Paper Citation Record · LEDGER

Refined Painlev\'e/gauge theory correspondence and quantum tau functions

As of 10 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 9 inbound Pith citation observations for arXiv:2502.01499.

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pith.paper-citation-record.v1
2502.01499 v1

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measured 63 of 63 reference resolution

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Outbound references

Observation d20d8080-396c-4b1f-bb1d-0934b439cf59 · outbound

This paper cites Conformal field theory of Painlev\'e VI.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Conformal field theory of Painlev\'e VI

Reference 1

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Observation 3a04c246-69f3-49f9-a51f-6fb13f591cfc · outbound

This paper cites How instanton combinatorics solves Painlev\'e VI, V and III's.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions How instanton combinatorics solves Painlev\'e VI, V and III's

Reference 2

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Observation 09262e14-f46e-4122-98c4-8924405a5adc · outbound

This paper cites Painleve equations from Nakajima-Yoshioka blowup relations.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Painleve equations from Nakajima-Yoshioka blowup relations

Reference 3

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Observation 6e7a86e3-fec2-4f2c-a967-1acc680e9b07 · outbound

This paper cites Seiberg-Witten theory as a Fermi gas.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Seiberg-Witten theory as a Fermi gas

Reference 4

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Observation 1885618c-1c63-407b-8faf-552b0918f7a4 · outbound

This paper cites On Painlev\'e/gauge theory correspondence.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions On Painlev\'e/gauge theory correspondence

Reference 5

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Observation da7ce19f-2967-42a1-a7f7-a17dc45001e5 · outbound

This paper cites Irregular conformal blocks, Painlev\'e III and the blow-up equations.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Irregular conformal blocks, Painlev\'e III and the blow-up equations

Reference 6

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Observation ded0a2eb-cbfb-4533-b80a-e0fcd410b678 · outbound

This paper cites Blowups in BPS/CFT correspondence, and Painlev\'e VI.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Blowups in BPS/CFT correspondence, and Painlev\'e VI

Reference 7

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Observation 00a138bd-e4ea-4a7d-a741-9cfd622f50da · outbound

This paper cites Seiberg-Witten Prepotential From Instanton Counting.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Seiberg-Witten Prepotential From Instanton Counting

Reference 8

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Observation 86096701-f599-40c4-bbcb-cd339a2c7529 · outbound

This paper cites New Phenomena in SU(3) Supersymmetric Gauge Theory.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions New Phenomena in SU(3) Supersymmetric Gauge Theory

Reference 9

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Observation 0095a18f-4974-4dc8-a512-3654f917a3f1 · outbound

This paper cites Localization of gauge theory on a four-sphere and supersymmetric Wilson loops.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Localization of gauge theory on a four-sphere and supersymmetric Wilson loops

Reference 10

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Observation 103a1511-a06d-4e90-a5b2-80a8360c3bb8 · outbound

This paper cites Localizing gauge theories.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Localizing gauge theories

Reference 11

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Observation df905a7c-dbee-4161-9d6c-0f8eaefa78d7 · outbound

This paper cites Seiberg-Witten Theories on Ellipsoids.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Seiberg-Witten Theories on Ellipsoids

Reference 12

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Observation 71c847be-1424-4e2a-af05-d53ee11c5047 · outbound

This paper cites $\mathcal{N}=2$ supersymmetric gauge theories on $S^2\times S^2$ and Liouville Gravity.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions $\mathcal{N}=2$ supersymmetric gauge theories on $S^2\times S^2$ and Liouville Gravity

Reference 13

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Observation f7d6cce5-cdbf-48dc-957d-fdc5589077a0 · outbound

This paper cites Exact results for ${\cal N}=2$ supersymmetric gauge theories on compact toric manifolds and equivariant Donaldson invariants.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Exact results for ${\cal N}=2$ supersymmetric gauge theories on compact toric manifolds and equivariant Donaldson invariants

Reference 14

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Observation dc3451a1-b27f-4466-8b22-67fe6360f382 · outbound

This paper cites Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants

Reference 15

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Observation 4e2df746-f221-4578-8db7-1074cd981b09 · outbound

This paper cites Gauge theories on compact toric manifolds.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Gauge theories on compact toric manifolds

Reference 16

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Observation af13175b-4094-4b2d-8689-a01b7c7d6a24 · outbound

This paper cites Quantization of Integrable Systems and Four Dimensional Gauge Theories.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Quantization of Integrable Systems and Four Dimensional Gauge Theories

Reference 17

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Observation cfabb0fd-6441-4093-8d0e-c5091275d2a7 · outbound

This paper cites Bilinear equations on Painleve tau functions from CFT.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Bilinear equations on Painleve tau functions from CFT

Reference 18

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Observation 076ef94d-450a-46da-9ce8-4e034a3e7901 · outbound

This paper cites Gauge Theories on ALE Space and Super Liouville Correlation Functions.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Gauge Theories on ALE Space and Super Liouville Correlation Functions

Reference 19

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Observation 8be3062d-0558-481e-8dee-8d91f58234c1 · outbound

This paper cites Instantons on ALE spaces and Super Liouville Conformal Field Theories.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Instantons on ALE spaces and Super Liouville Conformal Field Theories

Reference 20

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Observation 32d428b6-f91e-4d9f-b808-03d1c1992e68 · outbound

This paper cites Instanton moduli spaces and bases in coset conformal field theory.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Instanton moduli spaces and bases in coset conformal field theory

Reference 21

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Observation bf84602a-2e1a-40ab-bcc8-561410e98f4c · outbound

This paper cites Lectures on Instanton Counting.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Lectures on Instanton Counting

Reference 22

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Observation 79c939f2-e737-4eff-9db2-3725817037fb · outbound

This paper cites Cluster integrable systems, q-Painleve equations and their quantization.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Cluster integrable systems, q-Painleve equations and their quantization

Reference 23

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Observation bf7101d3-0cc1-4f30-9c6c-609734697bdd · outbound

This paper cites On the convergence of Nekrasov functions.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions On the convergence of Nekrasov functions

Reference 24

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Observation 05c6e1fe-9998-47d0-bd8a-7157bad0d353 · outbound

This paper cites Connection problem for the sine-Gordon/Painlev\'e III tau function and irregular conformal blocks.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Connection problem for the sine-Gordon/Painlev\'e III tau function and irregular conformal blocks

Reference 25

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Observation 9a793ac2-bcfb-4907-a839-9cd0bbbeb133 · outbound

This paper cites Conformal blocks and Painlev\'e functions.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Conformal blocks and Painlev\'e functions

Reference 26

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Observation 44c07562-6b8f-4a57-afbf-c4876e9f2a6f · outbound

This paper cites Irregular conformal blocks and connection formulae for Painlev\'e V functions.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Irregular conformal blocks and connection formulae for Painlev\'e V functions

Reference 27

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Observation 6309dd77-96ff-4901-b62c-114a0276956e · outbound

This paper cites Irregular Liouville correlators and connection formulae for Heun functions.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Irregular Liouville correlators and connection formulae for Heun functions

Reference 28

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This paper cites The Omega deformed B-model for rigid N=2 theories.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions The Omega deformed B-model for rigid N=2 theories

Reference 29

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This paper cites Liouville Correlation Functions from Four-dimensional Gauge Theories.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Liouville Correlation Functions from Four-dimensional Gauge Theories

Reference 30

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This paper cites Irregular singularities in Liouville theory.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Irregular singularities in Liouville theory

Reference 31

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This paper cites A note on rank 5/2 Liouville irregular block, Painlev\'e 1 and the ${\cal H}_0$ Argyres-Douglas theory.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions A note on rank 5/2 Liouville irregular block, Painlev\'e 1 and the ${\cal H}_0$ Argyres-Douglas theory

Reference 32

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This paper cites Asymptotically free N=2 theories and irregular conformal blocks.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Asymptotically free N=2 theories and irregular conformal blocks

Reference 33

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This paper cites Wild Quiver Gauge Theories.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Wild Quiver Gauge Theories

Reference 34

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Refined Painlev\'e/gauge theory correspondence and quantum tau functions On irregular states and Argyres-Douglas theories

Reference 35

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This paper cites Irregular conformal blocks, with an application to the fifth and fourth Painlev\'e equations.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Irregular conformal blocks, with an application to the fifth and fourth Painlev\'e equations

Reference 36

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This paper cites Remarks on irregular conformal blocks and Painlev\'e III and II tau functions.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Remarks on irregular conformal blocks and Painlev\'e III and II tau functions

Reference 37

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This paper cites Monodromy Problem and the Boundary Condition fo r Some Painlev´ e Equations.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Monodromy Problem and the Boundary Condition fo r Some Painlev´ e Equations

Reference 38

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Refined Painlev\'e/gauge theory correspondence and quantum tau functions To appear

Reference 39

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This paper cites Argyres-Douglas theories and Liouville Irregular States.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Argyres-Douglas theories and Liouville Irregular States

Reference 40

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Refined Painlev\'e/gauge theory correspondence and quantum tau functions Matrix Painlev´ e systems

Reference 41

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Observation 6af8a14a-f45b-4299-83e3-d9e16d78dee7 · outbound

This paper cites Quantum Painlev\'e systems of type $A^{(1)}_l$.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Quantum Painlev\'e systems of type $A^{(1)}_l$

Reference 42

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This paper cites A quantization of the sixth Painlev´ e equation.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions A quantization of the sixth Painlev´ e equation

Reference 43

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Observation cff4382f-ff2c-4982-9fb4-549d69165a7b · outbound

This paper cites Affine SL(2) conformal blocks from 4d gauge theories.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Affine SL(2) conformal blocks from 4d gauge theories

Reference 44

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Refined Painlev\'e/gauge theory correspondence and quantum tau functions BPS/CFT correspondence V: BPZ and KZ equations from qq-characters

Reference 45

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Refined Painlev\'e/gauge theory correspondence and quantum tau functions OPE coefficients in Argyres-Douglas theories

Reference 46

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This paper cites Partition functions of non-Lagrangian theories from the holomorphic anomaly.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Partition functions of non-Lagrangian theories from the holomorphic anomaly

Reference 47

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Refined Painlev\'e/gauge theory correspondence and quantum tau functions Instantons to the people: the power of one-form symmetries

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-09T15:20:14.886304Z

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This paper cites $tt^*$ Toda equations for surface defects in ${\mathcal N}=2$ SYM and instanton counting for classical Lie groups.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions $tt^*$ Toda equations for surface defects in ${\mathcal N}=2$ SYM and instanton counting for classical Lie groups

Reference 49

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This paper cites Surface observables in gauge theories, modular Painlev\'e tau functions and non-perturbative topological strings.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Surface observables in gauge theories, modular Painlev\'e tau functions and non-perturbative topological strings

Reference 50

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This paper cites Resurgent Structure of the Topological String and the First Painlev\'e Equation.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Resurgent Structure of the Topological String and the First Painlev\'e Equation

Reference 51

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This paper cites Rational Surfaces Associated with Aﬃne Root Systems¶and Geometry of the Painlev´ e Equations.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Rational Surfaces Associated with Aﬃne Root Systems¶and Geometry of the Painlev´ e Equations

Reference 52

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This paper cites Q-deformed Painleve tau function and q-deformed conformal blocks.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Q-deformed Painleve tau function and q-deformed conformal blocks

Reference 53

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This paper cites Instanton counting on blowup. II. $K$-theoretic partition function.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Instanton counting on blowup. II. $K$-theoretic partition function

Reference 54

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Refined Painlev\'e/gauge theory correspondence and quantum tau functions Resurgence of Refined Topological Strings and Dual Partition Functions

Reference 55

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This paper cites Contributions to the Theory of the Barnes Function.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Contributions to the Theory of the Barnes Function

Reference 56

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Observation 23914245-ded8-408b-b34a-cda59cd2e5d0 · outbound

This paper cites Super Liouville conformal blocks from N=2 SU(2) quiver gauge theories.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Super Liouville conformal blocks from N=2 SU(2) quiver gauge theories

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-09T15:20:14.918242Z

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Observation a06402fa-47cb-443a-b8aa-2d34dd266e39 · outbound

This paper cites Instantons and 2d Superconformal field theory.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Instantons and 2d Superconformal field theory

Reference 58

Resolution: verified exact; local_arxiv, observed 2026-08-09T15:20:15.038420Z

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Observation ef1f06fb-c460-4404-858a-03043d921c2b · outbound

This paper cites Fu sions of Conformal Models.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Fu sions of Conformal Models

Reference 59

Resolution: verified exact; doi, observed 2026-08-09T15:20:14.978071Z

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Observation bd686860-1721-4879-9895-d7e0ebea155b · outbound

This paper cites Multi-Instanton Calculus and Equivariant Cohomology.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Multi-Instanton Calculus and Equivariant Cohomology

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-09T15:20:14.928900Z

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Observation 94b29775-34c3-4db5-83ee-46be6d5a6c2d · outbound

This paper cites An Algorithm for the Microscopic Evaluation of the Coefficients of the Seiberg-Witten Prepotential.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions An Algorithm for the Microscopic Evaluation of the Coefficients of the Seiberg-Witten Prepotential

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-09T15:20:14.932347Z

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Observation 2bcbcb5a-254c-4a50-9285-4cd9178c3fbf · outbound

This paper cites Folding t ransformations of the Painlev´ e equations.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions Folding t ransformations of the Painlev´ e equations

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-09T15:20:14.935942Z

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Observation a4ce4f62-cf65-4966-aba1-23a186f4bcb8 · outbound

This paper cites A study on the bilinear equation of the sixth Painlev\'e transcendents.

Refined Painlev\'e/gauge theory correspondence and quantum tau functions A study on the bilinear equation of the sixth Painlev\'e transcendents

Reference 63

Resolution: verified exact; local_arxiv, observed 2026-08-09T15:20:15.004129Z

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Pith citing papers

Observation e72f1438-28f6-4ee7-93f7-b7189f0e7348 · inbound

A note on rank $\frac{3}{2}$ Liouville irregular block cites this paper.

A note on rank $\frac{3}{2}$ Liouville irregular block Refined Painlev\'e/gauge theory correspondence and quantum tau functions

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-07T19:15:10.374940Z

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Observation f629b046-7c75-485c-8391-1a83168db790 · inbound

Many-faced Painlev\'e I: irregular conformal blocks, topological recursion, and holomorphic anomaly approaches cites this paper.

Many-faced Painlev\'e I: irregular conformal blocks, topological recursion, and holomorphic anomaly approaches Refined Painlev\'e/gauge theory correspondence and quantum tau functions

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T15:03:27.167274Z

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Observation 4b1d4d01-264c-4300-b0f1-7a8e4544fcec · inbound

Exact expressions for the 5-Point Liouville conformal block with a level-two degenerate field insertion cites this paper.

Exact expressions for the 5-Point Liouville conformal block with a level-two degenerate field insertion Refined Painlev\'e/gauge theory correspondence and quantum tau functions

Reference 25

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Observation dde65bab-d846-40c0-88e1-92e7c716ba39 · 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 Refined Painlev\'e/gauge theory correspondence and quantum tau functions

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-06T19:46:42.506536Z

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Observation cd0e843a-867f-4edd-8c2a-06f4c77ddc40 · inbound

Eigenfunctions of deformed Schr\"odinger equations cites this paper.

Eigenfunctions of deformed Schr\"odinger equations Refined Painlev\'e/gauge theory correspondence and quantum tau functions

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T22:25:24.067873Z

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Observation 4a8468ab-e0c3-4638-b50c-6bf8bd80d56d · inbound

Degeneration limits of Virasoro vertex operators and Painlev\'e tau functions cites this paper.

Degeneration limits of Virasoro vertex operators and Painlev\'e tau functions Refined Painlev\'e/gauge theory correspondence and quantum tau functions

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T10:14:03.212563Z

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Observation 0863a7b6-0e35-4a17-a06a-4b4a78ff52b1 · inbound

Wall-crossing of Instantons on the Blow-up cites this paper.

Wall-crossing of Instantons on the Blow-up Refined Painlev\'e/gauge theory correspondence and quantum tau functions

Reference 34

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T14:01:07.678265Z

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Observation 013fc1fa-78bb-4b09-a86a-d0cc825c23e9 · inbound

Accessory Parameter of Confluent Heun Equations, Voros Periods and classical irregular conformal blocks cites this paper.

Accessory Parameter of Confluent Heun Equations, Voros Periods and classical irregular conformal blocks Refined Painlev\'e/gauge theory correspondence and quantum tau functions

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-11T21:41:15.084485Z

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Observation cbc0840e-6891-4d6b-abf4-8827aea98454 · inbound

(1,k) CFT and RH problem with the c=-2 case cites this paper.

(1,k) CFT and RH problem with the c=-2 case Refined Painlev\'e/gauge theory correspondence and quantum tau functions

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-01T16:09:18.006565Z

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