Paper Citation Record · LEDGER

A Tau function for $q$-Painlev\'e VI as a Fredholm determinant

As of 7 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2608.03345.

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

pith.paper-citation-record.v1
2608.03345 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T20:40:40.585299Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

15 of 15 outbound references displayed

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verified fuzzy2
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External citation measurements

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Outbound references

Observation 2e6be7c4-f9b6-4def-9e14-3dcd67244238 · outbound

This paper cites Harold Widom’s work in Toeplitz operators.

A Tau function for $q$-Painlev\'e VI as a Fredholm determinant Harold Widom’s work in Toeplitz operators

Reference 1

Resolution: verified exact; doi, observed 2026-08-05T20:40:41.358045Z

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 d20930bf-7835-417d-afb4-a7176e9ad5fc · outbound

This paper cites Modular transformations of tau functions and conformal blocks on the torus.

A Tau function for $q$-Painlev\'e VI as a Fredholm determinant Modular transformations of tau functions and conformal blocks on the torus

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-05T20:40:40.261037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70836fa1-9914-44a7-a092-b64a111b61e4 · outbound

This paper cites q-Painlev´ e VI equation arising fromq-UC hierarchy.

A Tau function for $q$-Painlev\'e VI as a Fredholm determinant q-Painlev´ e VI equation arising fromq-UC hierarchy

Reference 16

Resolution: verified exact; raw_fallback, observed 2026-08-05T20:40:41.670382Z

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 a73e78ab-f9d3-4f77-8361-0a5a3112e407 · outbound

This paper cites The space of monodromy data for the Jimbo-Sakai family ofq-difference equations.

A Tau function for $q$-Painlev\'e VI as a Fredholm determinant The space of monodromy data for the Jimbo-Sakai family ofq-difference equations

Reference 22

Resolution: verified exact; doi, observed 2026-08-05T20:40:40.797395Z

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 f06c91b4-a7eb-4b05-9429-5da850b90bb9 · outbound

This paper cites On the Riemann-Hilbert problem for aq-difference Painlev´ e equation.

A Tau function for $q$-Painlev\'e VI as a Fredholm determinant On the Riemann-Hilbert problem for aq-difference Painlev´ e equation

Reference 27

Resolution: malformed identifier; no resolver link, observed 2026-08-05T20:40:40.179805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac030f61-17eb-43c1-8e46-43dcf42fa64c · outbound

This paper cites On solutions of the Fuji-Suzuki-Tsuda sys- tem.

A Tau function for $q$-Painlev\'e VI as a Fredholm determinant On solutions of the Fuji-Suzuki-Tsuda sys- tem

Reference 38

Resolution: verified exact; doi, observed 2026-08-05T20:40:41.197025Z

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 5e52e560-8561-4879-b0a4-923144a87f06 · outbound

This paper cites Rational surfaces associated with affine root systems and geometry of the Painlev´ e equations.

A Tau function for $q$-Painlev\'e VI as a Fredholm determinant Rational surfaces associated with affine root systems and geometry of the Painlev´ e equations

Reference 116

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:40:41.960936Z

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 e0b49c68-0f00-4462-b2b9-65d050ae3994 · outbound

This paper cites On theτ-function of the Painlev´ e equations.

A Tau function for $q$-Painlev\'e VI as a Fredholm determinant On theτ-function of the Painlev´ e equations

Reference 128

Resolution: malformed identifier; doi_truncated, observed 2026-08-05T20:40:40.983259Z

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 d39d012b-39f6-4e41-836f-b42e8d430bfe · outbound

This paper cites Isomonodromic tau functions on a torus as Fredholm determinants, and charged partitions.

A Tau function for $q$-Painlev\'e VI as a Fredholm determinant Isomonodromic tau functions on a torus as Fredholm determinants, and charged partitions

Reference 2012

Resolution: malformed identifier; no resolver link, observed 2026-08-05T20:40:39.557136Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e99b486-333a-4124-9888-e316c1fddd3a · outbound

This paper cites Monodromy preserving deformation of linear ordinary differential equations with rational coefficients: I. General theory andτ-function.

A Tau function for $q$-Painlev\'e VI as a Fredholm determinant Monodromy preserving deformation of linear ordinary differential equations with rational coefficients: I. General theory andτ-function

Reference 2013

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:40:42.140819Z

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 51bfaaa6-05b2-40b6-b1d9-bde252072b95 · outbound

This paper cites Quantum curves and $q$-deformed Painlev\'e equations.

A Tau function for $q$-Painlev\'e VI as a Fredholm determinant Quantum curves and $q$-deformed Painlev\'e equations

Reference 2018

Resolution: malformed identifier; no resolver link, observed 2026-08-05T20:40:39.365158Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a12c5e4-9332-47ec-8f19-cea891167c4a · outbound

This paper cites Monodromy dependence and connection formulae for isomonodromic tau functions.

A Tau function for $q$-Painlev\'e VI as a Fredholm determinant Monodromy dependence and connection formulae for isomonodromic tau functions

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-05T20:40:39.949559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6747d4f4-5779-4fe3-81c4-7737a3ee437d · outbound

This paper cites Cluster Reductions, Mutations, and $q$-Painlev\'e Equations.

A Tau function for $q$-Painlev\'e VI as a Fredholm determinant Cluster Reductions, Mutations, and $q$-Painlev\'e Equations

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-05T20:40:39.208997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2cd0889b-362f-4a7f-9ecd-2fa82c4330bd · outbound

This paper cites Riemann-Hilbert problems, Fredholm determinants, explicit combinatorial expansions, and connection formulas for the general $q$-Painlev\'e III$_3$ tau functions.

A Tau function for $q$-Painlev\'e VI as a Fredholm determinant Riemann-Hilbert problems, Fredholm determinants, explicit combinatorial expansions, and connection formulas for the general $q$-Painlev\'e III$_3$ tau functions

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-05T20:40:39.718958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1e72fe9-23e5-467d-ac4a-18e1eb24276c · outbound

This paper cites Painlev\'e/CFT correspondence on a torus.

A Tau function for $q$-Painlev\'e VI as a Fredholm determinant Painlev\'e/CFT correspondence on a torus

Reference 6507

Resolution: unresolved; no resolver link, observed 2026-08-05T20:40:39.637023Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.