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Paper Citation Record · LEDGER

Multiplier Between Generalized Toeplitz Kernels

As of 21 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:15.901485Z digest=sha256:158da0d1112e7ba2def97b9cc00f7b1b869a7988191fddf8ab2f88e1e4cb02d4

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:15.987299Z digest=sha256:eb84d13af24c92e7c5fc84cdde981cf5479ddea64c3aa04141493579aca0d06c

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:16.110476Z digest=sha256:3685f6af8ba4bf80466ad03871fe296f98a68892aa95300065c1b64d98d9daaf

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:16.191111Z digest=sha256:592c8f422b2c9e4b1d78d7827d928d4b9b545fcf1104c092c30cc03cdc86e83b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:16.305724Z digest=sha256:e0f1f46a719c51b22d47a7889ed284d461a0100cd2005b2ae3c65d42bd73197a

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:16.395556Z digest=sha256:0786b141b21f8c3548d5616f826d60130d23c665fb8c31e126420a3ad2c862d7

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:16.478344Z digest=sha256:4dd2149d658af8d13ff907faffa54f57d6cddb1bec5cb6f9c3e53c03807f82e4

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:16.560258Z digest=sha256:332251f6abfa112526b68e9a90fce4f95f4b60d259b3b1c40b0e708d955ccda6

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:16.653840Z digest=sha256:7de685dc55d685795bcf65bd9c738aeed28308c54238a1350081218cca7536d6

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:16.744316Z digest=sha256:52c369565081b1bf35a26290d9e06d14d62b4e61c1bb96f90ac1c7a9ad6c6ec8

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:16.841674Z digest=sha256:bc92cfa88201e1db0475707380cdd892303b34e720f4bed79ecfcfd6fae3d966

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:16.938361Z digest=sha256:9102deafd1949f07bf9e9386bdb60632035586ac79c2425661bfd37046831d48

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:17.038348Z digest=sha256:177d7b129e5a4a7c1eb58f76b0348500c43c72f7540d491736943a550933d5e4

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:17.119456Z digest=sha256:aae0049953bc2eb340c563187511e2aff966036f77f18d8788389124c05f0aab

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:17.191702Z digest=sha256:1a503e9b3a9d16643fa0710de75725087501042f7e0fb6144989a0f870198365

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:17.293809Z digest=sha256:47ca34b49af99099b4b338268c0baf231cf74f3595a011d94b4fffbee0647506

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:17.383955Z digest=sha256:b3c6f2394f020589536f018410e69e14d098bb7994d934d0f5da46da4fc56f44

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:17.508698Z digest=sha256:8eecb8d88f4125fa775e7dc61b9ddc6252aebbe740b5c029481b23527a789720

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:17.633037Z digest=sha256:e77d4ba44fdcc0a8ad03189174f1a581ba1eb4438204ad54de71ee68a34ddc70

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:21:17.760094Z digest=sha256:0e83ef221242a829eb4de3ec0582a1c55cf49b61c9bd699d10235d933bdb46cf

Pith citing papers

No inbound Pith citation observations are available.