Paper Citation Record · LEDGER

The Rectangular Finite Free Heat Flow

As of 13 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2606.06859.

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

pith.paper-citation-record.v1
2606.06859 v1

Coverage vector

measured 52 of 52 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-27T21:23:18.800854Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

52 of 52 outbound references displayed

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verified fuzzy0
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External citation measurements

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Outbound references

Observation 26424616-bc23-4ce2-ba5e-5a5c35d48969 · outbound

This paper cites Andraus, M.

The Rectangular Finite Free Heat Flow Andraus, M

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation d14dadc5-6ae8-4793-871f-74c6ca81e830 · outbound

This paper cites an unresolved cited work.

The Rectangular Finite Free Heat Flow Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation df88fd7e-6f45-461e-bc2b-370883b8af8a · outbound

This paper cites Andraus and S.

The Rectangular Finite Free Heat Flow Andraus and S

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation 3c782026-5839-45eb-aa83-382196253145 · outbound

This paper cites Andraus and M.

The Rectangular Finite Free Heat Flow Andraus and M

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation 3f54757d-f4ea-4431-9a85-be140ca39ed5 · outbound

This paper cites An introduction to Dunkl theory and its analytic aspects.

The Rectangular Finite Free Heat Flow An introduction to Dunkl theory and its analytic aspects

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-07-02T19:47:19.150083Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation de0fbe27-46d7-45a3-b8fb-e670e949b8a5 · outbound

This paper cites an unresolved cited work.

The Rectangular Finite Free Heat Flow Unresolved cited work

Reference 6

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Observation fe8584b0-cf41-4b86-82f6-abf5c498ba1b · outbound

This paper cites an unresolved cited work.

The Rectangular Finite Free Heat Flow Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation 1ebbadce-8cd3-423c-bacd-cb5a5cac6b33 · outbound

This paper cites an unresolved cited work.

The Rectangular Finite Free Heat Flow Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation 0651aaee-eaa4-43d5-ad16-1a6c5b417c51 · outbound

This paper cites an unresolved cited work.

The Rectangular Finite Free Heat Flow Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation 5c31115d-9252-4786-af01-a2b3d6fcc2d1 · outbound

This paper cites 2, 117–136.

The Rectangular Finite Free Heat Flow 2, 117–136

Reference 10

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Observation f9135f6f-7a47-4827-9b95-e3753f7ecb46 · outbound

This paper cites 6, 1125–1138.

The Rectangular Finite Free Heat Flow 6, 1125–1138

Reference 11

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Observation 25cf8f0d-ba79-48c1-b7ba-3eec704b56aa · outbound

This paper cites solvable.

The Rectangular Finite Free Heat Flow solvable

Reference 12

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Observation 2a058499-a7b1-46e3-80df-1133aa9c4b55 · outbound

This paper cites 66, Springer-Verlag, Berlin Heidelberg, 2001.

The Rectangular Finite Free Heat Flow 66, Springer-Verlag, Berlin Heidelberg, 2001

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation 006ebff1-c7d8-46dc-910d-3a176e70f604 · outbound

This paper cites Skew-product representations of multidimensional Dunkl Markov processes.

The Rectangular Finite Free Heat Flow Skew-product representations of multidimensional Dunkl Markov processes

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-07-02T19:47:19.160645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e0fae7e5-bfbd-44e9-94f7-35a4cb834cf3 · outbound

This paper cites Cole,On a quasi-linear parabolic equation occurring in aerodynamics, Quarterly of Applied Mathematics9(1951), no.

The Rectangular Finite Free Heat Flow Cole,On a quasi-linear parabolic equation occurring in aerodynamics, Quarterly of Applied Mathematics9(1951), no

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation bb57df38-2341-4065-b649-aec3ea1a1812 · outbound

This paper cites Varga,Lehmer pairs of zeros, the De Bruijn- Newman constantΛ, and the Riemann Hypothesis, Constructive Approximation10(1994), no.

The Rectangular Finite Free Heat Flow Varga,Lehmer pairs of zeros, the De Bruijn- Newman constantΛ, and the Riemann Hypothesis, Constructive Approximation10(1994), no

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation 4c92710d-621e-4e2d-ad20-b3916edfdbac · outbound

This paper cites Cumulants in rectangular finite free probability and beta-deformed singular values.

The Rectangular Finite Free Heat Flow Cumulants in rectangular finite free probability and beta-deformed singular values

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-07-02T19:47:19.136375Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bdc9b240-449d-428a-b8db-c8d2e1de92eb · outbound

This paper cites Demni,Radial Dunkl processes: existence, uniqueness and hitting time, Comptes Rendus Math´ ematique347(2009), 1125–1128.

The Rectangular Finite Free Heat Flow Demni,Radial Dunkl processes: existence, uniqueness and hitting time, Comptes Rendus Math´ ematique347(2009), 1125–1128

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation d173a934-5cf0-4d7e-9748-943ddb2e145d · outbound

This paper cites an unresolved cited work.

The Rectangular Finite Free Heat Flow Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation 6d9d7cdb-a1e4-4bbc-908c-ecf38908d9dc · outbound

This paper cites Raj Rao,The polynomial method for random matrices, Foundations of Computational Mathematics5(2005), no.

The Rectangular Finite Free Heat Flow Raj Rao,The polynomial method for random matrices, Foundations of Computational Mathematics5(2005), no

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation 4e01d02f-ff6b-4e56-9b78-7d40c790f034 · outbound

This paper cites Gallardo and M.

The Rectangular Finite Free Heat Flow Gallardo and M

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation 1334e85e-7143-4140-bef1-39cfca588d34 · outbound

This paper cites A chaotic representation property of the multidimensional Dunkl processes.

The Rectangular Finite Free Heat Flow A chaotic representation property of the multidimensional Dunkl processes

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-07-02T19:47:19.152845Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4e8a5c70-85d2-49c0-a0b1-d76a003ad62c · outbound

This paper cites 2, 1257–1298.

The Rectangular Finite Free Heat Flow 2, 1257–1298

Reference 23

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Observation ead773e0-3215-40a6-8081-2c26b07aaec8 · outbound

This paper cites Marcus,A rectangular additive convolution for polynomials, Combinatorial Theory2(2022), no.

The Rectangular Finite Free Heat Flow Marcus,A rectangular additive convolution for polynomials, Combinatorial Theory2(2022), no

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation bbf3dbb2-0796-41c2-b309-4c3f77df13ee · outbound

This paper cites Large Deviations Asymptotics of Rectangular Spherical Integral.

The Rectangular Finite Free Heat Flow Large Deviations Asymptotics of Rectangular Spherical Integral

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-07-02T19:47:19.143119Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 17ad88e7-c792-491a-8385-03e2d78abfde · outbound

This paper cites Hall and Ching-Wei Ho,The heat flow conjecture for polynomials and random matrices, Letters in Mathematical Physics115(2025), no.

The Rectangular Finite Free Heat Flow Hall and Ching-Wei Ho,The heat flow conjecture for polynomials and random matrices, Letters in Mathematical Physics115(2025), no

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation 125ecfec-9ef9-4cbb-8ec4-562f52207250 · outbound

This paper cites Hall, Ching-Wei Ho, Jonas Jalowy, and Zakhar Kabluchko,The heat flow, GAF, and SL(2; R), Indiana University Mathematics Journal74(2025), 1153–1206.

The Rectangular Finite Free Heat Flow Hall, Ching-Wei Ho, Jonas Jalowy, and Zakhar Kabluchko,The heat flow, GAF, and SL(2; R), Indiana University Mathematics Journal74(2025), 1153–1206

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation 93ce373a-a455-4bcc-b7e2-a46d6dce759b · outbound

This paper cites an unresolved cited work.

The Rectangular Finite Free Heat Flow Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation 6a5d187c-6500-4576-afa7-669a356f9b6b · outbound

This paper cites H¨ ofert, J.

The Rectangular Finite Free Heat Flow H¨ ofert, J

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-07-02T19:47:19.139206Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 52235650-7986-4e25-a024-3a640498cb63 · outbound

This paper cites 3, 201–230.

The Rectangular Finite Free Heat Flow 3, 201–230

Reference 30

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Observation b9a13172-5a62-4668-a78d-92d8d412056a · outbound

This paper cites 34, 1–10.

The Rectangular Finite Free Heat Flow 34, 1–10

Reference 31

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Observation 7def2eb1-6251-4749-a5ce-d2ef1c9573cf · outbound

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The Rectangular Finite Free Heat Flow Unresolved cited work

Reference 32

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Observation ac4f084b-dac4-40e8-8dc8-33c3f111f669 · outbound

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The Rectangular Finite Free Heat Flow Unresolved cited work

Reference 33

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Observation 80e790d4-41e0-4f87-b66c-616f6b2b10eb · outbound

This paper cites an unresolved cited work.

The Rectangular Finite Free Heat Flow Unresolved cited work

Reference 34

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Observation cb598da2-654b-403e-b9fb-3d0d5fc38e9c · outbound

This paper cites an unresolved cited work.

The Rectangular Finite Free Heat Flow Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation 693f211a-386a-4464-8438-d30d66bf353a · outbound

This paper cites LaSalle and S.

The Rectangular Finite Free Heat Flow LaSalle and S

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation d5d46dc9-2ed7-42a8-b9f2-e6d659eecd67 · outbound

This paper cites Polynomial convolutions and (finite) free probability.

The Rectangular Finite Free Heat Flow Polynomial convolutions and (finite) free probability

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-07-02T19:47:19.147455Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b7a4063f-9843-4b8b-a4a8-383cdfafb0ae · outbound

This paper cites Marcus, Daniel A.

The Rectangular Finite Free Heat Flow Marcus, Daniel A

Reference 38

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Observation 807b1227-d6a2-455d-8383-0d38add743ba · outbound

This paper cites Olshanetsky and Askold M.

The Rectangular Finite Free Heat Flow Olshanetsky and Askold M

Reference 39

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Observation 194f875f-dc23-4032-9f7a-a710bb89dbcc · outbound

This paper cites 1-2, 101–174.

The Rectangular Finite Free Heat Flow 1-2, 101–174

Reference 40

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Observation 91948071-5ad8-416f-aa20-00fabdbb96ca · outbound

This paper cites 8, 3343–3357.

The Rectangular Finite Free Heat Flow 8, 3343–3357

Reference 41

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Observation 85788e4a-9e2d-42ce-9db9-8d9f784788b5 · outbound

This paper cites 293, Springer, 1999.

The Rectangular Finite Free Heat Flow 293, Springer, 1999

Reference 42

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation 9a00cf78-aa1a-42af-94e8-1fcd4cff5d11 · outbound

This paper cites Dunkl operators: Theory and applications.

The Rectangular Finite Free Heat Flow Dunkl operators: Theory and applications

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-07-02T19:47:19.158242Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6f0513bd-c9e1-43f2-bd0e-d99f4ae34ea1 · outbound

This paper cites R¨ osler and M.

The Rectangular Finite Free Heat Flow R¨ osler and M

Reference 44

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Observation 5f49411c-161a-4622-8f77-04802d9bbec9 · outbound

This paper cites an unresolved cited work.

The Rectangular Finite Free Heat Flow Unresolved cited work

Reference 45

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Observation 054b0b9c-c741-48dc-b90b-06a4e621953a · outbound

This paper cites Accessed 29 May 2026.

The Rectangular Finite Free Heat Flow Accessed 29 May 2026

Reference 46

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation 88382280-ada7-4cfe-b7fa-0ecd97d1fa65 · outbound

This paper cites 1, 201–220.

The Rectangular Finite Free Heat Flow 1, 201–220

Reference 47

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation 7880a24d-74ea-4b22-a4a2-839cf09f23ba · outbound

This paper cites 1, 411–440.

The Rectangular Finite Free Heat Flow 1, 411–440

Reference 48

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation d4276cb5-3cc3-4d56-8306-268314e12106 · outbound

This paper cites 1, American Mathematical Society, 1992.

The Rectangular Finite Free Heat Flow 1, American Mathematical Society, 1992

Reference 49

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation d94f7c79-db50-473c-aea2-55a6c0178b0d · outbound

This paper cites Voit,Central limit theorems for multivariate Bessel processes in the freezing regime, Journal of Approximation Theory239(2019), 210–231.

The Rectangular Finite Free Heat Flow Voit,Central limit theorems for multivariate Bessel processes in the freezing regime, Journal of Approximation Theory239(2019), 210–231

Reference 50

Resolution: unresolved; no resolver link, observed 2026-06-27T21:23:18.800854Z

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Observation 267f10aa-dd61-4eab-a718-6ca07e352541 · outbound

This paper cites Limit theorems for Bessel and Dunkl processes of large dimensions and free convolutions.

The Rectangular Finite Free Heat Flow Limit theorems for Bessel and Dunkl processes of large dimensions and free convolutions

Reference 51

Resolution: verified exact; arxiv_id, observed 2026-07-02T19:47:19.144688Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a85747f6-aa3e-4d63-bcf3-1a23a2516a0b · outbound

This paper cites Rectangular Matrix Additions in Low and High Temperatures.

The Rectangular Finite Free Heat Flow Rectangular Matrix Additions in Low and High Temperatures

Reference 52

Resolution: verified exact; local_arxiv, observed 2026-07-02T19:47:19.155731Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

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