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Paper Citation Record · LEDGER

Krawtchouk polynomials, the Lie algebra $\mathfrak{sl}_2$, and Leonard pairs

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1201.1645.

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

pith.paper-citation-record.v1
1201.1645 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:38:49.432379Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-11T03:47:47.583856Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 628fc50a-66ff-42b1-ba3d-9ec6a74ec532 · inbound

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity cites this paper.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Krawtchouk polynomials, the Lie algebra $\mathfrak{sl}_2$, and Leonard pairs

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-02T08:38:49.432379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:38:49.432379Z digest=sha256:53d3f06bd3012e2ed7bb2183f535f9446fe1879ddc8c4c58040388ece2274167

Observation 7e20ff1b-2255-49b6-a82f-8e56e4672c2d · inbound

Circular Hessenberg pairs and the tridiagonal relations cites this paper.

Circular Hessenberg pairs and the tridiagonal relations Krawtchouk polynomials, the Lie algebra $\mathfrak{sl}_2$, and Leonard pairs

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-07-11T03:47:47.604875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-11T03:45:38.435849Z digest=sha256:8ac7e606f2ab9b39c20258997b063673442b84f890278cdacda38a0286f3d163

Observation 437541ad-54c9-43ed-92e4-8b28687dc687 · inbound

Variations on a circular Hessenberg pair cites this paper.

Variations on a circular Hessenberg pair Krawtchouk polynomials, the Lie algebra $\mathfrak{sl}_2$, and Leonard pairs

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T19:32:57.059783Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:32:57.059783Z digest=sha256:e61d8aa14f612da39bd96eccd3cc28f476ede3ec7ebaadb5a2224a5b3920420c