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Paper Citation Record · LEDGER

Multiplier Between Generalized Toeplitz Kernels

As of 23 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2507.03452.

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

pith.paper-citation-record.v1
2507.03452 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:21:17.760094Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy18
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a564cb2d-5e16-4112-8b69-fcf32517d215 · outbound

This paper cites Bhardwaj, The space of multipliers between model spaces complete or incomplete, J.

Multiplier Between Generalized Toeplitz Kernels Bhardwaj, The space of multipliers between model spaces complete or incomplete, J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:21.545507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:15.901485Z digest=sha256:06ee98bbd670c79343eaae36b13a6bbb169154ecf0058ebc84ab63babdd4ea80

Observation c68e0980-e9d5-4078-a4a1-c90cc8c25bbb · outbound

This paper cites Cˆ amara, and J.R.

Multiplier Between Generalized Toeplitz Kernels Cˆ amara, and J.R

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:21.432772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:15.987299Z digest=sha256:d514dcce35c97bae86a8e7feaf5b9ef36caadc8e9bf43960e4c2ee81bc2a4721

Observation b9dddbe1-71b7-4afd-b3f4-48735265cd07 · outbound

This paper cites Cˆ amara, J.R.

Multiplier Between Generalized Toeplitz Kernels Cˆ amara, J.R

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:21.280582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:16.110476Z digest=sha256:598f19a39f58c21d5f0ec4a63a9038fd636462ae7bcaafd65fd1c41825b983a9

Observation 1f8af98d-fdd9-4777-8b36-e03e617b2239 · outbound

This paper cites Cohn, A maximum principle for star invariant subspaces, Houst.

Multiplier Between Generalized Toeplitz Kernels Cohn, A maximum principle for star invariant subspaces, Houst

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:21.034865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:16.191111Z digest=sha256:a7c0985219e62fe21e185a7d335694e5222d7a153828b554e2e9f4f53e1f0cb4

Observation 417048f3-af1c-4e3f-b53e-5b2d7fca0847 · outbound

This paper cites Crofoot, Multipliers between invariant subspaces of the backward shift, Pacific J.Math.

Multiplier Between Generalized Toeplitz Kernels Crofoot, Multipliers between invariant subspaces of the backward shift, Pacific J.Math

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:20.785543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:16.305724Z digest=sha256:0daba3424a0a7ff9d6f1908ff73e2a7ea6d7e91d82d4fb89b8c456694c4f0cc9

Observation 6a7bdb48-6ce0-41df-acb5-11e7ba391f57 · outbound

This paper cites an unresolved cited work.

Multiplier Between Generalized Toeplitz Kernels Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:21:20.521762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:16.395556Z digest=sha256:7ecbe63bcfd6e416e2e6be7a133286987321a028092e7c9866086b33c20c6ce9

Observation b078a5fd-9d2f-4dbd-bc59-644839b65be1 · outbound

This paper cites Devinatz and M.

Multiplier Between Generalized Toeplitz Kernels Devinatz and M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:20.337606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:16.478344Z digest=sha256:cadde754a1a919f64d92de6b00c469a885a7490a839a2eb6e162cc4820dfeda7

Observation 29319c4d-dae7-4eca-b473-61009aed0d18 · outbound

This paper cites Fricain, A.

Multiplier Between Generalized Toeplitz Kernels Fricain, A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:20.100374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:16.560258Z digest=sha256:98e9e944a09dd8543760bf6d524f6ad7052704543c21d5f61c3e8cda790712e3

Observation 64848ab5-53b2-4a51-8098-a012e4294b0d · outbound

This paper cites Fricain, and R.

Multiplier Between Generalized Toeplitz Kernels Fricain, and R

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:19.887791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:16.653840Z digest=sha256:8d4e5850a09d2e2feff0b25a7c669ef85d3a634642bb5b570499fe0eb91455f4

Observation be193a34-46ce-424c-897f-7a8bf7973cb3 · outbound

This paper cites Garcia, J.

Multiplier Between Generalized Toeplitz Kernels Garcia, J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:19.675441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:16.744316Z digest=sha256:45c3e6581078c67d8b1c02eccb9b9e493a794529b278652969b8b7e3526d31af

Observation ff40a116-cd7b-4bc7-9559-d581ca2d9134 · outbound

This paper cites Hayashi, The kernel of a Toeplitz operator, Integral Equ.

Multiplier Between Generalized Toeplitz Kernels Hayashi, The kernel of a Toeplitz operator, Integral Equ

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:19.388325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:16.841674Z digest=sha256:a00518d9904afdf04c9b398b3f8c78482c57b7f6735215b9c0c5c9d1c390cfb2

Observation 0aab633a-624a-4c28-a1ee-fea722e74fce · outbound

This paper cites Mashreghi, Representation theorems in Hardy spaces.

Multiplier Between Generalized Toeplitz Kernels Mashreghi, Representation theorems in Hardy spaces

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:19.239919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:16.938361Z digest=sha256:2a55c25dd4f42cb7a0c9cfc9109d6b6c9bbad1fb5df636450f7f461bec6d1adf

Observation 4d73b64c-6327-4502-bb1a-1e592b7d744d · outbound

This paper cites Makarov, and A.

Multiplier Between Generalized Toeplitz Kernels Makarov, and A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:19.117345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:17.038348Z digest=sha256:96b127a2f2dbe482a3d3734cdefe5a3690602f53082f7f6a5790811884bd7a6f

Observation 3901be14-d9ec-4168-b4ca-0e5a419b2865 · outbound

This paper cites Makarov, and A.

Multiplier Between Generalized Toeplitz Kernels Makarov, and A

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:18.919720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:17.119456Z digest=sha256:7b71c74d40ed5f3bd1a581a1e47ee6fdca8dd1588022956cbcd18f0926ca708f

Observation f36b0aae-e0b2-4bcc-95e5-02c3e80bcbd7 · outbound

This paper cites Mitkovski, Spaces of Analytic Functions and Their Applications.

Multiplier Between Generalized Toeplitz Kernels Mitkovski, Spaces of Analytic Functions and Their Applications

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:18.766700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:17.191702Z digest=sha256:2cf2ef9c715278a4359a412fa832689e6408040deaf5ecfd5ee0d7d45170bdc6

Observation fb2e20e9-c0f0-4a0c-92a2-af6b270570f4 · outbound

This paper cites Mitkovski, and A.

Multiplier Between Generalized Toeplitz Kernels Mitkovski, and A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:18.607391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:17.293809Z digest=sha256:9752331581a5c8490a4e25aa417017180fcf83195bf317d814e5bbe6857ace82

Observation 77fdc115-5f39-454f-8702-2ffe19d61ca4 · outbound

This paper cites Natalia, and A.

Multiplier Between Generalized Toeplitz Kernels Natalia, and A

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:18.450775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:17.383955Z digest=sha256:99e6badca9fd043613e913a4cb6393e187e57698f08e2252698e0c9f779de960

Observation b7a3cec2-0f88-49f8-aa17-1ee3b4b05c80 · outbound

This paper cites Nikolskii, Operators, functions, and systems: an easy reading, Vol.

Multiplier Between Generalized Toeplitz Kernels Nikolskii, Operators, functions, and systems: an easy reading, Vol

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:18.273393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:17.508698Z digest=sha256:8d78a668f47058e8edd8134471eff4ddc190ca058f2ef552d82fc2922a10c8e2

Observation 72c992a1-4f7d-4794-a26e-00bfa26f1a12 · outbound

This paper cites an unresolved cited work.

Multiplier Between Generalized Toeplitz Kernels Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:21:18.080741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:17.633037Z digest=sha256:49d3fd829ae33fc300bba227f3a3f2ba58c07da6b9491b30c049c1a8226c7f2c

Observation 30dbd913-a515-4780-a23c-ed11c872aca2 · outbound

This paper cites Speck General Wiener-Hopf factorization methods, Res.

Multiplier Between Generalized Toeplitz Kernels Speck General Wiener-Hopf factorization methods, Res

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:17.936396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:21:17.760094Z digest=sha256:5f73f85700be754d0f843128e15e2c50e547a98d72a7033bb76d6139bbe82c23

Pith citing papers

No inbound Pith citation observations are available.