{"as_of":"2026-08-11T09:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0518e214a6ff1dadae640b30d10268c6784ae1359215df5647d37ba1efe53fe6","coverage":[{"denominator":54,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":54,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T21:27:09.414786Z","state":"measured"},{"denominator":58,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":58,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T13:48:55.857244Z","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":"2026-07-01T19:06:03.241568Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.05061","snapshot_observed_at":"2026-08-08T13:48:55.857244Z","title":"Byun, P.J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.07142","last_updated":"2025-06-29T02:12:33Z","snapshot_observed_at":"2026-08-09T00:01:10.400524Z","submitted_at":"2025-02-11T00:12:36Z","title":"Moments of characteristic polynomials for classical $\\beta$ ensembles","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-08T13:48:55.857244Z"},"links":{"cited_paper":"/paper/2501.05061","citing_paper":"/paper/2502.07142"},"observation_digest":"sha256:8df73c8ee093faf6261ee64b1b79be1b6cea42b3df3e5f9bdd8c543da77ce9b5","observation_id":"17029cc2-58fd-4aae-82d7-dc71025ce4da","resolution":{"observed_at":"2026-08-08T13:48:55.857244Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.05061","snapshot_observed_at":"2026-08-07T00:14:19.121259Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.14738","last_updated":"2025-06-17T17:19:33Z","snapshot_observed_at":"2026-08-11T05:38:07.872429Z","submitted_at":"2025-06-17T17:19:33Z","title":"Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T00:14:19.121259Z"},"links":{"cited_paper":"/paper/2501.05061","citing_paper":"/paper/2506.14738"},"observation_digest":"sha256:43eb03084d783be48c56873fe32b72a8ae180c020d264db2cd0793862262cc66","observation_id":"1b6208fa-5636-4c57-bdaa-b6c34012b1ef","resolution":{"observed_at":"2026-08-07T00:14:19.121259Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.05061","snapshot_observed_at":"2026-08-06T01:05:20.590652Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.04139","last_updated":"2025-08-06T07:08:42Z","snapshot_observed_at":"2026-08-11T05:38:50.679543Z","submitted_at":"2025-08-06T07:08:42Z","title":"Asymptotics of the real eigenvalue distribution for the real spherical ensemble","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T01:05:20.590652Z"},"links":{"cited_paper":"/paper/2501.05061","citing_paper":"/paper/2508.04139"},"observation_digest":"sha256:58bb164848e225e0f1801c1cd885af9be274054789d52f35230d4c5ad35fb903","observation_id":"bc2f9dc6-fec9-4fe3-bf11-e56ba0e0b645","resolution":{"observed_at":"2026-08-06T01:05:20.590652Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"cited_work":{"arxiv_id":"2501.05061","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.05061","snapshot_observed_at":"2026-07-01T19:06:03.241568Z","title":null,"venue":null,"work_id":"3d12e0c0-5089-4d7d-b434-7b933fdb1518","year":null},"citing_paper":{"arxiv_id":"2605.29594","last_updated":"2026-05-28T08:35:51Z","snapshot_observed_at":"2026-08-09T01:01:05.462679Z","submitted_at":"2026-05-28T08:35:51Z","title":"Free energy expansion of determinantal Coulomb gases in the quadratic fields with a point charge","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-29T00:54:43.316943Z"},"links":{"cited_paper":"/paper/2501.05061","citing_paper":"/paper/2605.29594"},"observation_digest":"sha256:bb97e73c20c6c099b6aa88118f58f458c84b8877d82ac15e6a9dec2c92860e83","observation_id":"6be2055d-1d6a-4465-9bc6-03376bf520e2","resolution":{"observed_at":"2026-07-01T19:06:03.242890Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.05061/citation-record","integrity":"/paper/2501.05061/integrity","json":"/paper/2501.05061/citation-record.json","paper":"/paper/2501.05061"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:27:10.632844Z","title":"Adhikari,Hole probabilities forβ-ensembles and determinantal point processes in the complex plane, Electron","venue":null,"work_id":"aafcc0bd-56a4-48b0-8bee-8ea5d1411c0b","year":2018},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.131503Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:4e386e849cbdeb01e6e1ef4a5a84abed7e70cd43983b8de18f0da5f332a72ecc","observation_id":"b47f8df4-3da0-4b43-b317-ff7f5e332e9b","resolution":{"observed_at":"2026-08-10T21:27:10.639112Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.614476Z","title":"Adhikari and N.K","venue":null,"work_id":"cb6c2bfc-b527-4c5d-b5c6-fd9287f0e117","year":2017},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.137433Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:a112c6f7b2f1aeecd9173fba195e75fdd8ec6cf027f0ca94f7c02d733a65fe89","observation_id":"5c8e9971-a25f-422b-bace-b0c38477c39c","resolution":{"observed_at":"2026-08-10T21:27:10.620216Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.594008Z","title":"Akemann, S.-S","venue":null,"work_id":"7f8b6f8c-c8c8-4bc6-a4c7-6433b1e76361","year":2021},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.142975Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:6d6a23f92bb430d8ccf33d2af14e3a99c19c18b083fd8c27bcc90375a0f2b307","observation_id":"e285029e-f25c-44e0-9cb2-d9dc89e75bce","resolution":{"observed_at":"2026-08-10T21:27:10.600614Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.13904","last_updated":"2025-09-02T14:48:32Z","snapshot_observed_at":"2026-08-11T05:38:24.173413Z","submitted_at":"2023-12-21T14:50:28Z","title":"Free energy and fluctuations in the random normal matrix model with spectral gaps","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.13904","snapshot_observed_at":"2026-08-10T21:27:09.148699Z","title":"Ameur, C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.148699Z"},"links":{"cited_paper":"/paper/2312.13904","citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:e54b5692d4868b7344b3ed27869f311dd15e8a1209348613dde68cff7acc8a7c","observation_id":"fd1e218f-369e-4677-a175-99a72d8ebf88","resolution":{"observed_at":"2026-08-10T21:27:09.148699Z","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":"2026-08-10T21:27:10.572225Z","title":"Ameur, N-G","venue":null,"work_id":"36163e1e-309a-4351-a16d-0f37367df7e7","year":2023},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.154683Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:e1de9eb24aab9d6283691abfb2fc3fcb6d504c1566f960c1a5761b21fa89f9f7","observation_id":"517ab75d-6cbb-4d17-a413-8b0526a59ad7","resolution":{"observed_at":"2026-08-10T21:27:10.577780Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.554746Z","title":"Balogh, M","venue":null,"work_id":"aa828349-0292-4f6d-989d-5e732e299b72","year":2015},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.160088Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:fa13a91a9b05a6d37291b42db49704b9d12f860caf21bd712ad9644691f03e16","observation_id":"0f71b603-3ee9-4703-9ffc-e54caf4350e9","resolution":{"observed_at":"2026-08-10T21:27:10.560015Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.536706Z","title":"Balogh and M","venue":null,"work_id":"bfdd1ba1-9fee-4dcf-9850-76d467fb7d11","year":2015},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.165950Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:dac05d39a3fcb2a74a4bf48a2d74a4a8f96221e83806ac67feb26c0b48db3d50","observation_id":"5bcb25b4-67a0-40cf-aa95-03e9a0cca97b","resolution":{"observed_at":"2026-08-10T21:27:10.542208Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.518474Z","title":"Benaych-Georges and F","venue":null,"work_id":"a863b58d-c555-4821-94ef-2907273a18e6","year":2012},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.171777Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:5346c481a942c3fef405ee7da8e3156a54d482d06bf9744811dbe584e796aa32","observation_id":"f977eafa-908d-4312-b0af-cd4612009dea","resolution":{"observed_at":"2026-08-10T21:27:10.523394Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.502715Z","title":"Brauchart, P.D","venue":null,"work_id":"1d1e913b-f59b-438a-92a2-e82148a763ad","year":2018},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.177378Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:6e4fb64acc33a82f9c2eb9d4bcfbff3dfad6eebd5f3c41c111fba9b75eac3b47","observation_id":"5b31e517-f801-48c1-bc90-d634b7b280e0","resolution":{"observed_at":"2026-08-10T21:27:10.507412Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:09.182617Z","title":"Byun,Planar equilibrium measure problem in the quadratic fields with a point charge, Comput","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.182617Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:7fc70c56106b10ed31fceedcccea5427d5f8a31a773e07f2f1c2514663dadcee","observation_id":"67d39abd-0195-4ffb-ba11-337d4564cf81","resolution":{"observed_at":"2026-08-10T21:27:09.182617Z","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":"2026-08-10T21:27:09.187874Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.187874Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:cf9729aa3657d2e209cf7a0dca3617ffdc087e8aa2f6ab38f457030361d3b0f7","observation_id":"b9058e6a-ee1e-4a6d-8604-3bb8195b1894","resolution":{"observed_at":"2026-08-10T21:27:09.187874Z","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":"2026-08-10T21:27:10.463463Z","title":null,"venue":null,"work_id":"02c75c39-ba0e-42c2-9de2-195b5a3f6456","year":null},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.193363Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:523b2c28c9b5ffffe5f442999b8688abeaf3c157c3f68cd2731f728b1c21c7b9","observation_id":"ad96754e-f254-4fa5-8b98-9bb28dc72586","resolution":{"observed_at":"2026-08-10T21:27:10.468859Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.446298Z","title":"Byun and P.J","venue":null,"work_id":"9257b4de-7912-4e0d-9761-fab548656984","year":2023},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.198511Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:20285635de80c0cd2743e539e6208c35900396bdd9d44ff539c1c7f061de1989","observation_id":"942dcc59-674d-47eb-9d56-568ddbd79953","resolution":{"observed_at":"2026-08-10T21:27:10.451615Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.428782Z","title":"Byun and P.J","venue":null,"work_id":"f744d97e-a34b-4f79-9a8c-5b1f3b25db94","year":2024},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.203592Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:ff028d8bd4dcf3f89e4daeb3c2442887819ee088a1754308521d2ba958786c98","observation_id":"95b7eee5-ce57-41c7-a54b-52e4292aa125","resolution":{"observed_at":"2026-08-10T21:27:10.434207Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.410432Z","title":"Byun, N.-G","venue":null,"work_id":"6a32c45b-4437-42d5-9c76-00366972d74c","year":2023},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.208751Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:ce73a0f21ba3a7d73ffb16bfb7a379fe73d4b845b7ddffd8438f1c4c7f1d1a87","observation_id":"86af8819-1cfd-458b-95f3-80d84bdd3f5c","resolution":{"observed_at":"2026-08-10T21:27:10.415882Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.00386","last_updated":"2024-05-01T08:36:31Z","snapshot_observed_at":"2026-07-06T18:08:04.815730Z","submitted_at":"2024-05-01T08:36:31Z","title":"Large gap probabilities of complex and symplectic spherical ensembles with point charges","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.00386","snapshot_observed_at":"2026-08-10T21:27:09.213850Z","title":"Byun and S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.213850Z"},"links":{"cited_paper":"/paper/2405.00386","citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:856df1390cf6c9e0e3cbde93ded5f5c763185e7fa1267103b325034138002920","observation_id":"609e8991-a233-4ea6-93b5-7baf8b978f44","resolution":{"observed_at":"2026-08-10T21:27:09.213850Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.18983","last_updated":"2025-05-15T11:46:20Z","snapshot_observed_at":"2026-07-06T17:37:17.675101Z","submitted_at":"2024-02-29T09:38:37Z","title":"Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.18983","snapshot_observed_at":"2026-08-10T21:27:09.219588Z","title":"Byun, S.-M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.219588Z"},"links":{"cited_paper":"/paper/2402.18983","citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:4989a673720e4de02de6f1773ea87c5ecdf19c76b510aebe44ec3208e478fb1d","observation_id":"4edc5369-88bb-45b3-959b-f2e466de7bd9","resolution":{"observed_at":"2026-08-10T21:27:09.219588Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.15285","last_updated":"2026-07-11T11:45:03Z","snapshot_observed_at":"2026-07-16T23:17:38.807177Z","submitted_at":"2023-11-26T12:57:25Z","title":"Hole probabilities and balayage of measures for planar Coulomb gases","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.15285","snapshot_observed_at":"2026-08-10T21:27:09.224774Z","title":"Charlier, Hole probabilities and balayage of measures for planar Coulomb gases , arXiv:2311.15285","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.224774Z"},"links":{"cited_paper":"/paper/2311.15285","citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:7ae41fbe1681ac1e0fe05fb5856d406ad3b55f60b64c0c449f2b4a45278f031e","observation_id":"27036cb5-eb92-43ea-987c-d288d86f8447","resolution":{"observed_at":"2026-08-10T21:27:09.224774Z","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":"2026-08-10T21:27:10.391910Z","title":"Charlier and R","venue":null,"work_id":"a9f85556-90ce-4c28-8e96-b442e9625604","year":2021},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.230721Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:8d1836fb4689eac1846f1f90b3f13bb14c885164a8c8afe7ff00af40ce6fc028","observation_id":"875f8cd7-c7e9-4875-8164-677d311d4ddf","resolution":{"observed_at":"2026-08-10T21:27:10.397555Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.372940Z","title":"Collins,Product of random projections, Jacobi ensembles and universality problems arising from free probability, Probab","venue":null,"work_id":"75aae507-bc74-443d-8985-2b53dbcc7331","year":2005},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.235900Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:f0c621e07b8b1eed329167dc005c9079486989bad46376cb7355eed128733cd9","observation_id":"9911900a-d7a0-4540-bc0d-38beeabb8f0f","resolution":{"observed_at":"2026-08-10T21:27:10.379496Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1907.0480","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:27:09.756424Z","title":"Criado del Rey and A.B.J","venue":null,"work_id":"caa0074b-5fec-45c7-9f66-71244284172d","year":1907},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.240946Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:4ddcd5b647987ceaac4c6ac75469837c9071a37a3b6596cd2d0f65d67c2f6546","observation_id":"4d1d4fe4-1457-41d0-9b16-e3f0ebff0386","resolution":{"observed_at":"2026-08-10T21:27:09.765538Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.355297Z","title":"Criado del Rey and A.B.J","venue":null,"work_id":"df6b688e-6bb9-47d8-b8f5-76c7a09bbafc","year":2022},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.246031Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:b8659e1296f8f6e87f70a109bb27d326691b579ca7548b36f789ce1236b7dcb4","observation_id":"344387c0-06f8-4850-9a02-a4737fc73a62","resolution":{"observed_at":"2026-08-10T21:27:10.360771Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.338977Z","title":"Crowdy and M","venue":null,"work_id":"415259d2-8e5b-44ab-9b5f-a656d2749064","year":2003},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.251115Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:2b2c29c21f236f8794cebf037cb1c344958da61afb6a2e533e77f34b09469cdf","observation_id":"5d72b7b6-8905-467a-880c-2f05d463e8c8","resolution":{"observed_at":"2026-08-10T21:27:10.344125Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.321819Z","title":"Deaño and N","venue":null,"work_id":"39744cc8-cbc8-43f2-9fdd-6fe2c99d29e5","year":2022},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.256664Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:79e3d23cc9878b61d4e303649f78216b16721c22d9b172abbf9b63f5edef3cce","observation_id":"17d96407-6c49-4e9f-8f1e-fbcc31d75e99","resolution":{"observed_at":"2026-08-10T21:27:10.327376Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.303617Z","title":"Etingof and X","venue":null,"work_id":"10a0455e-efca-4ecb-840d-602c59ce10bc","year":2007},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.261284Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:8519630d982c7ebbdc1b31b56398a1a9e0f97481aa80318fcecbdf9a804570fa","observation_id":"f1fa3f22-995f-495b-97f3-85f08708fb4c","resolution":{"observed_at":"2026-08-10T21:27:10.309492Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.286246Z","title":"Fischmann and P.J","venue":null,"work_id":"b83039b0-ba34-43c0-9350-4f12a8fe7e9d","year":2011},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.266181Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:389bf7220dafa68203b5f413e9245a62e3bef8bc860a3662cf9788f85d9aed53","observation_id":"daeaf11b-7119-4d39-a60f-c6d9cceff99f","resolution":{"observed_at":"2026-08-10T21:27:10.291015Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:09.270875Z","title":"Forrester,Log-gases and random matrices, Princeton University Press, Princeton, NJ, 2010","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.270875Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:22ea4c3df430ee6ec807cf47b04f64df519cdb2d54bea752bcbc27eccfe76048","observation_id":"af0d5ba5-5771-4433-b847-9799cc4fdf6c","resolution":{"observed_at":"2026-08-10T21:27:09.270875Z","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":"2026-08-10T21:27:10.254118Z","title":"Forrester,Large deviation eigenvalue density for the soft edge Laguerre and Jacobi β-ensembles, J","venue":null,"work_id":"18518d21-6626-4130-b4cf-92bd4936b3a9","year":2012},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.275875Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:e91df23ac465e3876f65236cf7fe7782e1e9a464cf3d110de66e8c9c080d3456","observation_id":"d06992a7-a620-4e95-970a-6e7693e2afe3","resolution":{"observed_at":"2026-08-10T21:27:10.260487Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.235774Z","title":"Forrester,Dualities in random matrix theory, preprint","venue":null,"work_id":"87f8e4aa-7f29-4468-9aa1-fa7084f8c312","year":null},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.280653Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:da907351e39cf2a451e833b7ae1dad60356884605fb2221637a33411cfe3eeba","observation_id":"b953486e-6ca0-4b1f-8fdd-e4acfabd3839","resolution":{"observed_at":"2026-08-10T21:27:10.241920Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.216587Z","title":"Forrester and M","venue":null,"work_id":"0aafe081-5187-4493-be76-57620cfa1c21","year":2009},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.285445Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:ac2a433d48ecf2fbea2beb87054cc42f027d97b299e4a6d7510e78f06544c5e4","observation_id":"e5bf197c-c467-4c15-919a-00d33b4baf16","resolution":{"observed_at":"2026-08-10T21:27:10.222665Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.199466Z","title":"Forrester and E.M","venue":null,"work_id":"a8d5509c-ee97-4ed0-aeb0-abd0890342a7","year":2009},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.290367Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:85cca00e81a9bfedcc5010a2519524b7d85bc84b50891a80a5c18c1acc533432","observation_id":"82f3564b-76bb-4433-af31-8adb9cb444bc","resolution":{"observed_at":"2026-08-10T21:27:10.204995Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.181415Z","title":"Forrester and N.S","venue":null,"work_id":"e2ec7f1f-86b1-477c-9ae4-5645dd090ade","year":2015},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.295539Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:5027811bbb33aa3dbaab2bb724fbe4b25b7503bbf7c33ef830fd1ef9823a50c1","observation_id":"9c52d0c8-84a6-432e-9984-d0ad7f71a14f","resolution":{"observed_at":"2026-08-10T21:27:10.187750Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.163855Z","title":"Gustafsson and V.G","venue":null,"work_id":"17137e43-fdc0-4a97-a7ed-a605f7cb71b5","year":2011},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.301255Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:bcf5f0b7eafc137ceae9d2a46853a3157733cb6b6398cc0f7d5d90a21f76bd2b","observation_id":"77d85898-6af4-432f-a146-ec3151c0f2a3","resolution":{"observed_at":"2026-08-10T21:27:10.168887Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.147319Z","title":"Holcomb and G.R.M","venue":null,"work_id":"2887d285-9471-4236-a358-11c9ebb988fd","year":2012},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.307125Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:8b615c48adf6d9913111352516f00d096de47c3fb3940abc682d20bc4b65d5cc","observation_id":"2c300745-3a5f-45a6-98d6-ab12aeed74f9","resolution":{"observed_at":"2026-08-10T21:27:10.152638Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.130136Z","title":"Jancovici and G","venue":null,"work_id":"b5a0bd5a-6abd-4c0e-a87c-c7db04717bee","year":1998},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.312408Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:76d74f02932e761652193b7ff1a24462bdd3ea076fd171b3ec35bd4a821c25c0","observation_id":"a3b2226b-3dc1-47f7-bc79-90fb570b2f06","resolution":{"observed_at":"2026-08-10T21:27:10.135473Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2408.12952","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:27:09.665365Z","title":"Kieburg, A.B.J","venue":null,"work_id":"8a25c9a3-3389-49ce-b57c-4a91d73ba267","year":null},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.318035Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:6ae06c3e6f6a0dcc274db94cf303e651c768bebc407abb5d30d6e39eb6403024","observation_id":"d67238c3-b52c-4d82-94fd-2cd7bfd6ad21","resolution":{"observed_at":"2026-08-10T21:27:09.673774Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.12263","last_updated":"2024-11-26T00:28:45Z","snapshot_observed_at":"2026-07-06T15:45:06.154616Z","submitted_at":"2023-06-21T13:29:47Z","title":"Local Statistics in Normal Matrix Models with Merging Singularity","version":4},"cited_work":{"arxiv_id":"2306.12263","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.12263","snapshot_observed_at":"2026-08-10T21:27:09.498308Z","title":"Local Statistics in Normal Matrix Models with Merging Singularity","venue":"math-ph","work_id":"0fa70f2a-c5a3-4726-bb34-cb1a67ae9741","year":2023},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.323246Z"},"links":{"cited_paper":"/paper/2306.12263","citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:b5064a1e595c5698fa2fcd7ebba9ab97702e654dd96986b05065874efa665bcd","observation_id":"a176fa25-9569-4587-a1be-d5278bb59baa","resolution":{"observed_at":"2026-08-10T21:27:09.504854Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.112727Z","title":"Lee and M","venue":null,"work_id":"df5693fa-a444-4d0d-acb8-d4c3255973c4","year":2023},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.328917Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:16da7e236953edc9747d2f1098f2d4f2126880db9a0543b892ddfa20f9609dca","observation_id":"32e611ba-6d3c-4f6c-8979-da88494000e5","resolution":{"observed_at":"2026-08-10T21:27:10.118249Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.094681Z","title":"Legg and P.D","venue":null,"work_id":"a11760a4-94b2-483d-be27-2f92a70d7485","year":2021},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.334307Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:9594f4ea9f0aa172ff1974a4ed6ea2c0a5a6607ff5c0cc2b14cedd5e36adeed5","observation_id":"bff3aebd-2512-4735-9461-2c8e6fad6776","resolution":{"observed_at":"2026-08-10T21:27:10.100268Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.075928Z","title":null,"venue":null,"work_id":"da63f387-a70a-4641-8580-7164d1fec975","year":2014},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.339795Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:bb4ad3a83b7b945885ef8ad268fa73ab26bd268d542a03ce0bfe6c3ddaa64635","observation_id":"67d7cba1-acbe-4e33-acf8-dfefb2aa26b6","resolution":{"observed_at":"2026-08-10T21:27:10.082127Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.056885Z","title":"Mays,A real quaternion spherical ensemble of random matrices, J","venue":null,"work_id":"3f45926c-9f05-4448-b5fb-7ca8cc0e0293","year":2013},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.345372Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:04fe54c614e5eb51b59bf31463d7fb9010e32f1230825f612c0344f3eda95b44","observation_id":"b28e6769-2e4a-48f2-b6e4-dca263b4939d","resolution":{"observed_at":"2026-08-10T21:27:10.062810Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.037293Z","title":"Mays and A","venue":null,"work_id":"76323853-70a0-4eb5-975f-a72bc7c62cc3","year":2017},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.350594Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:3372281b0ecdb03ea599b210879a3e7b319af00ce747867b9b23e5c8e83a9cd4","observation_id":"aed6ab7f-b5cb-4396-abd9-b210aec6da48","resolution":{"observed_at":"2026-08-10T21:27:10.043676Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:10.018883Z","title":null,"venue":null,"work_id":"56d287d3-bc06-41aa-a558-ed6dd5bc7943","year":1979},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.356457Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:39d74762d254f85dbd087d75b9be736a6f96653ed524401abf01473d7cb094b4","observation_id":"03f60acd-44df-4d22-87e3-5fd6be6ba1fd","resolution":{"observed_at":"2026-08-10T21:27:10.023960Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:09.999209Z","title":"Ramli, E","venue":null,"work_id":"4344c26e-6a01-458a-9157-601afa0fa3f3","year":2012},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.361896Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:bfb35e53e14c1f57e320dda27c06f4d1397c680686942ff6d7a01e7d4ec69592","observation_id":"93c1b02b-7a7a-4d70-8953-6c5672de6f6b","resolution":{"observed_at":"2026-08-10T21:27:10.005262Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:09.979115Z","title":"Richardson,Hele-Shaw flows with a free boundary produced by the injection of fluid into a narrow channel, J","venue":null,"work_id":"f38c537f-a14c-4004-a2f5-f4a72fba4218","year":1972},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.367165Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:3f0c652d9258fdabc0611702c795067f3c81f20946f1df757992aed0ea6e2864","observation_id":"b70bf4e3-55dc-4e35-a990-3e4b22a5ea5e","resolution":{"observed_at":"2026-08-10T21:27:09.985471Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:09.958649Z","title":"Saff and V","venue":null,"work_id":"fe3ec768-ab1e-42d7-9506-621d214ae776","year":1997},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.372693Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:a148326c87db8615d6972a21b35438018b88225f218ea1a0c119726325810fcb","observation_id":"1ba3753b-debd-4351-af5d-a0aeca14839d","resolution":{"observed_at":"2026-08-10T21:27:09.964759Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:09.937460Z","title":"Serebryakov,Multi-point correlators in non-Hermitian matrices and beyond, Ph.D","venue":null,"work_id":"1a1ccfe0-65c5-4ca1-a57a-fe92e13f1b42","year":2023},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.378001Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:7119cf3dcfc96441ef510551377781ae945d80cfbddabf8607718dc5c217b75b","observation_id":"f481b8f7-c035-4ad3-a574-aa5a4ad918f1","resolution":{"observed_at":"2026-08-10T21:27:09.943374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:09.383090Z","title":"Serebryakov, N","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.383090Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:38a738281d1f88cbbdb2fe9b69477e92898914fac8d8cb356d31f2e1e25021c0","observation_id":"577a0261-ecdf-42a0-8ad6-828f49ce541f","resolution":{"observed_at":"2026-08-10T21:27:09.383090Z","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":"10.1007/s00023-024-01483-6","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:27:09.450897Z","title":"Serebryakov and N","venue":null,"work_id":"89f25ebe-f928-467e-b0e5-a070a147ef90","year":2024},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.388202Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:a163300ebc2e5375340aaa134e8d69f7e2620dd4a9e2d555057d568289e50d19","observation_id":"dc260a30-a7cd-4308-81d3-b8c23bf4b847","resolution":{"observed_at":"2026-08-10T21:27:09.458137Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-08-10T21:27:09.393656Z","title":"Serfaty,Lectures on Coulomb and Riesz gases, arXiv:2407.21194","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.393656Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:ab323c99e9a6ef3acd369edcd07f4dbf5990e2494a2872135bb117ab30833f1b","observation_id":"386c13cd-0d7b-45b8-89ca-13166f89c876","resolution":{"observed_at":"2026-08-10T21:27:09.393656Z","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":"2026-08-10T21:27:09.399235Z","title":"Tracy and H","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.399235Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:3d749729006c8d1922cc54bda8982ee9e3e30e8fc9939428e40d11f159c27069","observation_id":"4fb93044-564e-4bb5-8d65-5117c85e6394","resolution":{"observed_at":"2026-08-10T21:27:09.399235Z","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":"2026-08-10T21:27:09.892578Z","title":"Wachter,The strong limits of random matrix spectra for sample matrices of independent elements, Annal","venue":null,"work_id":"a1300cfe-4b12-45cf-bf7a-c34d7a618e4c","year":1978},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.404676Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:8ecac63296a34de29280eaa0b644187f8fb3dc5e53aac28923b13ed45086b3bb","observation_id":"70ab2639-597e-4182-8e7d-8ed173b8513f","resolution":{"observed_at":"2026-08-10T21:27:09.898901Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:09.871988Z","title":"Webb and M.D","venue":null,"work_id":"b5ef61a4-8b82-402b-9807-20528b4f4a15","year":2019},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.409864Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:2fdce51839270039930b71ff3bcf4b80bc90683b8efb90d35fb5576302c0dfc5","observation_id":"0cb8286d-5bdb-42fd-99b1-8355c4c3eb92","resolution":{"observed_at":"2026-08-10T21:27:09.877548Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:27:09.853624Z","title":"Zyczkowski and H.-J","venue":null,"work_id":"39d6c951-cc6c-4349-a7fe-3b0165f63034","year":2000},"citing_paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-10T21:27:09.414786Z"},"links":{"citing_paper":"/paper/2501.05061"},"observation_digest":"sha256:515e17b6801e7e5915b2698b1b89bf9ad2a9a1cfdf8fd1e27f5f31f4967d1b66","observation_id":"e36d71b9-476b-4a6f-af65-b2ad81a1c6c8","resolution":{"observed_at":"2026-08-10T21:27:09.859322Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.05061","last_updated":"2025-01-09T08:33:38Z","latest_version":1,"primary_category":"math-ph","snapshot_observed_at":"2026-08-10T21:17:32.583773Z","submitted_at":"2025-01-09T08:33:38Z","title":"Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges"},"reference_resolution":{"displayed":54,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":13,"verified_exact":4,"verified_fuzzy":37},"total_outbound_references":54},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 4 inbound Pith citation observations for arXiv:2501.05061."}