Paper Citation Record · LEDGER

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models

As of 16 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:1908.01278.

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

pith.paper-citation-record.v1
1908.01278 v2

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:24:27.849562Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

38 of 38 outbound references displayed

verified exact7
verified fuzzy10
unresolved19
parse uncertain0
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metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ead350c3-4a5a-4e5a-aea2-476597b8a0c5 · outbound

This paper cites A $q$-anaolg of the sixth Painlev\'e equation.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models A $q$-anaolg of the sixth Painlev\'e equation

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:24:28.261098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ecc7541b-a65c-430e-8433-995baec0f1e3 · outbound

This paper cites On the Continuum Limit of the Conformal Matrix Models.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models On the Continuum Limit of the Conformal Matrix Models

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:24:28.242627Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3b605caa-6198-46de-aa5e-fba8457df805 · outbound

This paper cites Toda Theories, Matrix Models, Topological Strings, and N=2 Gauge Systems.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Toda Theories, Matrix Models, Topological Strings, and N=2 Gauge Systems

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-14T15:24:27.685529Z

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Observation a37f2823-5f71-49d5-bcab-007a4d8b4db8 · outbound

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

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Liouville Correlation Functions from Four-dimensional Gauge Theories

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T15:24:27.690318Z

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Observation bbc8f6dd-8870-4807-b011-f1c6f82ad3c8 · outbound

This paper cites Belavin, A.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Belavin, A

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:28.409924Z

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Observation 24ccc5ce-1bce-470a-a8aa-15341173a1eb · outbound

This paper cites Seiberg-Witten Prepotential From Instanton Counting.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Seiberg-Witten Prepotential From Instanton Counting

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-14T15:24:27.700377Z

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Observation 34d8f4fa-12a5-4027-803a-ad0845491da1 · outbound

This paper cites Matrix Models as Integrable Systems.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Matrix Models as Integrable Systems

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T15:24:27.704993Z

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Observation 0a34ce7e-f927-4a61-8e68-0b59138fde59 · outbound

This paper cites David, Mod.Phys.Lett.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models David, Mod.Phys.Lett

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:28.395155Z

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Observation 2abf9202-4ce0-4eff-8372-cacefa1ecc5e · outbound

This paper cites Comment on integrability in Dijkgraaf-Vafa beta-ensembles.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Comment on integrability in Dijkgraaf-Vafa beta-ensembles

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:24:28.173698Z

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Observation f9ddd8bf-1a24-4238-9b91-534713c20e19 · outbound

This paper cites On determinant representation and integrability of Nekrasov functions.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models On determinant representation and integrability of Nekrasov functions

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-14T15:24:27.718175Z

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Observation 05468982-ceec-42be-b5d4-48fa2907e56c · outbound

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

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Conformal field theory of Painlev\'e VI

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-14T15:24:27.722962Z

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Observation 6d2974ae-d8df-4366-88b3-a6bdff81bf03 · outbound

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

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Quantum curves and $q$-deformed Painlev\'e equations

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-14T15:24:27.728029Z

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Observation e4b59807-6805-4908-8133-12b7a5edfe1e · outbound

This paper cites Argyres-Douglas theories, Painlev\'e II and quantum mechanics.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Argyres-Douglas theories, Painlev\'e II and quantum mechanics

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-14T15:24:27.732579Z

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Observation b350f5ff-a272-4670-a25f-490e1ef345eb · outbound

This paper cites Sakai, Nonlinearity, 11 (1998) 823-833.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Sakai, Nonlinearity, 11 (1998) 823-833

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:28.383197Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 117ab21d-91d4-475f-ae4a-d6cc596f1129 · outbound

This paper cites Complex Geometry of Matrix Models.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Complex Geometry of Matrix Models

Reference 15

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T15:24:28.106950Z

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Observation cdcf92fa-d567-43e7-9740-08fd6c3e1a7d · outbound

This paper cites Matrix Models vs. Matrix Integrals.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Matrix Models vs. Matrix Integrals

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-14T15:24:27.746953Z

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Observation 13573d5a-6326-4d4f-bea1-3ce890218be8 · outbound

This paper cites Matrix Models, Topological Strings, and Supersymmetric Gauge Theories.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Matrix Models, Topological Strings, and Supersymmetric Gauge Theories

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T15:24:27.751363Z

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Observation 32b95211-9e3e-43ff-9b39-0c8b851d6470 · outbound

This paper cites Partition Functions of Matrix Models as the First Special Functions of String Theory. II. Kontsevich Model.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Partition Functions of Matrix Models as the First Special Functions of String Theory. II. Kontsevich Model

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-14T15:24:27.756103Z

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Observation 3f6c2eac-e2d7-423e-932f-69d7da049238 · outbound

This paper cites Towards unified theory of $2d$ gravity.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Towards unified theory of $2d$ gravity

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-14T15:24:27.760542Z

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Observation 4fa39847-a377-459c-b4ad-b960b3159dbd · outbound

This paper cites Fukuma, H.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Fukuma, H

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:28.371895Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9f8b4a69-6939-4a59-91a1-37d4be4e2f81 · outbound

This paper cites Geometric Aspects of Painlev\'e Equations.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Geometric Aspects of Painlev\'e Equations

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T15:24:27.772114Z

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Observation c01751d5-f082-4997-9701-3818888e6f2b · outbound

This paper cites Gerasimov, A.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Gerasimov, A

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:28.360497Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8c23c9e6-befc-44f5-bd8f-343d51cd7b96 · outbound

This paper cites Miwa, Proceedings of the Japan Academy , 58 (1982).

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Miwa, Proceedings of the Japan Academy , 58 (1982)

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:28.345832Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation da40faad-b981-4cda-b46c-33ac622428f6 · outbound

This paper cites Generalized Kontsevich Model Versus Toda Hierarchy and Discrete Matrix Models.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Generalized Kontsevich Model Versus Toda Hierarchy and Discrete Matrix Models

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:24:28.020172Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c3ca28b8-120f-4455-a733-bf7f4fd3a2fe · outbound

This paper cites Kadomtsev-Petviashvili Hierarchy and Generalized Kontsevich Model.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Kadomtsev-Petviashvili Hierarchy and Generalized Kontsevich Model

Reference 25

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T15:24:28.002214Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8b349ba4-6a51-4450-aca3-c8fb15906028 · outbound

This paper cites Free fermions and tau-functions.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Free fermions and tau-functions

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-14T15:24:27.796080Z

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Observation 010c8eac-975d-4e73-888c-703bfe131cf6 · outbound

This paper cites an unresolved cited work.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:24:28.333704Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a2597302-015e-41ee-b60d-9e1c5b107e61 · outbound

This paper cites Proving AGT conjecture as HS duality: extension to five dimensions.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Proving AGT conjecture as HS duality: extension to five dimensions

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:24:27.975114Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4d447d15-5ff2-4704-9f30-ca26e929d7c5 · outbound

This paper cites q-Vertex Operator from 5D Nekrasov Function.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models q-Vertex Operator from 5D Nekrasov Function

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:24:27.959085Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 39c7fbca-c93a-4ac5-a1ce-8a97254bc2d3 · outbound

This paper cites q-Virasoro constraints in matrix models.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models q-Virasoro constraints in matrix models

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-14T15:24:27.814545Z

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Unavailable: canonical work link unavailable.

Observation 50afc142-393f-4e1c-a289-7945c7adf4e6 · outbound

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

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Cluster integrable systems, q-Painleve equations and their quantization

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-14T15:24:27.819523Z

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Unavailable: canonical work link unavailable.

Observation 43de61e1-feb9-4162-ae9f-4dcfc331728e · outbound

This paper cites Gasper, M.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Gasper, M

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:28.319102Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation bca456d6-a112-49a8-a954-85ceca9bcd2b · outbound

This paper cites CFT approach to the $q$-Painlev\'e VI equation.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models CFT approach to the $q$-Painlev\'e VI equation

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-14T15:24:27.828032Z

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Unavailable: canonical work link unavailable.

Observation ae76f37a-855c-4b64-975d-3b9fd184311d · outbound

This paper cites Tsuda, T.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Tsuda, T

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:28.303525Z

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Observation 49ea55da-11fc-4383-aa4a-ea9034a701c9 · outbound

This paper cites On a c-number quantum $\tau$-function.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models On a c-number quantum $\tau$-function

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:24:27.907785Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 817dc56b-5250-4531-9674-36f51a879f17 · outbound

This paper cites q-Painleve equation from Virasoro constraints.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models q-Painleve equation from Virasoro constraints

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-14T15:24:27.841504Z

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Observation 3e76c5df-f6ab-417f-9de5-91a685a4da82 · outbound

This paper cites Brezin, V.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Brezin, V

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:28.289554Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 21c80322-cde4-4dea-bb5c-2b4f99778418 · outbound

This paper cites Ablowitz, H.

Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models Ablowitz, H

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:28.273874Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

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