Paper Citation Record · LEDGER

A discrete Smorodinsky--Winternitz II superintegrable system

As of 18 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2608.12909.

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

pith.paper-citation-record.v1
2608.12909 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:04:10.466554Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

29 of 29 outbound references displayed

verified exact2
verified fuzzy16
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b7aacd72-d4bd-4054-a974-4ba6aa36989f · outbound

This paper cites Arthamonov and N.

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

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:04:11.009544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 00db73ae-145b-4e77-b526-354edb7954d7 · outbound

This paper cites an unresolved cited work.

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

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:04:10.994775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 85b1f472-5221-463e-997a-637beb090c8e · outbound

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

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

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:04:10.979521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 37325cfb-28c8-41f3-a9e1-111d54185a3e · outbound

This paper cites an unresolved cited work.

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

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:04:10.963579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 08da67e4-9b44-404e-961e-b00c9fc2c2ea · outbound

This paper cites The 2D Smorodinsky--Winternitz II system and the Laguerre--Heun algebra.

A discrete Smorodinsky--Winternitz II superintegrable system The 2D Smorodinsky--Winternitz II system and the Laguerre--Heun algebra

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-15T21:04:10.560896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 20781299-a81b-46c8-8659-cd9d3def4692 · outbound

This paper cites an unresolved cited work.

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

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:04:10.948443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9bb0af01-0e01-401c-9c75-b103e8536672 · outbound

This paper cites 15, L789–L794.

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

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:04:10.931824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 007d81f0-aea0-4f60-9465-d259e44c398a · outbound

This paper cites 3, 1100–1119.

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

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:04:10.917012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6405caf5-b338-47a9-96b6-b44d46e87fa2 · outbound

This paper cites an unresolved cited work.

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

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:04:10.901511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5e573f85-6392-4bec-a539-9908e1c9f70c · outbound

This paper cites 14, 1531–1535.

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

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:04:10.866178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e7abc741-ce56-4651-a9a4-f6c7f6bc78ec · outbound

This paper cites Friˇ s, V.

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

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:04:10.851382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ef88755a-9475-4a4c-8736-ed14b7270226 · 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 II 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 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:04:10.835868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 58018009-0f82-49ec-b686-1feae159cfac · 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 II 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 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:04:10.821243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a1a32e74-d7cf-4ddd-819b-65271682d953 · 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 II superintegrable system Genest and Luc Vinet,The multivariate Hahn polynomials and the singular oscillator, Journal of Physics A: Mathematical and Theoretical47(2014), no

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:04:10.804824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3e503c94-f89f-45d8-8caf-0a4f11765ea0 · 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 II superintegrable system Genest, Luc Vinet, and Alexei Zhedanov,Superintegrability in two dimensions and the Racah–Wilson algebra, Letters in Mathematical Physics104(2014), no

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:04:10.788560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 76b61cd9-ab41-455a-a719-a422fb7f4584 · outbound

This paper cites an unresolved cited work.

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

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:04:10.772838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a7b061f5-9816-440a-9cfc-1b259f3e347a · outbound

This paper cites an unresolved cited work.

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

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:04:10.757017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1aad985f-5d5c-410c-bdcf-ebf1f7c5d4ab · outbound

This paper cites an unresolved cited work.

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

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:04:10.741674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 739aef08-422d-4dbf-bb04-2f52c006c343 · outbound

This paper cites an unresolved cited work.

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

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:04:10.727091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5cea4749-3256-4480-b83e-b95edd943ac5 · 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 II superintegrable system Kalnins, Willard Miller, Jr., and Sarah Post,Two-variable Wilson polynomials and the generic superintegrable system on the 3-sphere, SIGMA

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:04:10.710150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 47939026-13b9-4e95-8f62-a84db711752d · outbound

This paper cites Lesky, and Ren´ e F.

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

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:04:10.693481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a612b8a0-52f5-48f7-825c-ebd6f76022c2 · outbound

This paper cites an unresolved cited work.

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

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:04:10.673477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f0b76e5c-5614-41b6-9fc8-eb2fbc148a39 · outbound

This paper cites 12, 125207.

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

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:04:10.654120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c3e2b4a7-0674-433a-b509-2d753e7c32b9 · outbound

This paper cites 42, 423001.

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

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:04:10.637132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1620dfb0-bbdf-4e9d-807f-32a3388fd290 · outbound

This paper cites Degenerately Integrable Systems.

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

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-15T21:04:10.445964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3211179b-20b6-4f66-b9b9-132c2e2154f9 · outbound

This paper cites Multivariate Hahn polynomials and difference equations.

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

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-15T21:04:10.518161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 079e6411-651d-45bb-b385-edd08c27730c · outbound

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

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

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:04:10.619435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8a2e80ba-b6b6-4d70-a006-37d5650df44f · outbound

This paper cites an unresolved cited work.

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

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:04:10.602531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 71efca78-bcc4-42d8-9a86-c3797951489e · outbound

This paper cites Winternitz, Ya.

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

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:04:10.584390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

No inbound Pith citation observations are available.