Paper Citation Record · LEDGER

Smallest gaps of the two-dimensional Coulomb gas

As of 10 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 6 inbound Pith citation observations for arXiv:2507.23502.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.23502 v3

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:03:40.670620Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T00:54:43.316943Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-03T17:28:44.677593Z

Reference resolution

43 of 43 outbound references displayed

verified exact11
verified fuzzy26
unresolved6
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7d8de299-591d-41ea-8e73-c12dbc893ab1 · outbound

This paper cites Ameur, Near-boundary asymptotics for correlation kernels, J.

Smallest gaps of the two-dimensional Coulomb gas Ameur, Near-boundary asymptotics for correlation kernels, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.320802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 07e4a7cf-3729-4ecf-aabb-55b467c8280f · outbound

This paper cites Ameur, Repulsion in low temperature β-ensembles, Comm.

Smallest gaps of the two-dimensional Coulomb gas Ameur, Repulsion in low temperature β-ensembles, Comm

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.310444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c3e6fb0a-d9a0-446b-8ce8-ff6e3d9c809f · outbound

This paper cites The two-dimensional Coulomb gas: fluctuations through a spectral gap.

Smallest gaps of the two-dimensional Coulomb gas The two-dimensional Coulomb gas: fluctuations through a spectral gap

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:03:43.064971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 928ebfde-4fd9-41e6-8715-02cf4bc52250 · outbound

This paper cites Ameur and J.

Smallest gaps of the two-dimensional Coulomb gas Ameur and J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.299230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c26fb04c-a51f-42d4-9a28-db9f113f3437 · outbound

This paper cites Ameur, H.

Smallest gaps of the two-dimensional Coulomb gas Ameur, H

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.286785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 777e3f1c-d8cf-4b64-994b-c8a6fff041b4 · outbound

This paper cites Ameur, H.

Smallest gaps of the two-dimensional Coulomb gas Ameur, H

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.273437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d4aa8715-f4be-4514-b7b3-30a768b7ef53 · outbound

This paper cites Gaussian beta ensembles: the perfect freezing transition and its characterization in terms of Beurling-Landau densities.

Smallest gaps of the two-dimensional Coulomb gas Gaussian beta ensembles: the perfect freezing transition and its characterization in terms of Beurling-Landau densities

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:03:42.866037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 91bc33a4-818a-4814-af67-b51bc9533245 · outbound

This paper cites Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall.

Smallest gaps of the two-dimensional Coulomb gas Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T11:03:37.911266Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3882ec16-d7e0-4f14-a3e3-6fa4302abbcd · outbound

This paper cites Ben Arous and P.

Smallest gaps of the two-dimensional Coulomb gas Ben Arous and P

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.261037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1aa75ab1-f4ca-4c24-980a-c4654b84eb93 · outbound

This paper cites Bourgade, Extreme gaps between eigenvalues of Wigner matrices, J.

Smallest gaps of the two-dimensional Coulomb gas Bourgade, Extreme gaps between eigenvalues of Wigner matrices, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.248169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d815d966-c67b-4675-a779-1a8fdc70a4a6 · outbound

This paper cites Byun and M.

Smallest gaps of the two-dimensional Coulomb gas Byun and M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.233153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 273224d2-8c23-49f3-a457-e65b24dc5778 · outbound

This paper cites Byun and P.J.

Smallest gaps of the two-dimensional Coulomb gas Byun and P.J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.222445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 34ca3864-aff2-41b5-9d69-f9eec60caca5 · outbound

This paper cites Large gap probabilities of complex and symplectic spherical ensembles with point charges.

Smallest gaps of the two-dimensional Coulomb gas Large gap probabilities of complex and symplectic spherical ensembles with point charges

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:03:42.660979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6c3fb4d3-f935-420c-baaf-3fcb6b6cca94 · outbound

This paper cites Hole probabilities and balayage of measures for planar Coulomb gases.

Smallest gaps of the two-dimensional Coulomb gas Hole probabilities and balayage of measures for planar Coulomb gases

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:03:42.472669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a6b17be2-52de-45b4-b7fa-dd6c7ba741e3 · outbound

This paper cites Elbau and G.

Smallest gaps of the two-dimensional Coulomb gas Elbau and G

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.211589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f6e4bc9d-4a1c-4ce6-8108-bc396c09d0ad · outbound

This paper cites an unresolved cited work.

Smallest gaps of the two-dimensional Coulomb gas Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:03:44.201141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation deaca2cf-7ae4-4c3f-8eca-f20ea14646e3 · outbound

This paper cites Small gaps of GSE.

Smallest gaps of the two-dimensional Coulomb gas Small gaps of GSE

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:03:42.282884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c71dec6b-50a4-4364-b19b-773ccf51fbbd · outbound

This paper cites an unresolved cited work.

Smallest gaps of the two-dimensional Coulomb gas Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:03:44.190091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 54e0901f-5b3b-4f33-b8ce-e1cc08ea37d2 · outbound

This paper cites Feng and D.

Smallest gaps of the two-dimensional Coulomb gas Feng and D

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.176369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c789704a-d08d-4834-a102-4a0c82e6a9a3 · outbound

This paper cites Large gaps of CUE and GUE.

Smallest gaps of the two-dimensional Coulomb gas Large gaps of CUE and GUE

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T11:03:39.028368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0e0def5-c287-428d-8c17-17f1df2792e6 · outbound

This paper cites Feng and G.

Smallest gaps of the two-dimensional Coulomb gas Feng and G

Reference 21

Resolution: verified exact; raw_fallback, observed 2026-08-06T11:03:42.053985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bc9cd540-1b04-4235-8ae1-80574da3fc7c · outbound

This paper cites Forrester, Some statistical properties of the eigenvalues of complex random matrices, Phys.

Smallest gaps of the two-dimensional Coulomb gas Forrester, Some statistical properties of the eigenvalues of complex random matrices, Phys

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.165146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0a05a96b-17bd-4785-84ee-991aaa4fd147 · outbound

This paper cites Forrester, Log-gases and random matrices, Princeton University Press, Princeton, NJ, 2010.

Smallest gaps of the two-dimensional Coulomb gas Forrester, Log-gases and random matrices, Princeton University Press, Princeton, NJ, 2010

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.154545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 17d4684b-30e0-41c2-b4e8-0c50bd10bebe · outbound

This paper cites Hedenmalm, S.

Smallest gaps of the two-dimensional Coulomb gas Hedenmalm, S

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.144557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f1343223-2aef-403f-bc42-6d8ba9682fd9 · outbound

This paper cites Hedenmalm and A.

Smallest gaps of the two-dimensional Coulomb gas Hedenmalm and A

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.135065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 54250be7-48a8-4f79-92e2-c15a819e4203 · outbound

This paper cites Hedenmalm and A.

Smallest gaps of the two-dimensional Coulomb gas Hedenmalm and A

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.125135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8719fa33-8783-4eec-b9f1-ab4077579b41 · outbound

This paper cites Landon, P.

Smallest gaps of the two-dimensional Coulomb gas Landon, P

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.114424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 68010396-c579-4d4b-9d88-3f4074538875 · outbound

This paper cites Lee and R.

Smallest gaps of the two-dimensional Coulomb gas Lee and R

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.103813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b9fbfe7e-4859-4900-8ef5-4a4da094e570 · outbound

This paper cites Smallest gaps between eigenvalues of real Gaussian matrices.

Smallest gaps of the two-dimensional Coulomb gas Smallest gaps between eigenvalues of real Gaussian matrices

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:03:41.839813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c70110a9-e1d3-478a-8dd4-5232e7f4076b · outbound

This paper cites Lopatto and M.

Smallest gaps of the two-dimensional Coulomb gas Lopatto and M

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T11:03:39.813642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79541a82-3978-435c-b962-91159f88c235 · outbound

This paper cites Improved discrepancy for the planar Coulomb gas at low temperatures.

Smallest gaps of the two-dimensional Coulomb gas Improved discrepancy for the planar Coulomb gas at low temperatures

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:03:41.572096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 376cfbee-78bc-4758-b420-5e130c63faf9 · outbound

This paper cites Universality for fluctuations of counting statistics of random normal matrices.

Smallest gaps of the two-dimensional Coulomb gas Universality for fluctuations of counting statistics of random normal matrices

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:03:41.353683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8fa6f597-092a-444d-9865-9b9634516b7b · outbound

This paper cites Molag, Edge behavior of higher complex-dimensional determinantal point processes, Ann.

Smallest gaps of the two-dimensional Coulomb gas Molag, Edge behavior of higher complex-dimensional determinantal point processes, Ann

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.093408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e80275e8-ff76-4300-93cc-eea01fb9ab98 · outbound

This paper cites Olver, A.B.

Smallest gaps of the two-dimensional Coulomb gas Olver, A.B

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.083591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fe270c96-cc86-4cf6-9a3c-91076cd3a8cf · outbound

This paper cites Sakai, Regularity of a boundary having a Schwarz function, Acta Math.

Smallest gaps of the two-dimensional Coulomb gas Sakai, Regularity of a boundary having a Schwarz function, Acta Math

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.072572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0feaf33a-7cd7-4c8b-8449-d1433f215363 · outbound

This paper cites an unresolved cited work.

Smallest gaps of the two-dimensional Coulomb gas Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:03:44.062213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 37638553-c85e-46b5-a440-64eb9c0bb82b · outbound

This paper cites Soshnikov, Determinantal random point fields, Russian Math.

Smallest gaps of the two-dimensional Coulomb gas Soshnikov, Determinantal random point fields, Russian Math

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:44.050685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 45b24fd8-472a-4863-b2b0-f05301862460 · outbound

This paper cites Soshnikov, Statistics of extreme spacing in determinantal random point processes, Mosc.

Smallest gaps of the two-dimensional Coulomb gas Soshnikov, Statistics of extreme spacing in determinantal random point processes, Mosc

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:43.962147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 331a3fee-ef30-436b-bdaa-97fa0e89e18c · outbound

This paper cites Smallest Gaps Between Eigenvalues of Random Matrices With Complex Ginibre, Wishart and Universal Unitary Ensembles.

Smallest gaps of the two-dimensional Coulomb gas Smallest Gaps Between Eigenvalues of Random Matrices With Complex Ginibre, Wishart and Universal Unitary Ensembles

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:03:41.171615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b1579330-00e2-42b1-b66d-204b9df7d595 · outbound

This paper cites Thoma, Overcrowding and separation estimates for the Coulomb gas, Comm.

Smallest gaps of the two-dimensional Coulomb gas Thoma, Overcrowding and separation estimates for the Coulomb gas, Comm

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:43.760913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7b1ee6ed-5fdb-44ed-bee4-d13aa84811d6 · outbound

This paper cites Vinson, Closest spacing of eigenvalues, Ph.D.

Smallest gaps of the two-dimensional Coulomb gas Vinson, Closest spacing of eigenvalues, Ph.D

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:43.460986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation abee2b40-abfb-46a7-a4db-97faba46b8e3 · outbound

This paper cites Zhang, Quantitative gap universality for Wigner matrices, arXiv:2507.20442.

Smallest gaps of the two-dimensional Coulomb gas Zhang, Quantitative gap universality for Wigner matrices, arXiv:2507.20442

Reference 42

Resolution: verified exact; raw_fallback, observed 2026-08-06T11:03:41.006187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 41eb8226-77a6-41c6-8833-ed1b6a8e9546 · outbound

This paper cites ˙Zyczkowski and H.-J.

Smallest gaps of the two-dimensional Coulomb gas ˙Zyczkowski and H.-J

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:03:43.274141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

Observation 83e8a1b9-ca28-4144-9379-d2f6a0e35938 · inbound

Universality for fluctuations of counting statistics of random normal matrices cites this paper.

Universality for fluctuations of counting statistics of random normal matrices Smallest gaps of the two-dimensional Coulomb gas

Reference 16

Resolution: metadata mismatch; arxiv_id, observed 2026-05-19T00:41:56.221692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f73ce4f9-85f8-4fb4-b9ba-5fed6f4fdaae · inbound

A pluricomplex error-function kernel at the edge of polynomial Bergman kernels cites this paper.

A pluricomplex error-function kernel at the edge of polynomial Bergman kernels Smallest gaps of the two-dimensional Coulomb gas

Reference 24

Resolution: metadata mismatch; arxiv_id, observed 2026-05-10T22:05:49.028790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0bf43443-ccf9-4e32-ac86-6d3a7c0d5318 · inbound

A pluricomplex error-function kernel at the edge of polynomial Bergman kernels cites this paper.

A pluricomplex error-function kernel at the edge of polynomial Bergman kernels Smallest gaps of the two-dimensional Coulomb gas

Reference 24

Resolution: metadata mismatch; arxiv_id, observed 2026-05-21T09:59:58.884740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 21ca55a4-d3b7-4cff-ab78-8b3752124378 · inbound

Poisson approximation of the largest gaps between zeros of a stationary Gaussian process cites this paper.

Poisson approximation of the largest gaps between zeros of a stationary Gaussian process Smallest gaps of the two-dimensional Coulomb gas

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-05-22T04:31:03.938753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 53a1cbaa-95f0-461f-8238-9e6b5ce539cd · inbound

Free energy expansion of determinantal Coulomb gases in the quadratic fields with a point charge cites this paper.

Free energy expansion of determinantal Coulomb gases in the quadratic fields with a point charge Smallest gaps of the two-dimensional Coulomb gas

Reference 46

Resolution: metadata mismatch; arxiv_id, observed 2026-07-01T19:06:03.247991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2490178d-c5f8-4fe1-b158-9e110b126e74 · inbound

Flowing to Normality and the Fate of the Single Ring Theorem cites this paper.

Flowing to Normality and the Fate of the Single Ring Theorem Smallest gaps of the two-dimensional Coulomb gas

Reference 53

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T17:28:44.678944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.