{"as_of":"2026-08-08T09:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7e98e3646c909d559e970702836229866c673e1567e448199c620365fb0b96af","coverage":[{"denominator":45,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":45,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T12:55:51.399773Z","state":"measured"},{"denominator":46,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":46,"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":"2026-06-29T00:54:43.316943Z","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":"2026-07-01T19:06:03.279388Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"cited_work":{"arxiv_id":"2510.01745","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2510.01745","snapshot_observed_at":"2026-07-31T02:05:38.631386Z","title":"Rougerie,Free-energy variations for determinantal 2D plasmas with holes, arXiv:2510.01745","venue":null,"work_id":"8abd4870-0b24-43a0-b86e-87b887765f0e","year":null},"citing_paper":{"arxiv_id":"2605.29594","last_updated":"2026-05-28T08:35:51Z","snapshot_observed_at":"2026-08-06T10:05:57.687619Z","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":94,"source":"pdf_text","source_observed_at":"2026-06-29T00:54:43.316943Z"},"links":{"cited_paper":"/paper/2510.01745","citing_paper":"/paper/2605.29594"},"observation_digest":"sha256:917cb9867a56bbcfef69aa0a5ed3bc8eb3573b34892bf54e8d29cc7b9058312c","observation_id":"df381c8c-b0cd-4478-8925-29d4a174e1ff","resolution":{"observed_at":"2026-07-31T02:05:38.631386Z","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/2510.01745/citation-record","integrity":"/paper/2510.01745/integrity","json":"/paper/2510.01745/citation-record.json","paper":"/paper/2510.01745"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T12:55:48.867196Z","title":"Characteristic polynomials of complex random matrix mo dels","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:48.867196Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:721a46b211cf9ed18d61097de6bf8fe77c53e6b4b8fa134a937c8b853a9e9190","observation_id":"b2f072d7-6dcb-423c-ab45-c6a5c80bcf03","resolution":{"observed_at":"2026-08-04T12:55:48.867196Z","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":"2026-08-04T12:55:48.903515Z","title":"J., L AHIRY, S., AND SHEN, B","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:48.903515Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:de4efc42d4a7f66e1c0ef7132f141b56162b3163fdf062770a2d31411e473a18","observation_id":"52ec88da-f66c-4b43-97a9-727265c55225","resolution":{"observed_at":"2026-08-04T12:55:48.903515Z","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":"2026-08-04T12:55:48.951211Z","title":"Birth of a gap: Critical phenomena in 2d","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:48.951211Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:c3685b8b14fc902470c9a377ee4dfa9066f57b1b9cbbcc36773011f5fde2f2b0","observation_id":"2bf27aec-587d-4b73-84ff-2788ceb714ba","resolution":{"observed_at":"2026-08-04T12:55:48.951211Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.13904","last_updated":"2025-09-02T14:48:32Z","snapshot_observed_at":"2026-07-06T17:06:33.179039Z","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":"2026-08-04T12:55:49.092677Z","title":"Free energy and fluctuations in the random normal matrix model with spectral gaps","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:49.092677Z"},"links":{"cited_paper":"/paper/2312.13904","citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:631544e5a303aed1404ec1803791d1eddee257ae7c798ebc98e3a6860eb1cfaf","observation_id":"13e16444-11d0-443e-bfe4-b6bdd6ce4794","resolution":{"observed_at":"2026-08-04T12:55:49.092677Z","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":"2026-08-04T12:55:49.119578Z","title":"Fluctuations of eigenvalues of random normal matrices","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:49.119578Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:2e5471430b40312bc2944f21c0f07abb49cd0d600aae62c267b29fdf15c70ac9","observation_id":"fa2ff432-ee48-4d8e-b9c5-482e95276a57","resolution":{"observed_at":"2026-08-04T12:55:49.119578Z","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":"2026-08-04T12:55:49.140502Z","title":"W., G UIONNET , A., AND ZEITOUNI , O","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:49.140502Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:5b555afb684ede13ce5a02ed6ce5e0aa6a6cc1ee8ee01458435ebd22be4eee55","observation_id":"a28abe40-c65b-4fc8-8f6f-faf837e68691","resolution":{"observed_at":"2026-08-04T12:55:49.140502Z","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":"2026-08-04T12:55:49.204999Z","title":"The two-dimensional Coulomb plasma: quasi-free approximation and central limit theore m","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:49.204999Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:071a1a6b2eed2dda13f16bb761511c90a0b4af0f45b6ba4eac7f5fbb719772cc","observation_id":"b5ab6c23-a2a8-4dc7-a154-cacf58880601","resolution":{"observed_at":"2026-08-04T12:55:49.204999Z","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":"2026-08-04T12:55:49.275023Z","title":"Local density for two-dimensional one-component plasma","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:49.275023Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:758423c60a173f700dfd8e376aca1119bf022063d6befafcf8dc1ed6907aad60","observation_id":"5b6d909f-6a47-4462-9efe-3c343af86f72","resolution":{"observed_at":"2026-08-04T12:55:49.275023Z","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":"2026-08-04T12:55:49.305193Z","title":"Asymptotic expansion of /u1D6FDmatrix models in the one-cut regime","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:49.305193Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:b9a6c9c1235d859c38265ace67f14d64116d23f74d4f499b2fca92a36fbcc1d6","observation_id":"1542e9e8-73be-4afe-b09e-4f73597b67bb","resolution":{"observed_at":"2026-08-04T12:55:49.305193Z","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":"2026-08-04T12:55:49.385355Z","title":"Asymptotic expansion of matrix models in the multi-cut regime","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:49.385355Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:71625485ef79aaf0a16cc1d17e21fdc6df9baf272524ebcecb0c33c9cb27e959","observation_id":"ae1bdc8e-04ab-40bc-869a-5a3eb12c198b","resolution":{"observed_at":"2026-08-04T12:55:49.385355Z","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":"2026-08-04T12:55:49.418148Z","title":"Free energy of the Coulomb gas in the determinantal case o n riemann surfaces","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:49.418148Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:fd62932e2dd72adcc621dd89d7654a582ec2754e0cef3d0c20da917745fd4376","observation_id":"f806e3c2-ecad-4c49-95e9-e1a4082b50af","resolution":{"observed_at":"2026-08-04T12:55:49.418148Z","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":"2026-08-04T12:55:49.475873Z","title":"S., D RAGNEV, P","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:49.475873Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:ce25a9e132be5668b44a4685c30214a487e673c6d2c0fe0148076f164a81b520","observation_id":"8800a76e-4887-4c85-9c22-5dc94e0d5542","resolution":{"observed_at":"2026-08-04T12:55:49.475873Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.00316","last_updated":"2025-08-01T04:56:36Z","snapshot_observed_at":"2026-08-06T10:16:23.993404Z","submitted_at":"2025-08-01T04:56:36Z","title":"Anomalous free energy expansions of planar Coulomb gases: multi-component and conformal singularity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.00316","snapshot_observed_at":"2026-08-04T12:55:49.505653Z","title":"Anomalous free energy expansions of planar Coulomb g ases: multi-component and con- formal singularity","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:49.505653Z"},"links":{"cited_paper":"/paper/2508.00316","citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:2fb307f6159e4ba98fb1ddb1ab937fc643964818876ccf57cc441631d9c55875","observation_id":"4e4901e6-7f51-4a2c-8934-7eee3d67120e","resolution":{"observed_at":"2026-08-04T12:55:49.505653Z","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":"2026-08-04T12:55:49.538180Z","title":"Precise large deviations in geometric last passage percolation","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:49.538180Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:242b3c50e8080d73e2b7289d61bff948aca96cfb2ef13a2ac0f0d27eb35b803c","observation_id":"dbcdcd07-159d-4558-b1db-47b6ca65cfa4","resolution":{"observed_at":"2026-08-04T12:55:49.538180Z","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":"2026-08-04T12:55:49.644872Z","title":"Properties of the one-component Coulomb gas on a spher e with two macroscopic external charges","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:49.644872Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:94ac63b433bc39ef9c16d6f98831abf1160878c667669e5b40503e8c5094bd83","observation_id":"e0f7e734-c849-4b59-94a6-48228299b069","resolution":{"observed_at":"2026-08-04T12:55:49.644872Z","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":"2026-08-04T12:55:49.681445Z","title":"Partition functions of determinantal and Pfaffian Cou lomb gases with radially symmetric potentials","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:49.681445Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:bba399faee54a6b0e88a10c1e3ee20e533f63b904a6ebc8079510e1d6513405a","observation_id":"0c0e9983-3ac0-47a6-9489-447a8100efc2","resolution":{"observed_at":"2026-08-04T12:55:49.681445Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.07221","last_updated":"2023-05-05T04:36:00Z","snapshot_observed_at":"2026-08-05T15:01:36.007125Z","submitted_at":"2021-07-15T09:53:32Z","title":"Lemniscate ensembles with spectral singularity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.07221","snapshot_observed_at":"2026-08-04T12:55:49.693352Z","title":"Lemniscate ensembles with spectral singularity","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:49.693352Z"},"links":{"cited_paper":"/paper/2107.07221","citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:e5e8d8e13adc828dca2150889a3e673a562e67ec6c6eff517ed726e92db45577","observation_id":"2f7dbeff-f1f0-4c36-b18f-eff6f0abbdfc","resolution":{"observed_at":"2026-08-04T12:55:49.693352Z","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":"2026-08-04T12:55:49.781197Z","title":"Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:49.781197Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:a63e261d6b95a71eb54d3bc72191ce2194381b952a05b71f5f07598e6eb830d5","observation_id":"879c6503-8895-467b-b98b-c67520294c89","resolution":{"observed_at":"2026-08-04T12:55:49.781197Z","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":"2026-08-04T12:55:49.829638Z","title":"Exact and asymptotic features of the edge density profile for the one component plasma in two dimen sions","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:49.829638Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:0a21c8fe0eb2856e459f2cca61f886445d2329bdf076304b344eec6945cc3629","observation_id":"1ad907ee-3b8d-4eb4-ba7a-e9fcbc134c33","resolution":{"observed_at":"2026-08-04T12:55:49.829638Z","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":"2026-08-04T12:55:49.881678Z","title":"Finite-size dependence of the free energy in two-dimens ional critical systems","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:49.881678Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:da2700a5e5989ddb538966fc613922b3bee585128eb5d27b55e8bf97638eb504","observation_id":"662a18c1-9515-43f4-9dd8-465396277293","resolution":{"observed_at":"2026-08-04T12:55:49.881678Z","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":"2026-08-04T12:55:50.038800Z","title":"Large gap asymptotics on annuli in the random normal matr ix model","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:50.038800Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:8b8089cc1308ce6fd90213f10bb69af98a9765e36754cb674c2ff8e947bdccc8","observation_id":"dc1c3f8e-42d7-475d-aa97-5cbe5b9eb9e7","resolution":{"observed_at":"2026-08-04T12:55:50.038800Z","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":"2026-08-04T12:55:50.108090Z","title":"A vector equilibrium problem for symmetrically located point charges on a sphere","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:50.108090Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:87fb54ccfb94e966eda02a3e986f102281bf8927fb78ab64517b4b4f10af3b05","observation_id":"d31547c1-3bce-442f-9ac9-37437aa9bd01","resolution":{"observed_at":"2026-08-04T12:55:50.108090Z","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":"2026-08-04T12:55:50.157377Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:50.157377Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:0cb448137afa2878281132a9592a1b41a6a655d1c5020304518870d49fe13f4a","observation_id":"1d730205-9a69-4d56-b137-b147566fba21","resolution":{"observed_at":"2026-08-04T12:55:50.157377Z","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":"2026-08-04T12:55:50.180470Z","title":"J., AND BYUN, S.-S","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:50.180470Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:367d12d827e14846a6d19bda04346f2c1168770add0dfcd986302f04a62ff533","observation_id":"20b34f7f-99b7-4761-a263-cd1ee463f646","resolution":{"observed_at":"2026-08-04T12:55:50.180470Z","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":"2026-08-04T12:55:50.215679Z","title":"Selected topics on quadrature domains","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:50.215679Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:86dd6df3b519de41f59f7c247e50564058028335b216f18c855767d6eccab2da","observation_id":"e679f0ca-5805-48ef-8b73-0c0e96f62273","resolution":{"observed_at":"2026-08-04T12:55:50.215679Z","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":"2026-08-04T12:55:50.228150Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:50.228150Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:95111b7122a39ffb59cb888442652a85b35553e8262491c043adba44e70e3563","observation_id":"41ecfc2d-87c4-4b91-92df-44f7c041d3b8","resolution":{"observed_at":"2026-08-04T12:55:50.228150Z","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":"2026-08-04T12:55:50.304755Z","title":"Coulomb systems seen as critical systems: Finite-size effects in two dimensions","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:50.304755Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:f33c93175c06fe00d46a839fdeb4ffb356581eb29c3915f469591e79f6fa3ff8","observation_id":"61585eb0-8425-49be-9a88-65242acf957b","resolution":{"observed_at":"2026-08-04T12:55:50.304755Z","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":"2026-08-04T12:55:50.400712Z","title":"Universal free energy correction for the two-dimension al one- component plasma","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:50.400712Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:bb9d963dbb81c0b8439af59be7acd0a8bf2245031e2511b0607e58d2a5b9dfdc","observation_id":"99b8cf79-b88a-4ca5-a4ee-38ea208abd67","resolution":{"observed_at":"2026-08-04T12:55:50.400712Z","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":"2026-08-04T12:55:50.419619Z","title":"Geometry and large N limits in Laughlin states","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:50.419619Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:68b553d9015f923c7d9daf20dbab6784a20806a302cfc2dab443bcc5d6dc5f26","observation_id":"f0515f91-ce76-41e1-be94-1fc575401716","resolution":{"observed_at":"2026-08-04T12:55:50.419619Z","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":"2026-08-04T12:55:50.458169Z","title":"Quantum Hall effect and Quillen metric","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:50.458169Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:3088a2f0fdefd228dd87fbc70e0ebe9b6c636e5c039b3a5c188159dea02ce821","observation_id":"929bc774-7863-4fa9-b5ed-c9bb99af111b","resolution":{"observed_at":"2026-08-04T12:55:50.458169Z","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":"2026-08-04T12:55:50.522085Z","title":"The law of large numbers for the maximum of the characteristic polynomial of the Ginibre ensemble","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:50.522085Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:a74141769df2864811f6f56b43f441666f3ba8cf8bdb1fb26361f87519260d4d","observation_id":"e6bb40c0-d1d1-49dc-9304-7c75f2beaf29","resolution":{"observed_at":"2026-08-04T12:55:50.522085Z","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":"2026-08-04T12:55:50.603075Z","title":"On quantum statistics transmutation via magnetic flux attachment","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:50.603075Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:f7542ccc1fd9834016f8f54b6430eb550a9ce5b775075b7e1d1aa5e365811ccf","observation_id":"cc30431c-f5c3-48eb-83e3-0b4c162d12dc","resolution":{"observed_at":"2026-08-04T12:55:50.603075Z","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":"2026-08-04T12:55:50.644875Z","title":"Large deviation principle for empirical fields of Log and Riesz gases","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:50.644875Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:6c3e25fa0d1330be70a8c530330b7531ef4fd50130c2dace94479e85076c647f","observation_id":"5bc484f1-c165-4d8d-ad5c-17ef75d4f079","resolution":{"observed_at":"2026-08-04T12:55:50.644875Z","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":"2026-08-04T12:55:50.689293Z","title":"Fluctuations of two-dimensional Coulomb gases","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:50.689293Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:897984d20dd8111da29e8964311e46c1a44a7ae9de09a92bcc74db48e2a28767","observation_id":"34be5264-557e-481a-869f-9b658a2230a3","resolution":{"observed_at":"2026-08-04T12:55:50.689293Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2202.09240","last_updated":"2022-04-30T14:46:54Z","snapshot_observed_at":"2026-08-04T06:07:49.467414Z","submitted_at":"2022-02-18T15:06:52Z","title":"Coulomb and Riesz gases: The known and the unknown","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.09240","snapshot_observed_at":"2026-08-04T12:55:50.755830Z","title":"Coulomb and Riesz gases: The known and the unknown","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:50.755830Z"},"links":{"cited_paper":"/paper/2202.09240","citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:e38dd71dd5fc8940617dbec909529b07938e1896b675e6f8c0972b2ab59767ba","observation_id":"8a063ceb-b1d8-495a-8709-8c4922d4f51f","resolution":{"observed_at":"2026-08-04T12:55:50.755830Z","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":"2026-08-04T12:55:50.828393Z","title":"H., AND LOSS, M","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:50.828393Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:d77ff2b1c653314b887c3f40e698dabc0b35a3b1848004434ffb321c0183bd5e","observation_id":"d159f9c0-d75d-4b12-a190-fb2e64a625a6","resolution":{"observed_at":"2026-08-04T12:55:50.828393Z","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":"2026-08-04T12:55:50.891965Z","title":"H., R OUGERIE , N., AND YNGVASON, J","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:50.891965Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:2fc82426e10ec5aaa717c042633cc3da6bf19a9c1ff21d353cc0bb09fc6cf9cd","observation_id":"faee3b96-071b-4ade-be59-58194fbb5ade","resolution":{"observed_at":"2026-08-04T12:55:50.891965Z","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":"2026-08-04T12:55:50.934795Z","title":"P., AND SINGER, I","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:50.934795Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:58755ef1bc913d94e0a1cab2b795dcdaced82fbab2d60ddfd83111fb850f4ec4","observation_id":"79d75b5b-81fb-45dc-9f02-522f68a236e5","resolution":{"observed_at":"2026-08-04T12:55:50.934795Z","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":"2026-08-04T12:55:51.024748Z","title":"The classical Jellium and the Laughlin phase","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:51.024748Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:0e9ef910c8fa9e6cc8d4c94d0c0c5adaa2c4e03b8f4650cd78208d72038d416d","observation_id":"d15e28ba-1855-4f03-aa0e-1b31edeb3054","resolution":{"observed_at":"2026-08-04T12:55:51.024748Z","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":"2026-08-04T12:55:51.070118Z","title":"The Laughlin liquid in an external potential","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:51.070118Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:87527a20c1679d15f52021b9f9bc3ac86561eda8e1fb1f25f96adac284607f8e","observation_id":"96ee850b-cf0f-4bf3-941f-ba1dfdf146ae","resolution":{"observed_at":"2026-08-04T12:55:51.070118Z","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":"2026-08-04T12:55:51.186966Z","title":"B., AND TOTIK, V","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:51.186966Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:17aee497dd565ae1e696c94cb83c0e474afc1098281f879f2988e2ba4b122de1","observation_id":"8de00995-3d07-4289-a446-9f4803d3be0c","resolution":{"observed_at":"2026-08-04T12:55:51.186966Z","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":"2026-08-04T12:55:51.234743Z","title":"Quadrature domains","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:51.234743Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:e46253a7470dd71bdb1470a3bd779d48b9f324aa9bbd4288fefb661fd27aba10","observation_id":"11b4d1fd-9e34-4d93-a569-aa14eb221da2","resolution":{"observed_at":"2026-08-04T12:55:51.234743Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"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":"2026-08-04T12:55:51.294748Z","title":"Lectures on Coulomb and Riesz gases","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:51.294748Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:2a2fe5e1b7e37470bf35a7f723dc03ef69cf48d4c6295c7c8223e3395a230d53","observation_id":"91502829-2888-4a30-9a59-3e213f881e18","resolution":{"observed_at":"2026-08-04T12:55:51.294748Z","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":"2026-08-04T12:55:51.352526Z","title":"Geometric zabrodin-wiegmann conjecture for integer Qu antum Hall states","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:51.352526Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:406f9ce3086f365b450c98009d4f1241efc721243a6db051f22b65bdab08957a","observation_id":"4987aa0c-7d25-4060-9e3b-c8e758679ce0","resolution":{"observed_at":"2026-08-04T12:55:51.352526Z","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":"2026-08-04T12:55:51.399773Z","title":"Large- /u1D45Bexpansion for the 2D Dyson gas","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:51.399773Z"},"links":{"citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:363739f57b22a4988adf5a5bffc876263920404273d080eede1315ee62278451","observation_id":"340f3fcf-5acd-43dd-a2e3-dcc0abbf299a","resolution":{"observed_at":"2026-08-04T12:55:51.399773Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","latest_version":4,"primary_category":"math-ph","snapshot_observed_at":"2026-08-08T06:10:43.603016Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes"},"reference_resolution":{"displayed":45,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":45,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":45},"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 45 of 45 outbound references and 1 inbound Pith citation observation for arXiv:2510.01745."}