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Paper Citation Record · LEDGER

Ruijsenaars spectral transform

As of 15 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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.192366Z digest=sha256:a57bfbfc1273eb1d08ce62b1caaf99cb392df82f61d009d0c4441b558f209462

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.197461Z digest=sha256:bd551e6d619dbf9ce31fe8294fece1762e341c69fbc2c5992fdbda724d9c2e68

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.202628Z digest=sha256:17031d89e6b3b264dca5f4238df02e11e3d7ea7d9f7e564203d7e7e74b89ccb2

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

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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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.207849Z digest=sha256:7bd423a1817effed65d8d737b758c8a9ff4b33b0a9aad7e69e07f0063e526905

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

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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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.212824Z digest=sha256:20124171af01989d5f922654ae52e1e0773bda7d207df5355144331b4ba14ae4

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.217871Z digest=sha256:8cf63cfeed0927d965b40601cdd703271e1286ef97b9652eff7de3e6bd17f9f1

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.223279Z digest=sha256:ae70f2f862327bc8796ae4714ac892fa8fd4d35d256489d3a0a9e0729d3ff561

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
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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=sha256:9bcba26087cf76764d0b9650d6d992f57c4541a6e10daaf716520a52e04fa1e6

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=sha256:3e3a9eef55a3afd8cb926ce6dfbe71c375d0f30690a3b43ec9207ce95e68e21c

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.237548Z digest=sha256:f71ee4e2469b1ac66b9e53e632b9057b180a7a6689c0c66ad5379b4cf8dc04c7

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.242114Z digest=sha256:3e333cb28c93bf606016f3de6c0a229964dfbdfd775f9fa1c1d7323b9700c7d2

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.247158Z digest=sha256:8f780aa33a665a7cfc1bedd06fb9dd2ac6a8a320d3be302c9ecab9bd4b082013

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=sha256:4994f0f95a20dba8895752800692837c3c07cc25a0d95373b7edea26b05ad684

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=sha256:6292fd8ddcb801f90cfd65246d30e08ca2223f458fb3705ca7f18884dd0b793d

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.260601Z digest=sha256:6cb0524002fda6c6ce86eccd4d78d8d7145b9984cac75e615881383a8de7930b

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:e8d359e2819ee3a203b8d7031c48a919670ee232271a906fb7f11646caab1cd1

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.270243Z digest=sha256:fc087f0d5528be529a7e38928bba8d9623431dde00247d8a5de1d1bea9c0cd14

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.274966Z digest=sha256:f4b64befc0702bbe6224584ea276c0f62c57ca547c0d599538c07f14071166e0

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.279670Z digest=sha256:a03db594fadb50018224da77ac23fe47ff4056f6779e54406ace4fa012f53795

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=sha256:0ae594b58847f15a84648f48ea85b0ef9cb94a67e3ae4f714f22e7b1054cf28a

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=sha256:9ee5624964a43f8e25c1028cb52d50fcf8d3c4efd52d5dd011ab92ad5113ad06

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.294785Z digest=sha256:3ba6445680d10271bc9ce4fdfc67308f49fa04182881aa03e37c15d96972844c

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:c46ed971860cf676b8bf4fb199cb75531369a755f745a3b7668ce6b1eb759506

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.303993Z digest=sha256:71d70d3881aa5025bae50ff03560fbfa8354949991ba20b6885bfde733d66795

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.309147Z digest=sha256:38a26d37e8793f55c8bca9fbec0cd393b1e443aa4d6bf32e36343dd701ca3a57

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=sha256:45a5a65072ca5f3c52c798d3ec67b1db941aa1d0cc3a192540a03c179ce1d3cf

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T06:04:59.318664Z digest=sha256:0440a5e5f905b44a53ed819d9d6529ea247693e1a801b9c563b2bbded8654cf2

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:abf3e676464dd578e23f178afc21399ea7d88c7d060e900947a81e0665824a18

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=sha256:16810391ebfec7d52fb2741b718e23acc760edb1b4896fa055e62b17b55c9d1e

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=sha256:6e1944e6de09c133750d8af3f45b017602a5c4683b390d6c5fd3288aedb525df

Pith citing papers

No inbound Pith citation observations are available.