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Paper Citation Record · LEDGER

General Numerical Radius for Products of Sectorial Matrices

As of 7 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2506.02042.

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

pith.paper-citation-record.v1
2506.02042 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:12:37.585308Z

measured 10 of 10 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 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

10 of 10 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d4a5122b-8611-465e-95f6-bed2302d5f01 · outbound

This paper cites Alakhrass, Numerical radius of products of special matrices , Journal of Mathematical Inequalities, 17, 997-1006, (2023).

General Numerical Radius for Products of Sectorial Matrices Alakhrass, Numerical radius of products of special matrices , Journal of Mathematical Inequalities, 17, 997-1006, (2023)

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:12:39.064802Z

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=2026-08-07T12:12:36.717620Z digest=sha256:58c0942b5f540fe5fb873cb09a76b874ac7e143ffaf906a34a004350a35536f1

Observation badf68fa-fd53-4baf-aa2d-d5da88eb04cf · outbound

This paper cites Alakhrass, On sectorial matrices and their inequalities, Linear Algebra and its Applications, 617, 179-189 (2021).

General Numerical Radius for Products of Sectorial Matrices Alakhrass, On sectorial matrices and their inequalities, Linear Algebra and its Applications, 617, 179-189 (2021)

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:12:38.900204Z

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=2026-08-07T12:12:36.754103Z digest=sha256:0a3b10bd3a90f88836d5ed54c06825090239260638c1ac0bba3fdbd488b49deb

Observation 30f7bed2-61ef-45d6-bfbc-b7f95e1ba1b0 · outbound

This paper cites Alakhrass, M.

General Numerical Radius for Products of Sectorial Matrices Alakhrass, M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:12:38.743979Z

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=2026-08-07T12:12:36.850027Z digest=sha256:da60f8eb519766d2b122b6e75dab82ef389cb5b66d5fd60a93be704c78947333

Observation 58566fc4-b679-4526-a64a-df5c373162ee · outbound

This paper cites Alakhrass, A note on sectorial matrices, Linear Multilinear Alge bra, Vol.

General Numerical Radius for Products of Sectorial Matrices Alakhrass, A note on sectorial matrices, Linear Multilinear Alge bra, Vol

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:12:38.594470Z

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=2026-08-07T12:12:36.983801Z digest=sha256:db313c97bda76313d0c297ad39d5323a8d594e666664bf802960c3fb98fcc0be

Observation 5eb78162-bfcc-4ed2-82a0-3c3f6c287f70 · outbound

This paper cites Abu-Omar and F.

General Numerical Radius for Products of Sectorial Matrices Abu-Omar and F

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:12:38.462300Z

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=2026-08-07T12:12:37.077468Z digest=sha256:e802cfb7fbd47c4f4ddd4a7b9690f1eb85d56ec46636f94f1535ac0205a808e8

Observation fcec1797-9ad6-4193-bc3a-875040c667be · outbound

This paper cites Arlinski, A.B.

General Numerical Radius for Products of Sectorial Matrices Arlinski, A.B

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:12:38.325308Z

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=2026-08-07T12:12:37.198534Z digest=sha256:63511b285e0ecef0ee99b75ab91ca63171f83c645ef14e241337afb15d0d9422

Observation 5afcfc2c-928b-479f-8a69-9b12bfd6a02a · outbound

This paper cites an unresolved cited work.

General Numerical Radius for Products of Sectorial Matrices Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:12:38.139289Z

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=2026-08-07T12:12:37.287666Z digest=sha256:fbbcee994ba2ec19071f8719a834050285f75422adb50d519a1b107bdc4b5fce

Observation 63dff3ae-5dc6-4ddd-8eb9-7b0f8af63e7a · outbound

This paper cites an unresolved cited work.

General Numerical Radius for Products of Sectorial Matrices Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:12:37.982001Z

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=2026-08-07T12:12:37.376543Z digest=sha256:df1520a24f78008a891e8beccf8971387aae6319fa079505ed541fd3a0850eaf

Observation 28a3ea31-0653-43a7-b109-ef0720d17906 · outbound

This paper cites Gau, P.Y.

General Numerical Radius for Products of Sectorial Matrices Gau, P.Y

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:12:37.845359Z

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=2026-08-07T12:12:37.468585Z digest=sha256:6211d67726687eccc6fa8dedfe07c4e7f3f7d4466c9cf07aa3bdc4d2de19c1ac

Observation ef201f62-b41b-48f4-a599-3e09cbcabaf2 · outbound

This paper cites Yamazaki, On upper and lower bounds of the numerical radius and an equality condition, Studia Math.

General Numerical Radius for Products of Sectorial Matrices Yamazaki, On upper and lower bounds of the numerical radius and an equality condition, Studia Math

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:12:37.725575Z

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=2026-08-07T12:12:37.585308Z digest=sha256:e9ca78760e02a4a5c6dcbdc263ed772dd9b3e20ebbc80f8fdf90d4988089063e

Pith citing papers

No inbound Pith citation observations are available.