Paper Citation Record · LEDGER

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model

As of 19 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2608.03366.

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

pith.paper-citation-record.v1
2608.03366 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T20:21:01.588030Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

27 of 27 outbound references displayed

verified exact14
verified fuzzy6
unresolved7
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 343dbefc-2b66-4123-89f3-1fe75861a6ab · outbound

This paper cites an unresolved cited work.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-05T20:21:06.844315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 994edac9-1daa-4389-b726-ccb7b813d4e2 · outbound

This paper cites Method of Generating q-Expansion Coefficients for Conformal Block and N=2 Nekrasov Function by beta-Deformed Matrix Model.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Method of Generating q-Expansion Coefficients for Conformal Block and N=2 Nekrasov Function by beta-Deformed Matrix Model

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-05T20:21:04.831737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c30ac1fe-6955-44fa-96d1-3bbb54d516f0 · outbound

This paper cites Conformal blocks as Dotsenko-Fateev Integral Discriminants.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Conformal blocks as Dotsenko-Fateev Integral Discriminants

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-05T20:20:59.878181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a585be4d-5945-4294-9e0a-3583a30e34f0 · outbound

This paper cites Massive Scaling Limit of beta-Deformed Matrix Model of Selberg Type.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Massive Scaling Limit of beta-Deformed Matrix Model of Selberg Type

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-05T20:21:04.500010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation dd99fa5a-5766-40af-817d-11a1b2636ece · outbound

This paper cites Discrete Painleve system and the double scaling limit of the matrix model for irregular conformal block and gauge theory.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Discrete Painleve system and the double scaling limit of the matrix model for irregular conformal block and gauge theory

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-05T20:21:04.218348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fc629a9c-6aab-418a-9aea-1b1dc56a1166 · outbound

This paper cites Discrete Painleve system for the partition function of $N_f =2$ $SU(2)$ supersymmetric gauge theory and its double scaling limit.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Discrete Painleve system for the partition function of $N_f =2$ $SU(2)$ supersymmetric gauge theory and its double scaling limit

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-05T20:21:03.953670Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2506bbca-9a55-42a7-8b3c-48207652936c · outbound

This paper cites Discrete Painlev´ e sy stem associated with Unitary matrix model,.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Discrete Painlev´ e sy stem associated with Unitary matrix model,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:21:06.634154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9d563148-8a57-4dfb-ac65-05ce03a5d177 · outbound

This paper cites Multicritical points of unitary matrix model with logarithmic potential identified with Argyres-Douglas points.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Multicritical points of unitary matrix model with logarithmic potential identified with Argyres-Douglas points

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-05T20:21:03.671574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2861576e-7c74-4711-b3e6-4044df08c380 · outbound

This paper cites Theory space of one unitary matrix model and its critical behavior associated with Argyres-Douglas theory.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Theory space of one unitary matrix model and its critical behavior associated with Argyres-Douglas theory

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-05T20:21:03.305531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2142a3cc-8685-403d-8fff-cbe2b285d8f2 · outbound

This paper cites Construction of irregular conformal/W block and flavor mass relations of $\mathcal{N}=2$ SUSY gauge theory from the $A_{n-1}$ quiver matrix model.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Construction of irregular conformal/W block and flavor mass relations of $\mathcal{N}=2$ SUSY gauge theory from the $A_{n-1}$ quiver matrix model

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-05T20:21:03.072489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 16fbaa65-bad9-46cc-95ee-e2bd9147a66e · outbound

This paper cites A-D hypersurface of $su(n)$ $\mathcal{N}=2$ supersymmetric gauge theory with $N_f = 2n-2$ flavors.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model A-D hypersurface of $su(n)$ $\mathcal{N}=2$ supersymmetric gauge theory with $N_f = 2n-2$ flavors

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-05T20:21:02.790194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 69246f29-ba92-440a-981c-29605c3c7fcc · outbound

This paper cites Large order behavior near the AD point: the case of $\mathcal{N} =2$, $su(2)$, $N_f =2$.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Large order behavior near the AD point: the case of $\mathcal{N} =2$, $su(2)$, $N_f =2$

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-05T20:21:02.597725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8da1b262-d974-4295-9efa-3867999fea20 · outbound

This paper cites Phases and triple(multiple) point: critical phenomena around the AD singularity.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Phases and triple(multiple) point: critical phenomena around the AD singularity

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-05T20:21:02.422065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9a48ae2d-51c0-4a0e-869b-b36fd4e92a1d · outbound

This paper cites Electric - magnetic duality, monopole c ondensation, and conﬁnement in N=2 supersymmetric Yang-Mills theory,.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Electric - magnetic duality, monopole c ondensation, and conﬁnement in N=2 supersymmetric Yang-Mills theory,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:21:06.418272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0f9bf2a4-82bf-493b-b73f-5b3036716957 · outbound

This paper cites Seiberg-Witten Prepotential From Instanton Counting.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Seiberg-Witten Prepotential From Instanton Counting

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-05T20:21:00.718290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf3b13cf-34cf-40a4-9c13-4a34f59b1aef · outbound

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

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Liouville Correlation Functions from Four-dimensional Gauge Theories

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-05T20:21:00.779262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 925ec6a5-64b3-4e78-a17b-df9011115304 · outbound

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

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Toda Theories, Matrix Models, Topological Strings, and N=2 Gauge Systems

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-05T20:21:02.252575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5a5a1f7d-cf81-4978-890c-741715880677 · outbound

This paper cites The Quiver Matrix Model and 2d-4d Conformal Connection.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model The Quiver Matrix Model and 2d-4d Conformal Connection

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-05T20:21:02.117738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e56bb247-9fe1-4461-b852-0e6217b70495 · outbound

This paper cites Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-05T20:21:01.920562Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 085ee3b7-b23a-411c-8bf1-483d5372c694 · outbound

This paper cites Developments of supersymmetric gauge theory by matrices,.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Developments of supersymmetric gauge theory by matrices,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:21:06.194083Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 717c2285-5d57-4fb8-9f0e-1a3fcd8e8408 · outbound

This paper cites A slow review of the AGT correspondence.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model A slow review of the AGT correspondence

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-05T20:21:01.079236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12c8e52e-bde8-4fca-828b-ac1474667426 · outbound

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

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model New Phenomena in SU(3) Supersymmetric Gauge Theory

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-05T20:21:01.160673Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 695b6ce7-d360-43f7-9c31-b004eabddd71 · outbound

This paper cites New N=2 Superconformal Field Theories in Four Dimensions.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model New N=2 Superconformal Field Theories in Four Dimensions

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-05T20:21:01.230077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b62f276-1f89-469e-9e80-45f838eee6bf · outbound

This paper cites Renormalization Group Flow near the Superconformal Points in N=2 Supersymmetric Gauge Theories.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Renormalization Group Flow near the Superconformal Points in N=2 Supersymmetric Gauge Theories

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-05T20:21:01.733584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ca9c701e-4d96-4fbd-9963-ce09a5a20e90 · outbound

This paper cites Possible third-order phase transit ion in the large- N lattice gauge theory,.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Possible third-order phase transit ion in the large- N lattice gauge theory,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:21:05.956098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f8f8afce-22ab-4961-aac2-2b30d1ac4cb5 · outbound

This paper cites N = ∞ phase transition in a class of exactly soluble model lattice gauge theories,.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model N = ∞ phase transition in a class of exactly soluble model lattice gauge theories,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:21:05.640166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ed5d386a-8905-4ccb-a710-456791fc2740 · outbound

This paper cites Phase Structure of Unitary Matrix Models,.

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model Phase Structure of Unitary Matrix Models,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:21:05.221354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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