Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T10:57:44.051427Z
Paper Citation Record · LEDGER
Determinants of Random Unitary Pencils
As of 8 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2506.04400.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
32 of 32 outbound references displayed
- verified exact0
- verified fuzzy24
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 003b4b8b-969d-45c8-adcf-688f8b1b7620 · outbound
This paper cites an unresolved cited work.
Determinants of Random Unitary Pencils Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:57:44.648151Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d1ac22d0-816d-4866-95ce-caf935414097 · outbound
This paper cites Limiting spectral distribution of sums of unitary and orthogonal matrices.Electron.
Determinants of Random Unitary Pencils Limiting spectral distribution of sums of unitary and orthogonal matrices.Electron
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:57:43.851165Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e642d805-9aae-4389-a7cf-ea3f51151e0f · outbound
This paper cites Factoring determinants and applications to number theory.
Determinants of Random Unitary Pencils Factoring determinants and applications to number theory
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.613301Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1c77d9f6-1bec-4f32-8c81-72a0b8377209 · outbound
This paper cites Borodin and E.
Determinants of Random Unitary Pencils Borodin and E
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.594568Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1c66e400-9987-4ce4-a520-34345a31e0e7 · outbound
This paper cites Springer-Verlag, New York, 2004.
Determinants of Random Unitary Pencils Springer-Verlag, New York, 2004
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.576116Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3b92a768-5825-4c20-9ba5-6ae3b24f92c9 · outbound
This paper cites Toeplitz minors.J.
Determinants of Random Unitary Pencils Toeplitz minors.J
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.558811Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 24c3da4e-ea38-492e-8ccf-5c1bb1c0efae · outbound
This paper cites On the averages of characteristic polynomials from classical groups.Comm.
Determinants of Random Unitary Pencils On the averages of characteristic polynomials from classical groups.Comm
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.542298Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7cce57be-6a7b-4049-bcf9-fea6cae29825 · outbound
This paper cites Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability.Int.
Determinants of Random Unitary Pencils Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability.Int
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.527573Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2809897f-14dc-4e00-b5fe-fdcadaedfb1a · outbound
This paper cites Integration with respect to the Haar measure on unitary, orthogonal and symplectic group.Comm.
Determinants of Random Unitary Pencils Integration with respect to the Haar measure on unitary, orthogonal and symplectic group.Comm
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.511724Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b9551a65-3fdd-4665-be88-d35aef26dc63 · outbound
This paper cites an unresolved cited work.
Determinants of Random Unitary Pencils Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:57:44.493611Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 95e49427-8f9d-4f0a-bbcb-d42325fcf9a0 · outbound
This paper cites Springer-Verlag, New York, 1991.
Determinants of Random Unitary Pencils Springer-Verlag, New York, 1991
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.474149Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3281b04b-57cb-4e64-be35-5f96adbf7b6a · outbound
This paper cites Brown’s spectral distribution measure forR-diagonal elements in finite von Neumann algebras.J.
Determinants of Random Unitary Pencils Brown’s spectral distribution measure forR-diagonal elements in finite von Neumann algebras.J
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.457180Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2aa07205-8a51-41b3-95ba-d2c0f09bf6a6 · outbound
This paper cites An invitation to the Drury-Arveson space.
Determinants of Random Unitary Pencils An invitation to the Drury-Arveson space
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.440659Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c5bb472c-3ce1-4b19-882e-45bf3c3eec3a · outbound
This paper cites William Helton, Igor Klep, and Jurij Volˇ ciˇ c.
Determinants of Random Unitary Pencils William Helton, Igor Klep, and Jurij Volˇ ciˇ c
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.423278Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f526feb3-a8ec-449f-a865-fb6b5924c360 · outbound
This paper cites Jury, Robert T.
Determinants of Random Unitary Pencils Jury, Robert T
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.407669Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e253ca72-5495-4cae-b6e7-84faf7713ce9 · outbound
This paper cites an unresolved cited work.
Determinants of Random Unitary Pencils Unresolved cited work
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:57:43.943210Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 97cbcfdf-b644-4d70-8b78-61933f2e95ba · outbound
This paper cites A theorem of Frobenius, a theorem of Amitsur-Levitski and cohomology theory.J.
Determinants of Random Unitary Pencils A theorem of Frobenius, a theorem of Amitsur-Levitski and cohomology theory.J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.380556Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 416e56c3-b80a-412f-a36a-6145975e30a3 · outbound
This paper cites an unresolved cited work.
Determinants of Random Unitary Pencils Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:57:44.364916Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f7e25971-ec02-411e-8d8c-9a4cde6f4f85 · outbound
This paper cites Matrix group integrals, surfaces, and mapping class groups I:U(n).Invent.
Determinants of Random Unitary Pencils Matrix group integrals, surfaces, and mapping class groups I:U(n).Invent
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.346277Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 23aaa92e-003f-45e8-83be-ad2b1afdbc1c · outbound
This paper cites an unresolved cited work.
Determinants of Random Unitary Pencils Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:57:44.328828Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4eacbf10-a693-4f0c-8c52-5bd7ec038e52 · outbound
This paper cites Mingo, Piotr ´Sniady, and Roland Speicher.
Determinants of Random Unitary Pencils Mingo, Piotr ´Sniady, and Roland Speicher
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.310082Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c823c9ed-68d6-43bd-a62f-50ee2d635db5 · outbound
This paper cites an unresolved cited work.
Determinants of Random Unitary Pencils Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:57:44.288657Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a763a520-135f-48a3-aa82-88505cdf205d · outbound
This paper cites Similarity problems in noncommutative polydomains.J.
Determinants of Random Unitary Pencils Similarity problems in noncommutative polydomains.J
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.271120Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 35c0f74f-c0e4-433b-82a5-748d32c02092 · outbound
This paper cites an unresolved cited work.
Determinants of Random Unitary Pencils Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:57:44.251942Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e82049f6-1105-4ed3-9fb4-9ef9337cb6c4 · outbound
This paper cites A note on the Formanek Weingarten function.Note Mat., 41(1):69–109, 2021.
Determinants of Random Unitary Pencils A note on the Formanek Weingarten function.Note Mat., 41(1):69–109, 2021
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.235520Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c5c9d194-0a7c-4d67-8dcc-762d8711297d · outbound
This paper cites Combinatorial aspects of Connes’s embedding conjecture and asymptotic distribution of traces of products of unitaries.
Determinants of Random Unitary Pencils Combinatorial aspects of Connes’s embedding conjecture and asymptotic distribution of traces of products of unitaries
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.218234Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation eeaa2c71-7eea-4b4b-a95a-09b2bb8210a6 · outbound
This paper cites Sagan.The symmetric group, volume 203 ofGraduate Texts in Mathematics.
Determinants of Random Unitary Pencils Sagan.The symmetric group, volume 203 ofGraduate Texts in Mathematics
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.198480Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6bf40c48-48b7-4a62-b730-e8459e47211b · outbound
This paper cites Graduate Texts in Mathematics, Vol.
Determinants of Random Unitary Pencils Graduate Texts in Mathematics, Vol
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.178498Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e8016b89-70b2-44b4-b231-db4d01d81e20 · outbound
This paper cites Stanley.Enumerative combinatorics.
Determinants of Random Unitary Pencils Stanley.Enumerative combinatorics
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.162264Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f57bb3d4-4a95-4f43-89bf-8d53e50c37a2 · outbound
This paper cites Stanley.Enumerative combinatorics.
Determinants of Random Unitary Pencils Stanley.Enumerative combinatorics
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.140241Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b45de386-5a96-4650-81f0-68c6a9878ec6 · outbound
This paper cites On domains of noncommutative rational functions.Linear Algebra Appl., 516:69– 81, 2017.
Determinants of Random Unitary Pencils On domains of noncommutative rational functions.Linear Algebra Appl., 516:69– 81, 2017
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:57:44.117096Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c52bbebf-5a65-4018-98ec-4f96b4a48b01 · outbound
This paper cites Princeton Landmarks in Mathematics.
Determinants of Random Unitary Pencils Princeton Landmarks in Mathematics
Reference 32
- Resolution
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- raw_fallback, observed 2026-08-07T10:57:44.095521Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
No inbound Pith citation observations are available.