Paper Citation Record · LEDGER

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models

As of 13 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2501.19288.

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

pith.paper-citation-record.v1
2501.19288 v1

Coverage vector

measured 38 of 38 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-09T20:47:41.207967Z

measured 38 of 38 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

38 of 38 outbound references displayed

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External citation measurements

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Outbound references

Observation 62de3848-bfe5-421d-926a-34a030b1f5a8 · outbound

This paper cites Baxter, Exactly Solved Models in Statistical Mechanics , Academic Press (1982).

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Baxter, Exactly Solved Models in Statistical Mechanics , Academic Press (1982)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:47:41.818887Z

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Observation acd25598-bc8b-4f53-894d-3b81a48b45d7 · outbound

This paper cites Nienhuis, Exact critical point and critical exponents of O(n) models in two dimensions , Phys.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Nienhuis, Exact critical point and critical exponents of O(n) models in two dimensions , Phys

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:47:41.805164Z

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Observation 5be1b98e-bb0e-4f20-8a0e-c539c89f5ddd · outbound

This paper cites Nienhuis, H.W.J.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Nienhuis, H.W.J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:47:41.790647Z

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Observation 48b2b010-2134-49e6-828e-cc31855e40d4 · outbound

This paper cites Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-09T20:47:41.056144Z

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Observation 2e109925-093a-4dcc-81c6-b9fa97840058 · outbound

This paper cites Logarithmic Minimal Models.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Logarithmic Minimal Models

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-09T20:47:41.061347Z

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Observation 05e818fe-e397-4e3b-b5a4-080596e7fe4d · outbound

This paper cites Solvable Critical Dense Polymers.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Solvable Critical Dense Polymers

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-09T20:47:41.066219Z

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Observation ec76ff42-1bad-46e5-ba70-83a1efca4fdc · outbound

This paper cites Geometric Exponents, SLE and Logarithmic Minimal Models.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Geometric Exponents, SLE and Logarithmic Minimal Models

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-09T20:47:41.528943Z

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Observation c84d4799-728e-47a4-89e8-967c43a2c446 · outbound

This paper cites Coset Graphs in Bulk and Boundary Logarithmic Minimal Models.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Coset Graphs in Bulk and Boundary Logarithmic Minimal Models

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-09T20:47:41.509644Z

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Observation 566a0957-48ee-4d6d-938d-fd97a996ae49 · outbound

This paper cites Modular invariant partition function of critical dense polymers.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Modular invariant partition function of critical dense polymers

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-09T20:47:41.081063Z

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Observation 450e52df-2436-408f-9c9c-190e5b4e33ba · outbound

This paper cites Fusion hierarchies, T-systems and Y-systems of logarithmic minimal models.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Fusion hierarchies, T-systems and Y-systems of logarithmic minimal models

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-09T20:47:41.085891Z

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Observation 5a3f0213-91c0-4ea9-85ff-096497c472ef · outbound

This paper cites Conformal partition functions of critical percolation from $D_3$ Thermodynamic Bethe Ansatz equations.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Conformal partition functions of critical percolation from $D_3$ Thermodynamic Bethe Ansatz equations

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-09T20:47:41.463270Z

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Observation 3cb4f59a-ce27-40e0-8c11-824b97b8671f · outbound

This paper cites Conformal boundary conditions in the critical O(n) model and dilute loop models.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Conformal boundary conditions in the critical O(n) model and dilute loop models

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-09T20:47:41.442961Z

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Observation 8c0236c9-cb63-4be5-8401-daa208f0a59f · outbound

This paper cites Geometric Exponents of Dilute Logarithmic Minimal Models.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Geometric Exponents of Dilute Logarithmic Minimal Models

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-09T20:47:41.422868Z

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Observation 03a1779d-bdb8-4101-8578-1468fa3e36ac · outbound

This paper cites Garbali, Dilute O(1) loop model on a strip and the qKZ equations , Master Thesis, University of Amsterdam (2012).

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Garbali, Dilute O(1) loop model on a strip and the qKZ equations , Master Thesis, University of Amsterdam (2012)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:47:41.776239Z

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Observation 52ee75da-2ada-4e3f-b1ca-5613cef0fac8 · outbound

This paper cites Currents in the dilute $O(n=1)$ model.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Currents in the dilute $O(n=1)$ model

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-09T20:47:41.403392Z

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Observation 134eab25-87d8-49f0-9a51-38badc05c4b1 · outbound

This paper cites The dilute Temperley-Lieb O($n=1$) loop model on a semi infinite strip: the ground state.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models The dilute Temperley-Lieb O($n=1$) loop model on a semi infinite strip: the ground state

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-09T20:47:41.382359Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 936b9d50-a842-4060-933b-1477ec387f8b · outbound

This paper cites Fusion hierarchies, $T$-systems and $Y$-systems for the dilute $A_2^{(2)}$ loop models.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Fusion hierarchies, $T$-systems and $Y$-systems for the dilute $A_2^{(2)}$ loop models

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-09T20:47:41.363658Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3bfc84dc-7e3b-4b76-a305-96075a3d50e3 · outbound

This paper cites Critical site percolation on the triangular lattice: From integrability to conformal partition functions.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Critical site percolation on the triangular lattice: From integrability to conformal partition functions

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-09T20:47:41.343569Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 917c9ecd-5c8e-4fc1-8b13-1cd947205925 · outbound

This paper cites Di Francesco, P.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Di Francesco, P

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:47:41.761880Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e714e5d7-694d-40fc-b92a-bf5c8bbf2370 · outbound

This paper cites Moore, N.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Moore, N

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:47:41.747522Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0ae8a34f-e6fc-4522-ab3d-0c2d31b5a377 · outbound

This paper cites Logarithmic Operators in Conformal Field Theory.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Logarithmic Operators in Conformal Field Theory

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-09T20:47:41.136097Z

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Observation 9e68973a-5a29-4830-b324-b642952d9d4b · outbound

This paper cites Gainutdinov, D.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Gainutdinov, D

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:47:41.733592Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bea74735-cbfc-4a25-a468-abf6b4177735 · outbound

This paper cites Belavin, A.M.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Belavin, A.M

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:47:41.719332Z

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Observation 32205050-a3c9-47be-9f0e-4fc9745d0934 · outbound

This paper cites Andrews, R.J.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Andrews, R.J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:47:41.703316Z

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Observation 2468e7d4-b523-4c1b-bb00-2f3a1469560a · outbound

This paper cites Forrester, R.J.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Forrester, R.J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:47:41.689069Z

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Observation 2f79db32-6ce3-42a6-b400-57e2a8e39a7a · outbound

This paper cites Di Francesco, H.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Di Francesco, H

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:47:41.674368Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b1156653-5562-45e2-8ee4-99e5bcf16cda · outbound

This paper cites Di Francesco, H.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Di Francesco, H

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:47:41.660135Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8a385931-218c-40cf-ad10-93209df5f11c · outbound

This paper cites Levy, Algebraic structure of translation-invariant spin- 1 2 XXZ and q-Potts quantum chains , Phys.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Levy, Algebraic structure of translation-invariant spin- 1 2 XXZ and q-Potts quantum chains , Phys

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:47:41.645408Z

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Observation 91e10f02-452a-4bfa-b48c-a954cf7eb9bb · outbound

This paper cites On an algebraic approach to higher dimensional statistical mechanics.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models On an algebraic approach to higher dimensional statistical mechanics

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-09T20:47:41.168560Z

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Observation 2db16607-304d-4248-bebf-874e2fd7cdf9 · outbound

This paper cites Graham, G.I.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Graham, G.I

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-09T20:47:41.173107Z

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Observation 5ea903ef-f332-4cbc-82e7-85028d223538 · outbound

This paper cites Solvable Critical Dense Polymers on the Cylinder.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Solvable Critical Dense Polymers on the Cylinder

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-09T20:47:41.177490Z

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Unavailable: canonical work link unavailable.

Observation da848dfa-5215-46ec-b1a0-6bcd62be8880 · outbound

This paper cites Eigenvalue amplitudes of the Potts model on a torus.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Eigenvalue amplitudes of the Potts model on a torus

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-09T20:47:41.181906Z

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Unavailable: canonical work link unavailable.

Observation 93f69329-7096-4c4f-ae69-26825a672e68 · outbound

This paper cites Kim, P.A.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Kim, P.A

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:47:41.622725Z

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Observation 68db0e66-0cf7-445d-a0fd-0711b10663b0 · outbound

This paper cites Exact spectra of conformal supersymmetric nonlinear sigma models in two dimensions.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Exact spectra of conformal supersymmetric nonlinear sigma models in two dimensions

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-09T20:47:41.265228Z

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Observation 814bdd0c-1ca6-4728-95f0-ececd3c86ccc · outbound

This paper cites The sl_2 loop algebra symmetry of the six-vertex model at roots of unity.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models The sl_2 loop algebra symmetry of the six-vertex model at roots of unity

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-09T20:47:41.195156Z

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Observation 3ac11943-857c-4a0d-9e33-d619cb55cb1f · outbound

This paper cites Pasquier, H.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Pasquier, H

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-09T20:47:41.199621Z

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Observation 0ffa1430-244b-4248-8240-fcd328b8a417 · outbound

This paper cites Gaberdiel, I.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Gaberdiel, I

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:47:41.599877Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c452f1fb-24f5-44f2-b769-9f70f6ed2935 · outbound

This paper cites an unresolved cited work.

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:47:41.585947Z

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