Paper Citation Record · LEDGER

Operators associated with a domain in $\mathbb C^4$ and applications

As of 8 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2507.14589.

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

pith.paper-citation-record.v1
2507.14589 v2

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:13:58.582617Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T00:24:15.574381Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T00:24:15.693938Z

Reference resolution

39 of 39 outbound references displayed

verified exact0
verified fuzzy21
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f90b6416-128e-4202-b97d-61872eae675c · outbound

This paper cites an unresolved cited work.

Operators associated with a domain in $\mathbb C^4$ and applications Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T16:13:53.167096Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33727f84-a068-48ba-904e-c6565c6b3473 · outbound

This paper cites Agler, Z.

Operators associated with a domain in $\mathbb C^4$ and applications Agler, Z

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T16:13:53.240815Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 414d179a-0fcc-40e3-b0a8-5f6c742c14ed · outbound

This paper cites Agler and N.

Operators associated with a domain in $\mathbb C^4$ and applications Agler and N

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T16:13:53.381606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c464a344-ed38-4660-9a8d-9744145e7e31 · outbound

This paper cites Agler and N.

Operators associated with a domain in $\mathbb C^4$ and applications Agler and N

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:14:07.591654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cc675afc-2b8c-4d5b-ad1c-5035e70dd693 · outbound

This paper cites Agler and N.

Operators associated with a domain in $\mathbb C^4$ and applications Agler and N

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T16:13:53.633604Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21795ae0-8a37-421f-af44-f25afa0a03ad · outbound

This paper cites Agler and N.

Operators associated with a domain in $\mathbb C^4$ and applications Agler and N

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T16:13:53.798663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58286de2-62bb-4344-8b4d-b5495d5474bf · outbound

This paper cites an unresolved cited work.

Operators associated with a domain in $\mathbb C^4$ and applications Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:14:07.433230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 133a9950-12da-412a-888f-57b1627f00d1 · outbound

This paper cites an unresolved cited work.

Operators associated with a domain in $\mathbb C^4$ and applications Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:14:07.200776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation eade5fb5-2809-4bdd-a22f-b07961b8b409 · outbound

This paper cites And ˆo,On a pair of commutative contractions, Acta Sci.

Operators associated with a domain in $\mathbb C^4$ and applications And ˆo,On a pair of commutative contractions, Acta Sci

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T16:13:54.145761Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60a56453-663b-482c-91a4-471b87600f30 · outbound

This paper cites Arveson,Subalgebras of C ∗-algebras II, Acta Math., 128 (1972), 271 – 308.

Operators associated with a domain in $\mathbb C^4$ and applications Arveson,Subalgebras of C ∗-algebras II, Acta Math., 128 (1972), 271 – 308

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:14:06.944243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 31ba6e1b-4f44-40f1-b63f-213316ea4ea8 · outbound

This paper cites Arveson,Subalgebras of C ∗-algebras.

Operators associated with a domain in $\mathbb C^4$ and applications Arveson,Subalgebras of C ∗-algebras

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:14:06.773947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6fa4fcf8-9193-4b44-bab3-5da7ced4480c · outbound

This paper cites Athavale,On the intertwining of joint isometries, J.

Operators associated with a domain in $\mathbb C^4$ and applications Athavale,On the intertwining of joint isometries, J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:14:06.581290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7f4b3a0a-d403-4d04-a527-3b30fd916919 · outbound

This paper cites Athavale,Model theory on the unit ball inC m, J.

Operators associated with a domain in $\mathbb C^4$ and applications Athavale,Model theory on the unit ball inC m, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:14:06.380272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b4c080b7-5e78-46cf-89c0-d8955861f7e1 · outbound

This paper cites Athavale and S.

Operators associated with a domain in $\mathbb C^4$ and applications Athavale and S

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:14:06.186485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7233bf0e-b8e1-4569-a111-fe2c8b9dd412 · outbound

This paper cites an unresolved cited work.

Operators associated with a domain in $\mathbb C^4$ and applications Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:14:05.963743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c16b87f2-23cf-43c7-8e0d-19f8fafea31a · outbound

This paper cites Bhattacharyya,The tetrablock as a spectral set, Indiana Univ.

Operators associated with a domain in $\mathbb C^4$ and applications Bhattacharyya,The tetrablock as a spectral set, Indiana Univ

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T16:13:55.229925Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f98f1c48-02ee-43fb-b2fe-d93c9d9f8a01 · outbound

This paper cites Bhattacharyya, S.

Operators associated with a domain in $\mathbb C^4$ and applications Bhattacharyya, S

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:14:05.715388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fb629f41-5669-4ae7-a04f-d3d2a439496d · outbound

This paper cites Bhattacharyya, S.

Operators associated with a domain in $\mathbb C^4$ and applications Bhattacharyya, S

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T16:13:55.460761Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95f18b9b-08e9-404f-ba22-7955d5819e72 · outbound

This paper cites The Hexablock: a domain associated with the $\mu$-synthesis in $M_2(\mathbb C)$.

Operators associated with a domain in $\mathbb C^4$ and applications The Hexablock: a domain associated with the $\mu$-synthesis in $M_2(\mathbb C)$

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T16:13:55.621542Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24214b27-afe4-4d10-938b-362e880a9d9f · outbound

This paper cites Bram,Subnormal operators, Duke Math.

Operators associated with a domain in $\mathbb C^4$ and applications Bram,Subnormal operators, Duke Math

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:14:05.453216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7b3608b8-4b4b-499d-9107-bf1969ebf738 · outbound

This paper cites Doyle, Analysis of feedback systems with structured uncertainties,IEE Proc.

Operators associated with a domain in $\mathbb C^4$ and applications Doyle, Analysis of feedback systems with structured uncertainties,IEE Proc

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:14:05.205032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 51ce309f-33c0-4910-bb35-962f862ad4d9 · outbound

This paper cites an unresolved cited work.

Operators associated with a domain in $\mathbb C^4$ and applications Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:14:04.857409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1285ed66-f33e-4a3e-b0f3-d0b815e2f28f · outbound

This paper cites Eschmeier,Invariant subspaces for spherical contractions, Proc.

Operators associated with a domain in $\mathbb C^4$ and applications Eschmeier,Invariant subspaces for spherical contractions, Proc

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:14:04.545349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 308728f6-3ad2-4279-b067-31d49057a1c0 · outbound

This paper cites Eschmeier and M.

Operators associated with a domain in $\mathbb C^4$ and applications Eschmeier and M

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:14:04.285037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2d85efb9-2636-48ca-97d2-510ec51da624 · outbound

This paper cites an unresolved cited work.

Operators associated with a domain in $\mathbb C^4$ and applications Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:14:03.985028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 81c8ddc6-6821-45be-8603-fa0e707dfd66 · outbound

This paper cites Fuglede,A commutativity theorem for normal operators, Proc.

Operators associated with a domain in $\mathbb C^4$ and applications Fuglede,A commutativity theorem for normal operators, Proc

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:14:02.471125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 85e8200c-6b5a-4eca-bd31-b0d3953dd9d3 · outbound

This paper cites Jindal and P.

Operators associated with a domain in $\mathbb C^4$ and applications Jindal and P

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:14:02.245471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation de4fbaf7-ecdc-4c5b-a1b4-2c6149da6a41 · outbound

This paper cites Kosi ´nski,The group of automorphisms of the pentablock, Complex Anal.

Operators associated with a domain in $\mathbb C^4$ and applications Kosi ´nski,The group of automorphisms of the pentablock, Complex Anal

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:14:01.947949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5a938649-a4f3-49fd-9f25-67e853a80220 · outbound

This paper cites an unresolved cited work.

Operators associated with a domain in $\mathbb C^4$ and applications Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:14:01.518080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 196f19ed-98a2-44b7-be7b-b0538e69c7d0 · outbound

This paper cites an unresolved cited work.

Operators associated with a domain in $\mathbb C^4$ and applications Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:14:01.166201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2a90e6cd-e84d-4aa2-8d52-8b00f99a80a6 · outbound

This paper cites Sz.-Nagy, C.

Operators associated with a domain in $\mathbb C^4$ and applications Sz.-Nagy, C

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:14:00.902349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a57a6e50-0ec6-4e10-b841-0df822d246ba · outbound

This paper cites Pal,The failure of rational dilation on the tetrablock, J.

Operators associated with a domain in $\mathbb C^4$ and applications Pal,The failure of rational dilation on the tetrablock, J

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:14:00.591679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation efecab6f-e3dd-4b64-abf3-ffb36a3ccacd · outbound

This paper cites Pal,Canonical decomposition of a tetrablock contraction and operator model, J.

Operators associated with a domain in $\mathbb C^4$ and applications Pal,Canonical decomposition of a tetrablock contraction and operator model, J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:14:00.355363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 05d02563-2cf5-4a37-bf78-6e57234afd87 · outbound

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

Operators associated with a domain in $\mathbb C^4$ and applications Pal,Subvarieties of the tetrablock and von Neumann’s inequality, Indiana Univ

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:14:00.016393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f471c86f-6a84-4f99-9598-08badc04f2a5 · outbound

This paper cites Pal,Common reducing subspaces and decompositions of contractions, Forum Math., 34 (2022), 1313 – 1332.

Operators associated with a domain in $\mathbb C^4$ and applications Pal,Common reducing subspaces and decompositions of contractions, Forum Math., 34 (2022), 1313 – 1332

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:13:59.728865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e72abc60-f5ed-467f-9b87-8f99caaa85e6 · outbound

This paper cites Operators associated with the pentablock and their relations with biball and symmetrized bidisc.

Operators associated with a domain in $\mathbb C^4$ and applications Operators associated with the pentablock and their relations with biball and symmetrized bidisc

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-06T16:13:58.170902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7fdf467b-4668-4302-a4aa-91e642fdabb3 · outbound

This paper cites Rudin,Functional analysis, McGraw-Hill, New York, Second edition, 1991.

Operators associated with a domain in $\mathbb C^4$ and applications Rudin,Functional analysis, McGraw-Hill, New York, Second edition, 1991

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:13:59.487093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e14fd609-d554-42bf-8cea-8913bf2b2acd · outbound

This paper cites Su,Geometric properties of the pentablock, Complex Anal.

Operators associated with a domain in $\mathbb C^4$ and applications Su,Geometric properties of the pentablock, Complex Anal

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:13:59.205022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d048446b-73cc-4632-a481-400c18f8df7c · outbound

This paper cites an unresolved cited work.

Operators associated with a domain in $\mathbb C^4$ and applications Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:13:58.899915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

Observation 32a50d4e-fb29-49a9-947c-353dd94657ea · inbound

Function theory of the hexablock and applications to the tetrablock and Euclidean biball cites this paper.

Function theory of the hexablock and applications to the tetrablock and Euclidean biball Operators associated with a domain in $\mathbb C^4$ and applications

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-08-05T00:24:15.698977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.