Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-11T03:45:38.435849Z
Paper Citation Record · LEDGER
Circular Hessenberg pairs and the tridiagonal relations
As of 22 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2607.05688.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T19:32:57.356360Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
20 of 20 outbound references displayed
- verified exact14
- verified fuzzy5
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation cc82b4e1-22ff-4b8f-9500-276e81bf0caf · outbound
This paper cites Bannai, E.
Circular Hessenberg pairs and the tridiagonal relations Bannai, E
Reference 1
- Resolution
- verified exact
- doi, observed 2026-07-11T03:47:45.775532Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 80bff60a-17cb-4477-a9cf-06f2074f7253 · outbound
This paper cites Bannai and T.
Circular Hessenberg pairs and the tridiagonal relations Bannai and T
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-11T03:47:51.672977Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 45f53ab0-fff3-415e-afcb-2840f32d7a6f · outbound
This paper cites Thin Hessenberg Pairs.
Circular Hessenberg pairs and the tridiagonal relations Thin Hessenberg Pairs
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-07-11T03:47:47.684531Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f936038d-f400-4420-9a93-9a3a0ec3dea3 · outbound
This paper cites Thin Hessenberg Pairs and Double Vandermonde Matrices.
Circular Hessenberg pairs and the tridiagonal relations Thin Hessenberg Pairs and Double Vandermonde Matrices
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-07-11T03:47:47.661998Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 694a6397-6cd4-4240-9af7-470d72d33ec4 · outbound
This paper cites Circular Hessenberg Pairs.
Circular Hessenberg pairs and the tridiagonal relations Circular Hessenberg Pairs
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-07-11T03:47:47.752032Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 19f643e7-ff2c-4abe-b658-65820e940e75 · outbound
This paper cites an unresolved cited work.
Circular Hessenberg pairs and the tridiagonal relations Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-07-11T03:47:51.695815Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7e20ff1b-2255-49b6-a82f-8e56e4672c2d · outbound
This paper cites Krawtchouk polynomials, the Lie algebra $\mathfrak{sl}_2$, and Leonard pairs.
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 2026-08-22T06:32:14.747728+00:00.
Observation d4398f4d-50f0-4705-be7e-6954c74e8ace · outbound
This paper cites Leonard pairs, spin models, and distance-regular graphs.
Circular Hessenberg pairs and the tridiagonal relations Leonard pairs, spin models, and distance-regular graphs
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-07-11T03:47:47.694968Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 176d72b1-db99-44d8-9399-bbe99483531c · outbound
This paper cites Terwilliger.
Circular Hessenberg pairs and the tridiagonal relations Terwilliger
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-11T03:47:51.648014Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e2154884-d6e9-4888-a6c3-64461bd0c75e · outbound
This paper cites Terwilliger.
Circular Hessenberg pairs and the tridiagonal relations Terwilliger
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-11T03:47:51.621123Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0461f919-12f0-43c6-beef-cd42081c3124 · outbound
This paper cites Terwilliger.
Circular Hessenberg pairs and the tridiagonal relations Terwilliger
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-11T03:47:51.595999Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 959257c1-eb04-4e6b-921b-756375abdd6b · outbound
This paper cites Terwilliger.
Circular Hessenberg pairs and the tridiagonal relations Terwilliger
Reference 12
- Resolution
- verified exact
- arxiv_id, observed 2026-07-11T03:47:47.731090Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 43fb8ca8-c205-475e-ad2a-f53a3c79a229 · outbound
This paper cites Terwilliger.
Circular Hessenberg pairs and the tridiagonal relations Terwilliger
Reference 13
- Resolution
- verified exact
- arxiv_id, observed 2026-07-11T03:47:47.616099Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a472c492-e313-4491-b7ec-6e8e5ac86c46 · outbound
This paper cites Leonard pairs from 24 points of view.
Circular Hessenberg pairs and the tridiagonal relations Leonard pairs from 24 points of view
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-07-11T03:47:47.783935Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation aab5ee1a-575e-4650-8c8b-d67367feefcd · outbound
This paper cites Terwilliger.
Circular Hessenberg pairs and the tridiagonal relations Terwilliger
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-11T03:47:51.570945Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 5325f725-78d1-4a6f-ac6a-c1b09baaf6a8 · outbound
This paper cites Terwilliger.
Circular Hessenberg pairs and the tridiagonal relations Terwilliger
Reference 16
- Resolution
- verified exact
- arxiv_id, observed 2026-07-11T03:47:47.542959Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 29accd5a-e37f-4a4c-a90c-b463cbabae65 · outbound
This paper cites Two linear transformations each tridiagonal with respect to an eigenbasis of the other; an algebraic approach to the Askey scheme of orthogonal polynomials.
Circular Hessenberg pairs and the tridiagonal relations Two linear transformations each tridiagonal with respect to an eigenbasis of the other; an algebraic approach to the Askey scheme of orthogonal polynomials
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-07-11T03:47:47.536402Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 58690083-c738-4102-9770-2c1f56b0249d · outbound
This paper cites Notes on the Leonard system classification.
Circular Hessenberg pairs and the tridiagonal relations Notes on the Leonard system classification
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-07-11T03:47:47.581688Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation de750f8d-18f8-4a11-8dcb-b6bd20175c96 · outbound
This paper cites Distance-regular graphs, the subconstituent algebra, and the $Q$-polynomial property.
Circular Hessenberg pairs and the tridiagonal relations Distance-regular graphs, the subconstituent algebra, and the $Q$-polynomial property
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-07-11T03:47:47.650643Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2f9e24c1-bf12-454c-9fdb-c553971590c8 · outbound
This paper cites Leonard pairs and the Askey-Wilson relations.
Circular Hessenberg pairs and the tridiagonal relations Leonard pairs and the Askey-Wilson relations
Reference 20
- Resolution
- verified exact
- local_arxiv, observed 2026-07-11T03:47:47.765401Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
Observation 9e04e415-dff1-4658-b99d-63614cb666c1 · inbound
Variations on a circular Hessenberg pair cites this paper.
Variations on a circular Hessenberg pair Circular Hessenberg pairs and the tridiagonal relations
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T19:32:57.356360Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.