Paper Citation Record · LEDGER

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems

As of 13 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 4 inbound Pith citation observations for arXiv:2601.19878.

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

pith.paper-citation-record.v1
2601.19878 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-16T10:22:15.524210Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T21:14:57.528176Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T22:27:38.164884Z

Reference resolution

35 of 35 outbound references displayed

verified exact23
verified fuzzy9
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch2

External citation measurements

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Outbound references

Observation 7c13a3e8-ebe5-45c2-a023-c70cb7578294 · outbound

This paper cites Ruijsenaars, H.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Ruijsenaars, H

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T10:22:44.484965Z

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Observation 38cb9b91-4f94-4a8c-b499-28842d17a042 · outbound

This paper cites Cherednik.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Cherednik

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T10:22:44.482010Z

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Observation 10003d38-f310-476f-baa0-f84e07045785 · outbound

This paper cites Cherednik operators and Ruijsenaars-Schneider model at infinity.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Cherednik operators and Ruijsenaars-Schneider model at infinity

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-16T10:22:44.317162Z

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Observation e9249a67-7b4b-4951-b8ad-73bedfceb695 · outbound

This paper cites Opdam, Acta Mathematica,175(1)(1995) 75–121.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Opdam, Acta Mathematica,175(1)(1995) 75–121

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T10:22:44.501651Z

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Observation a47bdf57-75fd-463c-95c4-9ba8ae9bfeb8 · outbound

This paper cites Macdonald, Asterisque-Societe Mathematique de France,237(1996) 189-208.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Macdonald, Asterisque-Societe Mathematique de France,237(1996) 189-208

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T10:22:44.507920Z

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Observation 801058c5-9ec7-4d8e-ab94-5ae74126a121 · outbound

This paper cites Non-Symmetric Macdonald's Polynomials.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Non-Symmetric Macdonald's Polynomials

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-05-16T10:22:44.407464Z

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Observation 3b13b262-9d04-4ce5-b45c-27f06c8e07dd · outbound

This paper cites A combinatorial formula for non-symmetric Macdonald polynomials.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems A combinatorial formula for non-symmetric Macdonald polynomials

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-05-16T10:22:44.364424Z

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Observation 8cc453ae-a5dd-4877-862f-97e4abb57b67 · outbound

This paper cites A reproducing kernel for nonsymmetric Macdonald polynomials.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems A reproducing kernel for nonsymmetric Macdonald polynomials

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-05-16T10:22:44.386015Z

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Observation 62f8bb4d-7a99-4b10-9112-0ef73cfffc32 · outbound

This paper cites A $q$-analogue of the type $A$ Dunkl operator and integral kernel.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems A $q$-analogue of the type $A$ Dunkl operator and integral kernel

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-05-16T10:22:44.350419Z

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Observation 708343c4-28de-4969-90ae-a8f79cfe7dd0 · outbound

This paper cites Macdonald,Symmetric functions and Hall polynomials, Oxford University Press.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Macdonald,Symmetric functions and Hall polynomials, Oxford University Press

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T10:22:44.495835Z

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Observation 8c9e50b5-2f2a-45d5-adc8-6ffaed9938b8 · outbound

This paper cites Macdonald polynomials and algebraic integrability.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Macdonald polynomials and algebraic integrability

Reference 11

Resolution: metadata mismatch; local_arxiv, observed 2026-05-16T10:22:44.321425Z

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Observation 374b1544-bba3-4783-9d06-664ec463de7a · outbound

This paper cites A basic triad in Macdonald theory.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems A basic triad in Macdonald theory

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-16T10:22:44.334278Z

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Observation 3b8c3a67-6c61-42d1-9219-07aae579a666 · outbound

This paper cites Generalization and Deformation of Drinfeld quantum affine algebras.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Generalization and Deformation of Drinfeld quantum affine algebras

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-05-16T10:22:44.411447Z

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Observation 454a7d35-98fb-45ac-b57b-cc10c219c459 · outbound

This paper cites an unresolved cited work.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-05-16T10:22:44.498673Z

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Observation ddeb9660-4646-4d65-8d11-e80d89f64f7a · outbound

This paper cites Commutative families in DIM algebra, integrable many-body systems and $q,t$ matrix models.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Commutative families in DIM algebra, integrable many-body systems and $q,t$ matrix models

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-16T10:22:44.381996Z

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Observation 53d1e9e1-3a82-48d6-bfcc-3a70fca1805b · outbound

This paper cites Mironov, A.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Mironov, A

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-16T10:22:44.329925Z

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Observation 944281a9-d970-4d3b-8aed-7a88792ac6db · outbound

This paper cites Twisted Cherednik spectrum as a $q,t$-deformation.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Twisted Cherednik spectrum as a $q,t$-deformation

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-05-22T02:03:53.908087Z

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Observation a054eee1-e137-427c-b464-02d66933cc6c · outbound

This paper cites Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-05-16T10:22:44.399974Z

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Observation 3968a086-5148-417b-a1ae-c8a2bf8199f7 · outbound

This paper cites Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-05-16T10:22:44.345833Z

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Observation 53a766ed-64cb-4754-ada9-0075eadf802d · outbound

This paper cites Mironov, A.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Mironov, A

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-16T10:22:44.390757Z

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Observation 5b894aa9-0416-4cd2-883e-9c31c2a3d95a · outbound

This paper cites Finite type modules and Bethe Ansatz for quantum toroidal gl(1).

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Finite type modules and Bethe Ansatz for quantum toroidal gl(1)

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-05-16T10:22:44.394994Z

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Observation e193da85-66f0-4eb5-a891-714f49857586 · outbound

This paper cites On the Hall algebra of an elliptic curve, I.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems On the Hall algebra of an elliptic curve, I

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-05-16T10:22:44.403787Z

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Observation 20952001-3592-4a2e-bc8a-9b35f4470865 · outbound

This paper cites On pentagon identity in Ding-Iohara-Miki algebra.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems On pentagon identity in Ding-Iohara-Miki algebra

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-16T10:22:44.359662Z

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Observation 2af7712a-c668-4ca7-bc62-312b97f4d117 · outbound

This paper cites Miki, Lett.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Miki, Lett

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T10:22:44.487638Z

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Observation 76fa7728-dd9a-4178-8763-5594ba138a64 · outbound

This paper cites Higgsed network calculus.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Higgsed network calculus

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-05-16T10:22:44.377837Z

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Observation aac958a9-37da-49d3-b764-2294df3ef90b · outbound

This paper cites On Chalykh's approach to eigenfunctions of DIM-induced integrable Hamiltonians.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems On Chalykh's approach to eigenfunctions of DIM-induced integrable Hamiltonians

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-16T10:22:44.337655Z

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Observation c3362e78-82ab-4318-a449-9a3b8303c9c5 · outbound

This paper cites Chalykh's Baker-Akhiezer functions as eigenfunctions of the integer-ray integrable systems.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Chalykh's Baker-Akhiezer functions as eigenfunctions of the integer-ray integrable systems

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-16T10:22:44.373551Z

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Observation cfc91c3b-11d4-48d4-a131-6342679664a6 · outbound

This paper cites Sekiguchi, Publ.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Sekiguchi, Publ

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T10:22:44.490105Z

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Observation e835e0c9-2f91-4326-9bb3-4ca2f98700b2 · outbound

This paper cites A direct approach to the bispectral problem for the Ruijsenaars-Macdonald q-difference operators.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems A direct approach to the bispectral problem for the Ruijsenaars-Macdonald q-difference operators

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-05-16T10:22:44.419457Z

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Observation 2618fb5a-2c09-409d-bcda-a04e81b6fdf1 · outbound

This paper cites On the status of DELL systems.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems On the status of DELL systems

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-05-16T10:22:44.369359Z

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Observation d1bf0155-a9b5-4d80-9549-6bf56aaa8c48 · outbound

This paper cites (t,q) Q-systems, DAHA and quantum toroidal algebras via generalized Macdonald operators.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems (t,q) Q-systems, DAHA and quantum toroidal algebras via generalized Macdonald operators

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-05-16T10:22:44.415437Z

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Observation 84b59492-d6ae-4a03-b841-ee7f24e11f72 · outbound

This paper cites Eisenstein series and quantum affine algebras.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Eisenstein series and quantum affine algebras

Reference 33

Resolution: metadata mismatch; local_arxiv, observed 2026-05-16T10:22:44.325564Z

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Observation 6d78c8a6-448f-45e0-82df-9285472f7bfc · outbound

This paper cites Drinfeld realization of the elliptic Hall algebra.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Drinfeld realization of the elliptic Hall algebra

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-05-16T10:22:44.341337Z

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Observation 0390b8fa-a3c1-4616-9ea5-70ab6e9e4f9c · outbound

This paper cites Macdonald,Affine Hecke algebras and orthogonal polynomials,157, Cambridge University Press.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Macdonald,Affine Hecke algebras and orthogonal polynomials,157, Cambridge University Press

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T10:22:44.504846Z

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Observation 9f80f036-24cb-4853-b87d-91605c26e916 · outbound

This paper cites Miki, Lett.

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems Miki, Lett

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T10:22:44.492760Z

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Pith citing papers

Observation 0cd94147-14e9-4aec-9cb0-c4c5ed4d67a1 · inbound

Generating twisted Cherednik eigenfunctions cites this paper.

Generating twisted Cherednik eigenfunctions Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T21:14:57.528176Z

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Unavailable: canonical work link unavailable.

Observation 49a9a5cc-ad0b-4d5a-8c0a-d4fe2897c31f · inbound

Integrable systems inspired by DAHA and DIM algebra: type $C^\vee C$ versus type $A$ cites this paper.

Integrable systems inspired by DAHA and DIM algebra: type $C^\vee C$ versus type $A$ Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-07-10T22:27:38.179663Z

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Observation 281d99fe-b8b2-4932-8fe1-9aa936e71676 · inbound

Cherednik integrable system: eigenfunctions at generic eigenvalues cites this paper.

Cherednik integrable system: eigenfunctions at generic eigenvalues Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-13T04:44:23.941272Z

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Unavailable: canonical work link unavailable.

Observation ef00b688-f67a-485d-9c84-f394d493ef44 · inbound

Cherednik integrable system: eigenfunctions at generic eigenvalues cites this paper.

Cherednik integrable system: eigenfunctions at generic eigenvalues Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T07:44:39.559345Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.