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Paper Citation Record · LEDGER

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants

As of 14 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:1909.00963.

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

pith.paper-citation-record.v1
1909.00963 v6

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:44:31.842714Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

21 of 21 outbound references displayed

  • verified exact12
  • verified fuzzy2
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4aed2af1-b652-4552-85b6-c442cf58dafc · outbound

This paper cites an unresolved cited work.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Unresolved cited work

Reference 1

Resolution
verified exact
raw_fallback, observed 2026-08-14T05:44:32.381089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:44:31.741154Z digest=sha256:0a36437b7bf62ff39e809efbfdbee8713f0c11bf8afe865a6f9cec11822ffbe7

Observation 2e449ba1-b133-40fd-ba9e-ee5dc34ebb67 · outbound

This paper cites Asymptotic formulas for determinants of a special class of Toeplitz + Hankel matrices.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Asymptotic formulas for determinants of a special class of Toeplitz + Hankel matrices

Reference 2

Resolution
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local_arxiv, observed 2026-08-14T05:44:32.312258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 349d2379-1092-4ae0-9566-623f6a1ff8ee · outbound

This paper cites an unresolved cited work.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Unresolved cited work

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation a8df68e4-5028-4b5d-a18b-937fb1f24304 · outbound

This paper cites Theory Adv.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Theory Adv

Reference 4

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verified exact
raw_fallback, observed 2026-08-14T05:44:32.208695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation dc4586a3-194b-44ac-a5b7-b58aea587475 · outbound

This paper cites Determinant computations for some classes of Toeplitz-Hankel matrices.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Determinant computations for some classes of Toeplitz-Hankel matrices

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-14T05:44:31.762910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:44:31.762910Z digest=sha256:d2bc28c3c2e97641a3f3d1bc5759f78277c793b7d1cc044b99ee2676dfc457cf

Observation d28445ac-c690-46b9-91c8-962c52b40908 · outbound

This paper cites Fredholm and invertibility theory for a special class of Toeplitz + Hankel operators.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Fredholm and invertibility theory for a special class of Toeplitz + Hankel operators

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:44:32.109180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:44:31.768669Z digest=sha256:fcc72e2bf565a988cdb753318adb3156687192921c90b9153ea8de23033a1d35

Observation e7b10b6e-f3b0-4569-82f2-db87f436eb9f · outbound

This paper cites an unresolved cited work.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:44:32.472598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:44:31.774571Z digest=sha256:e545a6319e6f938979e831b7ffcf5387b8fe9a39532646060475cd9a5ed3a167

Observation e9aaaee8-52cf-4cfd-8647-8adb46a0d9fd · outbound

This paper cites an unresolved cited work.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:44:32.454939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:44:31.779367Z digest=sha256:e9b5df566ad8e0bd0a91eb8cb587b796d995e9a9093ba657b7055454db2dd81f

Observation 90026c61-70f4-4cfd-9606-130d6b0e5dcd · outbound

This paper cites an unresolved cited work.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:44:32.436851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:44:31.784368Z digest=sha256:9e01306953c2c9af944b81bef02eeaa76b5510cc1838e8f4f583dd49f1da3198

Observation 48ab5c1a-9721-40f7-a955-27e3a5c674d3 · outbound

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

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Asymptotics of Hankel determinants with a one-cut regular potential and Fisher-Hartwig singularities

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:44:32.085649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:44:31.789029Z digest=sha256:867a5e529ee95d3224f9207a435c157f8dad5b1fa17e449c2a3627ecc5ed227d

Observation a623b05d-5a45-4058-b893-e6e6923a8d29 · outbound

This paper cites Asymptotics of Hankel determinants with a Laguerre-type or Jacobi-type potential and Fisher-Hartwig singularities.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Asymptotics of Hankel determinants with a Laguerre-type or Jacobi-type potential and Fisher-Hartwig singularities

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-14T05:44:31.794248Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:44:31.794248Z digest=sha256:b35915117f3c8363f26b82655bbd5fa938d9a0a34e84db503f77e43878cac551

Observation fdc8ffd0-ca4d-422d-9ea6-b0f5b6261e48 · outbound

This paper cites Magnetization in the zig-zag layered Ising model and orthogonal polynomials.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Magnetization in the zig-zag layered Ising model and orthogonal polynomials

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:44:32.039529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:44:31.799363Z digest=sha256:61a93da088a8520143c465c488941f0829131e780ce004c35fa451daf39923d4

Observation 11ca463e-bdc7-4a79-b728-ff537187816f · outbound

This paper cites Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-14T05:44:31.804347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:44:31.804347Z digest=sha256:778b01ea3343d8d91a0301444f13c16636a4b9261df4ee6f34c57309dd1470da

Observation 8fd02d14-ba31-453b-b753-a2d33fb47bcc · outbound

This paper cites Eigenvalues of Toeplitz matrices in the bulk of the spectrum.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Eigenvalues of Toeplitz matrices in the bulk of the spectrum

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:44:31.997498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:44:31.809334Z digest=sha256:1a654bf6ecea7b12810fe317cc8193838a40959e0bcb95a2022a0dfa2c4ba1db

Observation 86375a2d-da97-4769-b823-396c8d164118 · outbound

This paper cites Toeplitz matrices and Toeplitz determinants under the impetus of the Ising model. Some history and some recent results.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Toeplitz matrices and Toeplitz determinants under the impetus of the Ising model. Some history and some recent results

Reference 15

Resolution
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local_arxiv, observed 2026-08-14T05:44:31.975167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:44:31.814098Z digest=sha256:334bef9d81da9c0f6383a4997fb8d0c2927f839e730a3bf5592895890bcdb784

Observation 6c141463-095d-48ea-b9fa-edc6758a8f5b · outbound

This paper cites Pure Appl.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Pure Appl

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:44:31.818989Z digest=sha256:1f73809e8227fa43df9e5b9da15f4b0c5585ffdc52ca9e8559c79c92907e6ca2

Observation 4ebcb577-7013-478a-8e7e-7704847213ec · outbound

This paper cites Pure Appl.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Pure Appl

Reference 17

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raw_fallback, observed 2026-08-14T05:44:32.399946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:44:31.823362Z digest=sha256:8b369f728312e2dfb8c23deef1b28f2cc07bc99a94931b474a71efe09016e9d9

Observation 428ed434-a5c8-40fd-8d3e-2c4c73ea1ca7 · outbound

This paper cites On determinants identity minus Hankel matrix.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants On determinants identity minus Hankel matrix

Reference 18

Resolution
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local_arxiv, observed 2026-08-14T05:44:31.952813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:44:31.827929Z digest=sha256:13a73e49fc98386b79c1595146bca747a6bd516541cd8ea7e2e672a057b7c513

Observation bf867eef-7eda-48fa-a85b-a79042e8cf15 · outbound

This paper cites Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:44:31.930446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:44:31.832684Z digest=sha256:d672629fb52d5c8b19ddd43987ecc07430f456c6a887c08dca8deef363cd39cc

Observation 2b3c8eb9-3694-4b4f-a6be-74fe79218d49 · outbound

This paper cites Correlations of the characteristic polynomials in the Gaussian Unitary Ensemble or a singular Hankel determinant.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Correlations of the characteristic polynomials in the Gaussian Unitary Ensemble or a singular Hankel determinant

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:44:31.906952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:44:31.837769Z digest=sha256:d76a16855498a720f1afa14425aa05e558d2536e1763e23e0eb7b5636947537c

Observation e1a8f529-cf2d-4e7a-b150-59b1ac00b67c · outbound

This paper cites Aspects of Toeplitz determinants.

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants Aspects of Toeplitz determinants

Reference 21

Resolution
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no resolver link, observed 2026-08-14T05:44:31.842714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:44:31.842714Z digest=sha256:8b7b7a73ef94834b9efd1bdeca3a914497c8e447368d46b26ccd53da0dff5c23

Pith citing papers

No inbound Pith citation observations are available.