2026-08-06T19:01:20.892922Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:01:23.169181Z","title":"Takei, WKB analysis and Stokes geometry of differential equations , in Analytic, algebraic and geometric aspects of differential equations , Trends Math., pp","venue":null,"work_id":"93b9578d-0e63-4891-a60d-2ba3de77016e","year":2017},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.899170Z"},"links":{"citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:a6c24fda23f323fa779af0b8799a6a1995ca79590a4481f0fdb5f560d8a6b755","observation_id":"11c5969d-5ce7-4ee5-a207-c951539f4c4d","resolution":{"observed_at":"2026-08-06T19:01:23.178916Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2008.06492","last_updated":"2021-11-21T22:04:40Z","snapshot_observed_at":"2026-08-07T14:47:24.811260Z","submitted_at":"2020-08-14T17:54:01Z","title":"Exact Solutions for the Singularly Perturbed Riccati Equation and Exact WKB Analysis","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.06492","snapshot_observed_at":"2026-08-06T19:01:20.906562Z","title":"Nikolaev, Exact solutions for the singularly perturbed Riccati equation and exact WKB analysis , 2008.06492","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.906562Z"},"links":{"cited_paper":"/paper/2008.06492","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:6e60ca56bdf2787d4e52afb822c3a0f35bf51f5fcf33583bd48e6e290fa68a31","observation_id":"a8dbdc28-5d8f-4180-9323-2b5c0df3a13d","resolution":{"observed_at":"2026-08-06T19:01:20.906562Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:01:23.133331Z","title":"Gaiotto, G","venue":null,"work_id":"fc66a233-635b-4ac9-8e1c-d198a0cee79d","year":2013},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.912867Z"},"links":{"citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:67a31ed3cff667cd330349e4c94720979b2c24e8fe7d49b6d17f688468dcfc7a","observation_id":"b8d27b9d-4a6b-4618-81d2-71fc42738548","resolution":{"observed_at":"2026-08-06T19:01:23.140196Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1607.02172","last_updated":"2016-07-07T21:01:19Z","snapshot_observed_at":"2026-07-06T05:02:48.306697Z","submitted_at":"2016-07-07T21:01:19Z","title":"Opers versus nonabelian Hodge","version":1},"cited_work":{"arxiv_id":"1607.02172","doi":null,"metadata_source":"pith","pith_arxiv_id":"1607.02172","snapshot_observed_at":"2026-08-06T19:01:21.104915Z","title":"Opers versus nonabelian Hodge","venue":"math.DG","work_id":"6c233075-cfaf-4e7c-962d-e701016c3940","year":2016},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.919228Z"},"links":{"cited_paper":"/paper/1607.02172","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:9bd812d3ccdfc923b03909ccd32ef59d706e88f407d5c6040f0a49c9c56e5f0f","observation_id":"3eca9ac7-608b-4d11-a5fd-69b5d47d5ece","resolution":{"observed_at":"2026-08-06T19:01:21.114423Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.16798","last_updated":"2024-07-23T18:58:07Z","snapshot_observed_at":"2026-07-06T18:50:57.722348Z","submitted_at":"2024-07-23T18:58:07Z","title":"Conformal limits for parabolic SL(n,C)-Higgs bundles","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.16798","snapshot_observed_at":"2026-08-06T19:01:20.925324Z","title":"Collier, L","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.925324Z"},"links":{"cited_paper":"/paper/2407.16798","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:e9de5eb03c3d3c25b9ddccc65e13af64399d41e9e0a30298948b7ee73cface98","observation_id":"74a765e0-c4dd-4d22-8b2f-d3829f461fd9","resolution":{"observed_at":"2026-08-06T19:01:20.925324Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.05596","last_updated":"2020-12-10T01:55:39Z","snapshot_observed_at":"2026-07-06T10:03:33.857220Z","submitted_at":"2020-10-12T11:00:54Z","title":"Topological recursion and uncoupled BPS structures I: BPS spectrum and free energies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.05596","snapshot_observed_at":"2026-08-06T19:01:20.932056Z","title":"Iwaki and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.932056Z"},"links":{"cited_paper":"/paper/2010.05596","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:d08ee381db428a7b5c0c102f2ec5cc0ed1af00f8f467e9b3c2272e5c5e24b4f1","observation_id":"8b1d8bc5-cc3d-4e38-abaf-d0e37bc2835e","resolution":{"observed_at":"2026-08-06T19:01:20.932056Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1205.2512","last_updated":"2012-10-28T16:41:03Z","snapshot_observed_at":"2026-07-06T02:47:56.964009Z","submitted_at":"2012-05-11T13:12:52Z","title":"The BPS Spectrum Generator In 2d-4d Systems","version":3},"cited_work":{"arxiv_id":"1205.2512","doi":null,"metadata_source":"pith","pith_arxiv_id":"1205.2512","snapshot_observed_at":"2026-08-06T19:01:21.004879Z","title":"The BPS Spectrum Generator In 2d-4d Systems","venue":"hep-th","work_id":"57e65f0b-dc32-434c-80e5-0820ad83eda4","year":2012},"citing_paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-06T19:01:20.938072Z"},"links":{"cited_paper":"/paper/1205.2512","citing_paper":"/paper/2507.06922"},"observation_digest":"sha256:f7951fdb9afcc3f098389cee503f1eff4fa9e9658d659f6f89fce2b95f4740f3","observation_id":"0a6bbd11-0d6c-404a-968f-d1ba58cbe117","resolution":{"observed_at":"2026-08-06T19:01:21.014169Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.06922","last_updated":"2025-07-09T14:59:43Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-07T14:40:48.560489Z","submitted_at":"2025-07-09T14:59:43Z","title":"Exact WKB of solutions by Borel summation and open TBA"},"reference_resolution":{"displayed":70,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":49,"verified_exact":10,"verified_fuzzy":11},"total_outbound_references":70},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 70 of 70 outbound references and 3 inbound Pith citation observations for arXiv:2507.06922."}