Paper Citation Record · LEDGER

Variations on a circular Hessenberg pair

As of 10 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2607.16964.

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

pith.paper-citation-record.v1
2607.16964 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T19:32:58.552327Z

measured 27 of 27 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 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

27 of 27 outbound references displayed

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unresolved27
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External citation measurements

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Outbound references

Observation 093a42af-1331-47eb-af6d-f3205cdafbdc · outbound

This paper cites Bannai, T.

Variations on a circular Hessenberg pair Bannai, T

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:55.688351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3dde0651-3297-4cc8-8aec-603bb68f9854 · outbound

This paper cites an unresolved cited work.

Variations on a circular Hessenberg pair Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:55.823231Z

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Observation 16c133d8-9141-441b-9466-b155ab3c58bc · outbound

This paper cites The Terwilliger algebra of an almost-bipartite P- and Q-polynomial association scheme.

Variations on a circular Hessenberg pair The Terwilliger algebra of an almost-bipartite P- and Q-polynomial association scheme

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:55.991340Z

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Observation cce1e219-a9e3-404e-a7bd-b97bd6f734f1 · outbound

This paper cites Proof of the Kresch-Tamvakis Conjecture.

Variations on a circular Hessenberg pair Proof of the Kresch-Tamvakis Conjecture

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:56.075202Z

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Observation 0420168e-5919-446a-a745-d89b4be8a4f7 · outbound

This paper cites an unresolved cited work.

Variations on a circular Hessenberg pair Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:56.145101Z

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Observation 474e6d34-969c-4177-9695-12b50470056f · outbound

This paper cites Structure of Thin Irreducible Modules of a Q-polynomial Distance-Regular Graph.

Variations on a circular Hessenberg pair Structure of Thin Irreducible Modules of a Q-polynomial Distance-Regular Graph

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:56.238018Z

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Observation ba37164f-813c-486e-ad45-54ab834ca5f2 · outbound

This paper cites Delsarte, An algebraic approach to the association schemes of coding theory, Phillips research reports supplements, No.

Variations on a circular Hessenberg pair Delsarte, An algebraic approach to the association schemes of coding theory, Phillips research reports supplements, No

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:56.322783Z

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Observation a8ea35ae-0d67-4f71-8201-2fc8724cff5b · outbound

This paper cites Thin Hessenberg Pairs.

Variations on a circular Hessenberg pair Thin Hessenberg Pairs

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:56.475062Z

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Observation d73eb72b-6c33-4616-9bbd-dffb16b2c41c · outbound

This paper cites Koekoek, R.

Variations on a circular Hessenberg pair Koekoek, R

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:56.643003Z

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Observation f1b7897f-7cb3-472c-a709-ee1b4f202dea · outbound

This paper cites Circular Hessenberg Pairs.

Variations on a circular Hessenberg pair Circular Hessenberg Pairs

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:56.744102Z

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Observation c148c8ef-df31-4ef8-acee-565f71f69f9a · outbound

This paper cites an unresolved cited work.

Variations on a circular Hessenberg pair Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:56.812301Z

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Observation 9bf62e55-cfa6-4cf0-a685-e82e5ee4d011 · outbound

This paper cites Linear transformations that are tridiagonal with respect to both eigenbases of a Leonard pair.

Variations on a circular Hessenberg pair Linear transformations that are tridiagonal with respect to both eigenbases of a Leonard pair

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:56.911363Z

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Observation b8886802-1fa2-4dec-89d9-992e634a757a · outbound

This paper cites The switching element for a Leonard pair.

Variations on a circular Hessenberg pair The switching element for a Leonard pair

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:56.982556Z

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

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

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

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Observation 9463860e-4b8b-46f5-bcb5-0f5f905a2b82 · outbound

This paper cites The universal DAHA of type $(C_1^\vee,C_1)$ and Leonard pairs of $q$-Racah type.

Variations on a circular Hessenberg pair The universal DAHA of type $(C_1^\vee,C_1)$ and Leonard pairs of $q$-Racah type

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:57.198241Z

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Observation 8e699580-0088-4cc5-b97b-40a83b292072 · outbound

This paper cites Leonard pairs, spin models, and distance-regular graphs.

Variations on a circular Hessenberg pair Leonard pairs, spin models, and distance-regular graphs

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:57.287330Z

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Observation 9e04e415-dff1-4658-b99d-63614cb666c1 · outbound

This paper cites Circular Hessenberg pairs and the tridiagonal relations.

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

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Observation cf10689d-91d6-44f6-9d16-58dcf84244aa · outbound

This paper cites Terwilliger, The subconstituent algebra of an association scheme III, J.

Variations on a circular Hessenberg pair Terwilliger, The subconstituent algebra of an association scheme III, J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:57.419286Z

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Unavailable: canonical work link unavailable.

Observation a1d7ef7a-3f6c-4a14-8423-794f459193f3 · outbound

This paper cites Leonard pairs from 24 points of view.

Variations on a circular Hessenberg pair Leonard pairs from 24 points of view

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:57.500519Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24597b30-a87f-49c1-895c-134db2da96c8 · outbound

This paper cites Two linear transformations each tridiagonal with respect to an eigenbasis of the other.

Variations on a circular Hessenberg pair Two linear transformations each tridiagonal with respect to an eigenbasis of the other

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:57.610799Z

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Unavailable: canonical work link unavailable.

Observation a2645772-32d1-455a-be84-3f2e0c9352bb · outbound

This paper cites Two relations that generalize the $q$-Serre relations and the Dolan-Grady relations.

Variations on a circular Hessenberg pair Two relations that generalize the $q$-Serre relations and the Dolan-Grady relations

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:57.703286Z

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Unavailable: canonical work link unavailable.

Observation dee0d1af-ab30-4c90-945a-cfd2f6f11870 · outbound

This paper cites Leonard pairs and the q-Racah polynomials.

Variations on a circular Hessenberg pair Leonard pairs and the q-Racah polynomials

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:57.792384Z

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Observation d475b9e5-3a28-45a7-9790-a5f38c3fb746 · outbound

This paper cites Two linear transformations each tri-diagonal with respect to an eigenbasis of the other; the TD-D canonical form and the LB-UB canonical form.

Variations on a circular Hessenberg pair Two linear transformations each tri-diagonal with respect to an eigenbasis of the other; the TD-D canonical form and the LB-UB canonical form

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:57.963084Z

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Unavailable: canonical work link unavailable.

Observation 1defdba8-c1ee-40d0-8988-70aaa2ffe9e4 · outbound

This paper cites Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array.

Variations on a circular Hessenberg pair Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:58.117896Z

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Observation d706d324-45b0-4976-a2a3-ce32d8342c5b · outbound

This paper cites Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the split decomposition.

Variations on a circular Hessenberg pair Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the split decomposition

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:58.254461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a69f57de-1ca2-4b7e-83f3-10c3b276e46d · 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.

Variations on a circular Hessenberg pair Two linear transformations each tridiagonal with respect to an eigenbasis of the other; an algebraic approach to the Askey scheme of orthogonal polynomials

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:58.422696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb04b637-4cb5-408f-a537-1fda95e05233 · outbound

This paper cites Notes on the Leonard system classification.

Variations on a circular Hessenberg pair Notes on the Leonard system classification

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T19:32:58.552327Z

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Pith citing papers

No inbound Pith citation observations are available.