Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T22:41:23.508882Z
Paper Citation Record · LEDGER
Riemann-Hilbert problems, Fredholm determinants, explicit combinatorial expansions, and connection formulas for the general $q$-Painlev\'e III$_3$ tau functions
As of 17 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 3 inbound Pith citation observations for arXiv:2501.01419.
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 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:46:43.768175Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-05T18:54:04.759685Z
Reference resolution
5 of 5 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 648841cd-02a4-4457-b1a1-c1d0d5dbf1af · outbound
This paper cites Non-perturbative approaches to the quantum Seiberg-Witten curve.
Riemann-Hilbert problems, Fredholm determinants, explicit combinatorial expansions, and connection formulas for the general $q$-Painlev\'e III$_3$ tau functions Non-perturbative approaches to the quantum Seiberg-Witten curve
Reference 106
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:41:23.500789Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c8bfa236-c02e-4370-8af5-5bdd69013bbc · outbound
This paper cites Distribution of the first particle in discrete orthogonal polynomial ensembles.
Riemann-Hilbert problems, Fredholm determinants, explicit combinatorial expansions, and connection formulas for the general $q$-Painlev\'e III$_3$ tau functions Distribution of the first particle in discrete orthogonal polynomial ensembles
Reference 338
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-10T22:41:23.739839Z
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.
Observation 704cfe00-dc3c-4109-adee-b44f1abfede7 · outbound
This paper cites Quantum spectral problems and isomonodromic deformations.
Riemann-Hilbert problems, Fredholm determinants, explicit combinatorial expansions, and connection formulas for the general $q$-Painlev\'e III$_3$ tau functions Quantum spectral problems and isomonodromic deformations
Reference 418
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:41:23.492968Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a02dc138-3f27-4767-a60c-05830bbf152b · outbound
This paper cites Classical Con- formal Blocks and Painleve VI.
Riemann-Hilbert problems, Fredholm determinants, explicit combinatorial expansions, and connection formulas for the general $q$-Painlev\'e III$_3$ tau functions Classical Con- formal Blocks and Painleve VI
Reference 2019
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:41:23.508882Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation adfeb9d4-6827-460c-910e-9577fec8667a · outbound
This paper cites Connection problem for the tau-function of the Sine-Gordon reduction of Painlev\'{e}-III equation via the Riemann-Hilbert approach.
Riemann-Hilbert problems, Fredholm determinants, explicit combinatorial expansions, and connection formulas for the general $q$-Painlev\'e III$_3$ tau functions Connection problem for the tau-function of the Sine-Gordon reduction of Painlev\'{e}-III equation via the Riemann-Hilbert approach
Reference 6883
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:41:23.504784Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 8673efc4-e59f-4c90-bf55-19de9340e41c · inbound
Blowing-up the edge: connection formulae and stability chart of the Lam\'e equation cites this paper.
Blowing-up the edge: connection formulae and stability chart of the Lam\'e equation Riemann-Hilbert problems, Fredholm determinants, explicit combinatorial expansions, and connection formulas for the general $q$-Painlev\'e III$_3$ tau functions
Reference 57
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:46:43.768175Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cbcf9500-7c9a-47be-814d-88e1d3328328 · inbound
Modular transformations of tau functions and conformal blocks on the torus cites this paper.
Modular transformations of tau functions and conformal blocks on the torus Riemann-Hilbert problems, Fredholm determinants, explicit combinatorial expansions, and connection formulas for the general $q$-Painlev\'e III$_3$ tau functions
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T18:54:04.877100Z
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.
Observation 2cd0889b-362f-4a7f-9ecd-2fa82c4330bd · inbound
A Tau function for $q$-Painlev\'e VI as a Fredholm determinant cites this paper.
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.