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Paper Citation Record · LEDGER

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials

As of 23 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2506.09582.

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

pith.paper-citation-record.v1
2506.09582 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:55:45.620651Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:11:05.631759Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T18:11:05.725799Z

Reference resolution

16 of 16 outbound references displayed

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  • verified fuzzy14
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External citation measurements

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Outbound references

Observation 3a9414cb-7257-4d0b-8d76-0bd3078d444b · outbound

This paper cites Nonlinear steepest descent approach to orthogonality on elliptic curves.

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials Nonlinear steepest descent approach to orthogonality on elliptic curves

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation f91548dc-9227-4487-829f-294ab7c40c92 · outbound

This paper cites Abelianization of matrix orthogonal polynomials.International Math- ematics Research Notices, 2023(10):8544–8595, 2023.

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials Abelianization of matrix orthogonal polynomials.International Math- ematics Research Notices, 2023(10):8544–8595, 2023

Reference 2

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 5068a587-976d-4b85-a2c5-0447c1bf193a · outbound

This paper cites Critical measures on higher genus riemann surfaces.Communications in Mathematical Physics, 404:51–95, 2022.

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials Critical measures on higher genus riemann surfaces.Communications in Mathematical Physics, 404:51–95, 2022

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 1ccd5918-e223-4297-91a7-2ea4f97316e9 · outbound

This paper cites Matrix orthogonality in the plane versus scalar orthogonality in a riemann surface.Transactions of Mathematics and Its Applications, 5(2):Article, 2021.

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials Matrix orthogonality in the plane versus scalar orthogonality in a riemann surface.Transactions of Mathematics and Its Applications, 5(2):Article, 2021

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T04:55:45.583199Z digest=sha256:247806ef0349b59609883284477858ddec5764023d2a15de8e48513bd3c28a80

Observation 64a126db-0d2f-4b0f-ae3e-6bac1acc26ac · outbound

This paper cites Isomonodromic tau func- tions on a torus as fredholm determinants, and charged partitions.Communications in Mathematical Physics, 398(3):1029–1084, 2023.

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials Isomonodromic tau func- tions on a torus as fredholm determinants, and charged partitions.Communications in Mathematical Physics, 398(3):1029–1084, 2023

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 47e66d42-e6fe-4a74-a516-c408ce5fc5d4 · outbound

This paper cites On a class of elliptic orthogonal polynomials and their integrability.Constructive Approximation, pages 1–44, 2024.

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials On a class of elliptic orthogonal polynomials and their integrability.Constructive Approximation, pages 1–44, 2024

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation a0d3c0ed-486e-4a7a-85d9-cd3290d7393b · outbound

This paper cites Nonlinear steepest descent on a torus: a case study of the landau–lifshitz equation.Nonlinearity, 38(4):045023, 2025.

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials Nonlinear steepest descent on a torus: a case study of the landau–lifshitz equation.Nonlinearity, 38(4):045023, 2025

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 8e4caa8b-cc32-49d2-8aa5-b1d620612eda · outbound

This paper cites Orthogonal polynomials on planar cubic curves.Foundations of Computational Mathematics, 23(1):1–31, 2023.

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials Orthogonal polynomials on planar cubic curves.Foundations of Computational Mathematics, 23(1):1–31, 2023

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 4e56e55b-f4e8-48ca-b83b-a916cafcb7ea · outbound

This paper cites The isomonodromy approach to matric models in 2d quantum gravity.Communications in Mathematical Physics, 147(2): 395–430, 1992.

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials The isomonodromy approach to matric models in 2d quantum gravity.Communications in Mathematical Physics, 147(2): 395–430, 1992

Reference 9

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation ccd5b1a1-e77b-4f7e-901e-b5abfbf09ec4 · outbound

This paper cites Forrester.Log-Gases and Random Matrices, volume 34 ofLondon Mathe- matical Society Monographs.

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials Forrester.Log-Gases and Random Matrices, volume 34 ofLondon Mathe- matical Society Monographs

Reference 10

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no resolver link, observed 2026-08-07T04:55:45.601340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:55:45.601340Z digest=sha256:c20c872cfd1e6da482af20c807ec6c068efdfd1608d4d8092b07e7dd7be10a0b

Observation 8e73b958-0be9-488c-8d31-44bf15ab55dd · outbound

This paper cites Matrix-valued orthogonal polynomials related to hexagon tilings.Journal of Approximation Theory, 270:105619, 2021.

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials Matrix-valued orthogonal polynomials related to hexagon tilings.Journal of Approximation Theory, 270:105619, 2021

Reference 11

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 7d881ebe-9901-48f7-96e8-0368c5c43216 · outbound

This paper cites Cambridge University Press, 2022.

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials Cambridge University Press, 2022

Reference 12

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Observation 424027f2-7003-4994-8a8e-e0359191d27c · outbound

This paper cites American Mathematical Soci- ety,, 1995.

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials American Mathematical Soci- ety,, 1995

Reference 13

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 5e274f50-d2af-4454-a59c-fbd324078cd5 · outbound

This paper cites G´ eza freud, orthogonal polynomials and christoffel functions.

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials G´ eza freud, orthogonal polynomials and christoffel functions

Reference 14

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raw_fallback, observed 2026-08-07T04:55:45.677927Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation ff27d0cd-603e-48ae-a381-1d1a5f9d9cf1 · outbound

This paper cites The Christoffel-Darboux Kernel.

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials The Christoffel-Darboux Kernel

Reference 15

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation cf981750-1f53-4220-be6f-19b55190815d · outbound

This paper cites Springer International Publishing, 2020.

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials Springer International Publishing, 2020

Reference 16

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Pith citing papers

Observation 73b6a49a-dfb6-48c3-8e1f-f426a15986c5 · inbound

Elliptic orthogonal polynomials and OPRL cites this paper.

Elliptic orthogonal polynomials and OPRL Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials

Reference 3

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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