Pith. sign in

Paper Citation Record · LEDGER

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

As of 17 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2507.10193.

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

pith.paper-citation-record.v1
2507.10193 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:43:22.375162Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

23 of 23 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 35188819-1f80-457f-933c-79ca3e86e7b3 · outbound

This paper cites an unresolved cited work.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:43:27.447948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:19.461810Z digest=sha256:46fcf8e4440f6289943517ee128c7c5be3de5a6358eb7c748d7af4df0b3935b8

Observation 9103ae66-d523-4783-8348-3a469923fed6 · outbound

This paper cites an unresolved cited work.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:43:27.259479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:19.569590Z digest=sha256:1f7d36530787c768bc261b20a0f96a134730b927856f90f3d4848a5f6146f39f

Observation 99fca9c6-fd54-4114-9225-60b1daa22033 · outbound

This paper cites Bogomolny, O.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Bogomolny, O

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:43:27.042581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:19.683636Z digest=sha256:99ad420b1ea12e420b11a7f37bf97d94e9b899f78377a3fe005c23da09310813

Observation 1c4162f1-81ce-4a52-9192-bc4586c38ab8 · outbound

This paper cites an unresolved cited work.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:43:26.903827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:19.870430Z digest=sha256:0c7e440b2505e9c33c713b7ed616d5ed76f6b5d527d2bde37654c17c0c0c567a

Observation 9be771dd-25f9-48f2-b91d-c073dccb7dbe · outbound

This paper cites Bornemann, P.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Bornemann, P

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:43:26.662502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:20.028350Z digest=sha256:fe72a7cf4e4f42c86a48527fe678ccab5d5c6a3253284df5d6774fc513e5855b

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

This paper cites Finite size corrections in the bulk for circular $\beta$ ensembles.

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=sha256:422c66b976349029e9574149fdd6d734f2d8aa7a9670d4ace0d1ab4950fb0444

Observation 0f4759a0-a041-49c9-b4f9-50c0cafde04c · outbound

This paper cites Oganesyan and D.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Oganesyan and D

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:43:26.464953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:20.359216Z digest=sha256:4a55f0e1fff9e9de4e6c6c40705ab3cb72d7b79aa68a1a397e018b1a64f78fd6

Observation 0c313d47-b022-47bb-ad6f-01bfbb3e613f · outbound

This paper cites an unresolved cited work.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:43:26.177463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:20.559297Z digest=sha256:3a3de686cefb867772e957f50b9a97b14e11bfd9eecab01ce7141bf56eab5c05

Observation e95ac4fc-50dc-412c-99b2-4f0f8d040465 · outbound

This paper cites an unresolved cited work.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:43:25.958581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:20.772929Z digest=sha256:af86b69c452d4a142da7af72a67f257ba5ed584450e5852039cc6e0169ede5a0

Observation 307e3fad-6567-402a-a1ed-026d5e0be961 · outbound

This paper cites an unresolved cited work.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:43:25.702212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:20.901509Z digest=sha256:05ee033c758d06f3dde668e939c2fcab263147bfeb3a879f10bb5764b6cdd188

Observation b234d9b6-1144-4e70-85a3-a88dc9a48524 · outbound

This paper cites an unresolved cited work.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:43:25.419301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:21.021295Z digest=sha256:981be7c5c20de274c158acf885fe9ce6fb2d1500f4dd91c5dc8b6719b34398ea

Observation 28328f31-a3ff-445d-94d1-82f8d9df9a79 · outbound

This paper cites an unresolved cited work.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:43:25.186183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:21.117328Z digest=sha256:dfabe3fd0bd2acb0468c1b017d4a84dc81f9490ea294b9389bc0de690f1494d3

Observation 0eb8be35-b03e-415e-b8e0-e12db34f37d1 · outbound

This paper cites an unresolved cited work.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:43:24.989467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:21.192878Z digest=sha256:5a5882d0ed953592cd3e5b6c73ed69372bc56508cb0b58888941051530d9c16f

Observation 9668b251-0fb1-4f2d-a47e-c2328eab1db2 · outbound

This paper cites an unresolved cited work.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:43:24.717094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:21.264349Z digest=sha256:0e6f235c5b5a0d361e6b05a8d055c19fa3e79ffc148f15f4966595335ce2bcad

Observation f9ecd902-a51e-4cf8-bc51-d50ba0df045a · outbound

This paper cites an unresolved cited work.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:43:24.501171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:21.338393Z digest=sha256:1354a1621e913a9873c0512fdcb0512678821e290f62b2d4b57c1ffa28d6b4c6

Observation 348a69c0-6580-4057-b5a7-73d038440f7e · outbound

This paper cites an unresolved cited work.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:43:24.279340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:21.409851Z digest=sha256:fe59c1bcde7aea8dd26a0d30b5145dcb5d9bbaf3ea017875f49123674239e548

Observation a8672df1-d9f5-4a2e-9caa-2d511b1d3946 · outbound

This paper cites an unresolved cited work.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:43:24.028157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:21.575442Z digest=sha256:621eec99a455185ab63054861ca1c78a53567844404f0f05a6dc1ff034f0f763

Observation 1c0d1212-c404-40fe-ade0-efdd0b57ae92 · outbound

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

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Bornemann, On the numerical evaluation of Fredholm determinants , Math

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:43:23.804083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:21.744640Z digest=sha256:09d11a78286b2c98b573accacf812cfb6a4f17b4a669cb4515b0a300b3f37f44

Observation bc37d158-8df4-404c-b23e-94a501ba2a94 · outbound

This paper cites Rudnick and P.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Rudnick and P

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:43:23.575395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:21.879814Z digest=sha256:327afb37b30f3eb3939a252fb21b9b12ae2a816bba0f9a292d96a09558365d60

Observation 144baf18-183d-4592-b95a-811644e73840 · outbound

This paper cites an unresolved cited work.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:43:23.331279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:21.989820Z digest=sha256:7d0cad029574ac9b666433c761f9ccc2c05daa33548ca973ef2e99e3cef7478b

Observation 038f5e10-f6bd-4768-a7eb-68ba0eaa6d47 · outbound

This paper cites an unresolved cited work.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:43:23.153561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:22.160358Z digest=sha256:d851cb183f146f34a142f65594536c49368748b938ed67b267e000ef4f77dc92

Observation c188e085-a963-4c0e-974c-637d5a0e636c · outbound

This paper cites an unresolved cited work.

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:43:22.952520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:22.279672Z digest=sha256:4f121f62a0797716428345a76d369ecb303f3ea5b989db446dc136533657dba9

Observation 68bd9103-09df-44a9-b9ca-bdde8f8a52dd · outbound

This paper cites (Available at: https://www.lmfdb.org/zeros/zeta/, date last accessed: July, 2024).

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros (Available at: https://www.lmfdb.org/zeros/zeta/, date last accessed: July, 2024)

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:43:22.675431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T17:43:22.375162Z digest=sha256:1372641164a60fd5d1f036c06990a6ba02f2b8854ddfd902125244b72c3fe936

Pith citing papers

No inbound Pith citation observations are available.