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Paper Citation Record · LEDGER

On the spacing of zeros of paraorthogonal polynomials for singular measures

As of 16 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:1908.06737.

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

pith.paper-citation-record.v1
1908.06737 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:49:55.815674Z

measured 29 of 29 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

29 of 29 outbound references displayed

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  • verified fuzzy25
  • unresolved3
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  • malformed identifier0
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External citation measurements

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Outbound references

Observation c19b9ed3-5ee7-4825-8cc3-6bf2553cbd9f · outbound

This paper cites Avila, Y.

On the spacing of zeros of paraorthogonal polynomials for singular measures Avila, Y

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e0a898b2-9a85-4f3e-8896-76bae321bc2b · outbound

This paper cites Breuer, Sine kernel asymptotics for a class of singular measures , J.

On the spacing of zeros of paraorthogonal polynomials for singular measures Breuer, Sine kernel asymptotics for a class of singular measures , J

Reference 2

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raw_fallback, observed 2026-08-14T12:49:56.165904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation aade9173-3099-47a6-8203-ebd1081f811f · outbound

This paper cites Breuer and D.

On the spacing of zeros of paraorthogonal polynomials for singular measures Breuer and D

Reference 3

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raw_fallback, observed 2026-08-14T12:49:56.154898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e4558828-729b-46cf-9255-e15a5fb9c0e7 · outbound

This paper cites an unresolved cited work.

On the spacing of zeros of paraorthogonal polynomials for singular measures Unresolved cited work

Reference 4

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raw_fallback, observed 2026-08-14T12:49:56.144794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 916a598a-5daa-4d46-b4f3-02a7f8f571d3 · outbound

This paper cites Castillo, F.

On the spacing of zeros of paraorthogonal polynomials for singular measures Castillo, F

Reference 5

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raw_fallback, observed 2026-08-14T12:49:56.134100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:49:55.716383Z digest=sha256:84e8e8398c0c8c973dcf3da211ae92f6e8e0d1dee446aabe53cab3b72d49ff63

Observation 1ddfc87f-1cb0-4113-8b4f-3aed47c599a0 · outbound

This paper cites Freud, Orthogonal Polynomials , Pergamon Press, Oxford-New York, 1971.

On the spacing of zeros of paraorthogonal polynomials for singular measures Freud, Orthogonal Polynomials , Pergamon Press, Oxford-New York, 1971

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:49:55.720864Z digest=sha256:453c95077e41f8d62faf878a8e5a5e28a3d5c78fd913bb1c32e8ec8b80a7fad5

Observation 6a8ca4b3-c560-4f63-b814-c0ec4df65e33 · outbound

This paper cites Golinskii, Quadrature formula and zeros of para-orthogonal polynomi- als on the unit circle Acta Math.

On the spacing of zeros of paraorthogonal polynomials for singular measures Golinskii, Quadrature formula and zeros of para-orthogonal polynomi- als on the unit circle Acta Math

Reference 7

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raw_fallback, observed 2026-08-14T12:49:56.113653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation d1029b71-6b1d-4205-b947-745821b2b0e9 · outbound

This paper cites Jitomirskaya and Y.

On the spacing of zeros of paraorthogonal polynomials for singular measures Jitomirskaya and Y

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ed7357d7-96e2-43d4-afa9-790d14b951ee · outbound

This paper cites an unresolved cited work.

On the spacing of zeros of paraorthogonal polynomials for singular measures Unresolved cited work

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:49:55.734803Z digest=sha256:08d82df82ab89c889c53e45a38c8bda64f6cee68ee48e0480cd030e4e29e722b

Observation ca130f13-f750-43b5-8a5b-379831547f0e · outbound

This paper cites Killip and I.

On the spacing of zeros of paraorthogonal polynomials for singular measures Killip and I

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation d91604c0-a41c-4f85-b45c-b2debffc4ae8 · outbound

This paper cites Killip and M.

On the spacing of zeros of paraorthogonal polynomials for singular measures Killip and M

Reference 11

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c42e984d-c42c-48a7-95c8-ea6fe56cf7c7 · outbound

This paper cites Last and B.

On the spacing of zeros of paraorthogonal polynomials for singular measures Last and B

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5a16b6d1-1073-4786-ae73-5ba08b4b9c59 · outbound

This paper cites Last and B.

On the spacing of zeros of paraorthogonal polynomials for singular measures Last and B

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ba7d4e1b-fca4-4c44-bdba-52cd2a35b625 · outbound

This paper cites Levin and D.

On the spacing of zeros of paraorthogonal polynomials for singular measures Levin and D

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:49:55.756475Z digest=sha256:224d89eb6fa80d9777d2d458b1a0ef2b4cdbba58ca4714e8f93e2bd4516fb345

Observation e7b5ed0d-b57a-4406-99bb-927438017264 · outbound

This paper cites Levin and D.

On the spacing of zeros of paraorthogonal polynomials for singular measures Levin and D

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:49:56.024922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:49:55.760162Z digest=sha256:06f1086da0ed8b01bf2b4dd2eae680f3c8eb11da58d42478c4dc7c2cde487d62

Observation ac32e41a-5bd7-421e-9332-8a285737cae3 · outbound

This paper cites Lubinsky, An update on local universality limits for correlation func - tions generated by unitary ensembles , SIGMA 12 (2016), 078, 36pp.

On the spacing of zeros of paraorthogonal polynomials for singular measures Lubinsky, An update on local universality limits for correlation func - tions generated by unitary ensembles , SIGMA 12 (2016), 078, 36pp

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:49:55.763809Z digest=sha256:0b86ad54eded70a4a9d7ac2efd35b6af88065c626cb95c50f01ca10ce026481b

Observation 7d197f83-460c-40b7-bbdc-24ad4c81b1c7 · outbound

This paper cites Martinez-Finkelshtein, A.

On the spacing of zeros of paraorthogonal polynomials for singular measures Martinez-Finkelshtein, A

Reference 17

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raw_fallback, observed 2026-08-14T12:49:56.002921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:49:55.767291Z digest=sha256:adb5dbc7acd24174271be87535ef22f1d43d6fc12b079996928002a4379b71b7

Observation 6008b038-c869-4ed3-b54c-7289587f978c · outbound

This paper cites Martinez-Finkelshtein, B.

On the spacing of zeros of paraorthogonal polynomials for singular measures Martinez-Finkelshtein, B

Reference 18

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raw_fallback, observed 2026-08-14T12:49:55.990789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:49:55.771025Z digest=sha256:b507d1463e68bae3d83709eaa36ad3d1e8c22cf3249c8970435d85e52a84f726

Observation 8ff6c93b-22e8-450b-be78-5df4dd69c202 · outbound

This paper cites an unresolved cited work.

On the spacing of zeros of paraorthogonal polynomials for singular measures Unresolved cited work

Reference 19

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raw_fallback, observed 2026-08-14T12:49:55.978585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:49:55.774809Z digest=sha256:fea20b8d514c67153914c3231324b507065fc8549aae778c28cdbd614f267304

Observation 645c4a78-004e-47dd-a839-78e134c9f3db · outbound

This paper cites Simanek, Zeros of non-Baxter paraorthogonal polynomials on the unit circle, Constr.

On the spacing of zeros of paraorthogonal polynomials for singular measures Simanek, Zeros of non-Baxter paraorthogonal polynomials on the unit circle, Constr

Reference 20

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raw_fallback, observed 2026-08-14T12:49:55.967161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:49:55.779898Z digest=sha256:25c8ae2f53f04bbed3a3ded11f3ef71b4fd81b2f4cc480cd191add52491ab36c

Observation 32682655-0112-4332-a1c3-50823b929864 · outbound

This paper cites Simanek, An electrostatic interpretation of the zeros of paraorthogonal polynomials on the unit circle , SIAM J.

On the spacing of zeros of paraorthogonal polynomials for singular measures Simanek, An electrostatic interpretation of the zeros of paraorthogonal polynomials on the unit circle , SIAM J

Reference 21

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 22e2dc6d-9a26-47b6-9c91-f491862b9621 · outbound

This paper cites Zero Spacings of Paraorthogonal Polynomials on the Unit Circle.

On the spacing of zeros of paraorthogonal polynomials for singular measures Zero Spacings of Paraorthogonal Polynomials on the Unit Circle

Reference 22

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local_arxiv, observed 2026-08-14T12:49:55.852978Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:49:55.787979Z digest=sha256:6772525bc6ea32e4dc8c189eb1cb5d6964da35c37bc9f305ed8854aaae8ce88a

Observation 4f6dc33c-8639-4ff3-83a5-c13745bc8293 · outbound

This paper cites Simon, Fine structure of the zeros of orthogonal polynomials on the unit circle, I.

On the spacing of zeros of paraorthogonal polynomials for singular measures Simon, Fine structure of the zeros of orthogonal polynomials on the unit circle, I

Reference 23

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:49:55.791981Z digest=sha256:9d07205a80ecbca819592e3a0c0b69b35e33e887e88a8f1b6d7ee699d9f066a0

Observation 08866e7c-bd5b-4d1d-ab2b-475119bf00b3 · outbound

This paper cites Simon, Rank one perturbations and the zeros of paraorthogonal poly - nomials on the unit circle , J.

On the spacing of zeros of paraorthogonal polynomials for singular measures Simon, Rank one perturbations and the zeros of paraorthogonal poly - nomials on the unit circle , J

Reference 24

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:49:55.795933Z digest=sha256:8b529a3d7046d14c69bc5b19947f3feef0404ea814fb0d40669d07ba8b99e37e

Observation 4149af87-f50f-4be9-9801-e1e4e715d57d · outbound

This paper cites Simon, The Christoffel-Darboux Kernel , Proc.

On the spacing of zeros of paraorthogonal polynomials for singular measures Simon, The Christoffel-Darboux Kernel , Proc

Reference 25

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raw_fallback, observed 2026-08-14T12:49:55.916653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:49:55.800480Z digest=sha256:e06578d459bc21122c69351331862b854a4b076e1af612e639954496d5363b6a

Observation 46f34ff8-3d38-4b56-bfa8-ea6970125774 · outbound

This paper cites Simon, Orthogonal Polynomials on the Unit Circle , American Math- ematical Society Colloquium Publications 54, American Mathematical Society, Providence, RI, 2009.

On the spacing of zeros of paraorthogonal polynomials for singular measures Simon, Orthogonal Polynomials on the Unit Circle , American Math- ematical Society Colloquium Publications 54, American Mathematical Society, Providence, RI, 2009

Reference 26

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raw_fallback, observed 2026-08-14T12:49:55.902390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:49:55.804163Z digest=sha256:e3a3a48f6c5ec8a69efa03a7c1441bef2470591a6c03a1ebe706a92ee9ac646d

Observation 94e2738b-7537-4115-bb98-5b7a3fbd8491 · outbound

This paper cites Stoiciu, The statistical distribution of the zeros of random paraort hog- onal polynomials on the unit circle , J.

On the spacing of zeros of paraorthogonal polynomials for singular measures Stoiciu, The statistical distribution of the zeros of random paraort hog- onal polynomials on the unit circle , J

Reference 27

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raw_fallback, observed 2026-08-14T12:49:55.890225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:49:55.807744Z digest=sha256:d35a4e2f67d9569d89b08879919fd0382592f7f2af1a8c2c48d1846442c85fd0

Observation 34afc663-631a-451e-89e0-b474db86927f · outbound

This paper cites Wong, First and second kind paraorthogonal polynomials and their zeros, J.

On the spacing of zeros of paraorthogonal polynomials for singular measures Wong, First and second kind paraorthogonal polynomials and their zeros, J

Reference 28

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raw_fallback, observed 2026-08-14T12:49:55.877704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:49:55.811895Z digest=sha256:0c0c34ebb078e3659107a4412954a59c1a31a067b3783d2719044e855fa15e95

Observation 83b4cc40-8572-4168-81aa-82428ff89d18 · outbound

This paper cites Zlatoˇ s, Sparse potentials with fractional Hausdorff dimensions , J.

On the spacing of zeros of paraorthogonal polynomials for singular measures Zlatoˇ s, Sparse potentials with fractional Hausdorff dimensions , J

Reference 29

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raw_fallback, observed 2026-08-14T12:49:55.864720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:49:55.815674Z digest=sha256:a29e56193ffc57d1805d5e575b4b813afc07d2283aba282a002137914e34cfe6

Pith citing papers

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