Paper Citation Record · LEDGER

Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams

As of 22 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2506.21052.

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

pith.paper-citation-record.v1
2506.21052 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:50:43.009208Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

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Source: cited_works

Reference resolution

17 of 17 outbound references displayed

verified exact1
verified fuzzy16
unresolved0
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malformed identifier0
metadata mismatch0

External citation measurements

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Outbound references

Observation d0608855-db36-4955-b879-1c1b2f9c7a37 · outbound

This paper cites RC-graphs and Schubert polynomials.

Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams RC-graphs and Schubert polynomials

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:50:45.833769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 40303b70-d59e-4b00-b974-3bb6a25b8bb6 · outbound

This paper cites Schubert polynomials, the Bruhat order, and the geometry of flag manifolds.

Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams Schubert polynomials, the Bruhat order, and the geometry of flag manifolds

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:50:45.506330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d499f339-ef1b-4072-b12d-5706027f3382 · outbound

This paper cites The Yang–Baxter equation, symmetric func- tions, and Schubert polynomials.

Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams The Yang–Baxter equation, symmetric func- tions, and Schubert polynomials

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:50:45.207338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e0f0f66a-93e0-4e62-ba77-75cc03b0b51a · outbound

This paper cites Kirillov.

Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams Kirillov

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:50:45.091388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3dcaf6fb-a12b-4ad3-b1c7-2d15b61ea391 · outbound

This paper cites Young tableaux: with applications to representation theory and ge- ometry.

Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams Young tableaux: with applications to representation theory and ge- ometry

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:50:44.960301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d707f085-30c8-4ee6-9c51-4bcda9a3e937 · outbound

This paper cites Principal specializations of Schubert polynomials and pattern containment.

Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams Principal specializations of Schubert polynomials and pattern containment

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:50:44.798961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 16e335b0-80d9-4db6-a1c3-6a1bdd3db8c6 · outbound

This paper cites Derivatives of Schubert polynomials and proof of a determinant conjecture of Stanley.

Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams Derivatives of Schubert polynomials and proof of a determinant conjecture of Stanley

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:50:44.669188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ed3abd40-08e8-485b-81a0-f5e12f43ff14 · outbound

This paper cites Gr¨ obner geometry of Schubert polynomials.

Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams Gr¨ obner geometry of Schubert polynomials

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:50:44.523797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9c8103d1-73c4-4ef8-94e2-2dc7bc75c015 · outbound

This paper cites Classes de Chern des vari´ et´ es de drapeaux.

Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams Classes de Chern des vari´ et´ es de drapeaux

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:50:44.368127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a85a805e-377e-4b2f-95b8-416b273905e0 · outbound

This paper cites Polynˆ omes de Schubert.

Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams Polynˆ omes de Schubert

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:50:44.195311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c1a53779-51ac-481e-942a-842db1824d0d · outbound

This paper cites Structure de Hopf de l’anneau de cohomologie et de l’anneau de Grothendieck d’une vari´ et´ e de drapeaux.

Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams Structure de Hopf de l’anneau de cohomologie et de l’anneau de Grothendieck d’une vari´ et´ e de drapeaux

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:50:44.097582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 08903fa9-3720-4ed0-adf7-517e11bc21ad · outbound

This paper cites Symmetry and flag manifolds.

Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams Symmetry and flag manifolds

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:50:43.925604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0845c4aa-4026-419f-b637-9c583741e8bd · outbound

This paper cites Notes on Schubert polynomials.

Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams Notes on Schubert polynomials

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:50:43.800742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3170693e-36e9-41bc-99fd-7992d322a506 · outbound

This paper cites Schubert polynomial expansions revisited.

Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams Schubert polynomial expansions revisited

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-06T22:50:43.152551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 839c1e6f-1fe4-4697-b11b-7b6c2eaea52a · outbound

This paper cites Castelnuovo–Mumford regu- larity of matrix Schubert varieties.

Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams Castelnuovo–Mumford regu- larity of matrix Schubert varieties

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:50:43.614028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 86f50996-ad2f-46f9-bb2a-5ff16fafeddd · outbound

This paper cites On the number of reduced decompositions of elements of Coxeter groups.

Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams On the number of reduced decompositions of elements of Coxeter groups

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:50:43.467421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8ae4252a-4b5a-4886-a427-f9424adba215 · outbound

This paper cites Mitosis algorithm for Grothendieck polynomials.

Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams Mitosis algorithm for Grothendieck polynomials

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:50:43.304383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

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