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Paper Citation Record · LEDGER

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

As of 15 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:c758626cb5f665b6368e97bbf957fe775514f84e991b06762e26595fbd94b1f5

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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raw_fallback, observed 2026-08-14T05:44:32.288790Z

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.

source=pdf_text observed=2026-08-14T05:44:31.757659Z digest=sha256:60f24b010bb7fae045ffd7b854034b6fb854df1e23176c0e83001bd27786cda4

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
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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=sha256:0a82b29886446a1e234f40de9c7614a849727967aa5913bd12029de546012f5c

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=sha256:5a8be8af6cf07c8bf50bc66628dc0a05f217dcdce9fbaeb5bb08ad806cb099db

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

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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:c83a64d1e7205c260010bd48a83d9e04f1ff5b25ab5543f16e36b11cf3eb17ce

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=sha256:1b7330536ba318668f014b209960a1baa8786efc216fb2a63400fa29c4cb1497

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=sha256:1209ca33bc675b8c6ec25c734050518d18cd763dc577089c02e2109fac9973b6

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:ad64e670bedbbb8754e3b98ec6f65bfbe34d4df53b3fd7bdf74dfd6df0e83dd8

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:e54904f5d5ba88716cac50f15f57292d0ed184565da7f5210bd7535325247f7a

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:f1cd4ab72090b984cdf1606f1d8634c081f4f6fd4d2e99fff3247f5544d53201

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=sha256:5dacee18f9ad61f35264f7ed5a95ba352890ae3c80f6e78cd09d5a7c6bed3a81

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:c16efad3d66261ee1d6745594b55229df30a642873ad106a846ba600d2753746

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
verified exact
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=sha256:125cccc40183f47bcf7f75d9f2217dcb320877b4332d929c9d875d8f9eeed925

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
raw_fallback, observed 2026-08-14T05:44:32.417993Z

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=sha256:0cc02358fa5ea407ef8be0831253db4f585905e3f67582ce9d213ed1aaee5ceb

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=sha256:8e2d2861bdaf0e081d01dd02061eed5c9e1a482c9b967551d68ebaf4e71a7f2f

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:fcdbc4ce00e2a2d1495aacba4b63dd5bdba280a13ea5d811d4359e5bec54432c

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=sha256:0168739204b602185df1fe798b1bdbf75283bdbe68ee8e61a5c3e2204af50664

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:e2d06f887f61e3f0de9f9ce8ec8091a1818dff372b32d8bcd7994a444503db90

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:be3e67277d67418e962f2e3bc635c52b5b62f6c6cc06f133e6f08f24acb33a08

Pith citing papers

No inbound Pith citation observations are available.