Pith. sign in

Paper Citation Record · LEDGER

Dynamical symmetries of the anisotropic oscillator

As of 4 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2304.14306.

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

pith.paper-citation-record.v1
2304.14306 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T08:59:54.465451Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T08:57:08.434756Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ae48dd56-d840-4190-89bc-669293e642d9 · outbound

This paper cites an unresolved cited work.

Dynamical symmetries of the anisotropic oscillator Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-24T09:06:07.339683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:ef0fb6e59626948b0cd521b22f21db2ab1877d03cd8b67e9c8865bea792ad949

Observation 4545d41f-899c-4816-beb1-c484b36fb96c · outbound

This paper cites an unresolved cited work.

Dynamical symmetries of the anisotropic oscillator Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-24T09:06:07.342204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:1b4682f09e817b145233e20f30c70f2073e16ec4ff328c10b7e3b770e79f7a09

Observation 4deab83e-f5b0-426d-a7ac-0c9f29a25784 · outbound

This paper cites {Xj, Pk} = δjk and {Xj, Xk} = {Pj, Pk} = 0, where {·, ·} is the Poisson bracket evaluated in the Xj, P j basis.

Dynamical symmetries of the anisotropic oscillator {Xj, Pk} = δjk and {Xj, Xk} = {Pj, Pk} = 0, where {·, ·} is the Poisson bracket evaluated in the Xj, P j basis

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T09:06:07.345274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:49a8600eaba2a42b57c6a6ef56fc82181e319b7bc4ff3e0e517bae0098a80f7e

Observation a7d91b3d-73c8-4d19-9e66-9fdf57a64542 · outbound

This paper cites In the following discussion, we suppress the index j and focus on two general functions X = X (X, P ) and P = P(X, P ), where we assume that P ̸ = 0.

Dynamical symmetries of the anisotropic oscillator In the following discussion, we suppress the index j and focus on two general functions X = X (X, P ) and P = P(X, P ), where we assume that P ̸ = 0

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T09:06:07.333804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:6d493814ff69fc66128787931b303672b9248961da7235c4e339a474b5942b33

Observation 35fd7c31-a40d-47dd-972c-dc22d6bcbcca · outbound

This paper cites an unresolved cited work.

Dynamical symmetries of the anisotropic oscillator Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-24T09:06:07.336850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:e29ab80df68394f379d06fbc232ab692d778744e3d4af15df1b9c7fdbcdefea7

Observation 956ca80a-52ad-4320-aecf-1ee02f1941a1 · outbound

This paper cites (28) We have put the superscript ‘ ǫ’ in labelling the conserved quantities to remind the reader that they are obtained in the limit ω 1 ≈ ω 2.

Dynamical symmetries of the anisotropic oscillator (28) We have put the superscript ‘ ǫ’ in labelling the conserved quantities to remind the reader that they are obtained in the limit ω 1 ≈ ω 2

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T09:06:07.330276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:1135bda2510366a020d195cf9e834f282d19488c8c1e6d00fa25d1ed2021460e

Observation daa1a675-4e4b-4efe-8db6-dcbe84f310d2 · outbound

This paper cites an unresolved cited work.

Dynamical symmetries of the anisotropic oscillator Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-24T09:06:07.327016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:93cf0adb57317222b04ddd1add97b4291e13b6d877d6445c674ec8c3dc89d2eb

Observation c9f6a851-d06a-4022-b46e-2406343f8c16 · outbound

This paper cites an unresolved cited work.

Dynamical symmetries of the anisotropic oscillator Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-24T09:06:07.379386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:0a47771323b3ae153bde93fd21fa8b1b8c4adcecb12ef5c95ef1bff6da739c09

Observation 6b28ec5a-db8e-4ce3-89c5-e0381d8faa6c · outbound

This paper cites an unresolved cited work.

Dynamical symmetries of the anisotropic oscillator Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-24T09:06:07.382117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:6e1b7dbf66bf193314087139b3c95e900dc8718dd4edd8f2fb17a5bf95860fca

Observation 50399398-4132-49fb-b11e-a791ee6e462b · outbound

This paper cites One can indeed verify that the conserved quantities listed above Po isson-commute with the Hamiltonian of the two-dimensional anisotropic oscillator, which is just I0.

Dynamical symmetries of the anisotropic oscillator One can indeed verify that the conserved quantities listed above Po isson-commute with the Hamiltonian of the two-dimensional anisotropic oscillator, which is just I0

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T09:06:07.373396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:a40cd904b384c9edeb61fd561b96adab9092826b3df43fbfc4a1345dc7b3ebfd

Observation 2ae594c9-e243-42ca-a05f-32eaf1c60d4c · outbound

This paper cites an unresolved cited work.

Dynamical symmetries of the anisotropic oscillator Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-24T09:06:07.365939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:1c1b6d955d6a4299ec186043657bf41b1d2deb980ae4c7eb8bbfb29f3011260d

Observation 782847ee-bde1-4f27-9455-553d5a619928 · outbound

This paper cites an unresolved cited work.

Dynamical symmetries of the anisotropic oscillator Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-05-24T09:06:07.369898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:d4a8ebc518c3984476956217201e8628e3e61e8a6e8e782e75ed0c01ab36a504

Observation 5f9138d1-df65-433d-8b4a-9347ab0440ff · outbound

This paper cites Marquette, Classical ladder operators, polynomial Poisson algebras, and classification of superintegrable systems , J.

Dynamical symmetries of the anisotropic oscillator Marquette, Classical ladder operators, polynomial Poisson algebras, and classification of superintegrable systems , J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T09:06:07.376191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:702c6c7983225418caba1a806df955821a568d1bde30e92eac9abd82baedbb7b

Observation bc5ee820-0d5b-43aa-8be6-8bd22775b5bb · outbound

This paper cites Amiet and S.

Dynamical symmetries of the anisotropic oscillator Amiet and S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T09:06:07.385264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:062280bb37e92161b15bdd1f8ab7f1a1210af9cdba72928eff2795dc2b1f38fd

Observation 5f810d80-a8a8-469e-8d18-1f5dc779b4c8 · outbound

This paper cites Chatterjee, Dynamical Symmetries and Nambu Mechanics , Lett.

Dynamical symmetries of the anisotropic oscillator Chatterjee, Dynamical Symmetries and Nambu Mechanics , Lett

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T09:06:07.388471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:6a2487538f7e135f5b5ab1f27852f5090827be76150cf16276b4ae49325fd596

Observation b5a59bfc-de0b-4b6d-b844-47ffe62dc823 · outbound

This paper cites an unresolved cited work.

Dynamical symmetries of the anisotropic oscillator Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-24T09:06:07.354202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:f43aadabc4aabb5087e96c3fd0f3a3e784e088312b3fd5b573084e5d14e6485b

Observation 167286ec-7b41-4f28-8488-155550b7f671 · outbound

This paper cites an unresolved cited work.

Dynamical symmetries of the anisotropic oscillator Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-24T09:06:07.357026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:c05a4f428c57a0a83afd24892adbcfab06e6dc78abd14868ff7312de37a13f7a

Observation f3ef2a44-2ad1-4790-99ec-7f1865967122 · outbound

This paper cites an unresolved cited work.

Dynamical symmetries of the anisotropic oscillator Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-05-24T09:06:07.360124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:1a2fe637905e6117c5b45d70666be1107e720d540e5c0bbe0bb4a8d405827f34

Observation f84013bd-bee3-48a1-bd97-7dacb0995559 · outbound

This paper cites Bhaumik, A Chatterjee and B.

Dynamical symmetries of the anisotropic oscillator Bhaumik, A Chatterjee and B

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T09:06:07.363108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:9941cc3693db7c48f7f14bf10534cb7031258257b9dcd3e7eaead63da3c9f071

Observation aaffe703-c2b4-41d6-bd43-5aba013db0f9 · outbound

This paper cites Goldstein, C.

Dynamical symmetries of the anisotropic oscillator Goldstein, C

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T09:06:07.351265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:7698954bc54cce9d68b1258b7905584647810513faf38bb9dea33a9c7843dfa6

Observation b9850656-1197-41b3-a3b6-edce136b9f56 · outbound

This paper cites an unresolved cited work.

Dynamical symmetries of the anisotropic oscillator Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-05-24T09:06:07.348489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-24T08:59:54.465451Z digest=sha256:38a4d8ee8dfd083816052fcc9e11fef9f70c76578212ab9d514d787ebc38436d

Pith citing papers

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

Lax pairs and $r$-matrices for some two-dimensional isotropic oscillators cites this paper.

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

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T08:57:08.434756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:57:08.434756Z digest=sha256:63d3206a7180317751874fbd0845042ddd01f2a5eb09de3b01708ea153e8365c