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Paper Citation Record · LEDGER

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle

As of 13 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2411.10834.

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

pith.paper-citation-record.v1
2411.10834 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T19:24:20.912944Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

37 of 37 outbound references displayed

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  • verified fuzzy20
  • unresolved15
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a853f233-a413-43bc-aff2-b21fd81be360 · outbound

This paper cites Álvarez-Fernández, U.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Álvarez-Fernández, U

Reference 1

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation d0067b27-bc7a-4bd8-840b-080d1feb6f32 · outbound

This paper cites an unresolved cited work.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Unresolved cited work

Reference 2

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Observation 69334b71-dc01-4350-a5f9-dd59133656e3 · outbound

This paper cites Ariznabarreta and M Mañas, Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems,Advances in Mathematics 264 (2014) 396–463.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Ariznabarreta and M Mañas, Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems,Advances in Mathematics 264 (2014) 396–463

Reference 3

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 6570aa2e-e3cc-4102-a3a7-73fe26369a79 · outbound

This paper cites Ariznabarreta, J.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Ariznabarreta, J

Reference 4

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation af3ea6b7-1250-4840-a4cc-634a52c55c51 · outbound

This paper cites Ariznabarreta and M.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Ariznabarreta and M

Reference 5

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 12c95784-50e6-459d-9e87-8cdbdd2055b4 · outbound

This paper cites Ariznabarreta, M.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Ariznabarreta, M

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation d5941ed9-6a35-4c5c-97ba-6764f1c7065e · outbound

This paper cites Ariznabarreta and M.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Ariznabarreta and M

Reference 7

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation a99b0dc3-f80f-4bf5-981d-fb2bb10edbc4 · outbound

This paper cites Branquinho, A.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Branquinho, A

Reference 8

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 5534a378-83f1-401b-bbc0-dd634f1e859b · outbound

This paper cites Branquinho, A.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Branquinho, A

Reference 9

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raw_fallback, observed 2026-08-12T19:24:21.899559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T19:24:20.658706Z digest=sha256:e7f14c0e40e87e5bd488ee53c5af5a36cd1e5d257b4c5bd7ed943f25cd674c01

Observation ec216c2e-783e-4ffb-afb7-db6926fea66a · outbound

This paper cites Branquinho, A.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Branquinho, A

Reference 10

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raw_fallback, observed 2026-08-12T19:24:21.879516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T19:24:20.666307Z digest=sha256:4d87ccbf696010d989ff2c518cf327fe196914d367d9b8386ef3dd9667716160

Observation 98b6c4c2-bb4e-490e-aa7f-eb057f791dd4 · outbound

This paper cites Banded totally positive matrices and normality for mixed multiple orthogonal polynomials.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Banded totally positive matrices and normality for mixed multiple orthogonal polynomials

Reference 11

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T19:24:20.672524Z digest=sha256:238db7ce35c21f1a77428864cdac2e246cc5a280af9b82b728dc7d9a42f963a9

Observation 1e93284c-e40a-4d2f-bdb5-b2efcd7f356e · outbound

This paper cites Markov Chains and Multiple Orthogonality.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Markov Chains and Multiple Orthogonality

Reference 12

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local_arxiv, observed 2026-08-12T19:24:21.243435Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T19:24:20.679661Z digest=sha256:90db7a1d5344918d1b021a52b23bad6ac5c6bf93cb5b7e51d499c4f4f9bb8193

Observation f4a687f8-b87c-4a84-a610-15bc0152b585 · outbound

This paper cites Finite Markov chains and multiple orthogonal polynomials.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Finite Markov chains and multiple orthogonal polynomials

Reference 13

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T19:24:20.687974Z digest=sha256:bddce8574ae4de19f537a363192e5dd0cbc8353b2599da8698b7a389d354e4f4

Observation a13adb01-b8e0-4458-8f38-e6538ed10117 · outbound

This paper cites Hypergeometric Multiple Orthogonal Polynomials and Random Walks.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Hypergeometric Multiple Orthogonal Polynomials and Random Walks

Reference 14

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T19:24:20.703323Z digest=sha256:53ee0bdec121f56a000b4f4eb7f316c18c02b02c0c7de648747292b86e51b79c

Observation 9f1bad04-f6e4-4277-b803-9df726b4278c · outbound

This paper cites an unresolved cited work.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Unresolved cited work

Reference 15

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raw_fallback, observed 2026-08-12T19:24:21.859277Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 9306a39b-a455-4cb3-a843-59ba0fcbd8df · outbound

This paper cites Cruz-Barroso, C.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Cruz-Barroso, C

Reference 16

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 87be5933-4acd-4a95-870d-5f80500e7799 · outbound

This paper cites Daems and A.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Daems and A

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation b46a85af-b1cf-4de3-a155-1553076a8665 · outbound

This paper cites Cassatella-Contra and M.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Cassatella-Contra and M

Reference 18

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 4dc3a20d-72ce-4dbf-b8c6-45e803da382c · outbound

This paper cites Fidalgo Prieto, A.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Fidalgo Prieto, A

Reference 19

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 5fd6b0fe-ae0b-46d8-ac67-ba49cf743b27 · outbound

This paper cites Fidalgo Prieto, S.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Fidalgo Prieto, S

Reference 20

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 82dfa081-5648-43e9-a4f2-e571a0fd50ca · outbound

This paper cites an unresolved cited work.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Unresolved cited work

Reference 21

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation e0bda51c-9260-4ce5-b387-41f805f85afc · outbound

This paper cites Gelfand, S.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Gelfand, S

Reference 22

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 9e32e9b6-9ab8-4817-985e-cc93125741e2 · outbound

This paper cites an unresolved cited work.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Unresolved cited work

Reference 23

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 35c0a497-f93e-4f3d-b18a-45f2bd0a266f · outbound

This paper cites Nikishin systems on the unit circle.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Nikishin systems on the unit circle

Reference 24

Resolution
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local_arxiv, observed 2026-08-12T19:24:21.143282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 3562828e-3863-4b96-afd2-6ca30b751d0a · outbound

This paper cites Kozhan, and M.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Kozhan, and M

Reference 25

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T19:24:20.813550Z digest=sha256:aced17737e51f53210f46f429dd41ebc9e700ea8255772b31ab308a675a38c19

Observation 2a161894-fdcd-42c2-9475-ca012fc35c1d · outbound

This paper cites Mañas, Revisiting biorthogonal polynomials: An LU factorization discussion.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Mañas, Revisiting biorthogonal polynomials: An LU factorization discussion

Reference 26

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raw_fallback, observed 2026-08-12T19:24:21.589733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 2ea84843-2683-450c-b373-47cf4c0f1669 · outbound

This paper cites General Christoffel Perturbations for Mixed Multiple Orthogonal Polynomials.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle General Christoffel Perturbations for Mixed Multiple Orthogonal Polynomials

Reference 27

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no resolver link, observed 2026-08-12T19:24:20.828845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 85dfebd0-b891-4317-85c4-79bf0b924f43 · outbound

This paper cites Mañas and M.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Mañas and M

Reference 28

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 28da737f-6f68-4dd4-8b9b-532f9affb09a · outbound

This paper cites Mínguez-Ceniceros, and W.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Mínguez-Ceniceros, and W

Reference 29

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 3d71508c-7e57-4419-943d-2ace7c2b7ee5 · outbound

This paper cites an unresolved cited work.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Unresolved cited work

Reference 30

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation f6c34501-927b-4af3-8db8-8562ae98eaa8 · outbound

This paper cites Simon, Orthogonal Polynomials on Unit Circle, two volumes.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Simon, Orthogonal Polynomials on Unit Circle, two volumes

Reference 31

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation e8ff1ce2-768d-4e5d-b968-f3869ec3285b · outbound

This paper cites Simon, The Christoffel–Darboux kernel, in: Perspectives in Partial Differential Equations, Harmonic Analysis and Appli- cations: A Volume in Honor of Vladimir G.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Simon, The Christoffel–Darboux kernel, in: Perspectives in Partial Differential Equations, Harmonic Analysis and Appli- cations: A Volume in Honor of Vladimir G

Reference 32

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raw_fallback, observed 2026-08-12T19:24:21.411000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 018a902f-baef-4b22-af0c-5157d581f4b7 · outbound

This paper cites an unresolved cited work.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Unresolved cited work

Reference 33

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raw_fallback, observed 2026-08-12T19:24:21.382652Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation f2260939-1280-4209-bd8b-9578514aaddf · outbound

This paper cites an unresolved cited work.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Unresolved cited work

Reference 34

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raw_fallback, observed 2026-08-12T19:24:21.355717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 0d30ef37-22c5-4223-b07a-6b4ebb6a51ef · outbound

This paper cites an unresolved cited work.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Unresolved cited work

Reference 35

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raw_fallback, observed 2026-08-12T19:24:21.323884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T19:24:20.904143Z digest=sha256:1d6539311ac74d6b6c083f2beac1c61e93b0111403a9826baa277cc870251c44

Observation 0d280344-4bec-4139-9301-b372c67209a2 · outbound

This paper cites an unresolved cited work.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-12T19:24:21.300759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T19:24:20.912944Z digest=sha256:8a34195ccebd71ab789e5aa946671c6b3afd725cd6adacc753227a0e9e6de34e

Observation e34aa800-e990-4c35-9bc3-d6fda9b49b7e · outbound

This paper cites an unresolved cited work.

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle Unresolved cited work

Reference 98

Resolution
unresolved
raw_fallback, observed 2026-08-12T19:24:21.617266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T19:24:20.788179Z digest=sha256:1480b8375fe0788ea7573101e96f8a191f4c0c200d7624160c222da8018ed5a4

Pith citing papers

No inbound Pith citation observations are available.