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Paper Citation Record · LEDGER

General Numerical Radius for Products of Sectorial Matrices

As of 19 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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:12:36.717620Z digest=sha256:f712853cd687c5d6ce4585a221b9e4c02756cd1bd9282ba0e05cdd12bc16352e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:12:36.754103Z digest=sha256:ad20c38b8af83a20bb9b8e4cf6eaabc9f7c9e150ddf90b8ee1515ea32795860c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:12:36.850027Z digest=sha256:d3d1493373009fe1e6392a680df54fdf16ac88d38dcac7f38f9c32dc56c6393c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:12:36.983801Z digest=sha256:2b645158a33e883fe649e2e5d17c4f27167e16f34cd73b557f3351ee0473c1df

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:12:37.077468Z digest=sha256:9f206596bc7d3b0ac4f54eda9208de1f112c7c65ca135f402d40a116f57f789d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:12:37.198534Z digest=sha256:fb1dff9d5b2efc12fadc35ee0675bc8055ea98c6c4ba940458a4412c629a1ea3

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:12:37.287666Z digest=sha256:8624f478d8255399222a5fa28b11cdda981586f8512c348a5a95de226a5bcca2

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:12:37.376543Z digest=sha256:aa130cef30f10c8022d9bcdae36e2add5b7bd94c90980e288b7583dc338311f2

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:12:37.468585Z digest=sha256:40754f76f98de6fa775b6c7138caf5cdbde78d2472e4e791654971e8d869724c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:12:37.585308Z digest=sha256:9abcec4ae5c2718448c9549a89523aca2ba1778ebab2f9512a98c3be1aca654c

Pith citing papers

No inbound Pith citation observations are available.