Paper Citation Record · LEDGER

Colored five-vertex models and Lascoux polynomials and atoms

As of 16 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 2 inbound Pith citation observations for arXiv:1908.07364.

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

pith.paper-citation-record.v1
1908.07364 v2

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:33:37.233589Z

measured 48 of 48 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:08:00.864744Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-09T01:06:20.852085Z

Reference resolution

46 of 46 outbound references displayed

verified exact4
verified fuzzy23
unresolved19
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External citation measurements

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Outbound references

Observation ab15c07a-78dd-47bb-a782-9566027a3045 · outbound

This paper cites an unresolved cited work.

Colored five-vertex models and Lascoux polynomials and atoms Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T12:33:34.776890Z

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Observation 0a78d984-0fdc-41f8-9eb6-1eefe9143c9f · outbound

This paper cites Combinatorics of C oxeter groups , volume 231 of Graduate Texts in Mathematics.

Colored five-vertex models and Lascoux polynomials and atoms Combinatorics of C oxeter groups , volume 231 of Graduate Texts in Mathematics

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T12:33:34.793427Z

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Observation 9f99ce23-a234-43db-8b54-a1024f17c745 · outbound

This paper cites Colored Vertex Models and Iwahori Whittaker Functions.

Colored five-vertex models and Lascoux polynomials and atoms Colored Vertex Models and Iwahori Whittaker Functions

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:33:38.246338Z

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Observation 594cb8fb-5d5f-4f68-a9c6-f0d3077927f1 · outbound

This paper cites Colored five-vertex models and Demazure atoms.

Colored five-vertex models and Lascoux polynomials and atoms Colored five-vertex models and Demazure atoms

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:33:37.975278Z

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

Observation aace6673-59b4-483b-b2b7-f54411f0c4a5 · outbound

This paper cites On a family of symmetric rational functions.

Colored five-vertex models and Lascoux polynomials and atoms On a family of symmetric rational functions

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:43.018505Z

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Observation af2a9275-73b9-4d32-9aa2-efa20b063add · outbound

This paper cites Higher spin six vertex model and symmetric rational functions.

Colored five-vertex models and Lascoux polynomials and atoms Higher spin six vertex model and symmetric rational functions

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:42.965634Z

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Observation c55320f3-664b-4372-ab6f-52668076f0e2 · outbound

This paper cites Crystal bases.

Colored five-vertex models and Lascoux polynomials and atoms Crystal bases

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T12:33:35.212688Z

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Observation b84484a1-16c3-4bbc-9151-f9be3e54cacf · outbound

This paper cites A L ittlewood- R ichardson rule for the K -theory of G rassmannians.

Colored five-vertex models and Lascoux polynomials and atoms A L ittlewood- R ichardson rule for the K -theory of G rassmannians

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:42.727177Z

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Observation 31fa7a50-3d7a-4fba-ba51-37c9ad70081e · outbound

This paper cites Coloured stochastic vertex models and their spectral theory.

Colored five-vertex models and Lascoux polynomials and atoms Coloured stochastic vertex models and their spectral theory

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-14T12:33:35.240128Z

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Observation 6468af96-5836-4e2f-a1f2-c0267ec64741 · outbound

This paper cites Nonsymmetric Macdonald polynomials via integrable vertex models.

Colored five-vertex models and Lascoux polynomials and atoms Nonsymmetric Macdonald polynomials via integrable vertex models

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:33:37.637784Z

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

Observation 37fa2fd8-6c32-426a-9c91-959c41a0b30a · outbound

This paper cites Stochastic higher spin vertex models on the line.

Colored five-vertex models and Lascoux polynomials and atoms Stochastic higher spin vertex models on the line

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:42.515529Z

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

Observation 9f1abf2a-12c6-4002-838f-e04ecbe7725d · outbound

This paper cites Representation theory , volume 129 of Graduate Texts in Mathematics.

Colored five-vertex models and Lascoux polynomials and atoms Representation theory , volume 129 of Graduate Texts in Mathematics

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-14T12:33:35.386892Z

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Observation 1e040a23-2396-41a5-acca-64c4a6a688f0 · outbound

This paper cites Kirillov.

Colored five-vertex models and Lascoux polynomials and atoms Kirillov

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:42.164925Z

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

Observation 33931218-472f-4975-98c7-72ace0efb7eb · outbound

This paper cites Humphreys.

Colored five-vertex models and Lascoux polynomials and atoms Humphreys

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T12:33:35.574377Z

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Observation 3d7b2c5e-2d01-4960-9245-2297d0b581a1 · outbound

This paper cites K -theoretic analogues of factorial S chur P - and Q -functions.

Colored five-vertex models and Lascoux polynomials and atoms K -theoretic analogues of factorial S chur P - and Q -functions

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T12:33:35.685307Z

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Unavailable: canonical work link unavailable.

Observation 78db1894-1b9f-48f7-b71b-5ff614cd2978 · outbound

This paper cites A proof of K -theoretic L ittlewood- R ichardson rules by B ender- K nuth-type involutions.

Colored five-vertex models and Lascoux polynomials and atoms A proof of K -theoretic L ittlewood- R ichardson rules by B ender- K nuth-type involutions

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:41.884836Z

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

Observation 6277588d-9bb4-417a-8c52-e86d807affb5 · outbound

This paper cites Grothendieck polynomials and the Boson-Fermion correspondence.

Colored five-vertex models and Lascoux polynomials and atoms Grothendieck polynomials and the Boson-Fermion correspondence

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T12:33:35.873523Z

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Observation 71280d48-78d4-47c7-8222-71f4a4cb895c · outbound

This paper cites Crystalizing the q -analogue of universal enveloping algebras.

Colored five-vertex models and Lascoux polynomials and atoms Crystalizing the q -analogue of universal enveloping algebras

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-14T12:33:35.892915Z

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Observation 0a4b684f-eb7c-4b53-953a-1a1fecbca04c · outbound

This paper cites On crystal bases of the q -analogue of universal enveloping algebras.

Colored five-vertex models and Lascoux polynomials and atoms On crystal bases of the q -analogue of universal enveloping algebras

Reference 19

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Unavailable: canonical work link unavailable.

Observation 9cd9ca99-8285-4273-840c-0d46909c976b · outbound

This paper cites The crystal base and L ittelmann's refined D emazure character formula.

Colored five-vertex models and Lascoux polynomials and atoms The crystal base and L ittelmann's refined D emazure character formula

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T12:33:36.069871Z

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Observation 55ceaf60-e042-41df-97df-84278b972f30 · outbound

This paper cites Kirillov.

Colored five-vertex models and Lascoux polynomials and atoms Kirillov

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:41.355855Z

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

Observation 5d9f9114-fd4d-49e2-9421-440ceb896edf · outbound

This paper cites Multispecies TASEP and combinatorial R.

Colored five-vertex models and Lascoux polynomials and atoms Multispecies TASEP and combinatorial R

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:41.246146Z

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Observation ad43891c-00fb-47a2-bd14-5e779b8e4cdf · outbound

This paper cites Inhomogeneous generalization of a multispecies totally asymmetric zero range process.

Colored five-vertex models and Lascoux polynomials and atoms Inhomogeneous generalization of a multispecies totally asymmetric zero range process

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:41.095212Z

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

Observation ca2c6b7c-33ed-4247-9c92-8042e0e1fa84 · outbound

This paper cites Multispecies TASEP and the tetrahedron equation.

Colored five-vertex models and Lascoux polynomials and atoms Multispecies TASEP and the tetrahedron equation

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:40.956844Z

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

Observation d6e9f8e8-a486-4be0-925d-04f59dfa9fe0 · outbound

This paper cites Another proof of the alternating-sign matrix conjecture.

Colored five-vertex models and Lascoux polynomials and atoms Another proof of the alternating-sign matrix conjecture

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:40.771921Z

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

Observation 6b06c7f1-35c4-49a9-8fb3-5bb0346a108f · outbound

This paper cites Transition on G rothendieck polynomials.

Colored five-vertex models and Lascoux polynomials and atoms Transition on G rothendieck polynomials

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:40.651125Z

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Observation 82c4ac94-036b-4865-8fd6-0b3169c333c8 · outbound

This paper cites Combinatorial aspects of the K -theory of G rassmannians.

Colored five-vertex models and Lascoux polynomials and atoms Combinatorial aspects of the K -theory of G rassmannians

Reference 27

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This paper cites On the combinatorics of crystal graphs.

Colored five-vertex models and Lascoux polynomials and atoms On the combinatorics of crystal graphs

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-14T12:33:36.375932Z

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Observation 21b6cc03-50b9-436d-8e6d-85be0de28b19 · outbound

This paper cites Crystal graphs and Y oung tableaux.

Colored five-vertex models and Lascoux polynomials and atoms Crystal graphs and Y oung tableaux

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-14T12:33:36.384329Z

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Observation 52609447-054a-48d4-bc18-50ccf8beec90 · outbound

This paper cites Lakshmibai, C.

Colored five-vertex models and Lascoux polynomials and atoms Lakshmibai, C

Reference 30

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This paper cites Structure de H opf de l'anneau de cohomologie et de l'anneau de G rothendieck d'une vari\'et\'e de drapeaux.

Colored five-vertex models and Lascoux polynomials and atoms Structure de H opf de l'anneau de cohomologie et de l'anneau de G rothendieck d'une vari\'et\'e de drapeaux

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:40.264347Z

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Observation 5b97f925-f2c5-4a5a-9ec5-225e7cfea0f4 · outbound

This paper cites Symmetry and flag manifolds.

Colored five-vertex models and Lascoux polynomials and atoms Symmetry and flag manifolds

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:40.143784Z

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Observation bf2393c2-3904-410e-b2a7-2c9d3fbb5860 · outbound

This paper cites Keys & standard bases.

Colored five-vertex models and Lascoux polynomials and atoms Keys & standard bases

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:39.933919Z

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Observation c1c3f687-a469-4435-8df1-4fb6609814b9 · outbound

This paper cites A decomposition of S chur functions and an analogue of the R obinson- S chensted- K nuth algorithm.

Colored five-vertex models and Lascoux polynomials and atoms A decomposition of S chur functions and an analogue of the R obinson- S chensted- K nuth algorithm

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:39.744081Z

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Observation 64a34ad7-a91e-4c95-ad93-12e0d5f24022 · outbound

This paper cites An explicit construction of type A D emazure atoms.

Colored five-vertex models and Lascoux polynomials and atoms An explicit construction of type A D emazure atoms

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:39.623776Z

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Observation 36313a2c-1efd-42ce-a62d-a984b8359180 · outbound

This paper cites Set-Valued Skyline Fillings.

Colored five-vertex models and Lascoux polynomials and atoms Set-Valued Skyline Fillings

Reference 36

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This paper cites Crystal structures for symmetric Grothendieck polynomials.

Colored five-vertex models and Lascoux polynomials and atoms Crystal structures for symmetric Grothendieck polynomials

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-14T12:33:36.948502Z

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Observation ab7bac72-3040-4ab7-bd23-f6e73f0d51f7 · outbound

This paper cites Polynomials from combinatorial K -theory.

Colored five-vertex models and Lascoux polynomials and atoms Polynomials from combinatorial K -theory

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:39.500301Z

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

Observation e6f8a081-db9a-46c2-890e-308fbfd84aee · outbound

This paper cites Vertex models, TASEP and G rothendieck polynomials.

Colored five-vertex models and Lascoux polynomials and atoms Vertex models, TASEP and G rothendieck polynomials

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:39.220420Z

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

Observation aaaef390-e28d-476c-b006-69fa5910066a · outbound

This paper cites K -theoretic boson-fermion correspondence and melting crystals.

Colored five-vertex models and Lascoux polynomials and atoms K -theoretic boson-fermion correspondence and melting crystals

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:39.047416Z

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

Observation b1051d83-a0cb-4e8c-a400-c71af9d0fcea · outbound

This paper cites K-theoretic crystals for set-valued tableaux of rectangular shapes.

Colored five-vertex models and Lascoux polynomials and atoms K-theoretic crystals for set-valued tableaux of rectangular shapes

Reference 41

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:33:37.350025Z

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

Observation 5cd47791-5266-4df4-a9fe-a694f2044c88 · outbound

This paper cites Combinatorial rules for three bases of polynomials.

Colored five-vertex models and Lascoux polynomials and atoms Combinatorial rules for three bases of polynomials

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:38.994338Z

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Observation 588f5d91-4637-4c7f-af24-88345e8428b7 · outbound

This paper cites an unresolved cited work.

Colored five-vertex models and Lascoux polynomials and atoms Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-14T12:33:37.168833Z

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Observation a78a5b59-39ef-437a-9284-22e5518dee9f · outbound

This paper cites S age M athematics S oftware ( V ersion 8.7) , 2019.

Colored five-vertex models and Lascoux polynomials and atoms S age M athematics S oftware ( V ersion 8.7) , 2019

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:38.770472Z

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Observation e8ed0de4-a23a-413b-bf9d-9546712e3d77 · outbound

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Colored five-vertex models and Lascoux polynomials and atoms Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:33:38.559362Z

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

Observation a93c5b00-6196-45d4-8088-47f407732f93 · outbound

This paper cites Littlewood- R ichardson coefficients for G rothendieck polynomials from integrability.

Colored five-vertex models and Lascoux polynomials and atoms Littlewood- R ichardson coefficients for G rothendieck polynomials from integrability

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:38.414417Z

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Pith citing papers

Observation 06d7ecd9-e9cc-4c97-a11b-2dec483e2233 · 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 Colored five-vertex models and Lascoux polynomials and atoms

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T05:08:00.864744Z

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Unavailable: canonical work link unavailable.

Observation 2e6a1dca-47b6-4c17-be5b-075d9ce6c89a · 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 Colored five-vertex models and Lascoux polynomials and atoms

Reference 12

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

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