Paper Citation Record · LEDGER

Set-valued Rothe Tableaux and Grothendieck Polynomials

As of 16 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:1908.04164.

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

pith.paper-citation-record.v1
1908.04164 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:00:28.601701Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:08:00.974829Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T05:08:01.027912Z

Reference resolution

32 of 32 outbound references displayed

verified exact1
verified fuzzy28
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d5d428bd-e2a6-4f06-939e-601bdd17d754 · outbound

This paper cites K-classes of Brill-Noether loci and a determinantal formula.

Set-valued Rothe Tableaux and Grothendieck Polynomials K-classes of Brill-Noether loci and a determinantal formula

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:00:28.808851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation efc4b35c-ae6a-44fb-a4a8-cb65fe0adfa6 · outbound

This paper cites Assaf, Combinatorial models for Schubert polynomials, arXiv:1 703.00088v1.

Set-valued Rothe Tableaux and Grothendieck Polynomials Assaf, Combinatorial models for Schubert polynomials, arXiv:1 703.00088v1

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.812527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 697f7a09-3b82-49e8-b19a-77a68e222557 · outbound

This paper cites Assaf and D.

Set-valued Rothe Tableaux and Grothendieck Polynomials Assaf and D

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.783583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dd5829e3-f2c0-40b7-9630-fe019482aa00 · outbound

This paper cites Bergeron and S.

Set-valued Rothe Tableaux and Grothendieck Polynomials Bergeron and S

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.748617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2d3ca402-fe41-4763-9ab7-7b459a9a2179 · outbound

This paper cites Bergeron and F.

Set-valued Rothe Tableaux and Grothendieck Polynomials Bergeron and F

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.721925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7fd7a18a-9963-4831-aedb-35606a20e0d6 · outbound

This paper cites Billey, W.

Set-valued Rothe Tableaux and Grothendieck Polynomials Billey, W

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.672454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b29ddaa6-d884-4663-8cb9-0445d894fe65 · outbound

This paper cites Buch, A Littlewood-Richardson rule for the K-theory of Grassmannians, Acta Math.

Set-valued Rothe Tableaux and Grothendieck Polynomials Buch, A Littlewood-Richardson rule for the K-theory of Grassmannians, Acta Math

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.639031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 088ef47d-7626-47d1-a69f-53d1d597ea47 · outbound

This paper cites Buch and R.

Set-valued Rothe Tableaux and Grothendieck Polynomials Buch and R

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.601031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b59680a1-7775-4b15-9979-6664590311f5 · outbound

This paper cites Chen, G.-G.

Set-valued Rothe Tableaux and Grothendieck Polynomials Chen, G.-G

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.544347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7ad890f2-e60c-4b7b-97ec-b60733b23a84 · outbound

This paper cites Eriksson and S.

Set-valued Rothe Tableaux and Grothendieck Polynomials Eriksson and S

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.482746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4d2b3062-7b9d-4624-8893-07499873eece · outbound

This paper cites Fomin, C.

Set-valued Rothe Tableaux and Grothendieck Polynomials Fomin, C

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.449684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a64087af-16b2-4fdf-ab4b-d654daa38236 · outbound

This paper cites Fomin and A.N.

Set-valued Rothe Tableaux and Grothendieck Polynomials Fomin and A.N

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.419244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 55ea0fe6-2ca0-4927-8d06-b3a0df06aff3 · outbound

This paper cites Fomin and A.

Set-valued Rothe Tableaux and Grothendieck Polynomials Fomin and A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.384519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c9715279-a221-423b-9e99-2d1f244d3edd · outbound

This paper cites Fomin and R.P.

Set-valued Rothe Tableaux and Grothendieck Polynomials Fomin and R.P

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.361601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 38b40f6d-b195-4e09-8d69-687cb3f1fbd2 · outbound

This paper cites Knutson and E.

Set-valued Rothe Tableaux and Grothendieck Polynomials Knutson and E

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.319083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b3b56c58-f466-4b3b-897d-bdfe20d3b282 · outbound

This paper cites Knutson and E.

Set-valued Rothe Tableaux and Grothendieck Polynomials Knutson and E

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-14T14:00:28.457016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a23d690a-1d7b-4c75-b490-8e2cda2cf6d9 · outbound

This paper cites Knutson, E.

Set-valued Rothe Tableaux and Grothendieck Polynomials Knutson, E

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.275069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e7234387-d1cf-4b38-a2db-18542448699a · outbound

This paper cites Knutson, E.

Set-valued Rothe Tableaux and Grothendieck Polynomials Knutson, E

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.240360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ff6d8151-051c-4396-895a-da09fb71fc5e · outbound

This paper cites Back stable Schubert calculus.

Set-valued Rothe Tableaux and Grothendieck Polynomials Back stable Schubert calculus

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-14T14:00:28.484056Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60e4059c-3965-4e85-bf9e-70c387330eb4 · outbound

This paper cites Lascoux and M.-P.

Set-valued Rothe Tableaux and Grothendieck Polynomials Lascoux and M.-P

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.205615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 54e72859-3d2d-48b5-837c-4010581eec1a · outbound

This paper cites Lascoux and M.-P.

Set-valued Rothe Tableaux and Grothendieck Polynomials Lascoux and M.-P

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.185725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 43a6c75a-a840-46f4-91c5-4c6773870c91 · outbound

This paper cites Lenart, S.

Set-valued Rothe Tableaux and Grothendieck Polynomials Lenart, S

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.139310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ba68a349-c119-46ab-b7bd-fb09e5815670 · outbound

This paper cites Macdonald, Notes on Schubert Polynomials, Laboratoire de combinatoire et d’informatique math´ ematique (LACIM), Universit´ e du Qu´ ebec ´ aMontr´ eal, Mon- treal, 1991.

Set-valued Rothe Tableaux and Grothendieck Polynomials Macdonald, Notes on Schubert Polynomials, Laboratoire de combinatoire et d’informatique math´ ematique (LACIM), Universit´ e du Qu´ ebec ´ aMontr´ eal, Mon- treal, 1991

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.097561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 116ff06d-7c37-4821-9ae7-b26090099cde · outbound

This paper cites Matsumura, A tableau formula of double Grothendieck polyno mials for 321- avoiding permutations, Ann.

Set-valued Rothe Tableaux and Grothendieck Polynomials Matsumura, A tableau formula of double Grothendieck polyno mials for 321- avoiding permutations, Ann

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.072547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ea1fc131-0710-4425-b4a3-76275466c8fa · outbound

This paper cites Matsumura, Flagged Grothendieck polynomials, J.

Set-valued Rothe Tableaux and Grothendieck Polynomials Matsumura, Flagged Grothendieck polynomials, J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.047540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d7c3ea82-843d-4bf3-b135-724f8816dffd · outbound

This paper cites Factorial Flagged Grothendieck Polynomials.

Set-valued Rothe Tableaux and Grothendieck Polynomials Factorial Flagged Grothendieck Polynomials

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-14T14:00:28.553225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29f53158-487a-46be-b830-7e75f02abdf8 · outbound

This paper cites Miller and B.

Set-valued Rothe Tableaux and Grothendieck Polynomials Miller and B

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:29.020905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 94077584-45c2-4b60-83e2-73cd48d9ccee · outbound

This paper cites Stankova, Classiﬁcation of forbidden subsequences of leng th 4, European J.

Set-valued Rothe Tableaux and Grothendieck Polynomials Stankova, Classiﬁcation of forbidden subsequences of leng th 4, European J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:28.988712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4c7fead4-13e7-4759-9b3e-fe3258da89ec · outbound

This paper cites Stanley, Combinatorics and Commutative Algebra, Second E dition, Progress in Mathematics, 41.

Set-valued Rothe Tableaux and Grothendieck Polynomials Stanley, Combinatorics and Commutative Algebra, Second E dition, Progress in Mathematics, 41

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:28.947815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6f4e0688-31a6-4ae6-a3e4-916ca1abc3d1 · outbound

This paper cites Wachs, Flagged Schur functions, Schubert polynomials, and symmetrizing op- erators, J.

Set-valued Rothe Tableaux and Grothendieck Polynomials Wachs, Flagged Schur functions, Schubert polynomials, and symmetrizing op- erators, J

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:28.922259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e260950a-b388-460b-91f6-311793e928a2 · outbound

This paper cites Weigandt and A.

Set-valued Rothe Tableaux and Grothendieck Polynomials Weigandt and A

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:28.876465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 54932295-7e31-425f-b176-cf5ba52b8a97 · outbound

This paper cites Winkel, Diagram rules for the generation of Schubert polynom ials, J.

Set-valued Rothe Tableaux and Grothendieck Polynomials Winkel, Diagram rules for the generation of Schubert polynom ials, J

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:00:28.847255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

Observation 678b8f74-23a4-4b14-a9eb-fea1527783f9 · inbound

Integrability approach to Feher-Nemethi-Rimanyi-Guo-Sun type identities for factorial Grothendieck polynomials cites this paper.

Integrability approach to Feher-Nemethi-Rimanyi-Guo-Sun type identities for factorial Grothendieck polynomials Set-valued Rothe Tableaux and Grothendieck Polynomials

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:08:01.035986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.