Paper Citation Record · LEDGER

The Brown Measure of Non-Hermitian Sums of Projections

As of 13 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 2 inbound Pith citation observations for arXiv:2411.13804.

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

pith.paper-citation-record.v1
2411.13804 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:27:16.679705Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:37:58.608063Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T12:36:10.465778Z

Reference resolution

14 of 14 outbound references displayed

verified exact0
verified fuzzy3
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 64744d0a-477a-4f74-a1f8-ca726bb6b052 · outbound

This paper cites Anderson, Alice Guionnet, and Ofer Zeitouni.An introduction to random matrices.

The Brown Measure of Non-Hermitian Sums of Projections Anderson, Alice Guionnet, and Ofer Zeitouni.An introduction to random matrices

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:27:16.881738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f6dfda3f-b71a-418e-a70d-7f9ad9bf2bb8 · outbound

This paper cites Eigenvalues of non- Hermitian random matrices and Brown measure of non-normal operators: Hermitian reduction and linearization method.

The Brown Measure of Non-Hermitian Sums of Projections Eigenvalues of non- Hermitian random matrices and Brown measure of non-normal operators: Hermitian reduction and linearization method

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-12T16:27:16.611123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d537ba7-4ded-47b9-9ea3-349658f16e11 · outbound

This paper cites Lidskii’s theorem in the typeII case.

The Brown Measure of Non-Hermitian Sums of Projections Lidskii’s theorem in the typeII case

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T16:27:16.616652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4c2cacd-a6a6-4508-97f4-9cefebc9c3c7 · outbound

This paper cites Determinant theory in finite factors.

The Brown Measure of Non-Hermitian Sums of Projections Determinant theory in finite factors

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T16:27:16.621966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d73d00fb-d7af-4a86-8fc7-524697ab2081 · outbound

This paper cites The single ring theorem.

The Brown Measure of Non-Hermitian Sums of Projections The single ring theorem

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-12T16:27:16.627379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c35d753e-0010-4472-ace4-24f2687b2c67 · outbound

This paper cites Brown’s spectral distribution measure for R-diagonal elements in finite von Neumann algebras.

The Brown Measure of Non-Hermitian Sums of Projections Brown’s spectral distribution measure for R-diagonal elements in finite von Neumann algebras

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:27:16.819777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0ab27a80-ac02-4a28-8274-6a79986749b1 · outbound

This paper cites Brown measures of unbounded operators affiliated with a finite von Neumann algebra.

The Brown Measure of Non-Hermitian Sums of Projections Brown measures of unbounded operators affiliated with a finite von Neumann algebra

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T16:27:16.641746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33b01c14-17c2-4470-ab2f-9a15b068d82f · outbound

This paper cites The Brown measure of the sum of a self-adjoint element and an elliptic element.

The Brown Measure of Non-Hermitian Sums of Projections The Brown measure of the sum of a self-adjoint element and an elliptic element

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T16:27:16.647474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a530f019-8bf5-42fc-ae6c-d4e78e429fc1 · outbound

This paper cites Brown measures of free circular and multi- plicative Brownian motions with self-adjoint and unitary initial conditions.

The Brown Measure of Non-Hermitian Sums of Projections Brown measures of free circular and multi- plicative Brownian motions with self-adjoint and unitary initial conditions

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T16:27:16.652583Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb6290a2-bb74-493e-b4a0-2d90d9e1f90f · outbound

This paper cites Mingo and Roland Speicher.Free probability and random matrices.

The Brown Measure of Non-Hermitian Sums of Projections Mingo and Roland Speicher.Free probability and random matrices

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T16:27:16.657922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10fa4836-7c02-4dac-9606-357d9e3538e9 · outbound

This paper cites Random Regularization of Brown Spectral Measure.

The Brown Measure of Non-Hermitian Sums of Projections Random Regularization of Brown Spectral Measure

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-12T16:27:16.662996Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2a94355-2bd9-4b7a-b6ed-7db0e3b77960 · outbound

This paper cites Graduate Studies in Mathe- matics.

The Brown Measure of Non-Hermitian Sums of Projections Graduate Studies in Mathe- matics

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T16:27:16.668687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a32ec349-50b3-4563-8aaa-bcc7ad0c4737 · outbound

This paper cites Random matrices: universality of ESDs and the circular law.

The Brown Measure of Non-Hermitian Sums of Projections Random matrices: universality of ESDs and the circular law

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T16:27:16.674511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b475403-ea4f-4c05-9ff1-7f4d9747794a · outbound

This paper cites The analogues of entropy and of Fisher’s information measure in free probability theory. VI. Liberation and mutual free information.

The Brown Measure of Non-Hermitian Sums of Projections The analogues of entropy and of Fisher’s information measure in free probability theory. VI. Liberation and mutual free information

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:27:16.721956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation deb314de-01f9-45ba-b9be-9ae85c9a354f · inbound

Convergence of the Laws of Non-Hermitian Sums of Projections cites this paper.

Convergence of the Laws of Non-Hermitian Sums of Projections The Brown Measure of Non-Hermitian Sums of Projections

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-12T12:37:58.608063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba78a9e6-d022-4ae2-a757-8de934f10553 · inbound

Quaternionic Green's Function and the Brown Measure of Atomic Operators cites this paper.

Quaternionic Green's Function and the Brown Measure of Atomic Operators The Brown Measure of Non-Hermitian Sums of Projections

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-12T12:36:10.471958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.