Paper Citation Record · LEDGER

An explicit four-corner dictionary for (2,p) minimal Liouville gravity

As of 16 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2608.08669.

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

pith.paper-citation-record.v1
2608.08669 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:37:11.982087Z

measured 26 of 26 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

26 of 26 outbound references displayed

verified exact7
verified fuzzy3
unresolved16
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bd79d6b2-f46c-4122-9d22-23df7c063f87 · outbound

This paper cites an unresolved cited work.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T04:37:11.844118Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60ab3f3e-27d8-4611-9c6b-92ad9eaa9b39 · outbound

This paper cites an unresolved cited work.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:37:12.469967Z

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

Observation 0dcac5a0-4e6d-418e-a33d-984352b48a8e · outbound

This paper cites an unresolved cited work.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-14T04:37:11.855137Z

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Unavailable: canonical work link unavailable.

Observation 61092e5c-72fc-4543-b72d-c43d154c9015 · outbound

This paper cites Brezin and V.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity Brezin and V

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T04:37:11.860495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a211e3c-5394-4c78-b6ed-2b080d9b35a4 · outbound

This paper cites On periods of primitive integrals, I.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity On periods of primitive integrals, I

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:12.433054Z

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

Observation 77bbae82-0969-4ceb-85ca-2c7d6949a871 · outbound

This paper cites Geometry of 2d topological field theories.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity Geometry of 2d topological field theories

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-14T04:37:11.870498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb84f96f-e62c-40ce-9aab-f45f5311d09e · outbound

This paper cites Minimal Liouville Gravity correlation numbers from Douglas string equation.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity Minimal Liouville Gravity correlation numbers from Douglas string equation

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:37:12.344776Z

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 bb6c7b00-da17-4532-8cb5-fde648326ab8 · outbound

This paper cites Frobenius manifolds, Integrable Hierarchies and Minimal Liouville Gravity.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity Frobenius manifolds, Integrable Hierarchies and Minimal Liouville Gravity

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:37:12.320990Z

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

Observation 535bb5cb-f9bf-4f23-a950-8ab7f05774d6 · outbound

This paper cites Correlation Functions in Unitary Minimal Liouville Gravity and Frobenius Manifolds.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity Correlation Functions in Unitary Minimal Liouville Gravity and Frobenius Manifolds

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:37:12.297738Z

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 a09d08d7-fab6-40cf-bcec-27d9cdfd3f56 · outbound

This paper cites Unitary Minimal Liouville Gravity and Frobenius Manifolds.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity Unitary Minimal Liouville Gravity and Frobenius Manifolds

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:37:12.273233Z

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 dc768c3a-b603-4e07-941b-b49c6635eef6 · outbound

This paper cites an unresolved cited work.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:37:12.416469Z

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 3618e57c-c088-476e-bfc8-733f2ddc154f · outbound

This paper cites On Correlation Numbers in 2D Minimal Gravity and Matrix Models.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity On Correlation Numbers in 2D Minimal Gravity and Matrix Models

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-14T04:37:11.902977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57259d56-7e74-47ac-8e94-d0f51319545b · outbound

This paper cites Invariants of algebraic curves and topological expansion.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity Invariants of algebraic curves and topological expansion

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-14T04:37:11.908476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64a0db50-0768-4996-90a5-27d47d05a1cc · outbound

This paper cites Free energy topological expansion for the 2-matrix model.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity Free energy topological expansion for the 2-matrix model

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T04:37:11.913583Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74babea0-7214-47bb-a497-c18cfe6d4188 · outbound

This paper cites $x-y$ swap for $(2,2p+1)$ minimal string.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity $x-y$ swap for $(2,2p+1)$ minimal string

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:37:12.195622Z

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 13f4e5e3-cb26-4e03-92fb-f6b0291c5878 · outbound

This paper cites Dekinga, S.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity Dekinga, S

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:12.399117Z

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 65810f85-6f65-4ccd-a4ff-0c222b29ad16 · outbound

This paper cites Matrix model approach to minimal Liouville gravity revisited.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity Matrix model approach to minimal Liouville gravity revisited

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T04:37:11.929295Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 174601e7-ff58-4fed-9062-8df3177a91d9 · outbound

This paper cites KP integrability through the $x-y$ swap relation.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity KP integrability through the $x-y$ swap relation

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-14T04:37:11.934396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9751cd5-efc5-4fb1-8310-8e93b0de6212 · outbound

This paper cites Functional relations for higher-order free cumulants.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity Functional relations for higher-order free cumulants

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-14T04:37:11.940010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e289f57-ef64-4725-9101-c6305a800f03 · outbound

This paper cites A simple formula for the $x$-$y$ symplectic transformation in topological recursion.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity A simple formula for the $x$-$y$ symplectic transformation in topological recursion

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T04:37:11.945954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 083c72ef-0893-4f2f-8b3c-65a0c50766a4 · outbound

This paper cites A universal formula for the $x-y$ swap in topological recursion.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity A universal formula for the $x-y$ swap in topological recursion

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T04:37:11.951783Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f456afe-6425-44fd-95a6-4f982431269e · outbound

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

An explicit four-corner dictionary for (2,p) minimal Liouville gravity Partition Functions of Matrix Models as the First Special Functions of String Theory. II. Kontsevich Model

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:37:12.090180Z

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 7aa0d5be-a4d0-4d47-9e01-1f65eb0bd61c · outbound

This paper cites On the construction of the correlation numbers in Minimal Liouville Gravity.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity On the construction of the correlation numbers in Minimal Liouville Gravity

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-14T04:37:11.965782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 953332b0-9d93-47db-bf00-f9ed47b1b9ff · outbound

This paper cites On pq-duality and explicit solutions in $c \le 1$ $2d$ gravity models.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity On pq-duality and explicit solutions in $c \le 1$ $2d$ gravity models

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-14T04:37:11.971020Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe90edd2-bc1a-404c-ac1f-5be6ab06cabd · outbound

This paper cites Topological versus Non--Topological Theories and $p-q$ Duality in $c \le 1$ 2d Gravity Models.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity Topological versus Non--Topological Theories and $p-q$ Duality in $c \le 1$ 2d Gravity Models

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:37:12.030882Z

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 29179fa8-ee8a-4022-a36f-5fb7fa438013 · outbound

This paper cites Alexandrov,Open intersection numbers, kontsevich-penner model and cut-and-join operators,Journal of High Energy Physics2015(Aug., 2015).

An explicit four-corner dictionary for (2,p) minimal Liouville gravity Alexandrov,Open intersection numbers, kontsevich-penner model and cut-and-join operators,Journal of High Energy Physics2015(Aug., 2015)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:12.381620Z

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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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