Paper Citation Record · LEDGER

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

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2305.17685.

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

pith.paper-citation-record.v1
2305.17685 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 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 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-03T17:08:43.837539Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
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External citation measurements

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

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

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

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 II: quantum double Grothendieck polynomials

Reference 27

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef9a8a71-8b4d-474e-b058-785cb82e3a1e · inbound

Schubert defects in Lagrangian Grassmannians cites this paper.

Schubert defects in Lagrangian Grassmannians A presentation of the torus-equivariant quantum $K$-theory ring of flag manifolds of type $A$, Part II: quantum double Grothendieck polynomials

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-08T22:55:19.696161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd5f29c6-3cb4-46a4-9cb1-9391384fa8b2 · inbound

Schubert line defects in 3d GLSMs, part I: Complete flag manifolds and quantum Grothendieck polynomials cites this paper.

Schubert line defects in 3d GLSMs, part I: Complete flag manifolds and quantum Grothendieck polynomials A presentation of the torus-equivariant quantum $K$-theory ring of flag manifolds of type $A$, Part II: quantum double Grothendieck polynomials

Reference 43

Resolution: verified exact; arxiv_id, observed 2026-05-16T20:11:13.316908Z

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 fd3f03c4-f96c-42e9-b0c0-1833d93966f8 · inbound

Schubert line defects in 3d GLSMs, part II: Partial flag manifolds and parabolic quantum polynomials cites this paper.

Schubert line defects in 3d GLSMs, part II: Partial flag manifolds and parabolic quantum polynomials A presentation of the torus-equivariant quantum $K$-theory ring of flag manifolds of type $A$, Part II: quantum double Grothendieck polynomials

Reference 43

Resolution: verified exact; arxiv_id, observed 2026-05-16T10:37:44.984170Z

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 d63dc482-4748-4e77-bc1a-df25b8b6dbf8 · inbound

On the Schubert calculus of the quantum K-theory for partial flag manifolds: a 3d A-model perspective cites this paper.

On the Schubert calculus of the quantum K-theory for partial flag manifolds: a 3d A-model perspective A presentation of the torus-equivariant quantum $K$-theory ring of flag manifolds of type $A$, Part II: quantum double Grothendieck polynomials

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-07-03T17:08:43.838988Z

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.