Paper Citation Record · LEDGER

Eigenvalues of Heckman-Polychronakos operators

As of 15 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2412.01938.

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

pith.paper-citation-record.v1
2412.01938 v2

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:13:09.295941Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:01:54.629452Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T22:01:54.771788Z

Reference resolution

42 of 42 outbound references displayed

verified exact3
verified fuzzy36
unresolved3
parse uncertain0
malformed identifier0
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External citation measurements

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Outbound references

Observation 0c3ca80f-3ea6-4319-a571-d8dc61ce3977 · outbound

This paper cites The C alogero- S utherland model and polynomials with prescribed symmetry.

Eigenvalues of Heckman-Polychronakos operators The C alogero- S utherland model and polynomials with prescribed symmetry

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.944128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 31d60a76-da41-4603-bb3d-b073ee4413f8 · outbound

This paper cites Matrix addition and the D unkl transform at high temperature.

Eigenvalues of Heckman-Polychronakos operators Matrix addition and the D unkl transform at high temperature

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.933076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5f7e529f-8269-4b7a-b4c2-b527f059617d · outbound

This paper cites Gaussian asymptotics of discrete -ensembles.

Eigenvalues of Heckman-Polychronakos operators Gaussian asymptotics of discrete -ensembles

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.921702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d23ba11d-5840-4d0d-a981-b898f03144cf · outbound

This paper cites Z-measures on partitions and their scaling limits.

Eigenvalues of Heckman-Polychronakos operators Z-measures on partitions and their scaling limits

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.910890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2f076636-f484-4623-a6f5-5f024ba83730 · outbound

This paper cites Universality of global asymptotics of J ack-deformed random Y oung diagrams at varying temperatures.

Eigenvalues of Heckman-Polychronakos operators Universality of global asymptotics of J ack-deformed random Y oung diagrams at varying temperatures

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-12T00:13:09.158481Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 873f7de9-cc68-4d64-9763-931ffaef68dc · outbound

This paper cites Dunkl and Cherednik operators.

Eigenvalues of Heckman-Polychronakos operators Dunkl and Cherednik operators

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-12T00:13:09.477437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7aa47db4-ff1f-4268-a143-2fdca74914ed · outbound

This paper cites A unification of K nizhnik- Z amolodchikov and D unkl operators via affine H ecke algebras.

Eigenvalues of Heckman-Polychronakos operators A unification of K nizhnik- Z amolodchikov and D unkl operators via affine H ecke algebras

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.899944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bc6e57c2-9d2e-4b82-b58d-ce5da9f8e332 · outbound

This paper cites Integration of quantum many-body problems by affine K nizhnik- Z amolodchikov equations.

Eigenvalues of Heckman-Polychronakos operators Integration of quantum many-body problems by affine K nizhnik- Z amolodchikov equations

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.888847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d8e73d23-1efa-4a33-9c89-18c7ef619112 · outbound

This paper cites Harmonic analysis on finite groups , volume 108.

Eigenvalues of Heckman-Polychronakos operators Harmonic analysis on finite groups , volume 108

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.877819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a3506b50-a246-400a-9b2b-b65114648073 · outbound

This paper cites Gaussian fluctuations of Y oung diagrams and structure constants of J ack characters.

Eigenvalues of Heckman-Polychronakos operators Gaussian fluctuations of Y oung diagrams and structure constants of J ack characters

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.867451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 32210fe7-82f4-443b-a8da-6ea50e1bfefb · outbound

This paper cites Asymptotics of discrete -corners processes via two-level discrete loop equations.

Eigenvalues of Heckman-Polychronakos operators Asymptotics of discrete -corners processes via two-level discrete loop equations

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.857384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e3c0e818-1950-466e-b8fb-68391fbba03e · outbound

This paper cites Global asymptotics for $\beta$-Krawtchouk corners processes via multi-level loop equations.

Eigenvalues of Heckman-Polychronakos operators Global asymptotics for $\beta$-Krawtchouk corners processes via multi-level loop equations

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-12T00:13:09.461627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation dcf4fef9-9448-4591-a203-bf10bee66460 · outbound

This paper cites Gaussian fluctuations of J ack-deformed random Y oung diagrams.

Eigenvalues of Heckman-Polychronakos operators Gaussian fluctuations of J ack-deformed random Y oung diagrams

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.846632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e5ef13b2-9147-43f9-98af-1487be9c88b2 · outbound

This paper cites An addition theorem for H ahn polynomials: the spherical functions.

Eigenvalues of Heckman-Polychronakos operators An addition theorem for H ahn polynomials: the spherical functions

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.836303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c451dbd1-666c-4a73-a399-65daeef3a880 · outbound

This paper cites Differential-difference operators associated to reflection groups.

Eigenvalues of Heckman-Polychronakos operators Differential-difference operators associated to reflection groups

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.825888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bcfecc8f-e4a7-400e-bb0e-4e98dc9aab84 · outbound

This paper cites Integral kernels with reflection group invariance.

Eigenvalues of Heckman-Polychronakos operators Integral kernels with reflection group invariance

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.815548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f0dc6e88-748b-4273-b7a0-bdca23bdd833 · outbound

This paper cites Reflection groups in analysis and applications.

Eigenvalues of Heckman-Polychronakos operators Reflection groups in analysis and applications

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.804533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a734b35f-8676-4b88-8cf9-48a3c528468a · outbound

This paper cites On D unkl angular momenta algebra.

Eigenvalues of Heckman-Polychronakos operators On D unkl angular momenta algebra

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.792333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a9ec9af0-ac3b-4acd-b89d-01eeca3f844c · outbound

This paper cites Rigidity and edge universality of discrete -ensembles.

Eigenvalues of Heckman-Polychronakos operators Rigidity and edge universality of discrete -ensembles

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.781598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b13e6ebd-3607-4426-bf49-492c577efec2 · outbound

This paper cites Dynamical loop equation.

Eigenvalues of Heckman-Polychronakos operators Dynamical loop equation

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.771613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3fafd804-4b04-4747-a996-28fd02648240 · outbound

This paper cites Multilevel D yson B rownian motions via J ack polynomials.

Eigenvalues of Heckman-Polychronakos operators Multilevel D yson B rownian motions via J ack polynomials

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.761913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4f0af6a8-4458-45b8-86ab-a57bce22d49b · outbound

This paper cites Airy$_\beta$ line ensemble and its Laplace transform.

Eigenvalues of Heckman-Polychronakos operators Airy$_\beta$ line ensemble and its Laplace transform

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-12T00:13:09.221331Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97075f79-ad96-4c22-9e38-7fc86d046317 · outbound

This paper cites An elementary approach to the hypergeometric shift operators of opdam.

Eigenvalues of Heckman-Polychronakos operators An elementary approach to the hypergeometric shift operators of opdam

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.752214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 863bbf7b-c4a3-46d8-ba21-a565fd9210b9 · outbound

This paper cites Law of large numbers and central limit theorems through J ack generating functions.

Eigenvalues of Heckman-Polychronakos operators Law of large numbers and central limit theorems through J ack generating functions

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.741807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d4068ebb-7a40-4b4f-a2a1-d995fc66d126 · outbound

This paper cites Kerov’s central limit theorem for the P lancherel measure on Y oung diagrams.

Eigenvalues of Heckman-Polychronakos operators Kerov’s central limit theorem for the P lancherel measure on Y oung diagrams

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.730874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 787309dd-d8f8-4c0d-8b63-faa41304c336 · outbound

This paper cites The representation theory of the symmetric groups , volume 682.

Eigenvalues of Heckman-Polychronakos operators The representation theory of the symmetric groups , volume 682

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.720532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d0025b55-4090-46a1-84c2-3aa1db5a3fb6 · outbound

This paper cites Anisotropic Y oung diagrams and J ack symmetric functions.

Eigenvalues of Heckman-Polychronakos operators Anisotropic Y oung diagrams and J ack symmetric functions

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.710291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4dd68120-66ed-4455-8516-6e2742d8b024 · outbound

This paper cites Edge universality of -additions through D unkl operators.

Eigenvalues of Heckman-Polychronakos operators Edge universality of -additions through D unkl operators

Reference 28

Resolution: verified exact; raw_fallback, observed 2026-08-12T00:13:09.434471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2fdd837d-d9e4-48ea-aa31-0ba23f722777 · outbound

This paper cites Exact operator solution of the C alogero- S utherland model.

Eigenvalues of Heckman-Polychronakos operators Exact operator solution of the C alogero- S utherland model

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.699809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 79fcd00e-6a37-4f81-987e-46fd8d17cd76 · outbound

This paper cites Symmetric functions and H all polynomials, 2nd edition.

Eigenvalues of Heckman-Polychronakos operators Symmetric functions and H all polynomials, 2nd edition

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.689819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 66fb3fca-2427-46e5-b55b-34b2e8ad32fd · outbound

This paper cites Gaussian asymptotics of J ack measures on partitions from weighted enumeration of ribbon paths.

Eigenvalues of Heckman-Polychronakos operators Gaussian asymptotics of J ack measures on partitions from weighted enumeration of ribbon paths

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.678621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1317f773-7280-4a94-ae13-eeb0128b5465 · outbound

This paper cites Integrable hierarchy of the quantum B enjamin- O no equation.

Eigenvalues of Heckman-Polychronakos operators Integrable hierarchy of the quantum B enjamin- O no equation

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.667699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation eb5840d5-4f4f-40dc-8a0f-6f3d2c08f55e · outbound

This paper cites Cherednik operators and R uijsenaars-- S chneider model at infinity.

Eigenvalues of Heckman-Polychronakos operators Cherednik operators and R uijsenaars-- S chneider model at infinity

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.656979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1d12d350-ce3d-4eb6-833a-493f18cfe9d1 · outbound

This paper cites Shifted J ack polynomials, binomial formula, and applications.

Eigenvalues of Heckman-Polychronakos operators Shifted J ack polynomials, binomial formula, and applications

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.647079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ad3b616d-60f0-433d-974b-68764633df20 · outbound

This paper cites A new approach to representation theory of symmetric groups.

Eigenvalues of Heckman-Polychronakos operators A new approach to representation theory of symmetric groups

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.637919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3d237ff8-7f8d-4644-8e4e-f1d84b32d08e · outbound

This paper cites Exchange operator formalism for integrable systems of particles.

Eigenvalues of Heckman-Polychronakos operators Exchange operator formalism for integrable systems of particles

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.627321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1107fea7-6cac-407b-861e-87a4980507ad · outbound

This paper cites Linear representations of finite groups , volume 42.

Eigenvalues of Heckman-Polychronakos operators Linear representations of finite groups , volume 42

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.615910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7fcec833-f16f-441e-bbf3-388686f45a9b · outbound

This paper cites Orthogonal Polynomials and Chevalley Groups , pages 87--128.

Eigenvalues of Heckman-Polychronakos operators Orthogonal Polynomials and Chevalley Groups , pages 87--128

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.605161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ba560669-f1c4-4e39-b3da-6d875c13beee · outbound

This paper cites Some combinatorial properties of J ack symmetric functions.

Eigenvalues of Heckman-Polychronakos operators Some combinatorial properties of J ack symmetric functions

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.594589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7d0326cf-c56e-4dcb-9b9a-fba53e6b1c92 · outbound

This paper cites Sergeev and Alexander P.

Eigenvalues of Heckman-Polychronakos operators Sergeev and Alexander P

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.583938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ad7ae16f-f749-4a53-a630-20ababab8b39 · outbound

This paper cites Rectangular Matrix Additions in Low and High Temperatures.

Eigenvalues of Heckman-Polychronakos operators Rectangular Matrix Additions in Low and High Temperatures

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-12T00:13:09.292082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76b42f7d-f6d4-44e5-ba2f-f5aa63858606 · outbound

This paper cites Compact L ie groups and their representations.

Eigenvalues of Heckman-Polychronakos operators Compact L ie groups and their representations

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:13:09.573647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation e27f418a-bf74-4253-94d3-2b474079ee15 · inbound

$q$-deformed Perelomov-Popov measures and quantized free probability cites this paper.

$q$-deformed Perelomov-Popov measures and quantized free probability Eigenvalues of Heckman-Polychronakos operators

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:01:54.779132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.