Paper Citation Record · LEDGER

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches

As of 17 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2607.28043.

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

pith.paper-citation-record.v1
2607.28043 v1

Coverage vector

measured 34 of 34 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T15:27:39.505293Z

measured 34 of 34 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

34 of 34 outbound references displayed

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Outbound references

Observation 8b08b76b-e27a-49e6-bbfd-4f05b61307ed · outbound

This paper cites Spin generalization of the Ruijsenaars-Schneider model, non-abelian 2D Toda chain and representations of Sklyanin algebra.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Spin generalization of the Ruijsenaars-Schneider model, non-abelian 2D Toda chain and representations of Sklyanin algebra

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:39.376722Z

Source-reported events for the cited work

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Observation 1bb24063-cede-49c8-bc7a-17e1008750b0 · outbound

This paper cites Reshetikhin,Degenerately integrable systems,Journal of Mathematical Sciences213 (2016) 769 [50900730].

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Reshetikhin,Degenerately integrable systems,Journal of Mathematical Sciences213 (2016) 769 [50900730]

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:27:40.068583Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 93797648-49b4-4890-b547-842fcf8246d5 · outbound

This paper cites Spin Ruijsenaars-Schneider models are Coulomb branches.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Spin Ruijsenaars-Schneider models are Coulomb branches

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:27:39.998363Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6aa8ad34-75ee-434e-b266-584571ab0709 · outbound

This paper cites Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories, II.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories, II

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:39.389895Z

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Observation 9f618b68-05cb-4d4a-ba24-59891bcc1f80 · outbound

This paper cites Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories, I.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories, I

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:39.393934Z

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Observation 8f1cf673-2743-4aa8-bb06-9e414177aced · outbound

This paper cites Coulomb branches of $3d$ $\mathcal N=4$ quiver gauge theories and slices in the affine Grassmannian (with appendices by Alexander Braverman, Michael Finkelberg, Joel Kamnitzer, Ryosuke Kodera, Hiraku Nakajima, Ben Webster, and Alex Weekes).

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Coulomb branches of $3d$ $\mathcal N=4$ quiver gauge theories and slices in the affine Grassmannian (with appendices by Alexander Braverman, Michael Finkelberg, Joel Kamnitzer, Ryosuke Kodera, Hiraku Nakajima, Ben Webster, and Alex Weekes)

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:39.398012Z

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Observation f57ca910-2f1b-4e90-ab88-a7c55fa22832 · outbound

This paper cites Difference operators via GKLO-type homomorphisms: shuffle approach and application to quantum Q-systems.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Difference operators via GKLO-type homomorphisms: shuffle approach and application to quantum Q-systems

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:27:39.949477Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2ff1ec60-1deb-466c-aa1d-bafec30e7bd8 · outbound

This paper cites The Coulomb Branch of 3d $\mathcal{N}=4$ Theories.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches The Coulomb Branch of 3d $\mathcal{N}=4$ Theories

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:39.406070Z

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Observation f8cfd703-c3be-4812-b2a2-0207732c109e · outbound

This paper cites Wilson-'t Hooft lines as transfer matrices.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Wilson-'t Hooft lines as transfer matrices

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:27:39.922342Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b54b9ad2-61dc-45ec-a956-dde914c28d94 · outbound

This paper cites Quantization of Drinfeld Zastava in type A.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Quantization of Drinfeld Zastava in type A

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:39.414486Z

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Observation 9c967765-7ab4-49c7-a88b-55790c5636ad · outbound

This paper cites Cherkis bow varieties and Coulomb branches of quiver gauge theories of affine type $A$.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Cherkis bow varieties and Coulomb branches of quiver gauge theories of affine type $A$

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:39.418377Z

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Observation c400acf6-0d76-46ac-938f-929e2a63934f · outbound

This paper cites Shifted quantum affine algebras: integral forms in type $A$ (with appendices by Alexander Tsymbaliuk and Alex Weekes).

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Shifted quantum affine algebras: integral forms in type $A$ (with appendices by Alexander Tsymbaliuk and Alex Weekes)

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:27:39.887333Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2bb4d43d-e0b8-4629-9d83-ec724bc3da33 · outbound

This paper cites Zenkevich,Wall crossing, string networks and quantum toroidal algebras,2512.24988.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Zenkevich,Wall crossing, string networks and quantum toroidal algebras,2512.24988

Reference 13

Resolution: verified exact; raw_fallback, observed 2026-08-15T15:27:39.869423Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a1e427c1-bb79-4348-9dde-cc3ea05e9af0 · outbound

This paper cites Quantum toroidal algebras and solvable structures in gauge/string theory.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Quantum toroidal algebras and solvable structures in gauge/string theory

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:39.429239Z

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Unavailable: canonical work link unavailable.

Observation 02f2d889-081e-460c-b898-0ca330810bc0 · outbound

This paper cites Quantized Quiver Varieties and the Quantum Spin Ruijsenaars-Schneider Model.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Quantized Quiver Varieties and the Quantum Spin Ruijsenaars-Schneider Model

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:27:39.781387Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4f344600-029d-4689-9b5b-8a1091fae711 · outbound

This paper cites On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:39.436576Z

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Observation 980c8cd1-b935-4328-b786-7602836bb2e4 · outbound

This paper cites Trigonometric real form of the spin RS model of Krichever and Zabrodin.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Trigonometric real form of the spin RS model of Krichever and Zabrodin

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:39.440458Z

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Observation d7f899a0-14d9-404d-bb8a-59f9460061a0 · outbound

This paper cites Hyperbolic spin Ruijsenaars-Schneider model from Poisson reduction.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Hyperbolic spin Ruijsenaars-Schneider model from Poisson reduction

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:39.444441Z

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Observation e81ad6ce-2758-4cbf-bb91-8c314c430215 · outbound

This paper cites Fairon,Integrable systems on multiplicative quiver varieties from cyclic quivers,Journal of Physics A: Mathematical and Theoretical58(2025) 045202 [2108.02496].

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Fairon,Integrable systems on multiplicative quiver varieties from cyclic quivers,Journal of Physics A: Mathematical and Theoretical58(2025) 045202 [2108.02496]

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:39.448355Z

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Observation 57918a41-4ce7-4969-9f74-b33279558157 · outbound

This paper cites Yang-Baxter equation in spin chains with long range interactions.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Yang-Baxter equation in spin chains with long range interactions

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:39.451935Z

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Unavailable: canonical work link unavailable.

Observation 672f8651-6e8b-4495-9236-d2946e7101f1 · outbound

This paper cites Cherednik,Induced representations of double affine Hecke algebras and applications,Math.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Cherednik,Induced representations of double affine Hecke algebras and applications,Math

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:27:40.057158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a0cbabca-90c8-4808-880b-a1429bb93c46 · outbound

This paper cites The trigonometric counterpart of the Haldane Shastry Model.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches The trigonometric counterpart of the Haldane Shastry Model

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:27:39.651627Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 72fbc5c5-f222-4a45-9674-03c9b0393aac · outbound

This paper cites Spin-Ruijsenaars, q-deformed Haldane-Shastry and Macdonald polynomials.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Spin-Ruijsenaars, q-deformed Haldane-Shastry and Macdonald polynomials

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:39.463857Z

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Observation 72ca3101-f5bb-4738-a691-dad900ebfb0d · outbound

This paper cites The deformed Inozemtsev spin chain.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches The deformed Inozemtsev spin chain

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:27:39.623766Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6d969c07-61e7-4d0f-9b90-a69ccc8c250c · outbound

This paper cites Inozemtsev,On the connection between the one-dimensional S=1/2 Heisenberg chain and Haldane-Shastry model,Journal of statistical physics59(1990) 1143.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Inozemtsev,On the connection between the one-dimensional S=1/2 Heisenberg chain and Haldane-Shastry model,Journal of statistical physics59(1990) 1143

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:27:40.045084Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9f77bd30-b098-4a68-b34b-43158ecbc03f · outbound

This paper cites Planar N=4 gauge theory and the Inozemtsev long range spin chain.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Planar N=4 gauge theory and the Inozemtsev long range spin chain

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:39.475439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd52445c-1334-4406-8148-0ab96ba01f0c · outbound

This paper cites Serban,Integrability and the AdS/CFT correspondence,Journal of Physics A: Mathematical and Theoretical44(2011) 124001.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Serban,Integrability and the AdS/CFT correspondence,Journal of Physics A: Mathematical and Theoretical44(2011) 124001

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:27:40.033201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b9b2cb2f-72a1-4a75-ab2d-9e2761da2026 · outbound

This paper cites Quantum Trace Formulae for the Integrals of the Hyperbolic Ruijsenaars-Schneider model.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Quantum Trace Formulae for the Integrals of the Hyperbolic Ruijsenaars-Schneider model

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:39.482479Z

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Unavailable: canonical work link unavailable.

Observation 34dbe896-beb9-4b19-bb82-f7b97b64979f · outbound

This paper cites Molev,Yangians and Classical Lie Algebras, American Mathematical Society (2007).

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Molev,Yangians and Classical Lie Algebras, American Mathematical Society (2007)

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:27:40.021734Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3f7d33ee-3e4b-46a3-ba34-cce7ea726790 · outbound

This paper cites Wreath Macdonald polynomials as eigenstates.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Wreath Macdonald polynomials as eigenstates

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:27:39.589292Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b5827e2a-d0d1-427a-ba1e-58d53544d080 · outbound

This paper cites Koszul duality between Higgs and Coulomb categories $\mathcal{O}$.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Koszul duality between Higgs and Coulomb categories $\mathcal{O}$

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:39.493115Z

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Observation 5af63a2e-25ec-43ae-b60f-a59fccc8a024 · outbound

This paper cites Coherent sheaves and quantum Coulomb branches II: quiver gauge theories and knot homology.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Coherent sheaves and quantum Coulomb branches II: quiver gauge theories and knot homology

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:39.497651Z

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Observation 779ae70a-9cd6-4944-a264-08c10b1da85c · outbound

This paper cites Schur Quantization and Complex Chern-Simons theory.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Schur Quantization and Complex Chern-Simons theory

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:39.501376Z

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Unavailable: canonical work link unavailable.

Observation f2a7cb70-1ea3-4427-b049-981fa6f2e4ff · outbound

This paper cites Elliptic zastava.

Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches Elliptic zastava

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:27:39.541549Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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