Pith. sign in

Paper Citation Record · LEDGER

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem

As of 8 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 4 inbound Pith citation observations for arXiv:2505.23492.

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

pith.paper-citation-record.v1
2505.23492 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:55:11.293290Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T00:25:59.121942Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T20:46:13.181010Z

Reference resolution

31 of 31 outbound references displayed

  • verified exact0
  • verified fuzzy19
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 07e63f10-b9c0-449a-9f8c-498306b4443e · outbound

This paper cites an unresolved cited work.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:55:16.606670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:09.112722Z digest=sha256:8c7470122b38b512fa3504092691d905594e39936d53a0dc13cfd03a1f5690ed

Observation 1ab4d071-e519-4794-819f-83442949e6d2 · outbound

This paper cites Agler, On the representation of certain holomorphic functions defined on a polydisc, in Topics in operator theory: Ernst D.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Agler, On the representation of certain holomorphic functions defined on a polydisc, in Topics in operator theory: Ernst D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:55:16.419486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:09.160000Z digest=sha256:d59260cf086aae543c874447e01db1b33b90103014364d8352a6e26f50d68703

Observation 326f72d1-096c-4802-bd74-637bf664e2e7 · outbound

This paper cites Agler and J.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Agler and J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:55:16.206417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:09.253129Z digest=sha256:f3427f05572b7ef8115f0251ecc9e5a9ef8f18d7778f7285dbb890d66fcbb21f

Observation 8cc67fb9-6cef-41e3-b4b9-179179bb2814 · outbound

This paper cites Agler and J.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Agler and J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:55:16.045204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:09.317408Z digest=sha256:41303ecad7c539d0a7d154439a48291996ecdb1dddb6e20d460abb63016f50d8

Observation 6a5ded24-022e-4c8e-a793-42aac67654a4 · outbound

This paper cites Agler and J.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Agler and J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:55:15.888604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:09.427682Z digest=sha256:ef4aefd1acbdb208b3ecbd715ff0ababf26b74c87fb11713bc623a0336cfa001

Observation d783a2b2-516a-4da1-83bb-d0667d00659c · outbound

This paper cites Agler and N.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Agler and N

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:55:15.704565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:09.498678Z digest=sha256:23445c287a9a46c0cef8cd6f4ef718473df628c9bb7f412565995d29ffba9364

Observation 8d533787-5d61-45e2-aef7-56d22c9fa9d6 · outbound

This paper cites Agler and N.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Agler and N

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:55:15.551797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:09.601635Z digest=sha256:1f167c7e63b843875832a9eb545502fccddff9e761005fb1b3548ade96cff710

Observation 3e00370b-297e-452e-9939-70c74337d083 · outbound

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

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Amar, On the Toeplitz corona problem, Publ

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:55:15.427201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:09.688476Z digest=sha256:5871eb017eb50a4bfd5a3cb3e81106535d8b9da37b5422741834490bb0c8cbde

Observation 506205d0-a156-484e-925d-3f55f3580e3a · outbound

This paper cites Ambrozie, D.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Ambrozie, D

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:55:15.266424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:09.775895Z digest=sha256:91d6cbfd11daea74caf65d2c73255da1795851c89b270a373ce6499961765a0b

Observation e7d6bbf2-5d97-40b4-ac22-4821096ad641 · outbound

This paper cites an unresolved cited work.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:55:15.062054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:09.833177Z digest=sha256:2a202e1c426ca469ab1da6048e110aa74c3212bf373f72374c2882cef8a47e18

Observation e3d24ef4-c037-4266-9794-4cd0039f61bb · outbound

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

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Arveson, Interpolation problems in nest algebras, J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:55:14.909634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:09.889375Z digest=sha256:f35bb4436b67528621d244466ea833769eb8623de57923edc36c0ea218011c8a

Observation 18d18acc-94fe-43ca-afb9-059c71758a9c · outbound

This paper cites an unresolved cited work.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:55:14.763909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:09.962093Z digest=sha256:8921589a57892f250aba8d06d2348b39fa9d85175cd2124c8efa26379326826b

Observation 393bb862-7f46-435f-b94f-9b55542eb0f3 · outbound

This paper cites an unresolved cited work.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:55:14.589373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:10.032919Z digest=sha256:c5b758c884527ed3ae23f54b4ded0842ef50730d99f8f54a938e3670711e0267

Observation 1055a147-9fbd-4e18-ab5c-90189cde4306 · outbound

This paper cites an unresolved cited work.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:55:14.418608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:10.105398Z digest=sha256:00a3ec0fb87f82944f0c2ba63ebb96a992de4f65d82190b79cd4a7b5333def6f

Observation ea5909c1-94f8-47d1-b893-402d8538f323 · outbound

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

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Bhattacharyya, The Tetrablock as a spectral set, Indiana Univ

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:55:14.124927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:10.171719Z digest=sha256:f21a3318573eb4c03efbf9762bde4454991275ddcd9dce74e0e903621a581800

Observation 30bca85a-1e8c-49a4-baa0-128cc607347e · outbound

This paper cites Bhattacharyya and H.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Bhattacharyya and H

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:55:13.922413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:10.242890Z digest=sha256:72541530ec69bacb4136c590e3a43b626d7eefb87a3cdf17dcc1d062f2f5cf84

Observation e63e9f18-e8c0-4e1e-8aa1-428d28afdb94 · outbound

This paper cites Bhattacharyya and H.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Bhattacharyya and H

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:55:13.693849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:10.304658Z digest=sha256:f9391c1819106a30faec2852f5c869671401d781929226883488a0a9e5d5ae7d

Observation 1db56f18-146e-4fa3-896e-fac7a92ece5b · outbound

This paper cites A transference principle for involution-invariant functional Hilbert spaces.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem A transference principle for involution-invariant functional Hilbert spaces

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T12:55:10.377753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:55:10.377753Z digest=sha256:7291e317c4f1c6c5e5ea40f20d1437c2b66b9589608d33e0f722af1d8760c4c1

Observation 1550c12b-640b-4a52-bb39-ef7868a76398 · outbound

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

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Carleson, Interpolations by bounded analytic functions and the corona problem, Ann

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:55:13.505857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:10.478840Z digest=sha256:ec42bef520be64ee330e5de9a23454f8943e1cec65d792234b1cff5ed3c647c2

Observation 0ce37991-7b5f-4327-b7ce-891c413a7988 · outbound

This paper cites an unresolved cited work.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:55:13.329733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:10.532886Z digest=sha256:8d90b9793015317dd44c9a89a94f20e9743d3210b6acf51a5ac505907cb6f03f

Observation aeb937ba-e33a-4761-857d-f515dd5ce832 · outbound

This paper cites an unresolved cited work.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:55:13.087434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:10.588789Z digest=sha256:04ee9da92558f77d4d479876eb092eb8a6d9c6a29248794d097ddcdedf34e9c0

Observation f79ec282-90d2-4039-aac8-333dc9236157 · outbound

This paper cites an unresolved cited work.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:55:12.895315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:10.646471Z digest=sha256:e7394e82edbfc299c14d6a3a31110e2beb5f60db6cf7f67769de676466982674

Observation 08f691c2-066e-42eb-939e-ddd8bdfd3eda · outbound

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

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Brown-Halmos type Theorems on the proper images of bounded symmetric domains

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-07T12:55:10.716878Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:55:10.716878Z digest=sha256:e67608826526469b889c6e4b583c31a4faddae38a282ac4c88aeb39e8549c028

Observation 95e5b714-d4d0-4262-a5dd-dd0fb5b27f8e · outbound

This paper cites an unresolved cited work.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-07T12:55:10.749543Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:55:10.749543Z digest=sha256:626e6d7834d1d910e5942f31c8158e35c0551f99d30a724978a6a40c57da8726

Observation 813bc937-545d-464c-87df-820c599e08e3 · outbound

This paper cites Misra, S.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Misra, S

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:55:12.722796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:10.831476Z digest=sha256:76bb7f9ccdfeb175f570e80b0cae1d85d1326104ce1c1d2404da9d915b3993fb

Observation a5c5f80a-6742-49ef-8092-ef533032516b · outbound

This paper cites Paulsen and M.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Paulsen and M

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:55:12.511011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:10.928741Z digest=sha256:3da21f5525d5217096b7222d156eb6c619a2ec92f610b4d664b009353dad9b37

Observation e80b9244-2e33-4042-8453-2a3c68f35c01 · outbound

This paper cites Rudin, Functional analysis , Internat.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Rudin, Functional analysis , Internat

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:55:12.336852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:10.998684Z digest=sha256:71f9408960d4701ebf6c7d290fcb72c69a4f7d60d9c01eed13cfdc674c08cf34

Observation 061a51de-0ba5-4947-9f05-4c7448f289f0 · outbound

This paper cites Scheidemann, Introduction to complex analysis in several variables , Birkh¨ auser Verlag, Basel, 2005.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Scheidemann, Introduction to complex analysis in several variables , Birkh¨ auser Verlag, Basel, 2005

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:55:12.179331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:11.071816Z digest=sha256:040c0b317d43aa50932a626bef320003a9d3a812a9ca4e765d1d8981f6887f7e

Observation 4d4f3bcd-b73e-42c2-b03c-a72ccc001b8f · outbound

This paper cites an unresolved cited work.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:55:12.018790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:11.144498Z digest=sha256:b07adb40b47023fbf15df1a3bd51017bc0fd28ce57bf6d8e322a961bfac8d820

Observation 9db64267-64ee-4dfe-8847-17ca94c29afb · outbound

This paper cites Slodkowski and W.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Slodkowski and W

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:55:11.781731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:11.212349Z digest=sha256:60d039a22bceb689eb66a79a3d7a49bfbe7d14358b3bb3545aec5f1a2b315bb1

Observation 8a99cd28-b396-44b0-87dc-01b42e9f4893 · outbound

This paper cites Vasilescu, Analytic functional calculus and spectral decompositions, 1(1982), Math.

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem Vasilescu, Analytic functional calculus and spectral decompositions, 1(1982), Math

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:55:11.514011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:55:11.293290Z digest=sha256:18bac9fc9ee836f2e4ee832f511906405c36bfb8500e8050a0700ef4e6609ae9

Pith citing papers

Observation 218ab9dc-30d5-4b31-8b67-04172e3d3cb0 · inbound

Realization, interpolation, extension on the pentablock and applications to $\mathbb D^2$, $\mathbb G_2$ cites this paper.

Realization, interpolation, extension on the pentablock and applications to $\mathbb D^2$, $\mathbb G_2$ Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem

Reference 27

Resolution
verified exact
arxiv_id, observed 2026-07-01T20:46:13.182697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-28T18:08:38.117718Z digest=sha256:46398cf3859ce67be88e19c426a49be36fbd86e7dec6753f04e561a2eebf362c

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

A Toeplitz corona theorem for the pentablock and applications cites this paper.

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-28T17:52:54.420074Z digest=sha256:56647b8592ad9e7a5d0e684b8bd77b5f36409956561cebfe823e8ab914cae574

Observation 266aa5d1-b9db-46c1-a324-3fc83bed948f · 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 Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-05T00:24:15.547512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Function theoretic aspects of the symmetrized polydisc and generalization Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem

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