Paper Citation Record · LEDGER

A discrete Smorodinsky--Winternitz I superintegrable system

As of 17 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2608.12899.

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

pith.paper-citation-record.v1
2608.12899 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:05:06.377748Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

31 of 31 outbound references displayed

verified exact0
verified fuzzy4
unresolved27
parse uncertain0
malformed identifier0
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External citation measurements

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Outbound references

Observation 0f206159-223b-41ad-9bcf-55ea5db6433d · outbound

This paper cites Arthamonov and N.

A discrete Smorodinsky--Winternitz I superintegrable system Arthamonov and N

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.272101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2bf2a3ef-fc2c-4812-98d9-55f778ee14b7 · outbound

This paper cites an unresolved cited work.

A discrete Smorodinsky--Winternitz I superintegrable system Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:05:06.627702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b2699eab-0c22-436b-b1fb-b470e3e54e61 · outbound

This paper cites The radial model, Journal of Physics A: Mathematical and General34(2001), no.

A discrete Smorodinsky--Winternitz I superintegrable system The radial model, Journal of Physics A: Mathematical and General34(2001), no

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.280114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3730a3d-b7d9-4dbc-92e7-625990c981fb · outbound

This paper cites an unresolved cited work.

A discrete Smorodinsky--Winternitz I superintegrable system Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:05:06.611504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7e45c3f8-ace9-4b1c-9464-5c032cfd00e0 · outbound

This paper cites Contiguity relations for finite families of orthogonal polynomials in the Askey scheme.

A discrete Smorodinsky--Winternitz I superintegrable system Contiguity relations for finite families of orthogonal polynomials in the Askey scheme

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.288782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa542213-b494-4491-9384-10f047bc6768 · outbound

This paper cites 15, L789–L794.

A discrete Smorodinsky--Winternitz I superintegrable system 15, L789–L794

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.292885Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71ed1706-2759-4822-8eb9-4ed1aa1e0e8e · outbound

This paper cites 3, 1100–1119.

A discrete Smorodinsky--Winternitz I superintegrable system 3, 1100–1119

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:05:06.594170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6d929ed5-9431-4835-b053-ad125b7f0b3f · outbound

This paper cites an unresolved cited work.

A discrete Smorodinsky--Winternitz I superintegrable system Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.301218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8e73aba-ee52-414e-ab42-671bab9c414a · outbound

This paper cites 14, 1531–1535.

A discrete Smorodinsky--Winternitz I superintegrable system 14, 1531–1535

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.304476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58bd1216-bebc-4129-ba92-6424cf5ef7ff · outbound

This paper cites Friˇ s, V.

A discrete Smorodinsky--Winternitz I superintegrable system Friˇ s, V

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.307665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1542e57-d65d-4945-b0a3-0905e16d52fb · outbound

This paper cites Genest, Jessica Lemieux, and Luc Vinet,A superintegrable discrete oscillator and two-variable Meixner polynomials, Journal of Physics A: Mathe- matical and Theoretical48(2015), no.

A discrete Smorodinsky--Winternitz I superintegrable system Genest, Jessica Lemieux, and Luc Vinet,A superintegrable discrete oscillator and two-variable Meixner polynomials, Journal of Physics A: Mathe- matical and Theoretical48(2015), no

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.310760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1dbc3b71-c82c-4fa4-accc-45511e62f2a3 · outbound

This paper cites Genest, Hiroshi Miki, Luc Vinet, and Guo-Fu Yu,A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials, Physics of Atomic Nuclei80 (2017), no.

A discrete Smorodinsky--Winternitz I superintegrable system Genest, Hiroshi Miki, Luc Vinet, and Guo-Fu Yu,A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials, Physics of Atomic Nuclei80 (2017), no

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.314211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72103a73-e0dd-4e7b-82fd-087108cad373 · outbound

This paper cites Genest and Luc Vinet,The multivariate Hahn polynomials and the singular oscillator, Journal of Physics A: Mathematical and Theoretical47(2014), no.

A discrete Smorodinsky--Winternitz I superintegrable system Genest and Luc Vinet,The multivariate Hahn polynomials and the singular oscillator, Journal of Physics A: Mathematical and Theoretical47(2014), no

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.317464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3fec8af9-b60a-4f7e-abb2-83d5f342e60a · outbound

This paper cites Genest, Luc Vinet, and Alexei Zhedanov,Superintegrability in two dimensions and the Racah–Wilson algebra, Letters in Mathematical Physics104(2014), no.

A discrete Smorodinsky--Winternitz I superintegrable system Genest, Luc Vinet, and Alexei Zhedanov,Superintegrability in two dimensions and the Racah–Wilson algebra, Letters in Mathematical Physics104(2014), no

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.320523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f4d33d7-f0b9-44b3-aaef-8aebb626c0a6 · outbound

This paper cites Geronimo and Plamen Iliev,Bispectrality of multivariable Racah–Wilson poly- nomials, Constructive Approximation31(2010), no.

A discrete Smorodinsky--Winternitz I superintegrable system Geronimo and Plamen Iliev,Bispectrality of multivariable Racah–Wilson poly- nomials, Constructive Approximation31(2010), no

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:05:06.540786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4c8a77a4-7c75-4ee5-b696-11b858d5ded6 · outbound

This paper cites an unresolved cited work.

A discrete Smorodinsky--Winternitz I superintegrable system Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.327551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 540825b1-1d89-4a73-93e1-5df8f459425d · outbound

This paper cites an unresolved cited work.

A discrete Smorodinsky--Winternitz I superintegrable system Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.330772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4de7946d-395c-42aa-97e1-1f46e58f8fd5 · outbound

This paper cites an unresolved cited work.

A discrete Smorodinsky--Winternitz I superintegrable system Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:05:06.517159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 29dd957c-4a97-4820-b9dc-14185af79cd5 · outbound

This paper cites an unresolved cited work.

A discrete Smorodinsky--Winternitz I superintegrable system Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.337355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb439ce0-14ec-4a17-8fb3-f977ec73af97 · outbound

This paper cites an unresolved cited work.

A discrete Smorodinsky--Winternitz I superintegrable system Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:05:06.499755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 42d03c07-9fb1-4826-842b-e088e401cf9e · outbound

This paper cites Kalnins, Willard Miller, Jr., and Sarah Post,Two-variable Wilson polynomials and the generic superintegrable system on the 3-sphere, SIGMA.

A discrete Smorodinsky--Winternitz I superintegrable system Kalnins, Willard Miller, Jr., and Sarah Post,Two-variable Wilson polynomials and the generic superintegrable system on the 3-sphere, SIGMA

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.344223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b76faa3e-30f5-4f5c-97af-defa2ad842ff · outbound

This paper cites Lesky, and Ren´ e F.

A discrete Smorodinsky--Winternitz I superintegrable system Lesky, and Ren´ e F

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.347427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49f7f2ed-9def-41ea-b2d2-2a0608d756a8 · outbound

This paper cites 1, 144–168.

A discrete Smorodinsky--Winternitz I superintegrable system 1, 144–168

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:05:06.476992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e975016d-be48-4f71-99ef-831d6d466b24 · outbound

This paper cites an unresolved cited work.

A discrete Smorodinsky--Winternitz I superintegrable system Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.353702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65488963-3f12-4c74-9d96-507e187f3737 · outbound

This paper cites 12, 125207.

A discrete Smorodinsky--Winternitz I superintegrable system 12, 125207

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:05:06.458824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f26b0b4e-29ff-456e-ad50-f8579d95be08 · outbound

This paper cites 42, 423001.

A discrete Smorodinsky--Winternitz I superintegrable system 42, 423001

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.360463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c90821a1-d678-434c-b8b9-5272aa1bea6a · outbound

This paper cites Degenerately Integrable Systems.

A discrete Smorodinsky--Winternitz I superintegrable system Degenerately Integrable Systems

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.364208Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa584532-eeaf-45fe-aec5-f91fb9f4e2ca · outbound

This paper cites Multivariate Hahn polynomials and difference equations.

A discrete Smorodinsky--Winternitz I superintegrable system Multivariate Hahn polynomials and difference equations

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.367861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa73b5ba-1249-493a-9107-e27eace49312 · outbound

This paper cites Turbiner, and Pavel Winternitz,Exact solvability of superintegrable systems, Journal of Mathematical Physics42(2001), no.

A discrete Smorodinsky--Winternitz I superintegrable system Turbiner, and Pavel Winternitz,Exact solvability of superintegrable systems, Journal of Mathematical Physics42(2001), no

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.371434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc1ab6b1-0d5d-45b9-9d03-b59d6bf81187 · outbound

This paper cites an unresolved cited work.

A discrete Smorodinsky--Winternitz I superintegrable system Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.374575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24290b6b-4227-4334-b11c-c921883877b3 · outbound

This paper cites Winternitz, Ya.

A discrete Smorodinsky--Winternitz I superintegrable system Winternitz, Ya

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:06.377748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.