Paper Citation Record · LEDGER

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$

As of 18 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2608.13366.

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

pith.paper-citation-record.v1
2608.13366 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:56:24.222896Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

verified exact2
verified fuzzy26
unresolved9
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 070d9921-ff5d-4588-8138-ae240ce4e478 · outbound

This paper cites an unresolved cited work.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:56:24.812384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0c2ff418-8365-4562-b366-b2a120e4deb1 · outbound

This paper cites Agler and J.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Agler and J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.798215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d8cec593-77ea-4bb9-b6b0-2625a8787772 · outbound

This paper cites Agler and N.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Agler and N

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.783599Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fbf92892-afa6-44ca-9974-f4fbb07be68d · outbound

This paper cites Agler and N.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Agler and N

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.768508Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 46ecf32c-ab02-4eb0-a02c-2e421bad4ef4 · outbound

This paper cites Agler and J.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Agler and J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.754018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c366407c-383b-4c1d-b073-d555716394e2 · outbound

This paper cites Agler, J.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Agler, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.739448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a8b685cf-f3ee-4d0f-b2de-1a0343143bc2 · outbound

This paper cites Agler, Zinaida A.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Agler, Zinaida A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.724896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 96545342-b5a3-4fe8-b486-c494c9d88ce4 · outbound

This paper cites Ando,On a Pair of Commutative Contractions, Acta Sci.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Ando,On a Pair of Commutative Contractions, Acta Sci

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.710451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 07c1814b-6241-4a6e-9748-8c58cddf6de4 · outbound

This paper cites an unresolved cited work.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:56:24.695375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4b11dc21-84e5-43f5-be39-c3ba029b862f · outbound

This paper cites Princeton University Press, Princeton, NJ (2007).

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Princeton University Press, Princeton, NJ (2007)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.680870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 076cce70-239a-462d-a858-285966b75166 · outbound

This paper cites Biswas and S.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Biswas and S

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.666302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7200b0e5-74be-4d22-a1d7-602bb2e0d00f · outbound

This paper cites Contractive Hilbert modules on quotient domains.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Contractive Hilbert modules on quotient domains

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-14T12:56:24.103810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46fa05ec-9b8a-4280-8168-596bf0998589 · outbound

This paper cites Bhattacharyya,The Tetrablock as a Spectral Set,Indiana Univ.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Bhattacharyya,The Tetrablock as a Spectral Set,Indiana Univ

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.651434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fad48d86-45d8-4ed9-b52b-f708aa046a9a · outbound

This paper cites Bhattacharyya, S.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Bhattacharyya, S

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.637207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d9bbd675-1cf2-4075-bc38-f712c611f94b · outbound

This paper cites Costara,On the spectral Nevanlinna-Pick problem,Studia Math.,170(2005), 23–55.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Costara,On the spectral Nevanlinna-Pick problem,Studia Math.,170(2005), 23–55

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.622801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6806f953-d9a1-43d7-aecf-1bf749a28cb1 · outbound

This paper cites Eisenbud and E.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Eisenbud and E

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.608251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 73bb049b-320d-4226-800e-6b6e68803af6 · outbound

This paper cites Fischer,Plane algebraic curves, Stud.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Fischer,Plane algebraic curves, Stud

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.593752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 29ae6651-472b-40b1-b2f4-1c4df7aeb257 · outbound

This paper cites Griffiths,Introduction to algebraic curves, Transl.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Griffiths,Introduction to algebraic curves, Transl

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.579057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation deb68843-26d5-4b5d-abd6-ac13c0eb0f21 · outbound

This paper cites Griffiths and J.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Griffiths and J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.563981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7da570a0-1bdd-49ba-90e5-e640d26817d7 · outbound

This paper cites Kunj,Introduction to commutative algebra and algebraic geometry, Birkh¨ auser, Boston, (1985).

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Kunj,Introduction to commutative algebra and algebraic geometry, Birkh¨ auser, Boston, (1985)

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.548577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6e1ee0ea-57a7-4088-aa6f-5b089c333140 · outbound

This paper cites an unresolved cited work.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:56:24.533228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e3c9cba3-4cb2-42dc-b778-d6fe29b52d96 · outbound

This paper cites Brown-Halmos type Theorems on the proper images of bounded symmetric domains.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Brown-Halmos type Theorems on the proper images of bounded symmetric domains

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-14T12:56:24.151431Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca38f786-6319-4411-abf2-da6b0a8ca737 · outbound

This paper cites On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:56:24.317013Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b28eabad-3774-4600-8c68-1ec733c4abf5 · outbound

This paper cites an unresolved cited work.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:56:24.518262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7629bd36-48d9-4044-baf3-f62f4b34c700 · outbound

This paper cites Mandal and A.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Mandal and A

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.503928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bdf2b609-3e24-4181-b99b-dc1cfc4362ab · outbound

This paper cites Sz.-Nagy, C.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Sz.-Nagy, C

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.489591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 25666cac-6f73-494a-a18d-67e3df4f68d9 · outbound

This paper cites an unresolved cited work.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:56:24.474724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f860cb08-6c4d-4d3e-b2dc-d9add5f1cdd7 · outbound

This paper cites Pal and Orr Moshe Shalit,Spectral sets and distinguished variety in the symmetrized bidisc, J.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Pal and Orr Moshe Shalit,Spectral sets and distinguished variety in the symmetrized bidisc, J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.459736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ceb2bd9c-5983-4164-b06c-a1515be41934 · outbound

This paper cites Pal,Subvarieties of the Tetrablock and von Neumann’s Inequality, Indiana Univ.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Pal,Subvarieties of the Tetrablock and von Neumann’s Inequality, Indiana Univ

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.444388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fa7bcd33-c73d-49b5-963c-c48686057d12 · outbound

This paper cites Pal,The Fundamental Operator Tuples Associated with the Symmetrized Polydisc, New York J.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Pal,The Fundamental Operator Tuples Associated with the Symmetrized Polydisc, New York J

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.429296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8fec918f-999e-4e9a-9be9-de52d051d700 · outbound

This paper cites Pal,Dilation, functional model and a complete unitary invariant forC .0-contractions, Infinite Dimensional Analysis, Quantum Probability and Related Topics,26, No.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Pal,Dilation, functional model and a complete unitary invariant forC .0-contractions, Infinite Dimensional Analysis, Quantum Probability and Related Topics,26, No

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.413876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f2844eb2-7c65-4b56-abe1-09c29ea50785 · outbound

This paper cites Pal,Distinguished varieties in a family of domains associated with spectral interpolation and operator theory, Ann.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Pal,Distinguished varieties in a family of domains associated with spectral interpolation and operator theory, Ann

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.397042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a559738d-2a1e-4fa6-bd9a-61959cec8839 · outbound

This paper cites Pal,Distinguished varieties in the polydisc and dilation of commuting contractions, Mathematische Zeitschrift (2025), https://doi.org/10.1007/s00209-025-03793-9.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Pal,Distinguished varieties in the polydisc and dilation of commuting contractions, Mathematische Zeitschrift (2025), https://doi.org/10.1007/s00209-025-03793-9

Reference 33

Resolution: verified exact; doi, observed 2026-08-14T12:56:24.261346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f9b276a5-0b52-4be2-a09b-1a4b7357c257 · outbound

This paper cites Pal,OnΓ n-Contractions and Their Conditional Dilations, Journal of Mathematical Analysis and Application, 510(2022) 1-36.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Pal,OnΓ n-Contractions and Their Conditional Dilations, Journal of Mathematical Analysis and Application, 510(2022) 1-36

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.380307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 767956a3-954e-4fb5-9d32-e7ff48552bcf · outbound

This paper cites Paulsen,Completely Bounded Maps and Operator Algebras,Cambridge Univ.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Paulsen,Completely Bounded Maps and Operator Algebras,Cambridge Univ

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:56:24.364494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 79737643-e909-489f-a855-89701e8bde55 · outbound

This paper cites an unresolved cited work.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:56:24.348144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 97c34ae8-1ca1-460e-80ec-f77095f5df73 · outbound

This paper cites an unresolved cited work.

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$ Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:56:24.332593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

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