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Paper Citation Record · LEDGER

A basic triad in Macdonald theory

As of 19 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 7 inbound Pith citation observations for arXiv:2411.16517.

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

pith.paper-citation-record.v1
2411.16517 v3

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measured 31 of 31 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-12T13:07:07.303693Z

measured 38 of 38 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:17:47.373792Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-07-10T22:27:37.941358Z

Reference resolution

31 of 31 outbound references displayed

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  • verified fuzzy6
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Outbound references

Observation cec1cb22-0c96-45b8-9ae9-9f0d6ecc7152 · outbound

This paper cites Macdonald, Symmetric functions and Hall polynomials , Oxford University Press, 1995.

A basic triad in Macdonald theory Macdonald, Symmetric functions and Hall polynomials , Oxford University Press, 1995

Reference 1

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Observation adeaa735-e8a2-4d8e-afd5-cc299795350c · outbound

This paper cites Integrability and Matrix Models.

A basic triad in Macdonald theory Integrability and Matrix Models

Reference 2

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Observation 4726dc1b-8b60-4b9e-a254-57f0de3a6842 · outbound

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

A basic triad in Macdonald theory Generalization and Deformation of Drinfeld quantum affine algebras

Reference 3

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Observation 05f24214-fec4-46a4-a95a-27cd29b8843e · outbound

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

A basic triad in Macdonald theory Commutative families in DIM algebra, integrable many-body systems and $q,t$ matrix models

Reference 4

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Observation 5299ede7-39fb-48c6-b96e-d82e8776c888 · outbound

This paper cites Multidimensional Baker-Akhiezer functions and Huygens' Principle.

A basic triad in Macdonald theory Multidimensional Baker-Akhiezer functions and Huygens' Principle

Reference 5

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Observation 804433fc-0e38-43e6-9173-2caeecdfafa9 · outbound

This paper cites Macdonald polynomials and algebraic integrability.

A basic triad in Macdonald theory Macdonald polynomials and algebraic integrability

Reference 6

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Observation 1a303094-86d7-4ec6-869d-83573d947fe5 · outbound

This paper cites Chalykh, A.P.

A basic triad in Macdonald theory Chalykh, A.P

Reference 7

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Observation 375aeb83-1336-42d0-949f-cdce9f01fd4a · outbound

This paper cites Veselov, K.L.

A basic triad in Macdonald theory Veselov, K.L

Reference 8

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Observation 5e42cef2-3646-4fd2-aeec-635e7889fa7a · outbound

This paper cites Chalykh, Phil.Trans.Royal Soc.

A basic triad in Macdonald theory Chalykh, Phil.Trans.Royal Soc

Reference 9

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source=pdf_text observed=2026-08-12T13:07:07.162981Z digest=sha256:d438f4382e1c7e6ceb5c97ad3a17dfb17073d4e7cb8edfdbe20c6c8d7bcb1184

Observation 3ef99fb7-459a-4e5b-b6a7-4a1ad0b7af84 · outbound

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

A basic triad in Macdonald theory A direct approach to the bispectral problem for the Ruijsenaars-Macdonald q-difference operators

Reference 10

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Observation b08aee3d-b05c-4688-ac91-3227c18c6847 · outbound

This paper cites Algebraic integrability of Macdonald operators and representations of quantum groups.

A basic triad in Macdonald theory Algebraic integrability of Macdonald operators and representations of quantum groups

Reference 11

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Observation 7d780945-48bf-47de-a9c5-b8e366f63b46 · outbound

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

A basic triad in Macdonald theory Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions

Reference 12

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Observation 3d2af22d-5430-4397-ad6e-e1ae9c5ca026 · outbound

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

A basic triad in Macdonald theory On Chalykh's approach to eigenfunctions of DIM-induced integrable Hamiltonians

Reference 13

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Observation d84ed865-741e-4e79-927d-96f5fa8af826 · outbound

This paper cites Mironov, A.

A basic triad in Macdonald theory Mironov, A

Reference 14

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Observation b75da9f9-9150-4fef-982f-3dc6d7b79b2f · outbound

This paper cites Sekiguchi, Publ.

A basic triad in Macdonald theory Sekiguchi, Publ

Reference 15

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Observation 45969895-ffd9-4322-aa86-63b55237e3bf · outbound

This paper cites Baxter operators in Ruijsenaars hyperbolic system I. Commutativity of Q-operators.

A basic triad in Macdonald theory Baxter operators in Ruijsenaars hyperbolic system I. Commutativity of Q-operators

Reference 16

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Observation fc32e20f-8520-4249-8e8d-e89c49a1a84b · outbound

This paper cites Can tangle calculus be applicable to hyperpolynomials?.

A basic triad in Macdonald theory Can tangle calculus be applicable to hyperpolynomials?

Reference 17

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Observation 9776413c-4f65-453b-84fd-fdfbc1c66900 · outbound

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

A basic triad in Macdonald theory Chalykh's Baker-Akhiezer functions as eigenfunctions of the integer-ray integrable systems

Reference 18

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Observation 161f954f-6c7c-4e3b-aa60-5ca0772a5ef9 · outbound

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

A basic triad in Macdonald theory Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models

Reference 19

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Observation 1d810458-e997-4f6c-ac41-758ea07b4102 · outbound

This paper cites Elliptic Ding-Iohara Algebra and the Free Field Realization of the Elliptic Macdonald Operator.

A basic triad in Macdonald theory Elliptic Ding-Iohara Algebra and the Free Field Realization of the Elliptic Macdonald Operator

Reference 20

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Observation 37ad278d-0310-419a-bdfc-81a32eb38c9a · outbound

This paper cites 4d higgsed network calculus and elliptic DIM algebra.

A basic triad in Macdonald theory 4d higgsed network calculus and elliptic DIM algebra

Reference 21

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Observation f12180a8-7660-4081-beeb-b9a62e345482 · outbound

This paper cites Duality in elliptic Ruijsenaars system and elliptic symmetric functions.

A basic triad in Macdonald theory Duality in elliptic Ruijsenaars system and elliptic symmetric functions

Reference 22

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Observation 5352694a-1de8-42e4-9009-c8a78aabfa4e · outbound

This paper cites Shiraishi functor and non-Kerov deformation of Macdonald polynomials.

A basic triad in Macdonald theory Shiraishi functor and non-Kerov deformation of Macdonald polynomials

Reference 23

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Observation d39e8038-984c-41b8-88aa-dac02ec0341f · outbound

This paper cites Non-Stationary Ruijsenaars Functions for $\kappa=t^{-1/N}$ and Intertwining Operators of Ding-Iohara-Miki Algebra.

A basic triad in Macdonald theory Non-Stationary Ruijsenaars Functions for $\kappa=t^{-1/N}$ and Intertwining Operators of Ding-Iohara-Miki Algebra

Reference 24

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Observation 479adedd-1409-46d5-94d3-21534a2891b7 · outbound

This paper cites Elliptic lift of the Shiraishi function as a non-stationary double-elliptic function.

A basic triad in Macdonald theory Elliptic lift of the Shiraishi function as a non-stationary double-elliptic function

Reference 25

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source=pdf_text observed=2026-08-12T13:07:07.267934Z digest=sha256:11cdad5e1971c1c1b09e0f94e24c0c5ba8741502009107ffd91016e765263c3a

Observation 45e797e0-8ea1-419f-9262-182fcb119404 · outbound

This paper cites The Quantum DELL System.

A basic triad in Macdonald theory The Quantum DELL System

Reference 26

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Observation f109268b-9947-46d9-97a4-4731c5ebc16a · outbound

This paper cites Macdonald, Orthogonal polynomials associated with root systems, preprint (1987); mathQA/0011046.

A basic triad in Macdonald theory Macdonald, Orthogonal polynomials associated with root systems, preprint (1987); mathQA/0011046

Reference 27

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Observation 9a03694f-db1e-442e-a33c-e3923f9f5019 · outbound

This paper cites Macdonald's Evaluation Conjectures and Difference Fourier Transform.

A basic triad in Macdonald theory Macdonald's Evaluation Conjectures and Difference Fourier Transform

Reference 28

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Observation 0ccf0fba-ea46-4d16-96c6-599ec5babfc0 · outbound

This paper cites Koornwinder, Jack Polynomials, and Applications (Tampa, FL, 1991), Contemp.

A basic triad in Macdonald theory Koornwinder, Jack Polynomials, and Applications (Tampa, FL, 1991), Contemp

Reference 29

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source=pdf_text observed=2026-08-12T13:07:07.292831Z digest=sha256:f981b08889705390a9ee3e022c6400ecf39db680ef78701be275df80de4e0470

Observation 2bff77c5-377e-4d5d-9fa9-6447777dcd98 · outbound

This paper cites Affine Screening Operators, Affine Laumon Spaces, and Conjectures Concerning Non-Stationary Ruijsenaars Functions.

A basic triad in Macdonald theory Affine Screening Operators, Affine Laumon Spaces, and Conjectures Concerning Non-Stationary Ruijsenaars Functions

Reference 30

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Observation 34fc968d-9a93-40d7-b919-33b95c84a3e3 · outbound

This paper cites On the status of DELL systems.

A basic triad in Macdonald theory On the status of DELL systems

Reference 31

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Pith citing papers

Observation 0bcc3d12-0ad1-4ec9-b81a-b8931ae98333 · inbound

Elliptic triad cites this paper.

Elliptic triad A basic triad in Macdonald theory

Reference 3

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Observation f48276c3-f9db-44f6-90b4-d91d2b9da49d · inbound

Super-Hamiltonians for super-Macdonald polynomials cites this paper.

Super-Hamiltonians for super-Macdonald polynomials A basic triad in Macdonald theory

Reference 30

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

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems cites this paper.

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

Reference 12

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arxiv_id, observed 2026-05-16T10:22:44.334278Z

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source=pdf_text observed=2026-05-16T10:22:15.524210Z digest=sha256:7375ea757a5b5fb81c495b8698d9838266f91e0dde78acdf3f56c09530bcde14

Observation f369a3a3-c51c-49c0-97e1-4d611a779dbf · inbound

Generating twisted Cherednik eigenfunctions cites this paper.

Generating twisted Cherednik eigenfunctions A basic triad in Macdonald theory

Reference 33

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Observation 95647620-0595-4187-b972-ab854c89d99c · 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 $A$ A basic triad in Macdonald theory

Reference 23

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source=pdf_text observed=2026-07-10T22:24:42.466871Z digest=sha256:3885cf3abcf47d49ce67358aeb5a5700d5d1199a9936d218df8a1d26017f3bcc

Observation 0c2439c2-d46b-4bf3-b9a2-d0785a234b53 · inbound

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

Cherednik integrable system: eigenfunctions at generic eigenvalues A basic triad in Macdonald theory

Reference 23

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

Cherednik integrable system: eigenfunctions at generic eigenvalues A basic triad in Macdonald theory

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