Paper Citation Record · LEDGER

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials

As of 9 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2502.03768.

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

pith.paper-citation-record.v1
2502.03768 v3

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T01:06:20.567828Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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 exact9
verified fuzzy2
unresolved16
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External citation measurements

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Outbound references

Observation 1dfb96c3-ad75-4419-860c-733782cfaca9 · outbound

This paper cites Quantum Integrability and Generalised Quantum Schubert Calculus.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Quantum Integrability and Generalised Quantum Schubert Calculus

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-09T01:06:20.435254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1cf696e-b73b-4de0-9c86-4456861f2f4e · outbound

This paper cites 3d N=2 Chern-Simons-matter theory, Bethe ansatz, and quantum K-theory of Grassmannians.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials 3d N=2 Chern-Simons-matter theory, Bethe ansatz, and quantum K-theory of Grassmannians

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-09T01:06:20.441545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 168ecb57-2c63-44a8-a3fe-395b297a8e9b · outbound

This paper cites Quantum cohomology of flag manifolds and Toda lattices.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Quantum cohomology of flag manifolds and Toda lattices

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-09T01:06:21.019385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8e7002e7-240c-4a55-b826-7ac35ad44137 · outbound

This paper cites Quantum K-theory on flag manifolds, finite-difference Toda lattices and quantum groups.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Quantum K-theory on flag manifolds, finite-difference Toda lattices and quantum groups

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-09T01:06:20.997403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9bb64391-97b9-441c-b43a-843a9ab4eb1a · outbound

This paper cites Quantum K-theory of Quiver Varieties and Many-Body Systems.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Quantum K-theory of Quiver Varieties and Many-Body Systems

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-09T01:06:20.458160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef7ad399-f4a0-41cf-8155-7749c418f00b · outbound

This paper cites Quantum cohomology of partial flag manifolds.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Quantum cohomology of partial flag manifolds

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-09T01:06:20.463491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a83cf92-ce6d-4f0b-9a54-9647d3e12a4f · outbound

This paper cites Quantum Cohomology of Partial Flag Manifolds and a Residue Formula for Their Intersection Parings.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Quantum Cohomology of Partial Flag Manifolds and a Residue Formula for Their Intersection Parings

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-09T01:06:20.945007Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 02b06989-659e-4985-840e-76c424475f88 · outbound

This paper cites Quantum K theory rings of partial flag manifolds.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Quantum K theory rings of partial flag manifolds

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-09T01:06:20.475022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9e21e82-4221-443f-a8ca-30b73536847a · outbound

This paper cites Quantum K theory of Grassmannians, Wilson line operators, and Schur bundles.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Quantum K theory of Grassmannians, Wilson line operators, and Schur bundles

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-09T01:06:20.480423Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0c979dd-365e-4187-abf5-f92065a66898 · outbound

This paper cites Quantum K Whitney relations for partial flag varieties.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Quantum K Whitney relations for partial flag varieties

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-09T01:06:20.485799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96cea71c-a715-4b6c-84de-bb3461cd3eb2 · outbound

This paper cites Yang-Baxter equation, symmetric functions and Grothendieck polynomials.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Yang-Baxter equation, symmetric functions and Grothendieck polynomials

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-09T01:06:20.876203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2e6a1dca-47b6-4c17-be5b-075d9ce6c89a · outbound

This paper cites Colored five-vertex models and Lascoux polynomials and atoms.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Colored five-vertex models and Lascoux polynomials and atoms

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-09T01:06:20.857131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4e73556a-05e0-4b75-8407-5490c02f3012 · outbound

This paper cites Double Grothendieck polynomials and colored lattice models.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Double Grothendieck polynomials and colored lattice models

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-09T01:06:20.835074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 776f9521-a9c4-469c-8399-308f174c0798 · outbound

This paper cites Frozen Pipes: Lattice Models for Grothendieck Polynomials.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Frozen Pipes: Lattice Models for Grothendieck Polynomials

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-09T01:06:20.812883Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c99eba93-4bfe-44f5-bbbd-e798fcd125cb · outbound

This paper cites Diagonalisation of GL(N ) invariant transfer matrices and quantum N -wave system (Lee model),.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Diagonalisation of GL(N ) invariant transfer matrices and quantum N -wave system (Lee model),

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T01:06:21.092541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 601bf2c8-583f-4936-9531-62fd5e93a5f6 · outbound

This paper cites Quantum Sheaf Cohomology and Duality of Flag Manifolds.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Quantum Sheaf Cohomology and Duality of Flag Manifolds

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-09T01:06:20.790242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cf8d8438-ed9b-4efd-9a4d-4c3f7f5c1da2 · outbound

This paper cites GLSM's for partial flag manifolds.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials GLSM's for partial flag manifolds

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-09T01:06:20.517513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09d2cd47-a758-4a43-a1eb-a9c9527e7907 · outbound

This paper cites Supersymmetric vacua and Bethe ansatz.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Supersymmetric vacua and Bethe ansatz

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-09T01:06:20.521643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7500e35f-b4d6-4530-8724-02c63eb2a388 · outbound

This paper cites Quantum integrability and supersymmetric vacua.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Quantum integrability and supersymmetric vacua

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-09T01:06:20.526578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0fde1f7a-fdb1-4bfc-9113-4306f6fcab5f · outbound

This paper cites Quantum double Schubert polynomials, quantum Schubert polynomials and Vafa-Intriligator formula.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Quantum double Schubert polynomials, quantum Schubert polynomials and Vafa-Intriligator formula

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-09T01:06:20.531427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95c0add9-7d92-4eac-8a77-6a5b5e1bfcbf · outbound

This paper cites Symmetry and flag manifolds,.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Symmetry and flag manifolds,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T01:06:21.074132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation dbde154b-e28d-46bb-8021-c85db6913f38 · outbound

This paper cites Quantum Grothendieck Polynomials.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Quantum Grothendieck Polynomials

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-09T01:06:20.541079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f029312-db95-4982-877f-9ba9337e4cc9 · outbound

This paper cites A Thom-Porteous formula for connective K-theory using algebraic cobordism.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials A Thom-Porteous formula for connective K-theory using algebraic cobordism

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-09T01:06:20.684473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ff138012-39eb-487a-be28-b31d00e13401 · outbound

This paper cites Quantum cohomology of partial flag manifolds.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Quantum cohomology of partial flag manifolds

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-09T01:06:20.551346Z

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Unavailable: canonical work link unavailable.

Observation 24d17c23-1cc4-4315-9c87-92877f0d4441 · outbound

This paper cites Quantum K-Theory I: Foundations.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials Quantum K-Theory I: Foundations

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-09T01:06:20.556657Z

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Observation fa7b4c30-2d76-4c96-98b9-24a4f39ba299 · outbound

This paper cites A presentation of the torus-equivariant quantum $K$-theory ring of flag manifolds of type $A$, Part I: the defining ideal.

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials A presentation of the torus-equivariant quantum $K$-theory ring of flag manifolds of type $A$, Part I: the defining ideal

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-09T01:06:20.561913Z

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Unavailable: canonical work link unavailable.

Observation 942ef539-f848-442a-9414-cb60bf4f3223 · outbound

This paper cites A presentation of the torus-equivariant quantum $K$-theory ring of flag manifolds of type $A$, Part II: quantum double Grothendieck polynomials.

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-09T01:06:20.567828Z

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Unavailable: canonical work link unavailable.

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