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Paper Citation Record · LEDGER

Moments of characteristic polynomials for classical $\beta$ ensembles

As of 11 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2502.07142.

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pith.paper-citation-record.v1
2502.07142 v2

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T13:48:56.041496Z

measured 51 of 51 standing notices

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measured 0 of 1 external citation measurements

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Reference resolution

51 of 51 outbound references displayed

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External citation measurements

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Outbound references

Observation 65609760-bcf8-4177-b7f7-28216cbdbd9b · outbound

This paper cites Ameur, N-G.

Moments of characteristic polynomials for classical $\beta$ ensembles Ameur, N-G

Reference 1

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Observation add51431-bba9-4f4b-a0f0-155e8b2bfd02 · outbound

This paper cites Baker and P.J.

Moments of characteristic polynomials for classical $\beta$ ensembles Baker and P.J

Reference 2

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Observation 0a1b1370-f8da-4e4a-8148-107548eda8db · outbound

This paper cites Baker and P.J.

Moments of characteristic polynomials for classical $\beta$ ensembles Baker and P.J

Reference 3

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Observation 23952bbf-2adf-47f8-9654-1863805bf8a6 · outbound

This paper cites Berestycki, C.

Moments of characteristic polynomials for classical $\beta$ ensembles Berestycki, C

Reference 4

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Observation ac78ffc7-e787-4845-bbb7-b03679a25755 · outbound

This paper cites Borot, A.

Moments of characteristic polynomials for classical $\beta$ ensembles Borot, A

Reference 5

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Observation ae127d98-119d-4ee0-9d31-cd6dd626a88d · outbound

This paper cites Liouville quantum gravity from random matrix dynamics.

Moments of characteristic polynomials for classical $\beta$ ensembles Liouville quantum gravity from random matrix dynamics

Reference 6

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Observation 4ebc1581-633a-4f64-9d97-7ecd772eef98 · outbound

This paper cites Benford's law and the C$\beta$E.

Moments of characteristic polynomials for classical $\beta$ ensembles Benford's law and the C$\beta$E

Reference 7

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Observation cbd0a888-7231-47c8-a0b0-1613e1adad8b · outbound

This paper cites Brézin and S.

Moments of characteristic polynomials for classical $\beta$ ensembles Brézin and S

Reference 8

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Observation 720b7b37-f35b-478e-a95c-9e97701e16e7 · outbound

This paper cites Byun,Planar equilibrium measure problem in the quadratic fields with a point charge, Comput.

Moments of characteristic polynomials for classical $\beta$ ensembles Byun,Planar equilibrium measure problem in the quadratic fields with a point charge, Comput

Reference 9

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Observation 75d97955-4b0b-44e4-8b41-50fb1ce9896e · outbound

This paper cites an unresolved cited work.

Moments of characteristic polynomials for classical $\beta$ ensembles Unresolved cited work

Reference 10

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Observation f946b2e5-a4ad-4ae1-a923-1a3d7cf5c0fb · outbound

This paper cites Byun and P.J.

Moments of characteristic polynomials for classical $\beta$ ensembles Byun and P.J

Reference 11

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Observation 17029cc2-58fd-4aae-82d7-dc71025ce4da · outbound

This paper cites Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges.

Moments of characteristic polynomials for classical $\beta$ ensembles Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges

Reference 12

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Observation f80ce8c3-d86e-4a9e-b170-f82e59feee17 · outbound

This paper cites Three topological phases of the elliptic Ginibre ensembles with a point charge.

Moments of characteristic polynomials for classical $\beta$ ensembles Three topological phases of the elliptic Ginibre ensembles with a point charge

Reference 13

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Observation dcb5572e-e987-41e3-995d-e8c036d1200a · outbound

This paper cites Charlier,Asymptotics of Hankel determinants with a one-cut regular potential and Fisher-Hartwig singularities, Int.

Moments of characteristic polynomials for classical $\beta$ ensembles Charlier,Asymptotics of Hankel determinants with a one-cut regular potential and Fisher-Hartwig singularities, Int

Reference 14

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Observation af2eff02-1970-43d3-ae80-ee8f67346d31 · outbound

This paper cites Charlier and R.

Moments of characteristic polynomials for classical $\beta$ ensembles Charlier and R

Reference 15

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Observation b9540947-8b64-40ce-b589-8020a45a916d · outbound

This paper cites Conrey and M.

Moments of characteristic polynomials for classical $\beta$ ensembles Conrey and M

Reference 16

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Observation ffbb2b51-98c0-4d23-a758-f5d73a84665a · outbound

This paper cites Deaño and N.

Moments of characteristic polynomials for classical $\beta$ ensembles Deaño and N

Reference 17

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Observation 441dc65b-b36c-4de8-9eee-3621d9a28fa6 · outbound

This paper cites Desrosiers,Duality in random matrix ensembles for allβ, Nucl.

Moments of characteristic polynomials for classical $\beta$ ensembles Desrosiers,Duality in random matrix ensembles for allβ, Nucl

Reference 18

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Observation 8174be58-69e6-434b-801b-32921f89f9a3 · outbound

This paper cites Desrosiers and P.J.

Moments of characteristic polynomials for classical $\beta$ ensembles Desrosiers and P.J

Reference 19

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Observation 371789a3-ceb5-4478-b1eb-30e103304c0b · outbound

This paper cites Desrosiers and D.-Z.

Moments of characteristic polynomials for classical $\beta$ ensembles Desrosiers and D.-Z

Reference 20

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Observation 1228180d-509b-47e6-946e-0fdff757333a · outbound

This paper cites Desrosiers and D.-Z.

Moments of characteristic polynomials for classical $\beta$ ensembles Desrosiers and D.-Z

Reference 21

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Observation 8cd2944c-394b-4d78-b282-9ea6354fbe88 · outbound

This paper cites Diaconis and P.J.

Moments of characteristic polynomials for classical $\beta$ ensembles Diaconis and P.J

Reference 22

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Observation c3848e9f-3029-4b6e-a3f4-96e04f66929f · outbound

This paper cites Diaconis and M.

Moments of characteristic polynomials for classical $\beta$ ensembles Diaconis and M

Reference 23

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Observation 6dd20816-4fbc-4ef1-a281-cca31bb19ce6 · outbound

This paper cites Dumitriu and A.

Moments of characteristic polynomials for classical $\beta$ ensembles Dumitriu and A

Reference 24

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Observation 6e7456e6-41e8-41ee-8c84-4b961f5f3842 · outbound

This paper cites Dyson,Statistical theory of energy levels of complex systems I, J.

Moments of characteristic polynomials for classical $\beta$ ensembles Dyson,Statistical theory of energy levels of complex systems I, J

Reference 25

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Observation 8ef44523-c791-4661-ac16-bd137390f62d · outbound

This paper cites Forkel and J.

Moments of characteristic polynomials for classical $\beta$ ensembles Forkel and J

Reference 26

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Observation c937d3bf-5b59-4726-816f-96305a66d76c · outbound

This paper cites Forkel,Fisher-Hartwig asymptotics and log-correlated fields in random matrix theory, Ph.D.

Moments of characteristic polynomials for classical $\beta$ ensembles Forkel,Fisher-Hartwig asymptotics and log-correlated fields in random matrix theory, Ph.D

Reference 27

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Observation 7ce39c77-fad5-4005-a402-13c17fea8dc3 · outbound

This paper cites Forrester,A constant term identity and its relationship to the log-gas and some quantum many body systems, Phys.

Moments of characteristic polynomials for classical $\beta$ ensembles Forrester,A constant term identity and its relationship to the log-gas and some quantum many body systems, Phys

Reference 28

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Observation 3ea84fc8-34ce-4a8f-95fd-a3dfb06359c8 · outbound

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

Moments of characteristic polynomials for classical $\beta$ ensembles Forrester,Log-gases and random matrices, Princeton University Press, Princeton, NJ, 2010

Reference 29

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source=pdf_text observed=2026-08-08T13:48:55.939355Z digest=sha256:4b991f84536a87da990e1d4e43b27a865881a3a76bc5a0e7c07783b9842493b9

Observation c9d99917-301c-42cb-b5e8-070a83ca8c7c · outbound

This paper cites Forrester,Spectral density asymptotics for Gaussian and Laguerreβ-ensembles in the exponen- tially small region, J.

Moments of characteristic polynomials for classical $\beta$ ensembles Forrester,Spectral density asymptotics for Gaussian and Laguerreβ-ensembles in the exponen- tially small region, J

Reference 30

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Observation 68cbe868-b41f-408f-b6eb-d50ff28bd788 · outbound

This paper cites Forrester,A review of exact results for fluctuation formulas in random matrix theory, Probab.

Moments of characteristic polynomials for classical $\beta$ ensembles Forrester,A review of exact results for fluctuation formulas in random matrix theory, Probab

Reference 31

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Observation 74f92fdc-0996-4c6c-9542-c6df0ed2a54a · outbound

This paper cites Dualities in random matrix theory.

Moments of characteristic polynomials for classical $\beta$ ensembles Dualities in random matrix theory

Reference 32

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source=pdf_text observed=2026-08-08T13:48:55.953285Z digest=sha256:9411f31b5e812de0ce8e1beeaee256cf2fa366d01dd57d1effefea3c741c39ce

Observation 339105cc-af1b-4827-9d21-97d2975363cf · outbound

This paper cites Forrester and N.E.

Moments of characteristic polynomials for classical $\beta$ ensembles Forrester and N.E

Reference 33

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Observation 4a2545b2-94f6-4034-abaf-de9c067b74ba · outbound

This paper cites Forrester, N.E.

Moments of characteristic polynomials for classical $\beta$ ensembles Forrester, N.E

Reference 34

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Observation b913e578-60d2-436c-bb24-2488da6ce447 · outbound

This paper cites Forrester, A.A.

Moments of characteristic polynomials for classical $\beta$ ensembles Forrester, A.A

Reference 35

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Observation cf89e76c-0ad5-40c4-8b9d-2471b4529da5 · outbound

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Moments of characteristic polynomials for classical $\beta$ ensembles Unresolved cited work

Reference 36

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T13:48:55.972773Z digest=sha256:4b722fea0a5113a27f6fa6ff784d6c72771ede62937e834004e427f4efc78391

Observation b629456e-d35b-4dd1-8446-c95a12d6d053 · outbound

This paper cites Garoni,On the asymptotics of some large Hankel determinants generated by Fisher-Hartwig symbols defined on the real line, J.

Moments of characteristic polynomials for classical $\beta$ ensembles Garoni,On the asymptotics of some large Hankel determinants generated by Fisher-Hartwig symbols defined on the real line, J

Reference 37

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raw_fallback, observed 2026-08-08T13:48:56.368221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T13:48:55.977324Z digest=sha256:2e57760921f52fcf212c260b9d35faec218afa9616bd17676661a05bcb32e415

Observation ef477bb5-705c-4741-ab03-e90f893262c5 · outbound

This paper cites Hardy, J.E.

Moments of characteristic polynomials for classical $\beta$ ensembles Hardy, J.E

Reference 38

Resolution
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raw_fallback, observed 2026-08-08T13:48:56.354266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T13:48:55.981950Z digest=sha256:1fd9eec3e085f0c1784b127f7f082d46be5d3eb9dc7ed35dc10147edfb859b97

Observation 7fcf02c1-75a2-4dd7-9955-b1b80e931dc3 · outbound

This paper cites Hughes, J.P.

Moments of characteristic polynomials for classical $\beta$ ensembles Hughes, J.P

Reference 39

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verified fuzzy
raw_fallback, observed 2026-08-08T13:48:56.340350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T13:48:55.986436Z digest=sha256:674a4ea26c634d2736bc8f30a99d067c38fbdd124abe414b603adc5622a02511

Observation b4385cc4-0de3-4f54-80cf-5b2125b18dd8 · outbound

This paper cites Ingham,Mean-value theorems in the theory of the Riemann zeta-function, Proc.

Moments of characteristic polynomials for classical $\beta$ ensembles Ingham,Mean-value theorems in the theory of the Riemann zeta-function, Proc

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:48:56.325922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T13:48:55.990989Z digest=sha256:74344299636da870884e820030e8f097d558331cc72731ce33d7a4f3d52126a1

Observation 4cce629d-75ad-4749-a764-f5ac574c6586 · outbound

This paper cites Johansson,On fluctuation of eigenvalues of random Hermitian matrices, Duke Math.

Moments of characteristic polynomials for classical $\beta$ ensembles Johansson,On fluctuation of eigenvalues of random Hermitian matrices, Duke Math

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:48:56.310677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T13:48:55.995476Z digest=sha256:eae7dabc7c7ccb85967e05f61eeebc9ddb3b338c6e6f0143505f11d40c2babe9

Observation fb764c45-4eae-488b-afcd-f6c1b0eb967b · outbound

This paper cites Kahane,Sur le chaos multiplicatif, Ann.

Moments of characteristic polynomials for classical $\beta$ ensembles Kahane,Sur le chaos multiplicatif, Ann

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:48:56.295014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T13:48:55.999989Z digest=sha256:eb8c1c03a9a879f878f568f368b0c18133fa83fb2419542c4d47516853d29412

Observation aee82537-acc1-4cca-b40a-b2dc203a3da5 · outbound

This paper cites Keating and N.C.

Moments of characteristic polynomials for classical $\beta$ ensembles Keating and N.C

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:48:56.280187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T13:48:56.004461Z digest=sha256:c31def5ad048a8462f9284b4c98a861deb53b121b4a5c4aad452ae87e7351a7a

Observation 9cfdabe4-aee3-47de-9033-dfa7ab6f74bb · outbound

This paper cites Kivimae,Gaussian multiplicative chaos for Gaussian orthogonal and symplectic ensembles, Electron.

Moments of characteristic polynomials for classical $\beta$ ensembles Kivimae,Gaussian multiplicative chaos for Gaussian orthogonal and symplectic ensembles, Electron

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:48:56.266261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T13:48:56.009230Z digest=sha256:5ca45e3959a22e1d66f6c56f785b1b46582e70870384559567ff12e96ec4fd8a

Observation b2be5b13-48be-47f7-9fad-1593364ad3e0 · outbound

This paper cites Krasovsky,Correlations of the characteristic polynomials in the Gaussian unitary ensemble or a singular Hankel determinant, Duke Math J.139 (2007), 581—619.

Moments of characteristic polynomials for classical $\beta$ ensembles Krasovsky,Correlations of the characteristic polynomials in the Gaussian unitary ensemble or a singular Hankel determinant, Duke Math J.139 (2007), 581—619

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:48:56.251145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T13:48:56.013920Z digest=sha256:1608a20b781a47fe49f11ac486d8fe4b09c77df14dd4ad794d8a4f6ae0878b7d

Observation ff620b1f-e6e9-451f-ae23-3d27a9e541cf · outbound

This paper cites Krasovsky,Aspects of Toeplitz determinants, Random walks, boundaries and spectra, 305–324, Progr.

Moments of characteristic polynomials for classical $\beta$ ensembles Krasovsky,Aspects of Toeplitz determinants, Random walks, boundaries and spectra, 305–324, Progr

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:48:56.234882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T13:48:56.018510Z digest=sha256:c69d978e18a6c65061c848ee6fcc983be8f822ec0e42be2e1aa9db38af399bbb

Observation 057d21b3-be3a-4d1e-b798-516deb6722bc · outbound

This paper cites Subcritical multiplicative chaos and the characteristic polynomial of the C$\beta$E.

Moments of characteristic polynomials for classical $\beta$ ensembles Subcritical multiplicative chaos and the characteristic polynomial of the C$\beta$E

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-08T13:48:56.023193Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T13:48:56.023193Z digest=sha256:41eaa207e294c43f5dc6425f98c7f2436330027dd073e16c382520e311f3f63c

Observation 3f129cde-5f32-4568-8c5a-6ee13125132f · outbound

This paper cites Nikula, E.

Moments of characteristic polynomials for classical $\beta$ ensembles Nikula, E

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:48:56.219810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T13:48:56.028175Z digest=sha256:f9433e35961fd84eceec532865316e461ba76ef78838d56f59656ccd0f5c8574

Observation d95aa242-8f1b-431c-bf5f-21e125c5e070 · outbound

This paper cites Serebryakov, N.

Moments of characteristic polynomials for classical $\beta$ ensembles Serebryakov, N

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:48:56.204685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T13:48:56.032638Z digest=sha256:624b5f6206ecc3fa5f68f76290ed0548e55800452fc06bef9f7c727e173ff726

Observation 0605a8c9-bd31-4f39-b179-75c52417cf96 · outbound

This paper cites Webb,The characteristic polynomial of a random unitary matrix and Gaussian multiplicative chaos—the L2-phase, Electron.

Moments of characteristic polynomials for classical $\beta$ ensembles Webb,The characteristic polynomial of a random unitary matrix and Gaussian multiplicative chaos—the L2-phase, Electron

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:48:56.190039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T13:48:56.037064Z digest=sha256:f8aad149cf53b0a39032a6142236f206780c292ca585de4c7cdc6ed35b8ae27e

Observation 485a84ee-aa85-4b7f-914d-64cf293c940b · outbound

This paper cites Webb and M.D.

Moments of characteristic polynomials for classical $\beta$ ensembles Webb and M.D

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:48:56.173468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T13:48:56.041496Z digest=sha256:eeedaa98820398bdccb303dc5b9a9476d34cc2991cd12bf72c50253c39fbd32d

Pith citing papers

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