Paper Citation Record · LEDGER

On gcd-graphs over matrix rings

As of 22 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2606.00836.

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

pith.paper-citation-record.v1
2606.00836 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T18:07:12.581097Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

14 of 14 outbound references displayed

verified exact1
verified fuzzy0
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dd7c1f93-9328-48d3-83a6-7d5b3bd5cae1 · outbound

This paper cites an unresolved cited work.

On gcd-graphs over matrix rings Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-28T18:07:12.581097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7555905c-e1fa-4528-b845-e51593dbb6fb · outbound

This paper cites an unresolved cited work.

On gcd-graphs over matrix rings Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-28T18:07:12.581097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4aafb59-9d9e-4fc9-81a4-bd038502ef03 · outbound

This paper cites 1, 112671.

On gcd-graphs over matrix rings 1, 112671

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-28T18:07:12.581097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa8e3bbb-ef0e-452c-9252-45d9cb34bec7 · outbound

This paper cites an unresolved cited work.

On gcd-graphs over matrix rings Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-28T18:07:12.581097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a0437f5a-0396-4f65-9435-501004d7770c · outbound

This paper cites an unresolved cited work.

On gcd-graphs over matrix rings Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-28T18:07:12.581097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f06270be-f7c7-4cd8-bf09-b0e8379c8125 · outbound

This paper cites an unresolved cited work.

On gcd-graphs over matrix rings Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-28T18:07:12.581097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eed5d891-ab3f-4136-a433-82a35663b7b1 · outbound

This paper cites 1, 49–54.

On gcd-graphs over matrix rings 1, 49–54

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-28T18:07:12.581097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2cc059a9-efb3-433f-b6e9-12b8b633f42c · outbound

This paper cites 4, 43–54.

On gcd-graphs over matrix rings 4, 43–54

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-28T18:07:12.581097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b2753a4-b8d6-4a3c-9b4b-f417528b06f0 · outbound

This paper cites Morrison, and Mitchell Ogle,How much does a matrix of rank k weigh?, Mathematics Magazine79(2006), no.

On gcd-graphs over matrix rings Morrison, and Mitchell Ogle,How much does a matrix of rank k weigh?, Mathematics Magazine79(2006), no

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-28T18:07:12.581097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cdfde855-fc6b-4db8-85c9-a1f261367324 · outbound

This paper cites Nguyen, and Nguyen Duy Tan,On the gcd graphs over polynomial rings, Canadian Journal of Mathematics (2025), 1–28.

On gcd-graphs over matrix rings Nguyen, and Nguyen Duy Tan,On the gcd graphs over polynomial rings, Canadian Journal of Mathematics (2025), 1–28

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-28T18:07:12.581097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93450112-6375-407a-8409-d6a5f0599c5f · outbound

This paper cites Nguyen,Gcd-graphs over matrix rings,https://github.com/ nguyend77/gcd-graphs-matrix-rings, 2026.

On gcd-graphs over matrix rings Nguyen,Gcd-graphs over matrix rings,https://github.com/ nguyend77/gcd-graphs-matrix-rings, 2026

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-28T18:07:12.581097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62302426-0cb0-4f0e-baee-5a10703e36df · outbound

This paper cites Nguyen and Nguyen Duy Tˆan,On gcd-graphs over finite commutative rings, Journal of Alge- bra and Its Applications.

On gcd-graphs over matrix rings Nguyen and Nguyen Duy Tˆan,On gcd-graphs over finite commutative rings, Journal of Alge- bra and Its Applications

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-28T18:07:12.581097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30104439-ca3b-4865-9785-c774b3e2caad · outbound

This paper cites an unresolved cited work.

On gcd-graphs over matrix rings Unresolved cited work

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-01T20:46:13.247515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ffce4d71-9e85-4ba4-9d23-1c78f28efac1 · outbound

This paper cites 1, 39–50.

On gcd-graphs over matrix rings 1, 39–50

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-28T18:07:12.581097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.