Paper Citation Record · LEDGER

A Toeplitz corona theorem for the pentablock and applications

As of 8 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 2 inbound Pith citation observations for arXiv:2606.00850.

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

pith.paper-citation-record.v1
2606.00850 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T17:52:54.420074Z

measured 26 of 26 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T00:25:59.153414Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T00:24:15.646393Z

Reference resolution

24 of 24 outbound references displayed

verified exact2
verified fuzzy0
unresolved22
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8e388073-0040-4c0c-b083-690f30d66f5a · outbound

This paper cites an unresolved cited work.

A Toeplitz corona theorem for the pentablock and applications Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b0323e7-ae16-4320-a8e9-e1dbe8202bf9 · outbound

This paper cites Agler, Z.

A Toeplitz corona theorem for the pentablock and applications Agler, Z

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d58afc55-7035-4204-a46c-4fa2e04e14a4 · outbound

This paper cites Agler and J.

A Toeplitz corona theorem for the pentablock and applications Agler and J

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dcaecf3b-ed2d-41d8-b41d-5bfa5ea190f7 · outbound

This paper cites Agler and J.

A Toeplitz corona theorem for the pentablock and applications Agler and J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1029f768-ab37-46c5-a554-4e9ce29ef755 · outbound

This paper cites Agler and N.

A Toeplitz corona theorem for the pentablock and applications Agler and N

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b5181fc-f827-45b0-baa4-d1c6183c84c1 · outbound

This paper cites Agler and N.

A Toeplitz corona theorem for the pentablock and applications Agler and N

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ddd142b3-a76e-48cf-96d8-c1cbaaa32450 · outbound

This paper cites Agler and N.

A Toeplitz corona theorem for the pentablock and applications Agler and N

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef05819d-1ee9-4a02-86f0-310cbfb2b981 · outbound

This paper cites Amar,On the Toeplitz corona problem, Publ.

A Toeplitz corona theorem for the pentablock and applications Amar,On the Toeplitz corona problem, Publ

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e41b912-2c98-4b21-aa51-56dfacf102f3 · outbound

This paper cites Ambrozie,Remarks on the operator-valued interpolation for multivariable bounded analytic functions, Indiana Univ.

A Toeplitz corona theorem for the pentablock and applications Ambrozie,Remarks on the operator-valued interpolation for multivariable bounded analytic functions, Indiana Univ

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3056fc4-3e30-417f-8b5a-87c6416f1e47 · outbound

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

A Toeplitz corona theorem for the pentablock and applications And ˆo,On a pair of commutative contractions, Acta Sci

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca71a77f-aadf-49a6-96ee-2c157cb0dd79 · outbound

This paper cites Arveson,Interpolation problems in nest algebras, J.

A Toeplitz corona theorem for the pentablock and applications Arveson,Interpolation problems in nest algebras, J

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54a75d20-43ec-47f6-92e5-d493f47b2ffa · outbound

This paper cites Bhattacharyya and H.

A Toeplitz corona theorem for the pentablock and applications Bhattacharyya and H

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aeaaf6d3-d0bd-49f8-838c-25d9f2662036 · outbound

This paper cites Carleson,Interpolations by bounded analytic functions and the corona problem, Ann.

A Toeplitz corona theorem for the pentablock and applications Carleson,Interpolations by bounded analytic functions and the corona problem, Ann

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b97a8c14-06f9-4509-b8cb-91a9826c75d9 · outbound

This paper cites an unresolved cited work.

A Toeplitz corona theorem for the pentablock and applications Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db02e276-5b4b-4de6-8291-788f80ee5fa8 · outbound

This paper cites an unresolved cited work.

A Toeplitz corona theorem for the pentablock and applications Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 905b50cc-f099-4d0d-b0ae-e6c6cf12015c · outbound

This paper cites Eschmeier and M.

A Toeplitz corona theorem for the pentablock and applications Eschmeier and M

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9dc6c638-da1d-4862-b72b-357bb8037f37 · outbound

This paper cites an unresolved cited work.

A Toeplitz corona theorem for the pentablock and applications Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bdbb18e6-555f-40b6-88b2-12866d1dc014 · outbound

This paper cites H ¨ormander,Generators for some rings of analytic functions, Bull.

A Toeplitz corona theorem for the pentablock and applications H ¨ormander,Generators for some rings of analytic functions, Bull

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 15100e43-4d04-4df4-bdda-e3c643a4b7cc · outbound

This paper cites Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem.

A Toeplitz corona theorem for the pentablock and applications Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-06-28T18:02:27.353197Z

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 ff505991-ddce-4fa7-9d03-fd00a43a03e3 · outbound

This paper cites Sz.-Nagy and C.

A Toeplitz corona theorem for the pentablock and applications Sz.-Nagy and C

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4db01aa7-894a-4521-8166-a32912a48c47 · outbound

This paper cites Pal and N.

A Toeplitz corona theorem for the pentablock and applications Pal and N

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d2b934f7-8656-406e-801d-6f7498d290df · outbound

This paper cites Pal and N.

A Toeplitz corona theorem for the pentablock and applications Pal and N

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-06-28T18:02:27.353963Z

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 eed06889-a0ad-4d44-a90f-90e9a7445703 · outbound

This paper cites Rosenblum,A corona theorem for countably many functions, Integral Equations Operator Theory, 3 (1980), 125 – 137.

A Toeplitz corona theorem for the pentablock and applications Rosenblum,A corona theorem for countably many functions, Integral Equations Operator Theory, 3 (1980), 125 – 137

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 803a2f1a-15a0-43d5-8bc5-1249dcd1dd2f · outbound

This paper cites an unresolved cited work.

A Toeplitz corona theorem for the pentablock and applications Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-28T17:52:54.420074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 4815d1c3-7ab0-4310-9e2b-6f500f49d997 · 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 A Toeplitz corona theorem for the pentablock and applications

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-08-05T00:24:15.653150Z

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 572eac09-26be-46e1-ba95-f7f9d084d7aa · inbound

Function theoretic aspects of the symmetrized polydisc and generalization cites this paper.

Function theoretic aspects of the symmetrized polydisc and generalization A Toeplitz corona theorem for the pentablock and applications

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-05T00:25:59.153414Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.