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Paper Citation Record · LEDGER

Formulas for Koornwinder polynomials

As of 21 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2608.02810.

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

pith.paper-citation-record.v1
2608.02810 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T00:55:39.407229Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

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

Source: cited_works

Reference resolution

28 of 28 outbound references displayed

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  • verified fuzzy6
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3c4b224a-06f0-4bd2-a1ba-6dec4c0f122f · outbound

This paper cites Non-symmetric Macdonald polynomials and Demazure-Lusztig operators.

Formulas for Koornwinder polynomials Non-symmetric Macdonald polynomials and Demazure-Lusztig operators

Reference 1

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local_arxiv, observed 2026-08-05T00:55:41.977134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T00:55:37.185896Z digest=sha256:cddc9ca8e19ae490b8bf552e2c86065b6f3282ca16c4a23640a4a681e5dbbab3

Observation 2d920fab-0267-4415-a7d4-f98246fce177 · outbound

This paper cites Bourbaki, Groupes et alg\`ebres de Lie , vol.

Formulas for Koornwinder polynomials Bourbaki, Groupes et alg\`ebres de Lie , vol

Reference 2

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raw_fallback, observed 2026-08-05T00:55:43.377978Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T00:55:37.243397Z digest=sha256:54c7368fa92c30c5737a8ead5f46d1735212c9a54d584d342c9ea3ce6b423532

Observation 71d4ae38-52dc-429f-8af5-e6671340dcd5 · outbound

This paper cites Matrix product formula for Macdonald polynomials.

Formulas for Koornwinder polynomials Matrix product formula for Macdonald polynomials

Reference 3

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verified exact
local_arxiv, observed 2026-08-05T00:55:41.785599Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T00:55:37.260773Z digest=sha256:00927cc43ea715d02e0d9cb24ae3e7cac27b9dd70551df85fe454139e39cd6b0

Observation fd7fc798-0d04-4e3d-8061-bc7af3fcae7a · outbound

This paper cites Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries.

Formulas for Koornwinder polynomials Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries

Reference 4

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verified exact
local_arxiv, observed 2026-08-05T00:55:41.625293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T00:55:37.307587Z digest=sha256:393b87210fe6128170798e4a8cc2e262fd6cc425e6509087d5b764a11bf9095d

Observation ac2dbdbb-b058-4196-81e4-c6a7b41e7bc5 · outbound

This paper cites Colmenarejo, L.

Formulas for Koornwinder polynomials Colmenarejo, L

Reference 5

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raw_fallback, observed 2026-08-05T00:55:43.297717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T00:55:37.353046Z digest=sha256:f7a54ae4ad21063a03ae3806075a17f45ca9161aa61b1b99287be52f935eb107

Observation f09945b9-f064-4743-aa97-bfcc5c6f5bbe · outbound

This paper cites an unresolved cited work.

Formulas for Koornwinder polynomials Unresolved cited work

Reference 6

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 363b69bb-33d1-4a59-9dea-b6e7a3cdd9b0 · outbound

This paper cites an unresolved cited work.

Formulas for Koornwinder polynomials Unresolved cited work

Reference 7

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source=arxiv_source observed=2026-08-05T00:55:37.574627Z digest=sha256:5a0dbc90f5087ebe7e4af970b0e49fbe46e2044f615d2e0416992783d4af09fb

Observation ee0b1b5e-35ec-4868-a14b-4059247fec58 · outbound

This paper cites From multiline queues to Macdonald polynomials via the exclusion process.

Formulas for Koornwinder polynomials From multiline queues to Macdonald polynomials via the exclusion process

Reference 8

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local_arxiv, observed 2026-08-05T00:55:41.482106Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T00:55:37.643517Z digest=sha256:3c1f1d1c42a5f758bafb2f09c378e511d80df6c68a99c2a15bfc89efb7193a6d

Observation c3e826c7-81bb-4008-9fe9-ba85460ae33f · outbound

This paper cites Rhombic staircase tableaux and Koornwinder polynomials.

Formulas for Koornwinder polynomials Rhombic staircase tableaux and Koornwinder polynomials

Reference 9

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local_arxiv, observed 2026-08-05T00:55:41.323310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T00:55:37.774041Z digest=sha256:b13f63299ed361a9fef808ae7118ea15d003c32559bc85c2f6291d5fb5058e46

Observation 43a4ccab-f73c-4990-b156-89d2cbfb5b70 · outbound

This paper cites Set-valued tableaux for Macdonald polynomials.

Formulas for Koornwinder polynomials Set-valued tableaux for Macdonald polynomials

Reference 10

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local_arxiv, observed 2026-08-05T00:55:41.159244Z

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source=arxiv_source observed=2026-08-05T00:55:37.863754Z digest=sha256:78363f10e8a6902507aaa9be070c4a81b844bc3aa52ed3a88eccc6fcbb26970f

Observation ebdd62ac-540a-4ca5-97c9-9567c6d6d447 · outbound

This paper cites Non symmetric Cauchy kernels for the classical Groups.

Formulas for Koornwinder polynomials Non symmetric Cauchy kernels for the classical Groups

Reference 11

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local_arxiv, observed 2026-08-05T00:55:41.009426Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T00:55:37.939182Z digest=sha256:b1e9bf084f6011df9ae74b040c4fced2a816c53eee13ad0080f650565bd828e6

Observation 19411335-01ae-4227-87da-dcff71838b16 · outbound

This paper cites Comparing formulas for type $GL_n$ Macdonald polynomials.

Formulas for Koornwinder polynomials Comparing formulas for type $GL_n$ Macdonald polynomials

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-05T00:55:40.871987Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T00:55:38.031949Z digest=sha256:2542db89eb142d83514f1300e6f0f74dcfc0543fa9457454788cae9394511ffb

Observation e2e366e5-804c-4baf-b209-8bed40dc3749 · outbound

This paper cites Comparing formulas for type $GL_n$ Macdonald polynomials: Supplement.

Formulas for Koornwinder polynomials Comparing formulas for type $GL_n$ Macdonald polynomials: Supplement

Reference 13

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verified exact
local_arxiv, observed 2026-08-05T00:55:40.760996Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 99319eac-eb53-464b-b88e-075c6516d6c0 · outbound

This paper cites an unresolved cited work.

Formulas for Koornwinder polynomials Unresolved cited work

Reference 14

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T00:55:38.256838Z digest=sha256:3ac702949d43d1154ee4c0d0e1730109d404d9bbe01b86788a21b487f1b673cc

Observation 512297e4-1351-44cd-95e0-a510ec7c0bec · outbound

This paper cites III, 843-872.

Formulas for Koornwinder polynomials III, 843-872

Reference 15

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source=arxiv_source observed=2026-08-05T00:55:38.332851Z digest=sha256:e5eb296bb49ab106a3a97be809b29762cc09aa33e816e929e43d8d36b9a6490e

Observation 3e0feec7-a801-4017-90df-8d2270ff04ef · outbound

This paper cites Triple groups and Cherednik algebras.

Formulas for Koornwinder polynomials Triple groups and Cherednik algebras

Reference 16

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local_arxiv, observed 2026-08-05T00:55:40.374830Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation b379ff18-ba53-4ee4-82a1-a776729e3b6a · outbound

This paper cites an unresolved cited work.

Formulas for Koornwinder polynomials Unresolved cited work

Reference 17

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T00:55:38.513860Z digest=sha256:b20e6bd08cea16c13cf9181ae6a43d458328cc7a49552f787a680fe2bb5e22d9

Observation 89e48301-8fe2-40c0-b007-5b4e223790a7 · outbound

This paper cites On Combinatorial Formulas for Macdonald Polynomials.

Formulas for Koornwinder polynomials On Combinatorial Formulas for Macdonald Polynomials

Reference 18

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local_arxiv, observed 2026-08-05T00:55:40.198122Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T00:55:38.594405Z digest=sha256:6bd16e85250de9fdc1709f31b097a9fae5c131131a583b590476a68b2a04c463

Observation 8b1163d5-7547-426b-9ea8-06873093f032 · outbound

This paper cites Haglund-Haiman-Loehr Type Formulas for Hall-Littlewood Polynomials of Type B and C.

Formulas for Koornwinder polynomials Haglund-Haiman-Loehr Type Formulas for Hall-Littlewood Polynomials of Type B and C

Reference 19

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local_arxiv, observed 2026-08-05T00:55:40.036816Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T00:55:38.730658Z digest=sha256:2a15a05a82b206e22aed842d582cc467651f302313e228b314026792e2925d70

Observation d9bf7854-02e1-4b06-9323-f31362e05491 · outbound

This paper cites ISBN: 0-19-853489-2, MR1354144.

Formulas for Koornwinder polynomials ISBN: 0-19-853489-2, MR1354144

Reference 20

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Observation 78d6ff0e-d6f1-4de9-8f63-710304ce0787 · outbound

This paper cites an unresolved cited work.

Formulas for Koornwinder polynomials Unresolved cited work

Reference 21

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation ef96a4ce-9411-4831-9817-fe31fe0810cf · outbound

This paper cites 157, Cambridge University Press, Cambridge, 2003.

Formulas for Koornwinder polynomials 157, Cambridge University Press, Cambridge, 2003

Reference 22

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Observation 8669c9c1-1d92-4172-88a2-5aa902bc3439 · outbound

This paper cites an unresolved cited work.

Formulas for Koornwinder polynomials Unresolved cited work

Reference 23

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T00:55:39.028535Z digest=sha256:465996ea60a73d93e7928d954e11847c4a331e16f8605d617732b1e3147cce99

Observation 170e96ca-b7e5-4e8e-bb1a-e5117f08791b · outbound

This paper cites A combinatorial formula for Macdonald polynomials.

Formulas for Koornwinder polynomials A combinatorial formula for Macdonald polynomials

Reference 24

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local_arxiv, observed 2026-08-05T00:55:39.819987Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T00:55:39.092234Z digest=sha256:3ca4b6037b142cef252fc8e2ecf14a468a1a1795bbc95da9674c81100166ffd3

Observation c0380e67-a903-4e9a-9e81-687ec9f76266 · outbound

This paper cites Specializations of nonsymmetric Macdonald-Koornwinder polynomials.

Formulas for Koornwinder polynomials Specializations of nonsymmetric Macdonald-Koornwinder polynomials

Reference 25

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T00:55:39.184441Z digest=sha256:2f1f05e8a1134f8c01fa612f3e52363f73e92a0b7da0c54067f05e297c1380bf

Observation 41ebe9cf-dd7b-4d2e-81db-757d644b5803 · outbound

This paper cites MR1715325.

Formulas for Koornwinder polynomials MR1715325

Reference 26

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Observation 56c06896-aef1-43bb-96df-d250ee389ca1 · outbound

This paper cites an unresolved cited work.

Formulas for Koornwinder polynomials Unresolved cited work

Reference 27

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source=arxiv_source observed=2026-08-05T00:55:39.360200Z digest=sha256:ad1d5215205760d3cac9f1c20a6a4c439b25a3345b409267b5afe581e3364211

Observation e1a2a44c-a2ee-4738-bf18-f0c06d34169f · outbound

This paper cites an unresolved cited work.

Formulas for Koornwinder polynomials Unresolved cited work

Reference 28

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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