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Paper Citation Record · LEDGER

Quantum Grothendieck Polynomials

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:math/0608232.

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

pith.paper-citation-record.v1
math/0608232 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T01:06:20.541079Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-16T20:11:13.308909Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

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

source=pdf_text observed=2026-08-09T01:06:20.541079Z digest=sha256:a77bded166beeb6716efb769b675e0b22763620d04ae2a8c2b378dffefa958d8

Observation e358a6b1-e322-406f-b5b0-74308573eddc · inbound

Schubert defects in Lagrangian Grassmannians cites this paper.

Schubert defects in Lagrangian Grassmannians Quantum Grothendieck Polynomials

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-08T22:55:19.693712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T22:55:19.693712Z digest=sha256:963b1bbc0ab800fe5bed9b270d65e5a3a1377503491b7c2af0d907dfd85da568

Observation c73f500a-b2e6-4a10-8a2d-a5495d60e8d8 · 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 Quantum Grothendieck Polynomials

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-05-16T20:11:13.310966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-16T20:10:16.517351Z digest=sha256:813a7a2e111583efc31a0f978789b7f19bf2ad6c39c8bf7a121dfec8f4efce7c

Observation 00388fea-2ba1-4f91-ac04-c94c1e2a49e3 · 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 Quantum Grothendieck Polynomials

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-05-16T10:37:44.919052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-16T10:36:26.896871Z digest=sha256:235b9e5955b2e1df16127555e2b8c7916692c39716c657a86340e48ac1a615d4