Pith. sign in

Paper Citation Record · LEDGER

Ruijsenaars spectral transform

As of 20 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2411.19659.

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

pith.paper-citation-record.v1
2411.19659 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T06:04:59.332842Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

30 of 30 outbound references displayed

  • verified exact14
  • verified fuzzy1
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 681a7b6c-0246-451f-80e0-aa45f7ee96db · outbound

This paper cites an unresolved cited work.

Ruijsenaars spectral transform Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T06:04:59.864883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.192366Z digest=sha256:be5cc7e2aea127922e1a50cdb13221e5f111635fc6949cd058c53fcd3605c27f

Observation 483a6e42-620d-4a67-a2b5-9ba9726a3d1c · outbound

This paper cites Integral Representations of the Macdonald Symmetric Functions.

Ruijsenaars spectral transform Integral Representations of the Macdonald Symmetric Functions

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-12T06:04:59.804540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.197461Z digest=sha256:f763d81365cf374e43e961774db5dc4f5b2d3be46d3e82aa39a057fc6503b228

Observation e5f3a82c-68e9-4eec-91d6-cebfe3d991d6 · outbound

This paper cites an unresolved cited work.

Ruijsenaars spectral transform Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T06:04:59.850378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.202628Z digest=sha256:3e9a04a424a48f5d5ba526f38a7838cdcb34a09649eabc19b84f86068a186e9b

Observation 7bbb7c72-e81f-4a90-9ec0-678e1b6f54e6 · outbound

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

Ruijsenaars spectral transform Baxter operators in Ruijsenaars hyperbolic system I. Commutativity of Q-operators

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-12T06:04:59.785011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.207849Z digest=sha256:7c1c99cb4d468cb18d013f0893b07bbff248a94ba028d767f57fc031ce3e3e02

Observation 96b8b9b2-970a-4c44-8462-e8b4c5a37664 · outbound

This paper cites Baxter operators in Ruijsenaars hyperbolic system II. Bispectral wave functions.

Ruijsenaars spectral transform Baxter operators in Ruijsenaars hyperbolic system II. Bispectral wave functions

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-12T06:04:59.765029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.212824Z digest=sha256:f481e1736c79347885365d2e6812bab78c67c94f937b68b6d681a39506945654

Observation 8c344e4d-8fb6-4899-bc5e-331d79cf5e10 · outbound

This paper cites Baxter operators in Ruijsenaars hyperbolic system III. Orthogonality and completeness of wave functions.

Ruijsenaars spectral transform Baxter operators in Ruijsenaars hyperbolic system III. Orthogonality and completeness of wave functions

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-12T06:04:59.744109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.217871Z digest=sha256:a1711ee1725fc15f6c638e08fffb576f0beb14595ae9ea5ce526f5f99323e59c

Observation ce91c069-b819-4eba-8c4b-050d873ba51f · outbound

This paper cites Baxter operators in Ruijsenaars hyperbolic system IV. Coupling constant reflection symmetry.

Ruijsenaars spectral transform Baxter operators in Ruijsenaars hyperbolic system IV. Coupling constant reflection symmetry

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-12T06:04:59.723737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.223279Z digest=sha256:ff3161d769606a2fd11d40a3749ee523a3d197d3a0c2074432de1cf2575bca55

Observation 1a376d64-8c9a-47ef-b0e3-bdd9e974003d · outbound

This paper cites Defects and Quantum Seiberg-Witten Geometry.

Ruijsenaars spectral transform Defects and Quantum Seiberg-Witten Geometry

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-12T06:04:59.228211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T06:04:59.228211Z digest=sha256:28065ffb6dec4fcfb625a9567f1532f4163559866692552c476e5773c678c4f9

Observation 009696c0-2051-4d37-80dd-7a1bbd3cd62e · outbound

This paper cites R-operator, co-product and Haar-measure for the modular double of U_q(sl(2,R)).

Ruijsenaars spectral transform R-operator, co-product and Haar-measure for the modular double of U_q(sl(2,R))

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-12T06:04:59.232875Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T06:04:59.232875Z digest=sha256:f94b9c3980c45358e4194a03094dfad559f57b76354f7101471fb538139f7593

Observation 77e93670-b4bc-40b7-a4e2-c584a1bad5ab · outbound

This paper cites Ruijsenaars wavefunctions as modular group matrix coefficients.

Ruijsenaars spectral transform Ruijsenaars wavefunctions as modular group matrix coefficients

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-12T06:04:59.674904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.237548Z digest=sha256:80869319f341f8807963b211ca40e1c71e3226e82453fa065159bafc9eeeaad5

Observation 4f5da3d7-1c69-4754-88cf-70d5fcfc93eb · outbound

This paper cites On the separation of variables for the modular XXZ magnet and the lattice Sinh-Gordon models.

Ruijsenaars spectral transform On the separation of variables for the modular XXZ magnet and the lattice Sinh-Gordon models

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-12T06:04:59.654981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.242114Z digest=sha256:9202b4957c91b988b2b4fcbbfd67fcab71c0775e926496ad353ec0d5b71c186b

Observation 31f592fd-11aa-4210-9f4f-8d16dc88a33d · outbound

This paper cites Completeness of SoV Representation for $\mathrm{SL}(2,\mathbb R)$ Spin Chains.

Ruijsenaars spectral transform Completeness of SoV Representation for $\mathrm{SL}(2,\mathbb R)$ Spin Chains

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-12T06:04:59.634431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.247158Z digest=sha256:16edd1a1d48f095dd908f471c926d114047f2df09d9b116327689f830adcf5ca

Observation 0499ed17-f4ed-4a92-889e-d3df5191a8cc · outbound

This paper cites Discrete Heisenberg-Weyl Group and Modular Group.

Ruijsenaars spectral transform Discrete Heisenberg-Weyl Group and Modular Group

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-12T06:04:59.251549Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T06:04:59.251549Z digest=sha256:65207722d202647abfca2c8d07f5e245dfb29d045917888b1ddd0ae8b8af0ce5

Observation 54d473f6-d72e-401d-aa21-fcb450780743 · outbound

This paper cites Modular Double of Quantum Group.

Ruijsenaars spectral transform Modular Double of Quantum Group

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-12T06:04:59.256121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T06:04:59.256121Z digest=sha256:d1cf0fcdf37f886a5eb898f4a2e1e51604a0565154dd0bb9819cf035163cdb16

Observation fa80a599-fae3-43f0-ba25-0ea47352a3b9 · outbound

This paper cites Discrete series of representations for the modular double of U_q(sl(2,R)).

Ruijsenaars spectral transform Discrete series of representations for the modular double of U_q(sl(2,R))

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-12T06:04:59.581750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.260601Z digest=sha256:03506b8c3b83c30edaa8826318890268d1ae900e486df0c40a6760a6e0719c0e

Observation cc39a733-8dd9-4522-9c45-53433c301baf · outbound

This paper cites Joint eigenfunctions for the relativistic Calogero-Moser Hamiltonians of hyperbolic type. I. First steps.

Ruijsenaars spectral transform Joint eigenfunctions for the relativistic Calogero-Moser Hamiltonians of hyperbolic type. I. First steps

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-12T06:04:59.265290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T06:04:59.265290Z digest=sha256:c95c50311f988d1bd6a3697fc08fa85579978772f95a068be9aded1ceefdc070

Observation 039cc247-502f-4b3a-8c36-19f41a7f6c1a · outbound

This paper cites Joint eigenfunctions for the relativistic Calogero-Moser Hamiltonians of hyperbolic type. II. The two- and three-variable cases.

Ruijsenaars spectral transform Joint eigenfunctions for the relativistic Calogero-Moser Hamiltonians of hyperbolic type. II. The two- and three-variable cases

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-12T06:04:59.544618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.270243Z digest=sha256:453066133c40af54c298d2552e208b75942d0c62672a5e7846b2903c9854c5a9

Observation 03d68a5f-666a-40d5-b5f5-a45952063b04 · outbound

This paper cites Joint eigenfunctions for the relativistic Calogero-Moser Hamiltonians of hyperbolic type. III. Factorized asymptotics.

Ruijsenaars spectral transform Joint eigenfunctions for the relativistic Calogero-Moser Hamiltonians of hyperbolic type. III. Factorized asymptotics

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-12T06:04:59.523356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.274966Z digest=sha256:b3a7559c44fadc19848900357314ee9251a357d156b084e0aa9c883c7e4c6c8e

Observation 919b3275-9327-425b-b0aa-8c408e9d5d0a · outbound

This paper cites an unresolved cited work.

Ruijsenaars spectral transform Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-12T06:04:59.836380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.279670Z digest=sha256:2e3150ed14c083b8c1278981d45c8f0ae849583915923f6895899c5d14b3fcec

Observation cc385add-7bfd-4391-9a33-d82edad1f299 · outbound

This paper cites Kurokawa, S-Y.

Ruijsenaars spectral transform Kurokawa, S-Y

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-12T06:04:59.285587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T06:04:59.285587Z digest=sha256:edf016d851038a935da1e64e8e8cbb7806ab7e04a25c8a265c3595e0294bc7bb

Observation b6160f2b-f240-4d9d-b344-f34c2f4b1f63 · outbound

This paper cites Unitary representations of $U_{q}(\mathfrak{sl}(2,\RR))$, the modular double, and the multiparticle q-deformed Toda chains.

Ruijsenaars spectral transform Unitary representations of $U_{q}(\mathfrak{sl}(2,\RR))$, the modular double, and the multiparticle q-deformed Toda chains

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-12T06:04:59.290181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T06:04:59.290181Z digest=sha256:bca1cfe48e99c4270b1343855e91a5c1c6251806b164309f098e03f6a26fd604

Observation 747ca76b-d541-4beb-a265-3bd500d04205 · outbound

This paper cites Macdonald, Symmetric functions and Hall Polynomials, Second edition, Oxford, Oxford University Press (1995).

Ruijsenaars spectral transform Macdonald, Symmetric functions and Hall Polynomials, Second edition, Oxford, Oxford University Press (1995)

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T06:04:59.820809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.294785Z digest=sha256:ee37b3d9040c773de0b73a9e97dab9128af60cf4a946a918d8202ec9d11d564b

Observation 3e9a1714-d0bc-4722-8587-f1264e172182 · outbound

This paper cites an unresolved cited work.

Ruijsenaars spectral transform Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-12T06:04:59.299411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T06:04:59.299411Z digest=sha256:96f8a74ed6138dec6bf35d072cc4de121eb9500fa927106a09f9358e6cb5c3b4

Observation 557a0d12-24f7-48c2-94f7-89354a08ebfc · outbound

This paper cites an unresolved cited work.

Ruijsenaars spectral transform Unresolved cited work

Reference 24

Resolution
verified exact
doi, observed 2026-08-12T06:04:59.467963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.303993Z digest=sha256:e7ea82a0eef816e23038a7e313502c05d34477217d471d9f67f701ce8ad83530

Observation 9750da46-bd57-48fd-b70c-949e3c014834 · outbound

This paper cites an unresolved cited work.

Ruijsenaars spectral transform Unresolved cited work

Reference 25

Resolution
verified exact
doi, observed 2026-08-12T06:04:59.452419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.309147Z digest=sha256:267317ac714047cf699be5c8626dce5bcb5bab445e78ed78833da44ce3aacaea

Observation 49d0fdca-147d-493f-abc7-74e155dec4f7 · outbound

This paper cites A Relativistic Conical Function and its Whittaker Limits.

Ruijsenaars spectral transform A Relativistic Conical Function and its Whittaker Limits

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-12T06:04:59.313778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T06:04:59.313778Z digest=sha256:1bfee72ef8bff89a197fc94749cd7dc9d68a0452f7096490496644fb0f2d6fa7

Observation e3c78136-334b-423b-9ca9-f3c4943b3d8c · outbound

This paper cites Complex hypergeometric functions and integrable many-body problems.

Ruijsenaars spectral transform Complex hypergeometric functions and integrable many-body problems

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-12T06:04:59.420930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.318664Z digest=sha256:8825d73c014c97904ba3be9a836437ca805de619d42d52431881504e420e89c6

Observation 67357c64-539b-430f-96eb-f28ced8be6f2 · outbound

This paper cites On $b$-Whittaker functions.

Ruijsenaars spectral transform On $b$-Whittaker functions

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-12T06:04:59.323828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T06:04:59.323828Z digest=sha256:946af2c9ab5ff12adaf887e2408dbb523f1343d71f11077d0ddd6758d77ee729

Observation 9d221b1b-f2ad-43f8-9afa-d068bf78e22e · outbound

This paper cites From Liouville Theory to the Quantum Geometry of Riemann Surfaces.

Ruijsenaars spectral transform From Liouville Theory to the Quantum Geometry of Riemann Surfaces

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-12T06:04:59.328305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T06:04:59.328305Z digest=sha256:b2e29af7cbf3b0db466cc8aadd1b705454a967efa5f99c6420d16bdadc3bf6f1

Observation 1c050c48-b71e-438f-9dbb-ec11e34c8006 · outbound

This paper cites Supersymmetric gauge theories, quantization of moduli spaces of flat connections, and conformal field theory.

Ruijsenaars spectral transform Supersymmetric gauge theories, quantization of moduli spaces of flat connections, and conformal field theory

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-12T06:04:59.332842Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T06:04:59.332842Z digest=sha256:95b17beb417b99a0d618e2c036698c75a642ba6a05d377e4bfabb4730cde0949

Pith citing papers

No inbound Pith citation observations are available.