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Paper Citation Record · LEDGER

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators

As of 13 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2607.20983.

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

pith.paper-citation-record.v1
2607.20983 v1

Coverage vector

measured 29 of 29 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T08:57:08.516644Z

measured 29 of 29 standing notices

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

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Reference resolution

29 of 29 outbound references displayed

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Outbound references

Observation e94e9db7-8c46-4b19-be36-727bdeba3a3d · outbound

This paper cites Fock,Bemerkung zur Quantelung des harmonischen Oszillators im Magnetfeld, Z.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Fock,Bemerkung zur Quantelung des harmonischen Oszillators im Magnetfeld, Z

Reference 1

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source=pdf_text observed=2026-08-01T08:57:08.404170Z digest=sha256:e0d8bffb7ae22ded4df44539af7bc569ed01f93d5005b166a90818a9609110f9

Observation 33c73f21-0d2b-47cb-a316-5665ec6856e9 · outbound

This paper cites an unresolved cited work.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Unresolved cited work

Reference 2

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source=pdf_text observed=2026-08-01T08:57:08.408893Z digest=sha256:f93698a5ef56b12aba639c8d523c09fff6acab463decefa728205dc3aef2f5bb

Observation b3942aa4-19fa-4162-9ff9-5a461f83f8af · outbound

This paper cites an unresolved cited work.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Unresolved cited work

Reference 3

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source=pdf_text observed=2026-08-01T08:57:08.413181Z digest=sha256:076af1d28016d949aea1b67294a90ba5324cb54350675f0de111571380005515

Observation 3971a37f-d26c-465c-beff-1fde3262ee73 · outbound

This paper cites an unresolved cited work.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-01T08:57:08.417531Z digest=sha256:ac0328ca424d108a503c01149be45e32b6bf93be4919dd5a21cf46a94f76369b

Observation 14863913-4b4b-4aa6-9070-dacaa597ac07 · outbound

This paper cites Luban, J.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Luban, J

Reference 5

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source=pdf_text observed=2026-08-01T08:57:08.421945Z digest=sha256:af9efad4bb0959cab9a7bbb4d083914850f4c4a7b813868cbbd2a93076cd3fe6

Observation 0e33636b-1166-44ad-9de4-ab3f3f469d1a · outbound

This paper cites an unresolved cited work.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Unresolved cited work

Reference 6

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source=pdf_text observed=2026-08-01T08:57:08.425995Z digest=sha256:94a5ab8c1e476187b16db2e738cbb5f5bb68195ab23b0fded75cc04e7e93eebe

Observation bb276b7f-8577-4222-973e-893a1836f0ee · outbound

This paper cites Drigho-Filho, S.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Drigho-Filho, S

Reference 7

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source=pdf_text observed=2026-08-01T08:57:08.430564Z digest=sha256:027ecc7de079ef6a7a4314dd6b42985d0babffe8de09902ca8ba269d24f69a46

Observation 62a14f27-ef07-44a2-a485-33a46244eb6f · outbound

This paper cites Dynamical symmetries of the anisotropic oscillator.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Dynamical symmetries of the anisotropic oscillator

Reference 8

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source=pdf_text observed=2026-08-01T08:57:08.434756Z digest=sha256:1b50dc79ff9159e901c33d7935d88766f474fde37842abde1abd469bcde3f779

Observation fc4b67f8-e351-4403-8b1b-bce12941a777 · outbound

This paper cites Lax,Integrals of nonlinear equations of evolution and solitary waves, Comm.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Lax,Integrals of nonlinear equations of evolution and solitary waves, Comm

Reference 9

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source=pdf_text observed=2026-08-01T08:57:08.439076Z digest=sha256:d99763ea4c9c6a2a955e764e9cce2f549484d10dbcd90286d45a84486733597f

Observation 634748eb-5a4e-4725-ae89-9cfaf96768bc · outbound

This paper cites Flaschka,The Toda lattice.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Flaschka,The Toda lattice

Reference 10

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source=pdf_text observed=2026-08-01T08:57:08.443090Z digest=sha256:4bcf973961233c5da554c1502996ec2eecc518e9b33007e3199bb7f93011db03

Observation 7f6469a9-6bce-4e6f-a11d-0834d7f880f4 · outbound

This paper cites Calogero,Solution of One-Dimensional N-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials, J.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Calogero,Solution of One-Dimensional N-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials, J

Reference 11

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source=pdf_text observed=2026-08-01T08:57:08.446913Z digest=sha256:ee1817ac686273f613ba6b436bc68aab022256d8ae9a458ef13dac7f91bbdf37

Observation 8f7a31bc-ffc1-488e-b31e-60ae187e979d · outbound

This paper cites Sutherland,Exact Results for a Quantum Many-Body Problem in One Dimension, Phys.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Sutherland,Exact Results for a Quantum Many-Body Problem in One Dimension, Phys

Reference 12

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source=pdf_text observed=2026-08-01T08:57:08.450883Z digest=sha256:ce34dd03cdb0f442447f3d18629c854da94862af95e92e41ad69dd185de0b6c2

Observation f427bfdf-8ebe-4ae4-bc1e-5de05e4d9bd3 · outbound

This paper cites Sutherland,Exact Results for Quantum Many-Body Problem in One Dimension.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Sutherland,Exact Results for Quantum Many-Body Problem in One Dimension

Reference 13

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source=pdf_text observed=2026-08-01T08:57:08.455432Z digest=sha256:570b9fb7ae26a1bd9c7d87fcf7efc4e108e74ae0be32d8da9032205b4d753726

Observation f818644c-f5b0-4a3e-b0d2-c7ce51f4dd5a · outbound

This paper cites Moser,Three integrable Hamiltonian systems connnected with isospectral deformations, Adv.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Moser,Three integrable Hamiltonian systems connnected with isospectral deformations, Adv

Reference 14

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source=pdf_text observed=2026-08-01T08:57:08.459211Z digest=sha256:a153f86b714ccf5045517346dbd63e802c23b041841f0f27b6fd2329a2ef5b8f

Observation 49875b78-0e62-4a83-a783-0fbce8f5e34f · outbound

This paper cites Arutyunov,Elements of Classical and Quantum Integrable Systems, Springer Nature Switzerland AG (2019).

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Arutyunov,Elements of Classical and Quantum Integrable Systems, Springer Nature Switzerland AG (2019)

Reference 15

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source=pdf_text observed=2026-08-01T08:57:08.463143Z digest=sha256:30dac7aeac6c66acce857b96736a8fb7e876f9c05b0281332785d444cb0e2609

Observation 0ab81c50-bc11-42ff-8814-2e31fe17879e · outbound

This paper cites Hoppe,Lectures on Integrable Systems, Springer-Verlag, Berlin (1992).

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Hoppe,Lectures on Integrable Systems, Springer-Verlag, Berlin (1992)

Reference 16

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source=pdf_text observed=2026-08-01T08:57:08.466950Z digest=sha256:657017500476e7061a2c5c097e1ad739ff14b0d4e534d47d1b49c2d4aef57de2

Observation 74630765-5564-4839-ba10-99cf319ac3fd · outbound

This paper cites Avan and M.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Avan and M

Reference 17

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source=pdf_text observed=2026-08-01T08:57:08.470529Z digest=sha256:ae74e63ebccfd5d59798641aee5aad47817781338eebb42695c9fb1d50412419

Observation 0023c59e-8eec-41db-9f3b-1407bd6965c4 · outbound

This paper cites an unresolved cited work.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-01T08:57:08.474096Z digest=sha256:b6ef5544a261d56618a804444d7da7f737a6e9bb836308ba4d56b3481f36a79d

Observation d6945fb7-b8b9-4974-9247-5aa190360927 · outbound

This paper cites Babelon, D.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Babelon, D

Reference 19

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source=pdf_text observed=2026-08-01T08:57:08.478241Z digest=sha256:39e3543c94fd6fcbe10ba4975d20c7a7afa72c7a8ce6e9cb9eba3439b3337556

Observation 0b8d2f23-ffb6-4bba-b87c-c66d3ed254af · outbound

This paper cites On the Hamiltonian formulation, integrability and algebraic structures of the Rajeev-Ranken model.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators On the Hamiltonian formulation, integrability and algebraic structures of the Rajeev-Ranken model

Reference 20

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source=pdf_text observed=2026-08-01T08:57:08.482028Z digest=sha256:58b3ba539e23815f1590585d40ddb03ea1f735f2855a4a9bfe2b0febf489a708

Observation bb08b126-f821-4d81-b1b3-2ab5268d89d3 · outbound

This paper cites Eilbeck, V.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Eilbeck, V

Reference 21

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source=pdf_text observed=2026-08-01T08:57:08.486355Z digest=sha256:3df502f380e1634bb6cc7f648459406a8b2b64fbfcd9e4d3d104f5c4b8b4bd53

Observation ca9d600c-ff76-4055-a43d-6a1f09c28341 · outbound

This paper cites Dubrovin and T.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Dubrovin and T

Reference 22

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source=pdf_text observed=2026-08-01T08:57:08.490135Z digest=sha256:a6d40fc287aaa4456eb7fb2cd0a26c6caf91e7d9ea6bd485761885f7eba98660

Observation 2092b5f8-3586-4e74-a019-933cd84db238 · outbound

This paper cites Das,Integrable Models, World Scientific (1989).

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Das,Integrable Models, World Scientific (1989)

Reference 23

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source=pdf_text observed=2026-08-01T08:57:08.493873Z digest=sha256:6a73b720d65584092a0385d9c10595058120eb49a67481ffeb08b81e4464970f

Observation 9cdb2cf6-b7c7-4522-bda2-89de5c998fd3 · outbound

This paper cites an unresolved cited work.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Unresolved cited work

Reference 24

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source=pdf_text observed=2026-08-01T08:57:08.497680Z digest=sha256:690c0f5a0de93030d53d253717707d6f026bf2d879ddf9d0c26b724de85b3e97

Observation 24cff912-5e88-429e-8a38-b8b1c9b7260d · outbound

This paper cites Magri,A simple model of the integrable Hamiltonian equation, J.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Magri,A simple model of the integrable Hamiltonian equation, J

Reference 25

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source=pdf_text observed=2026-08-01T08:57:08.501488Z digest=sha256:32b0b1e77ee0928026c672c41e18184d233bff820977ab1042442eff7738833b

Observation af913450-a946-4f3c-bf26-209d1bb3acdc · outbound

This paper cites Magri and C.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Magri and C

Reference 26

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source=pdf_text observed=2026-08-01T08:57:08.505174Z digest=sha256:8d61e675d54453e0364bda894c21a42669ea2f4b4ea4307def6affbd9b864234

Observation b0aae48f-e43c-43e7-ad32-e07bff6172cf · outbound

This paper cites Abanov, A.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Abanov, A

Reference 27

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source=pdf_text observed=2026-08-01T08:57:08.509236Z digest=sha256:bf06071b309bfb5b8b6cef58fa7992c05978d7c83f6996a9d1f1f6aa135762e4

Observation 473573a5-2540-4959-bf94-b46563514301 · outbound

This paper cites Babelon and C-M.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Babelon and C-M

Reference 28

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source=pdf_text observed=2026-08-01T08:57:08.512836Z digest=sha256:1e45bb257a100623fe7b09800a07082e19bf42a6b282a045b351ee4cabd84ed4

Observation 56010ba6-4acd-443f-afe0-f2130d5c8b03 · outbound

This paper cites Bandyopadhyay,Orbital magnetism of two-dimensional electron gas in a crossed electromagnetic field: the effect of spin-orbit interaction, confined geometries and defects, J.

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators Bandyopadhyay,Orbital magnetism of two-dimensional electron gas in a crossed electromagnetic field: the effect of spin-orbit interaction, confined geometries and defects, J

Reference 29

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source=pdf_text observed=2026-08-01T08:57:08.516644Z digest=sha256:96aaa929224c2b26ae1acd31028047035d72e1c808df1efd9720720bc0cf3e03

Pith citing papers

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