Paper Citation Record · LEDGER

Sharp spectral constants for scaled $q$-numerical ranges

As of 12 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2608.09866.

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

pith.paper-citation-record.v1
2608.09866 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:24:03.445640Z

measured 13 of 13 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 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

13 of 13 outbound references displayed

verified exact10
verified fuzzy0
unresolved2
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

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

This paper cites A solution to Crouzeix's conjecture.

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.

Observation 768941aa-6400-43ef-8dc6-fe7c0688e1fc · outbound

This paper cites Bickel, P.

Sharp spectral constants for scaled $q$-numerical ranges Bickel, P

Reference 2

Resolution: verified exact; doi, observed 2026-08-11T05:24:03.654145Z

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.

Observation fb9e0cba-cc6f-4b11-8349-ba80888aebb9 · outbound

This paper cites Crouzeix,Bounds for analytical functions of matrices, Integral Equations Operator Theory48(2004), no.

Sharp spectral constants for scaled $q$-numerical ranges Crouzeix,Bounds for analytical functions of matrices, Integral Equations Operator Theory48(2004), no

Reference 3

Resolution: verified exact; doi, observed 2026-08-11T05:24:03.643779Z

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.

Observation d1c768af-0f66-4144-9b46-f7ea61400bac · outbound

This paper cites Crouzeix,Numerical range and functional calculus in Hilbert space, J.

Sharp spectral constants for scaled $q$-numerical ranges Crouzeix,Numerical range and functional calculus in Hilbert space, J

Reference 4

Resolution: verified exact; doi, observed 2026-08-11T05:24:03.633809Z

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.

Observation 7ef099b4-fc5f-47ab-8d00-aa7d674d02bb · outbound

This paper cites Crouzeix and C.

Sharp spectral constants for scaled $q$-numerical ranges Crouzeix and C

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T05:24:03.415858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8ac052e-7844-4b5b-97d9-2197a0218b68 · outbound

This paper cites $q$-numerical radius of rank-one operators and the generalized Buzano inequality.

Sharp spectral constants for scaled $q$-numerical ranges $q$-numerical radius of rank-one operators and the generalized Buzano inequality

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-11T05:24:03.617076Z

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.

Observation 9bbd9865-8e54-4742-b571-bd9ce32edd8a · outbound

This paper cites Greub and W.

Sharp spectral constants for scaled $q$-numerical ranges Greub and W

Reference 7

Resolution: malformed identifier; doi_truncated, observed 2026-08-11T05:24:03.603053Z

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.

Observation c22df384-2716-405c-9f3b-919dfc7ebdf0 · outbound

This paper cites Jin,The numerical range is a2-spectral set, Preprints (2026), preprint 202607.1919, version 4.

Sharp spectral constants for scaled $q$-numerical ranges Jin,The numerical range is a2-spectral set, Preprints (2026), preprint 202607.1919, version 4

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T05:24:03.428387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5016f32-3666-4dba-b475-3fa51ca917a8 · outbound

This paper cites an unresolved cited work.

Sharp spectral constants for scaled $q$-numerical ranges Unresolved cited work

Reference 9

Resolution: verified exact; doi, observed 2026-08-11T05:24:03.591458Z

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.

Observation 2ed91c05-259a-414d-9a8c-456e91bd2e6d · outbound

This paper cites Marcus and P.

Sharp spectral constants for scaled $q$-numerical ranges Marcus and P

Reference 10

Resolution: verified exact; doi, observed 2026-08-11T05:24:03.579762Z

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.

Observation 9f99c122-c268-4f39-81be-dd7e78027438 · outbound

This paper cites O’Loughlin and J.

Sharp spectral constants for scaled $q$-numerical ranges O’Loughlin and J

Reference 11

Resolution: verified exact; doi, observed 2026-08-11T05:24:03.567448Z

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.

Observation 3338659d-13a3-423c-bb31-b8b3662367a4 · outbound

This paper cites Ransford and F.

Sharp spectral constants for scaled $q$-numerical ranges Ransford and F

Reference 12

Resolution: verified exact; doi, observed 2026-08-11T05:24:03.487385Z

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.

Observation 4fb51ca3-b29c-48cd-8f33-8aabe6324b0d · outbound

This paper cites Tsing,The constrained bilinear form and theC-numerical range, Linear Algebra Appl.56(1984), 195–206.

Sharp spectral constants for scaled $q$-numerical ranges Tsing,The constrained bilinear form and theC-numerical range, Linear Algebra Appl.56(1984), 195–206

Reference 13

Resolution: verified exact; doi, observed 2026-08-11T05:24:03.471643Z

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.

Pith citing papers

No inbound Pith citation observations are available.