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Paper Citation Record · LEDGER

A solution to Crouzeix's conjecture

As of 12 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2608.03841.

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

pith.paper-citation-record.v1
2608.03841 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:31:28.781888Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:24:03.400218Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T06:16:19.390415Z

Reference resolution

20 of 20 outbound references displayed

  • verified exact2
  • verified fuzzy16
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 30d76902-6037-4e35-b51d-28f8fbcabc5a · outbound

This paper cites Bickel and P.

A solution to Crouzeix's conjecture Bickel and P

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:31:29.268451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.680516Z digest=sha256:a06ab2c90e60c677bbb20b98e616e2a80fb2bf014473b0007a1cf07a11d5aa29

Observation 8a15c9a7-f0ef-41b5-bb2f-0d72ec5aa66f · outbound

This paper cites Bickel, P.

A solution to Crouzeix's conjecture Bickel, P

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:31:29.250405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.686130Z digest=sha256:37ad3f93b20972f16314ede106dfc46eee64144e1d094c405d36d363fbcd80be

Observation fe9e38c1-f8e5-4144-9ce7-b12cbac8795a · outbound

This paper cites Caldwell, A.

A solution to Crouzeix's conjecture Caldwell, A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:31:29.234741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.691455Z digest=sha256:0a1bad8feaa7f4056b11440243554fc9f11c6e1e724e224ea7b71be90e1856ef

Observation a35310ed-7cbe-4932-8602-c2ff3945a1d6 · outbound

This paper cites Clouˆ atre, M.

A solution to Crouzeix's conjecture Clouˆ atre, M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:31:29.219393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.697433Z digest=sha256:2f738c72fc066b4c7b216a9631e3776bb89ceed6d6dc84c521d9023df5cd28c2

Observation 660f8840-6a62-4ebc-94ac-3c24b1d32521 · outbound

This paper cites Crouzeix.

A solution to Crouzeix's conjecture Crouzeix

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:31:29.203565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.702930Z digest=sha256:95b2453721bac080a8419a8ffe21e4c56b479fedbbcc67ec8a84bbb18af67083

Observation 1724de38-bedd-45e9-9d54-d8876b810246 · outbound

This paper cites Crouzeix.

A solution to Crouzeix's conjecture Crouzeix

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:31:29.187788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.710093Z digest=sha256:21e925d798d14f1abe0e0b037f3cea9cae56caa1cf15c1969373eb7fe2763ffe

Observation a34e80e2-e342-4762-a05c-335926f229ee · outbound

This paper cites Crouzeix, A.

A solution to Crouzeix's conjecture Crouzeix, A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:31:29.172093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.716279Z digest=sha256:0c9d96961777b92576a62066367055ee86a6ef25b90c7eeac8f805a6e9154781

Observation e659848f-66cc-47aa-8e69-e912c8d314ad · outbound

This paper cites Crouzeix and C.

A solution to Crouzeix's conjecture Crouzeix and C

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:31:29.155864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.722538Z digest=sha256:87cdac52cbc37c3c2afdbf05afbf00a85cdd30b409ae18f85d92fe882b4dfa92

Observation 2d7773f0-1fe0-4fd4-86fa-3bfa7d362369 · outbound

This paper cites Delyon and F.

A solution to Crouzeix's conjecture Delyon and F

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:31:29.139091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.728560Z digest=sha256:509da325159a79d716758331042edaed449313422f020bad7caf06ebb52e6a2c

Observation d966b1ec-7444-4756-90c4-313df229eadd · outbound

This paper cites Glader, M.

A solution to Crouzeix's conjecture Glader, M

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:31:29.122160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.734017Z digest=sha256:7c8ec5f295166cd2fbdad15b922508febffead23cfcd06de15612c00f9f15d26

Observation 1ad5fcda-be96-44bc-b348-76b601d61531 · outbound

This paper cites From Clouatre-Ostermann-Ransford to Okubo-Ando.

A solution to Crouzeix's conjecture From Clouatre-Ostermann-Ransford to Okubo-Ando

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-05T11:31:28.971705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.738745Z digest=sha256:5345872bbed873c94d187a0067f6e913ad33af7c73785d50df874806b8963ffe

Observation 004063ec-8c2d-47eb-a2b9-d7fe8e7a7a84 · outbound

This paper cites an unresolved cited work.

A solution to Crouzeix's conjecture Unresolved cited work

Reference 12

Resolution
verified exact
raw_fallback, observed 2026-08-05T11:31:28.945585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.743737Z digest=sha256:1c653e4362eba3e535fe5978dd929ec235f162212e8c9e3749366c9f35baad3f

Observation 05ac3f1b-bbdc-466d-944a-2d91017f36b0 · outbound

This paper cites Malman, J.

A solution to Crouzeix's conjecture Malman, J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:31:29.105889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.748536Z digest=sha256:60cedbbe040a70a3b481feccbf82742308afa61ad1d14363ae549266ee9b1c84

Observation ce6fc950-7bf1-4647-8a3d-1f042876c320 · outbound

This paper cites Mashreghi, A.

A solution to Crouzeix's conjecture Mashreghi, A

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:31:29.088845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.753538Z digest=sha256:469c4a0cdc2c29c3cc311958442631411b12e997cee86d173123ff22675268d7

Observation e4a5147d-c6ee-4fb5-a27e-814304a09915 · outbound

This paper cites Okubo and T.

A solution to Crouzeix's conjecture Okubo and T

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:31:29.073342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.758255Z digest=sha256:827cfeea7023aaf9097b1fa09a9e94a0384e879010cb49ab2535a29ae1158c4e

Observation 683bedc7-7480-4c82-a176-6f5a0f819d30 · outbound

This paper cites O’Loughlin and J.

A solution to Crouzeix's conjecture O’Loughlin and J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:31:29.057993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.762853Z digest=sha256:bc1740034573392e086972f10c22f00ba9ca31b010fe5bb936c1db8f193c31f0

Observation 2362e61f-f071-4f53-9f3e-cc51de43df3f · outbound

This paper cites Paulsen.Completely bounded maps and operator algebras, volume 78 ofCambridge Studies in Advanced Mathematics.

A solution to Crouzeix's conjecture Paulsen.Completely bounded maps and operator algebras, volume 78 ofCambridge Studies in Advanced Mathematics

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:31:29.040715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.767426Z digest=sha256:e2e639df441af1a63bc86c519dfc8634abca5c9a7613e1e4b684b18f7c382572

Observation bd43be2a-1070-4a65-9210-c0186e521acc · outbound

This paper cites Ransford and F.

A solution to Crouzeix's conjecture Ransford and F

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:31:29.022335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.772421Z digest=sha256:e74ec62aae3322868fc03f4173e7bb1e90e6d57f893bac916f28f6f8ee0d49b5

Observation 7086743e-8765-4858-82a5-22db3406f082 · outbound

This paper cites an unresolved cited work.

A solution to Crouzeix's conjecture Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:31:29.006648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.777155Z digest=sha256:18640fe96ed4cfe341e3020e43006c831097fc821dc780ebcc3e196720ff646d

Observation 44b3b38c-03df-4732-8e6a-e76d5fe2d0d1 · outbound

This paper cites an unresolved cited work.

A solution to Crouzeix's conjecture Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:31:28.988872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:31:28.781888Z digest=sha256:97c1f7b1b5f00b6a780dec29cfb7f705d565587da36b44c6e46aef18621e7481

Pith citing papers

Observation d046ca7d-2524-45c2-b3f5-03027184255a · inbound

Sharp spectral constants for scaled $q$-numerical ranges cites this paper.

Sharp spectral constants for scaled $q$-numerical ranges A solution to Crouzeix's conjecture

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-11T05:24:03.667622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T05:24:03.400218Z digest=sha256:865b2ae101498dd4a507e4a20c0de697ba2b7e6879725db813f52326a9731e90