Paper Citation Record · LEDGER

Simple polynomial equations over (mxm)-matrices

As of 8 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2507.07085.

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

pith.paper-citation-record.v1
2507.07085 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:55:58.914369Z

measured 8 of 8 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

8 of 8 outbound references displayed

verified exact1
verified fuzzy4
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4baa740a-1996-4198-8541-f8caab62dc98 · outbound

This paper cites Simple polynomial equations over $(2 \times 2)$-matrices.

Simple polynomial equations over (mxm)-matrices Simple polynomial equations over $(2 \times 2)$-matrices

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:55:58.947531Z

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.

Observation 2bfa5955-fb44-4d23-8f6a-3eeaf22ce4ab · outbound

This paper cites Engelking, General Topology, Heldermann Verlag, Berlin, 1989.

Simple polynomial equations over (mxm)-matrices Engelking, General Topology, Heldermann Verlag, Berlin, 1989

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T18:55:58.892817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82389b10-fd7a-4b0c-8c60-57697c7dca70 · outbound

This paper cites Fuchs, A.

Simple polynomial equations over (mxm)-matrices Fuchs, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:55:59.009672Z

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.

Observation d79f0459-f38f-4ae2-8341-a69af72a6818 · outbound

This paper cites Gelfand, On the number of solutions of a quadratic equation, In: Globus: General Mathematical Seminar, 1, Independent University of Moscow, Moscow, 2004, 124-133 (in Russian).

Simple polynomial equations over (mxm)-matrices Gelfand, On the number of solutions of a quadratic equation, In: Globus: General Mathematical Seminar, 1, Independent University of Moscow, Moscow, 2004, 124-133 (in Russian)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:55:58.999600Z

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.

Observation 4a88fc64-8afd-499b-8a2e-c20bc37dbe6d · outbound

This paper cites an unresolved cited work.

Simple polynomial equations over (mxm)-matrices Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:55:58.990136Z

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.

Observation babd3627-6c0d-4ffa-829f-56c8e88fef4f · outbound

This paper cites Lutkepohl, Handbook of Matrices, John Wiley & Sons, 1996.

Simple polynomial equations over (mxm)-matrices Lutkepohl, Handbook of Matrices, John Wiley & Sons, 1996

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:55:58.980057Z

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.

Observation 78d24b8d-5d64-4506-90f8-80ca50d012aa · outbound

This paper cites Slusky, Zeros of (2 2) -matrix polynomials, Comm.

Simple polynomial equations over (mxm)-matrices Slusky, Zeros of (2 2) -matrix polynomials, Comm

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:55:58.969678Z

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.

Observation 532954e3-a9f7-4fa0-ad81-da2eefd83e98 · outbound

This paper cites an unresolved cited work.

Simple polynomial equations over (mxm)-matrices Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:55:58.958776Z

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.

Pith citing papers

No inbound Pith citation observations are available.