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Paper Citation Record · LEDGER

Finite size corrections in the bulk for circular $\beta$ ensembles

As of 21 August 2026, this Paper Citation Record lists 78 of 78 outbound references and 3 inbound Pith citation observations for arXiv:2505.09865.

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

pith.paper-citation-record.v1
2505.09865 v2

Coverage vector

measured 78 of 78 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:37:22.359724Z

measured 81 of 81 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:43:20.203586Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T23:55:48.005156Z

Reference resolution

78 of 78 outbound references displayed

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External citation measurements

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Outbound references

Observation eb2e766f-2ca9-4887-99be-e1a5cf313e94 · outbound

This paper cites Abramowitz and I.A.

Finite size corrections in the bulk for circular $\beta$ ensembles Abramowitz and I.A

Reference 1

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 6487e7f9-e643-4af3-9002-b5d2b6e777cd · outbound

This paper cites Aomoto,Jacobi polynomials associated with Selberg’s integral, SIAM J.

Finite size corrections in the bulk for circular $\beta$ ensembles Aomoto,Jacobi polynomials associated with Selberg’s integral, SIAM J

Reference 2

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 9d85c4be-f7f9-49a3-a0fa-15172f950fb3 · outbound

This paper cites Baik and R.

Finite size corrections in the bulk for circular $\beta$ ensembles Baik and R

Reference 3

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Observation 2d32df41-b4bc-41b6-b7bb-fb7b82232e2e · outbound

This paper cites Bogomolny, O.

Finite size corrections in the bulk for circular $\beta$ ensembles Bogomolny, O

Reference 4

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation ff6a4927-4f95-4d29-9d9a-f17a2b29d6ec · outbound

This paper cites Bohigas and M.P.

Finite size corrections in the bulk for circular $\beta$ ensembles Bohigas and M.P

Reference 5

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 4953e0ce-fb50-49d4-9b98-8ce64a901b45 · outbound

This paper cites Bornemann,On the numerical evaluation of Fredholm determinants, Math.

Finite size corrections in the bulk for circular $\beta$ ensembles Bornemann,On the numerical evaluation of Fredholm determinants, Math

Reference 6

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 80dd235e-dd3a-47c4-9628-1e78962daf6f · outbound

This paper cites Bornemann, On the numerical evaluation of distributions in random matrix theory: a review, Markov Processes Relat.

Finite size corrections in the bulk for circular $\beta$ ensembles Bornemann, On the numerical evaluation of distributions in random matrix theory: a review, Markov Processes Relat

Reference 7

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no resolver link, observed 2026-08-15T21:37:21.990513Z

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source=pdf_text observed=2026-08-15T21:37:21.990513Z digest=sha256:e38ecf2559eaaff1d2e87b17aa9d15a82949a6f206b0a36c50d2bcc7d83ebae7

Observation 981abc6e-cbe4-46c4-a4c1-354478d5d667 · outbound

This paper cites Bornemann,A note on the expansion of the smallest eigenvalue distribution of the LUE at the hard edge, Ann.

Finite size corrections in the bulk for circular $\beta$ ensembles Bornemann,A note on the expansion of the smallest eigenvalue distribution of the LUE at the hard edge, Ann

Reference 8

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Observation a65c60aa-c058-47f2-bc7e-190bfce8b367 · outbound

This paper cites Bornemann,Asymptotic expansions relating to the lengths of longest monotone subsequences of involutions, Experimental Math.

Finite size corrections in the bulk for circular $\beta$ ensembles Bornemann,Asymptotic expansions relating to the lengths of longest monotone subsequences of involutions, Experimental Math

Reference 9

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Observation 7c3ee092-724c-481f-aae2-64cd9de4a470 · outbound

This paper cites Bornemann,Asymptotic expansions relating to the distribution of the length of longest increasing subsequences, Forum Math.

Finite size corrections in the bulk for circular $\beta$ ensembles Bornemann,Asymptotic expansions relating to the distribution of the length of longest increasing subsequences, Forum Math

Reference 10

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Observation 1da5bbf8-26c1-4d34-b530-efac2bebcc14 · outbound

This paper cites Asymptotic Expansions of the Limit Laws of Gaussian and Laguerre (Wishart) Ensembles at the Soft Edge.

Finite size corrections in the bulk for circular $\beta$ ensembles Asymptotic Expansions of the Limit Laws of Gaussian and Laguerre (Wishart) Ensembles at the Soft Edge

Reference 11

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Observation 5e331e47-046e-45ae-8a3b-250e4e22a952 · outbound

This paper cites Bornemann,Asymptotic expansions of Gaussian and Laguerre ensembles at the soft edge II: level densities, arXiv:2503.12644.

Finite size corrections in the bulk for circular $\beta$ ensembles Bornemann,Asymptotic expansions of Gaussian and Laguerre ensembles at the soft edge II: level densities, arXiv:2503.12644

Reference 12

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Observation 7f0f8b94-4017-4801-aa04-e43f2c44883c · outbound

This paper cites Bornemann,Asymptotic expansions of Gaussian and Laguerre ensembles at the soft edge III: Generating functions, Manuscript in preparation (2025).

Finite size corrections in the bulk for circular $\beta$ ensembles Bornemann,Asymptotic expansions of Gaussian and Laguerre ensembles at the soft edge III: Generating functions, Manuscript in preparation (2025)

Reference 13

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Observation 4227a7e2-eeec-42d6-8628-b7e41881a111 · outbound

This paper cites Bornemann, P.J.

Finite size corrections in the bulk for circular $\beta$ ensembles Bornemann, P.J

Reference 14

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Observation 4e8310b3-1128-4239-a076-0e0e3bf23069 · outbound

This paper cites Borodin and P.J.

Finite size corrections in the bulk for circular $\beta$ ensembles Borodin and P.J

Reference 15

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Observation 44586d91-fb93-4e1e-bb84-fdb20ed4bbe9 · outbound

This paper cites Borot, A.

Finite size corrections in the bulk for circular $\beta$ ensembles Borot, A

Reference 16

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation ca40c39c-a3a1-47d2-a5e3-122ab42073c2 · outbound

This paper cites Brini, M.

Finite size corrections in the bulk for circular $\beta$ ensembles Brini, M

Reference 17

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Observation ccfb8d3b-f336-4a49-8863-95fba07c3ff8 · outbound

This paper cites Byun and Y.-W.

Finite size corrections in the bulk for circular $\beta$ ensembles Byun and Y.-W

Reference 18

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Observation 4d4afe65-5f77-4734-bad2-af3dc4dc39af · outbound

This paper cites Constantine,Some noncentral distribution problems in multivariate analysis, Ann.

Finite size corrections in the bulk for circular $\beta$ ensembles Constantine,Some noncentral distribution problems in multivariate analysis, Ann

Reference 19

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 447f2c77-6496-4469-a2b4-9b125f1d5443 · outbound

This paper cites Diaconis and P.J.

Finite size corrections in the bulk for circular $\beta$ ensembles Diaconis and P.J

Reference 20

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 1b16b826-6b04-4373-a6e8-c0440aa4b86b · outbound

This paper cites Dumitriu and A.

Finite size corrections in the bulk for circular $\beta$ ensembles Dumitriu and A

Reference 21

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Observation 42d58438-e6e9-44b7-8aaa-22700a59d8f1 · outbound

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

Finite size corrections in the bulk for circular $\beta$ ensembles Dyson,Statistical theory of energy levels of complex systems I, J

Reference 22

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Observation 9da99c87-9bdb-447d-b4cf-71172c3437cf · outbound

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

Finite size corrections in the bulk for circular $\beta$ ensembles Dyson,Statistical theory of energy levels of complex systems III, J

Reference 23

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Observation d6039f3f-d309-4b75-8b97-872c72473731 · outbound

This paper cites Edelman, A.

Finite size corrections in the bulk for circular $\beta$ ensembles Edelman, A

Reference 24

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Observation 988ba0ab-7b52-4b09-8816-934ce236eef4 · outbound

This paper cites Feng and D.

Finite size corrections in the bulk for circular $\beta$ ensembles Feng and D

Reference 25

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raw_fallback, observed 2026-08-15T21:37:23.480611Z

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Observation 3db4b834-1020-45f8-9fb2-ba39749cdd29 · outbound

This paper cites Forrester,Selberg correlation integrals and the1/r2 quantum many body system, Nucl.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester,Selberg correlation integrals and the1/r2 quantum many body system, Nucl

Reference 26

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raw_fallback, observed 2026-08-15T21:37:23.465334Z

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Observation 75d31c2b-948a-4e6e-a1dd-37b51e24b80b · outbound

This paper cites Forrester,The spectrum edge of random matrix ensembles, Nucl.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester,The spectrum edge of random matrix ensembles, Nucl

Reference 27

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source=pdf_text observed=2026-08-15T21:37:22.088084Z digest=sha256:93066491b608a0e24ce8a78486aaf934853b7318e3fb40f7b8975ba9a2c9bb2e

Observation f6c97f9a-2441-4b24-8b0f-5312b47e7ce6 · outbound

This paper cites Forrester,Addendum to Selberg correlation integrals and the1/r2 quantum many body system, Nucl.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester,Addendum to Selberg correlation integrals and the1/r2 quantum many body system, Nucl

Reference 28

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raw_fallback, observed 2026-08-15T21:37:23.440656Z

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Observation 030d1b7e-7b27-4a35-95f0-35808a9350b3 · outbound

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

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester,Log-gases and random matrices, Princeton University Press, Princeton, NJ, 2010

Reference 29

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source=pdf_text observed=2026-08-15T21:37:22.099118Z digest=sha256:fdd58e5f03f27276b0f1790211f9b10cd03dfa291e7c86c20b7b20ca5ed34d82

Observation 8f1988bf-a4c6-4fab-a579-c4d19d4c858c · outbound

This paper cites Forrester,Differential identities for the structure function of some random matrix ensembles, J.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester,Differential identities for the structure function of some random matrix ensembles, J

Reference 30

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raw_fallback, observed 2026-08-15T21:37:23.412668Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 5de2a794-d024-455f-a0e3-3b37009e84c3 · outbound

This paper cites an unresolved cited work.

Finite size corrections in the bulk for circular $\beta$ ensembles Unresolved cited work

Reference 31

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Observation 819f34db-1305-45c4-a899-8b65eb5fbb1a · outbound

This paper cites Ensemble inter-relations in random matrix theory.

Finite size corrections in the bulk for circular $\beta$ ensembles Ensemble inter-relations in random matrix theory

Reference 32

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local_arxiv, observed 2026-08-15T21:37:22.598774Z

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Observation 0ce7ca42-22ca-4783-984f-d91772484a2e · outbound

This paper cites Dualities in random matrix theory.

Finite size corrections in the bulk for circular $\beta$ ensembles Dualities in random matrix theory

Reference 33

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no resolver link, observed 2026-08-15T21:37:22.118874Z

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Observation 97e7a68b-332f-4656-b181-cd4c4918ecd8 · outbound

This paper cites Forrester, S.-H.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester, S.-H

Reference 34

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raw_fallback, observed 2026-08-15T21:37:23.378163Z

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Observation e39cc72d-380a-446f-b9e7-69717906d017 · outbound

This paper cites Forrester and A.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester and A

Reference 35

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raw_fallback, observed 2026-08-15T21:37:23.362850Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation e7ed935e-f503-443a-bc8e-bea5087abc87 · outbound

This paper cites Forrester and A.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester and A

Reference 36

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unresolved
no resolver link, observed 2026-08-15T21:37:22.133764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:37:22.133764Z digest=sha256:0c3df8e006f819552f941946dff2f62fbf9996f652110378b8934c2b2010f6cf

Observation 47de25bd-8782-49e2-94a0-b3223d482064 · outbound

This paper cites Forrester, T.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester, T

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.337740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.138504Z digest=sha256:e4a1be8bb0d07e16344c71cc91ad43e71d097a5aa19aa510a06506d340c7d9a1

Observation 9c3aed3c-1a0b-4ba4-84f2-d73e28fe26af · outbound

This paper cites Forrester, J.H.H.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester, J.H.H

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-15T21:37:22.142940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:37:22.142940Z digest=sha256:4341abfe2597ecad85ae7a40442b8b3328b82b5489059b3abb5752f0e8fffcf7

Observation cf7a2e0f-8a2c-40cc-92a9-f35c68589484 · outbound

This paper cites Forrester and B.-J.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester and B.-J

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.312338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.147393Z digest=sha256:a7477bf07bb7faf6baeae6c20367da48e1461eb1290479a99eb57a558b6af2ba

Observation 7a8336d0-358a-46c5-9c9c-fb04b23c0a3a · outbound

This paper cites Forrester and A.K.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester and A.K

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.297316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.151862Z digest=sha256:0b075144351c6680f186ac8087e9b94bf0e562c3ab9773e8da17721d26093e2a

Observation 473afe10-7137-41a3-a636-7981be79e158 · outbound

This paper cites Forrester and A.K.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester and A.K

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.282272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.156138Z digest=sha256:4fac91938f193237e2734bbeb285a6b4259316caed0034689b9001ba07f20c79

Observation 2857a77e-9946-4c3e-b8c7-9a00b75dc3a8 · outbound

This paper cites Forrester and A.K.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester and A.K

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.265464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.160723Z digest=sha256:6f90d0e6260866916b43820a68a75f7f4788a7fc79fe4b72f431781eb196ecef

Observation 74efda19-4ca2-4a36-b584-2d84539ce82d · outbound

This paper cites Forrester and N.S.

Finite size corrections in the bulk for circular $\beta$ ensembles Forrester and N.S

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.247974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.165122Z digest=sha256:97e7ce92524fc2125bf94483ec6c357ceba58ceae59c68778cc23092e716cfa8

Observation 0f2aab0f-fe25-424c-8493-7a4ffdd66450 · outbound

This paper cites Garoni, P.J.

Finite size corrections in the bulk for circular $\beta$ ensembles Garoni, P.J

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.232749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.170373Z digest=sha256:4193160ea9d34d495dd33b10744cc49bdd10778d99899587cbd6e730b68b7e7b

Observation 6dcf430e-21dc-4076-ad0b-6249453ceb4f · outbound

This paper cites Götze and A.

Finite size corrections in the bulk for circular $\beta$ ensembles Götze and A

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.217436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.175043Z digest=sha256:0d3718a5e21bea0901fd6f2e52e2173a98431ef2026a9c0629abea14c843ca4e

Observation d6bbc381-25b5-4356-aec6-eea5bfd203fc · outbound

This paper cites Haake,Quantum signatures of chaos, 2nd ed., Springer, Berlin, 2000.

Finite size corrections in the bulk for circular $\beta$ ensembles Haake,Quantum signatures of chaos, 2nd ed., Springer, Berlin, 2000

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.202080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.180454Z digest=sha256:519d6aebcfd47208e94b4bd783d69b10e8f710b13d4be2fe127bfee2424727f6

Observation 46c80e79-0adf-4e10-bc64-f56f0d9428d2 · outbound

This paper cites Haake, M.

Finite size corrections in the bulk for circular $\beta$ ensembles Haake, M

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.186159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.197392Z digest=sha256:d32f4225a8f37e7499120e856ab2a9e72dee0328fd585cdfb13e729aa818348c

Observation e4dd382d-9a43-43a1-bf78-66d23916dc40 · outbound

This paper cites Hachem, A.

Finite size corrections in the bulk for circular $\beta$ ensembles Hachem, A

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-15T21:37:22.201981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:37:22.201981Z digest=sha256:e68345399efb5a28bad7cba5bcd35cffd1af81ae43fde5fbfe9da3cdaec5062e

Observation 2fa916ec-f3d6-4e23-b46a-531a93392fba · outbound

This paper cites Herz,Bessel functions of matrix argument, Ann.

Finite size corrections in the bulk for circular $\beta$ ensembles Herz,Bessel functions of matrix argument, Ann

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.161054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.206499Z digest=sha256:fdc1acba98002c1301328686264252506a356d2692f1c86449aab392cdcdf7dd

Observation 870a0ec7-5dac-441c-a755-531da63bb406 · outbound

This paper cites Jimbo, T.

Finite size corrections in the bulk for circular $\beta$ ensembles Jimbo, T

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.146313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.211536Z digest=sha256:aca848d45a9492c4bff50c58214c99b5cc659ac1de2addd57cba0124552d09dc

Observation c49044a4-2f81-4751-8e00-88b5d5f9a377 · outbound

This paper cites Johnstone and Z.

Finite size corrections in the bulk for circular $\beta$ ensembles Johnstone and Z

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.131957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.216085Z digest=sha256:33a9d327f23b8ad718ed3a7932f895e14239d3733c0997d0eb1b1b47538a484d

Observation ee82c2bd-6894-47d3-9d7e-cffccf90a5d8 · outbound

This paper cites Kaneko,Selberg integrals and hypergeometric functions associated with Jack polynomials, SIAM J.

Finite size corrections in the bulk for circular $\beta$ ensembles Kaneko,Selberg integrals and hypergeometric functions associated with Jack polynomials, SIAM J

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.115695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.221103Z digest=sha256:ebb923d4a3c17a05f0a36815ff549733765a03cf2f05d0917e660c39e3781029

Observation cd55b52c-dbfd-4315-b2b3-34eab0a499b1 · outbound

This paper cites Keating and N.C.

Finite size corrections in the bulk for circular $\beta$ ensembles Keating and N.C

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.098926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.226678Z digest=sha256:2ab39548f113263d8d8e69810aa325763847a7d8101b539a76c831e3934f3bda

Observation 973e2f4b-c19d-4478-acd0-6fbdb7007297 · outbound

This paper cites Killip and I.

Finite size corrections in the bulk for circular $\beta$ ensembles Killip and I

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.083613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.232273Z digest=sha256:4608718d53dcbbb4796cc83ba55c4c9f326b648df3306b06141368c48ba5110d

Observation a0f0c53e-90cd-4095-8859-df3f8774e701 · outbound

This paper cites Kuramoto and Y.

Finite size corrections in the bulk for circular $\beta$ ensembles Kuramoto and Y

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.067986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.236922Z digest=sha256:3880ee12976ed2dc15a1958c94392e28d62b808f6d5c2bce3e3e8990b5c627fb

Observation dd7b631b-b200-45b5-8c3c-2a6b9d205b9c · outbound

This paper cites Calogero-Sutherland-type quantum systems, generalized hypergeometric functions and superintegrability for integral chains.

Finite size corrections in the bulk for circular $\beta$ ensembles Calogero-Sutherland-type quantum systems, generalized hypergeometric functions and superintegrability for integral chains

Reference 56

Resolution
verified exact
local_arxiv, observed 2026-08-15T21:37:22.560787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.241508Z digest=sha256:bffae4d585ff2501cb09586f80931d25e1d94c47bf228e257f7d939b7c5fbb9e

Observation 20a45d0d-2fab-4681-acfd-a967f604de53 · outbound

This paper cites Ma,Accuracy of the Tracy-Widom limits for the extreme eigenvalues in white Wishart matrices, Bernoulli18(2012), 322–359.

Finite size corrections in the bulk for circular $\beta$ ensembles Ma,Accuracy of the Tracy-Widom limits for the extreme eigenvalues in white Wishart matrices, Bernoulli18(2012), 322–359

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.053023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.246737Z digest=sha256:852e6edeedc823e75b4ab640094cc7bf5c3d7932a8243a9cd86708b4706bf350

Observation 46695c68-6cb0-417b-8dfe-736427c87b69 · outbound

This paper cites Macdonald,Hall polynomials and symmetric functions, 2nd ed., Oxford University Press, Oxford, 1995.

Finite size corrections in the bulk for circular $\beta$ ensembles Macdonald,Hall polynomials and symmetric functions, 2nd ed., Oxford University Press, Oxford, 1995

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.037426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.251853Z digest=sha256:390ff9c518dd856c4767bd7f9a9473487578640330dee3299bebc5d850c97741

Observation 48566b79-df64-4c26-9879-76391603bae6 · outbound

This paper cites Mehta,Random matrices, 3rd ed., Elsevier, San Diego, 2004.

Finite size corrections in the bulk for circular $\beta$ ensembles Mehta,Random matrices, 3rd ed., Elsevier, San Diego, 2004

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.022207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.256457Z digest=sha256:fb77adcefb8a9234e5b2e7e78f01797318700ef231c813968f47084314898420

Observation 7ec3d945-6f0e-4adc-a206-fe3892ad0fe8 · outbound

This paper cites Migdal,Loop equations and1/Nexpansions, Phys.

Finite size corrections in the bulk for circular $\beta$ ensembles Migdal,Loop equations and1/Nexpansions, Phys

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:23.006205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.261240Z digest=sha256:423ad5b045c01530a8e41d3f837873a9a1d205a5a899ceeb98e2bfd120739e59

Observation 8b524baa-be46-4e0f-bd30-63dc40cfe810 · outbound

This paper cites Mironov, A.Yu.

Finite size corrections in the bulk for circular $\beta$ ensembles Mironov, A.Yu

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.987943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.265746Z digest=sha256:0ef7ea23abd69262771f0cd0f7cc4b5aae110fcf35bdb6d762f96c11a989d59e

Observation c947704c-7849-4af0-9f3b-96924167ecdc · outbound

This paper cites Moreno-Pozas, D.

Finite size corrections in the bulk for circular $\beta$ ensembles Moreno-Pozas, D

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.972721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.270286Z digest=sha256:e49d14604f4aae5a02329686213e7491bd4a3af7c7b59e26071e6a01a6be58b9

Observation 3c6343a4-a846-4cfd-96a4-61a8e435181d · outbound

This paper cites Muirhead,Aspects of multivariate statistical theory, Wiley, New York, 1982.

Finite size corrections in the bulk for circular $\beta$ ensembles Muirhead,Aspects of multivariate statistical theory, Wiley, New York, 1982

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.957487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.275056Z digest=sha256:d40a559ae97097e5474a52608b010ab04e5f9c7ec0a93054acbea817ac3418cf

Observation baf2c69a-43a0-4cc5-9976-fd54c3b4d171 · outbound

This paper cites Nakano,On the complex WKB analysis for products of the Airy functions, RIMS Kokyuroku 1083(1999), 169–180.

Finite size corrections in the bulk for circular $\beta$ ensembles Nakano,On the complex WKB analysis for products of the Airy functions, RIMS Kokyuroku 1083(1999), 169–180

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.942556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.280540Z digest=sha256:2ec57b67f75565d8a54ed7622a420e3d2c39b99af8f85f7ebb6ebd444df7f4a7

Observation dea29c21-1de3-4a08-a9bc-3e59c85bb86e · outbound

This paper cites Hypergeometric Functions of Random Matrices and Quasimodular Forms.

Finite size corrections in the bulk for circular $\beta$ ensembles Hypergeometric Functions of Random Matrices and Quasimodular Forms

Reference 65

Resolution
verified exact
local_arxiv, observed 2026-08-15T21:37:22.536178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.285613Z digest=sha256:56436bec91a41c60abc07a98fe7f87058ffadedb6724f46ffc1acd95783febca

Observation 19b68f49-2be6-4696-b850-f7fed203d198 · outbound

This paper cites Perret and G.

Finite size corrections in the bulk for circular $\beta$ ensembles Perret and G

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.927106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.291263Z digest=sha256:11d1861b6eb2a56528c63301477a61d7dd8a42fc7fd02d1b2bf334a46c4838da

Observation d21eccd1-6bc5-4013-b733-75b3872df0d5 · outbound

This paper cites Rahman and P.J.

Finite size corrections in the bulk for circular $\beta$ ensembles Rahman and P.J

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-15T21:37:22.296535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:37:22.296535Z digest=sha256:410f245c580acd7ca4fc64ca0e9b758c06242a52e2ef10907d5fa49375817d80

Observation 28b535ef-8293-4a7b-b5a3-b1ef4ba9575a · outbound

This paper cites Riser and E.

Finite size corrections in the bulk for circular $\beta$ ensembles Riser and E

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.900549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.303857Z digest=sha256:dc00648f4b671c1d90872889d0861a13ca4415aa43933f00b4ac4e29d520be88

Observation 4c7291dd-33dd-4108-b42f-4bcffd9cf336 · outbound

This paper cites Riser, V.A.

Finite size corrections in the bulk for circular $\beta$ ensembles Riser, V.A

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.884879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.311703Z digest=sha256:3d2e9613aa2cee0eb4c360bdb4a8bcec7b60eaaa6f6d8419bc1c5862cd947f27

Observation 5d552c68-86cb-4eb6-8493-f89e3af10a00 · outbound

This paper cites Tracy and H.

Finite size corrections in the bulk for circular $\beta$ ensembles Tracy and H

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.869451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.317908Z digest=sha256:87881574ff016d5c2b0aff2284ad853dee513487b2483d6482ea7a44aef60030

Observation 51b9fdba-16ad-43a0-98bd-2226c473bf31 · outbound

This paper cites Weyl,The classical groups: Their invariants and representations, Princeton University Press, Princeton, NJ, 1939.

Finite size corrections in the bulk for circular $\beta$ ensembles Weyl,The classical groups: Their invariants and representations, Princeton University Press, Princeton, NJ, 1939

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.854574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.324129Z digest=sha256:eee767c41a9f3605d05a0d7113c5866be351bcf764c4cd58b7a064e4bd25aee1

Observation c4680baf-8000-4cfa-86b0-b03f6da78273 · outbound

This paper cites an unresolved cited work.

Finite size corrections in the bulk for circular $\beta$ ensembles Unresolved cited work

Reference 72

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:37:22.838660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.329291Z digest=sha256:354f2154422792f5e25ad7d023a030745f74990a61a98d3c40a0cbe5209fa4a0

Observation 2a2f5bf6-8cc8-47f6-bc5c-979e9bb38783 · outbound

This paper cites an unresolved cited work.

Finite size corrections in the bulk for circular $\beta$ ensembles Unresolved cited work

Reference 73

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:37:22.822344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.334621Z digest=sha256:3c2bcec7c712207e01e819181e588b09ad380f33a542001e7ed238c30db4c94e

Observation 676c6d0a-dcb9-4aac-ab59-73436c2849c1 · outbound

This paper cites Winn,Extreme eigenvalues of random matrices from Jacobi ensembles, J.

Finite size corrections in the bulk for circular $\beta$ ensembles Winn,Extreme eigenvalues of random matrices from Jacobi ensembles, J

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.807113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.339749Z digest=sha256:811b42db3d30bbde733cb53e21820bf602a97cfe125bb3ab9a0b82f260a7eeba

Observation 2b221ece-4bb2-4c26-9e3b-d1e3a82f58bb · outbound

This paper cites Witte and P.J.

Finite size corrections in the bulk for circular $\beta$ ensembles Witte and P.J

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.790090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.345174Z digest=sha256:c373f0b83f31c27cb4a60608be3f823e055e24ee5405842f38fd015a04497e41

Observation 46e1d930-3f78-48f4-a48d-4ea65638ac9a · outbound

This paper cites Witte and P.J.

Finite size corrections in the bulk for circular $\beta$ ensembles Witte and P.J

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.774290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.349994Z digest=sha256:ffe4adff3545188e97792dbfb2d5d5f13c9f2c697057086489b17acf9cc4d990

Observation 25f82407-0f34-4ce2-8a83-12e9bce8afa2 · outbound

This paper cites Yan,A class of generalized hypergeometric functions in several variables, Can J.

Finite size corrections in the bulk for circular $\beta$ ensembles Yan,A class of generalized hypergeometric functions in several variables, Can J

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:37:22.758916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:37:22.355089Z digest=sha256:ac103f2913d40e1e9404c2b3ec7d463349fb056836f9b5461cb5defbf291d539

Observation 8e8afcc0-d431-4f12-a948-ce8190f187eb · outbound

This paper cites Yao and L.

Finite size corrections in the bulk for circular $\beta$ ensembles Yao and L

Reference 78

Resolution
unresolved
no resolver link, observed 2026-08-15T21:37:22.359724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:37:22.359724Z digest=sha256:2ae0f3e32f5ac711d92cac3088d507613a42745dc175a09360c122be5ec23813

Pith citing papers

Observation e2d043b5-a310-487b-97b9-91cf9f373ced · inbound

Asymptotic Expansions of Gaussian and Laguerre Ensembles at the Soft Edge III: Generating Functions cites this paper.

Asymptotic Expansions of Gaussian and Laguerre Ensembles at the Soft Edge III: Generating Functions Finite size corrections in the bulk for circular $\beta$ ensembles

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-05-21T23:55:48.006806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T23:54:46.563234Z digest=sha256:62801e1feefb00189080c07b48d1359d10d428b029a79987b429acc757bf786c

Observation 78489941-a023-424d-a8b9-c11e3d3ef6a1 · inbound

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros cites this paper.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Finite size corrections in the bulk for circular $\beta$ ensembles

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T17:43:20.203586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:43:20.203586Z digest=sha256:5de2558c109b30a74a764bf78e39e478497a535489c25ebad2f024494ca259d5

Observation ac626544-f07d-44c2-8232-34e46f0b59ef · inbound

Edge density expansions for the classical Gaussian and Laguerre ensembles cites this paper.

Edge density expansions for the classical Gaussian and Laguerre ensembles Finite size corrections in the bulk for circular $\beta$ ensembles

Reference 33

Resolution
verified exact
arxiv_id, observed 2026-05-15T01:08:25.274884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-15T01:08:21.385144Z digest=sha256:52abbbe01dde423851fda9d91b0d659f77ce5d411e4c4ff5295b251df3620e97