{"as_of":"2026-08-08T10:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b09433345c310e3056744d56255de95fc47ff03cb64b3ec6f741abe550aaaa39","coverage":[{"denominator":31,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":31,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T05:57:48.353842Z","state":"measured"},{"denominator":32,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":32,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-26T23:25:28.535000Z","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":"2026-07-03T22:39:01.696578Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"cited_work":{"arxiv_id":"2603.08194","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2603.08194","snapshot_observed_at":"2026-08-04T02:30:25.811919Z","title":"Artemev and D","venue":null,"work_id":"ffa38478-c983-4ee9-a168-81f5a34c38d7","year":null},"citing_paper":{"arxiv_id":"2606.18345","last_updated":"2026-06-16T18:00:02Z","snapshot_observed_at":"2026-08-06T03:50:04.445729Z","submitted_at":"2026-06-16T18:00:02Z","title":"Exponentiation of higher-point and higher-genus Virasoro conformal blocks in the semiclassical limit","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-06-26T23:25:28.535000Z"},"links":{"cited_paper":"/paper/2603.08194","citing_paper":"/paper/2606.18345"},"observation_digest":"sha256:13062645be8e92673d71ce7ed5e923b1b01aabb6bdd74d2ae317c2034ecba988","observation_id":"c962cebf-db15-4a7e-8bab-42a5cff6dfe3","resolution":{"observed_at":"2026-08-04T02:30:25.811919Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2603.08194/citation-record","integrity":"/paper/2603.08194/integrity","json":"/paper/2603.08194/citation-record.json","paper":"/paper/2603.08194"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T05:57:48.256410Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.256410Z"},"links":{"citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:8e297d15f276d91863cdf9d8a777456aae1824f4f4b74f00185feccd72d9bf20","observation_id":"5eba375f-3e6e-473a-96ed-8f68721e8136","resolution":{"observed_at":"2026-08-04T05:57:48.256410Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1810.03244","last_updated":"2018-10-08T01:50:13Z","snapshot_observed_at":"2026-08-02T01:14:22.962922Z","submitted_at":"2018-10-08T01:50:13Z","title":"Multipoint Conformal Blocks in the Comb Channel","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.03244","snapshot_observed_at":"2026-08-04T05:57:48.260633Z","title":"Rosenhaus,Multipoint Conformal Blocks in the Comb Channel,JHEP02(2019) 142, [1810.03244]","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.260633Z"},"links":{"cited_paper":"/paper/1810.03244","citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:da2bb41494b77735b6a33417880050c7befe63ef927fb6b37b2005615e0349a6","observation_id":"c3464add-219f-4253-bfa7-3a3ec44b40b2","resolution":{"observed_at":"2026-08-04T05:57:48.260633Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1512.07627","last_updated":"2016-04-21T07:49:47Z","snapshot_observed_at":"2026-07-06T04:40:57.195503Z","submitted_at":"2015-12-23T20:55:06Z","title":"From global to heavy-light: 5-point conformal blocks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1512.07627","snapshot_observed_at":"2026-08-04T05:57:48.264377Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.264377Z"},"links":{"cited_paper":"/paper/1512.07627","citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:d2a65f82fd3c32a683a2b4b553273f65f50c77f6fc937ffa9d7aff671439cf0a","observation_id":"fba421b7-1363-4e5b-8225-2e9f344e5171","resolution":{"observed_at":"2026-08-04T05:57:48.264377Z","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":"2026-08-04T05:57:48.268052Z","title":"Khromov and A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.268052Z"},"links":{"citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:37d7945de8a6b4ac3938704623db3b677a1a9a404ee236d522a6881b419f3020","observation_id":"48996384-b2e1-4c88-a6d2-b04dc4a9d764","resolution":{"observed_at":"2026-08-04T05:57:48.268052Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1010.5508","last_updated":"2010-10-26T20:06:56Z","snapshot_observed_at":"2026-07-06T02:18:15.737750Z","submitted_at":"2010-10-26T20:06:56Z","title":"Torus Amplitudes in Minimal Liouville Gravity and Matrix Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1010.5508","snapshot_observed_at":"2026-08-04T05:57:48.271546Z","title":"Belavin,Torus Amplitudes in Minimal Liouville Gravity and Matrix Models,Phys","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.271546Z"},"links":{"cited_paper":"/paper/1010.5508","citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:168235817e438d37fb6dbbcb11b5e1b310ee83bf79f7010982a7e38d866bdb5a","observation_id":"30f8348a-c4c7-4893-8715-9d3d203145f7","resolution":{"observed_at":"2026-08-04T05:57:48.271546Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1610.01558","last_updated":"2016-10-05T18:31:18Z","snapshot_observed_at":"2026-07-06T05:13:28.872442Z","submitted_at":"2016-10-05T18:31:18Z","title":"On the construction of the correlation numbers in Minimal Liouville Gravity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1610.01558","snapshot_observed_at":"2026-08-04T05:57:48.274926Z","title":"Aleshkin and V","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.274926Z"},"links":{"cited_paper":"/paper/1610.01558","citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:a8966e014e9d0d331a014de1021bc130f7785f3f8006083681fcd7cb4a6d399f","observation_id":"591f661e-55ce-425c-8612-a96c4fab99d7","resolution":{"observed_at":"2026-08-04T05:57:48.274926Z","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":"2026-08-04T05:57:48.278349Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.278349Z"},"links":{"citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:673983dd619eab86036e5b97a27149430df5fa57e918f86f9dc99cf68a046ccd","observation_id":"ce37bc33-0313-4cad-8d2a-93597666990e","resolution":{"observed_at":"2026-08-04T05:57:48.278349Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.10846","last_updated":"2024-01-16T13:25:23Z","snapshot_observed_at":"2026-07-06T16:20:44.981294Z","submitted_at":"2023-09-19T18:00:04Z","title":"The Virasoro Minimal String","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.10846","snapshot_observed_at":"2026-08-04T05:57:48.281315Z","title":"Collier, L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.281315Z"},"links":{"cited_paper":"/paper/2309.10846","citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:e8e9a6946ae0d7df447874ab9aa61d68f702c47fac5315aa89804030ca4d21bb","observation_id":"2718ca04-ac13-446e-8ca7-1fa2f25e33fe","resolution":{"observed_at":"2026-08-04T05:57:48.281315Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.18759","last_updated":"2025-02-09T12:50:03Z","snapshot_observed_at":"2026-08-08T02:30:02.062342Z","submitted_at":"2024-09-27T13:53:01Z","title":"The complex Liouville string: the worldsheet","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.18759","snapshot_observed_at":"2026-08-04T05:57:48.284862Z","title":"Collier, L","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.284862Z"},"links":{"cited_paper":"/paper/2409.18759","citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:081d89cbe28a95d3a5eeccab9a3818e08f0a338bab723041ef1606b3df781dd3","observation_id":"1d76fb09-ca3d-47b5-9c10-1543fbc67cef","resolution":{"observed_at":"2026-08-04T05:57:48.284862Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1705.07151","last_updated":"2019-04-04T22:03:09Z","snapshot_observed_at":"2026-08-07T23:01:27.171908Z","submitted_at":"2017-05-19T19:11:54Z","title":"The c=1 String Theory S-Matrix Revisited","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1705.07151","snapshot_observed_at":"2026-08-04T05:57:48.288064Z","title":"Balthazar, V","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.288064Z"},"links":{"cited_paper":"/paper/1705.07151","citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:a996d95494752422fe839826624f34139466277424c93fe66f2a798d4713f04b","observation_id":"a526336a-41f5-4020-9892-b6bf07a27ea1","resolution":{"observed_at":"2026-08-04T05:57:48.288064Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"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":"2026-08-04T05:57:48.291225Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.291225Z"},"links":{"cited_paper":"/paper/0906.3219","citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:01b9a89e82174bc6a94d5ad91a293f8f793aab0f610962ba91e2a7f70ab8ba24","observation_id":"e090a3f7-53e2-4f1a-ba6c-123184b773cd","resolution":{"observed_at":"2026-08-04T05:57:48.291225Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1012.1312","last_updated":"2011-05-10T21:12:15Z","snapshot_observed_at":"2026-07-06T02:20:16.815614Z","submitted_at":"2010-12-06T20:58:10Z","title":"On combinatorial expansion of the conformal blocks arising from AGT conjecture","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1012.1312","snapshot_observed_at":"2026-08-04T05:57:48.295037Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.295037Z"},"links":{"cited_paper":"/paper/1012.1312","citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:4f2491c913b7b952e5941d55f488779e931d7dc436d0f74b2d971eef6379b607","observation_id":"0d179bfb-4754-4613-bff0-3d33502c6d92","resolution":{"observed_at":"2026-08-04T05:57:48.295037Z","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":"2026-08-04T05:57:48.298151Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.298151Z"},"links":{"citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:d26bb005a95b1e5603182d714cd662cf1a449124e754026dcff71631343eb502","observation_id":"834c6a70-5d7e-4db0-b2b8-f0a979051cae","resolution":{"observed_at":"2026-08-04T05:57:48.298151Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1509.03612","last_updated":"2015-09-11T19:09:46Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2015-09-11T19:09:46Z","title":"Looking for a bulk point","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.03612","snapshot_observed_at":"2026-08-04T05:57:48.301185Z","title":"Maldacena, D","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.301185Z"},"links":{"cited_paper":"/paper/1509.03612","citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:06fbdf4ed3e14948638031881cd8f178faeb25586d39dd07454f5f328ac6fc7e","observation_id":"e24fea87-b268-4d0f-9b4f-edeb2bcb6488","resolution":{"observed_at":"2026-08-04T05:57:48.301185Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0711.1619","last_updated":"2007-11-10T21:42:21Z","snapshot_observed_at":"2026-08-02T15:33:09.911841Z","submitted_at":"2007-11-10T21:42:21Z","title":"Elliptic recurrence representation of the N=1 Neveu-Schwarz blocks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0711.1619","snapshot_observed_at":"2026-08-04T05:57:48.304372Z","title":"Hadasz, Z","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.304372Z"},"links":{"cited_paper":"/paper/0711.1619","citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:e9800ed04b5e307ccb53766dfbc421c2d7c68578ec2dc0452fc6e08a6530d516","observation_id":"ff819515-1b3b-47b4-867d-4d7dca60b5bc","resolution":{"observed_at":"2026-08-04T05:57:48.304372Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0911.2353","last_updated":"2009-11-22T21:18:19Z","snapshot_observed_at":"2026-07-06T02:03:41.874329Z","submitted_at":"2009-11-12T10:33:57Z","title":"Recursive representation of the torus 1-point conformal block","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0911.2353","snapshot_observed_at":"2026-08-04T05:57:48.307653Z","title":"Hadasz, Z","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.307653Z"},"links":{"cited_paper":"/paper/0911.2353","citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:5b0777f3e196f9c33a49e1ff4edc6b02bb8a535a378707c9aa3c2f024800ba7e","observation_id":"f7fb9a20-d99b-491e-a846-1990304e53d6","resolution":{"observed_at":"2026-08-04T05:57:48.307653Z","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":"2026-08-04T05:57:48.310716Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.310716Z"},"links":{"citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:daa8b28fca4c81e81773f6354ae82e172d48f03f9ea34563a39b29ed333ea4b1","observation_id":"cddb05ea-2247-4443-b447-be9f1e555700","resolution":{"observed_at":"2026-08-04T05:57:48.310716Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2512.17599","last_updated":"2026-05-21T03:00:55Z","snapshot_observed_at":"2026-08-08T05:46:46.273495Z","submitted_at":"2025-12-19T14:06:57Z","title":"Les Houches Lectures on Exact WKB Analysis and Painlev\\'e Equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2512.17599","snapshot_observed_at":"2026-08-04T05:57:48.313370Z","title":"Iwaki,Les Houches Lectures on Exact WKB Analysis and Painlev´ e Equations,2512.17599","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.313370Z"},"links":{"cited_paper":"/paper/2512.17599","citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:ec609e98b0cd235d256162ec8c24a8514b0d3b2f0bc8dcdac950040806676d26","observation_id":"0cf5e5c3-fcb5-4c00-a4b8-db4a849c5cd8","resolution":{"observed_at":"2026-08-04T05:57:48.313370Z","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":"2026-08-04T05:57:48.316671Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.316671Z"},"links":{"citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:5f879a5bddd2be0218757d70ffe1c4ca63d4ac45a70290b5582f62f75e794948","observation_id":"ffda8980-8e2b-4d2b-b994-249269ad8b57","resolution":{"observed_at":"2026-08-04T05:57:48.316671Z","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":"2026-08-04T05:57:48.319873Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.319873Z"},"links":{"citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:68a711c519bc9bd158ff95d97920ebe0b333f9c83907f833657b3e7e61173739","observation_id":"02af2316-25f4-42ea-87dd-723cf0e33fe4","resolution":{"observed_at":"2026-08-04T05:57:48.319873Z","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":"2026-08-04T05:57:48.322719Z","title":"Enolski and P","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.322719Z"},"links":{"citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:148564e500693d568822913056e882547abbe9d6aed49469895f0ca89f02c751","observation_id":"da52404d-f218-4470-9723-7a7945bf7e5a","resolution":{"observed_at":"2026-08-04T05:57:48.322719Z","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":"2026-08-04T05:57:48.325751Z","title":"Thomae,Beitrag zur bestimmung von","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.325751Z"},"links":{"citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:176851c319e485cbb07deb9f40ad169903a1b068c62de96cada70d4471d2b18c","observation_id":"e9dda9dc-7ad0-4988-b4cd-d88bc1cc6a51","resolution":{"observed_at":"2026-08-04T05:57:48.325751Z","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":"2026-08-04T05:57:48.328874Z","title":"Zamolodchikov,Conformal scalar field on the hyperelliptic curve and critical ashkin-teller multipoint correlation functions,Nuclear Physics B285(1987) 481–503","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.328874Z"},"links":{"citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:b326f95359213b61e056791b57db8ebc788e7e93754392467fad0c93c8628436","observation_id":"4041355a-581f-43ba-9903-364e35acd57a","resolution":{"observed_at":"2026-08-04T05:57:48.328874Z","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":"2026-08-04T05:57:48.331677Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.331677Z"},"links":{"citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:710f87502b8e18e78124e9914f24c158d0e4ccdfd83122ed984bb374394be829","observation_id":"7b31f7a8-8be4-4033-8b0d-88cfa8a9f712","resolution":{"observed_at":"2026-08-04T05:57:48.331677Z","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":"2026-08-04T05:57:48.334987Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.334987Z"},"links":{"citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:b553fb7683c99cecc056f3975cbb373f31244ac4224d5015aae8cacf7bb20c51","observation_id":"40d4c34f-1a1a-44b7-84bd-e65d81aea993","resolution":{"observed_at":"2026-08-04T05:57:48.334987Z","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":"2026-08-04T05:57:48.338073Z","title":"Imbimbo, S","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.338073Z"},"links":{"citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:eb1d60d16ffb535cf8b1ae2bb17d287269b01f8fe8f14a224b036b9593316195","observation_id":"721d1ea9-3bbf-4d48-8ecf-ccdfb220880b","resolution":{"observed_at":"2026-08-04T05:57:48.338073Z","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":"2026-08-04T05:57:48.341046Z","title":"Polchinski,String Theory, vol","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.341046Z"},"links":{"citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:1877b136a2336d1f9d9ffc9871d0e18adc47ffa31e278b583d788b2146fbb70b","observation_id":"0a4b7df5-e589-4d1b-aa4c-a5e7166712bd","resolution":{"observed_at":"2026-08-04T05:57:48.341046Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19421","last_updated":"2024-06-19T18:51:20Z","snapshot_observed_at":"2026-07-06T18:22:14.521977Z","submitted_at":"2024-05-29T18:03:48Z","title":"String Field Theory: A Review","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.19421","snapshot_observed_at":"2026-08-04T05:57:48.344136Z","title":"Sen and B","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.344136Z"},"links":{"cited_paper":"/paper/2405.19421","citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:19818aeeb01ad797cc7541116203c32dc2f1346ba8e3569cd6228d65be424733","observation_id":"8724a218-009c-4038-8fdc-d25a68867453","resolution":{"observed_at":"2026-08-04T05:57:48.344136Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.09222","last_updated":"2026-08-02T17:37:09Z","snapshot_observed_at":"2026-08-07T04:51:43.448132Z","submitted_at":"2025-06-10T20:26:36Z","title":"$x-y$ swap for $(2,2p+1)$ minimal string","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.09222","snapshot_observed_at":"2026-08-04T05:57:48.347767Z","title":"Artemev,x-y swap for a (2, 2p+1) minimal string,Phys","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.347767Z"},"links":{"cited_paper":"/paper/2506.09222","citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:a95bafaed24ae6c122498dee97f8f467672be7d99b05a9c87abc3360684c7ced","observation_id":"fae3ce4c-4783-4f69-94c2-c6d407ff1c44","resolution":{"observed_at":"2026-08-04T05:57:48.347767Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1503.02067","last_updated":"2018-12-12T09:15:33Z","snapshot_observed_at":"2026-07-06T04:11:15.487869Z","submitted_at":"2015-03-06T20:57:01Z","title":"Liouville theory with a central charge less than one","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1503.02067","snapshot_observed_at":"2026-08-04T05:57:48.350869Z","title":"Ribault and R","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.350869Z"},"links":{"cited_paper":"/paper/1503.02067","citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:b4e1d66cdb5fe0ef0f7f79dbdfc211ccc3db33813802554eb19d790a219ab9f9","observation_id":"2dd422b8-aa43-43bc-b1bb-896cfede5f30","resolution":{"observed_at":"2026-08-04T05:57:48.350869Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1307.0773","last_updated":"2013-07-09T19:06:31Z","snapshot_observed_at":"2026-07-06T03:17:16.271567Z","submitted_at":"2013-07-02T17:41:13Z","title":"S-duality as Fourier transform for arbitrary $\\epsilon_1,\\epsilon_2$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1307.0773","snapshot_observed_at":"2026-08-04T05:57:48.353842Z","title":"Nemkov,S-duality as Fourier transform for arbitraryϵ 1,ϵ 2,J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-04T05:57:48.353842Z"},"links":{"cited_paper":"/paper/1307.0773","citing_paper":"/paper/2603.08194"},"observation_digest":"sha256:5a98ecfcee77ddaf19d6107d928e024b9335a4c387c3323b16bda58c482832c1","observation_id":"1146a359-5a3a-4ba8-8d32-7df3ec58e93a","resolution":{"observed_at":"2026-08-04T05:57:48.353842Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2603.08194","last_updated":"2026-08-02T17:40:41Z","latest_version":2,"primary_category":"hep-th","snapshot_observed_at":"2026-08-06T23:24:21.988341Z","submitted_at":"2026-03-09T10:21:20Z","title":"WKB-asymptotics for multipoint Virasoro conformal blocks and applications"},"reference_resolution":{"displayed":31,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":31,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":31},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2603.08194."}