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Paper Citation Record · LEDGER

Commuting Graph of Unitriangular Group UT(4; p)

As of 20 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2608.09235.

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

pith.paper-citation-record.v1
2608.09235 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:13:01.752309Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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 exact1
  • verified fuzzy6
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8f718527-5ba4-4d97-93b6-c7cb531cb276 · outbound

This paper cites Iranmanesh, A.

Commuting Graph of Unitriangular Group UT(4; p) Iranmanesh, A

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:13:01.952655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T21:13:01.698930Z digest=sha256:a8cd22b378ca5bc8b69e8ff16fd0fa5ff344e35eae6b1aef1b46a81ce9cab2bd

Observation ba93207b-360a-4f22-9f81-a61b3134338b · outbound

This paper cites Giudici, A.

Commuting Graph of Unitriangular Group UT(4; p) Giudici, A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:13:01.938602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T21:13:01.704437Z digest=sha256:a4aca63018c0d5f84b1497544e28d398f1eb5f8597cb014fd1036323049334fd

Observation 8ba4c2a2-d718-4fea-b859-4a4ce4fafbe0 · outbound

This paper cites an unresolved cited work.

Commuting Graph of Unitriangular Group UT(4; p) Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:13:01.924838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T21:13:01.708587Z digest=sha256:2ce5de9d5a1e3509c95a41881de98e1913e3ad583c333d2feb621cc704f4e7c1

Observation 5db02aa3-78f5-4940-a827-a1dd1ff75d0e · outbound

This paper cites an unresolved cited work.

Commuting Graph of Unitriangular Group UT(4; p) Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:13:01.910795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T21:13:01.712901Z digest=sha256:b0756618d91a87dae66d730b973353f3c195b74181b34fa7fd1d3e98ea9387a4

Observation 5660abed-2ed2-4d40-a857-564b7dcc75b8 · outbound

This paper cites Aspects of the commuting graph.

Commuting Graph of Unitriangular Group UT(4; p) Aspects of the commuting graph

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T21:13:01.717369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:13:01.717369Z digest=sha256:2140d34fe939f8079d73b21802414985799d17f234d72f2e5f6c6b448839eea4

Observation aebee327-a32c-4c65-a037-fcd74bf0f468 · outbound

This paper cites Akbari, H.

Commuting Graph of Unitriangular Group UT(4; p) Akbari, H

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:13:01.897593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T21:13:01.722370Z digest=sha256:9c599cc2bf63fb829e1f24b55f054ee2892dabd2f4ddb6a8430f8dd78f64fc93

Observation b0924a10-f922-434e-b690-5e0480483723 · outbound

This paper cites Abdollahi, Commuting graphs of full matrix rings over finite fields, Linear Algebra and its Applications 428 (2008) 2947–2954.

Commuting Graph of Unitriangular Group UT(4; p) Abdollahi, Commuting graphs of full matrix rings over finite fields, Linear Algebra and its Applications 428 (2008) 2947–2954

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:13:01.885338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T21:13:01.726782Z digest=sha256:754908027bec7b83be7d01f98824e93e73596f1aaea6929a6ec7679e4248cb7e

Observation e67ee6e1-8e59-4f8f-8347-da76a050b47d · outbound

This paper cites Abdollahi, S.

Commuting Graph of Unitriangular Group UT(4; p) Abdollahi, S

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:13:01.871214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T21:13:01.730802Z digest=sha256:32c12503c406a6b280f126fb53d9170eb21c398bf18afa138be00c387cd4a405

Observation d99eeef5-f927-4259-b6de-dfba87452f77 · outbound

This paper cites an unresolved cited work.

Commuting Graph of Unitriangular Group UT(4; p) Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:13:01.857468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T21:13:01.735053Z digest=sha256:892139bdadb90374665b9fc51f94e45e27f9c823cedcb033d3e40b9e9a6026a6

Observation 4c62c89c-d5b3-458d-beb7-0b55144caacf · outbound

This paper cites Abelian coverings of finite general linear groups and an application to their non-commuting graph.

Commuting Graph of Unitriangular Group UT(4; p) Abelian coverings of finite general linear groups and an application to their non-commuting graph

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-11T21:13:01.791764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T21:13:01.739677Z digest=sha256:f71ab7e1d082239201f0c4cdd4d32e124e9a7a0c7018cfe82c7ba4cba539a072

Observation 2ef54c69-b548-4719-9640-96344fe98786 · outbound

This paper cites Mahalanobis, The automorphism group of the group of unitriangular matrices over a field, International Journal of Algebra 7 (2013) 723–733.

Commuting Graph of Unitriangular Group UT(4; p) Mahalanobis, The automorphism group of the group of unitriangular matrices over a field, International Journal of Algebra 7 (2013) 723–733

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:13:01.844986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T21:13:01.744072Z digest=sha256:2979fc2f947a64540470b10000be7ee7674f5e269252956506ad8a7ccc12c999

Observation 43996997-aa2d-42ce-99eb-3d8f7a4f5be1 · outbound

This paper cites an unresolved cited work.

Commuting Graph of Unitriangular Group UT(4; p) Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:13:01.831671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T21:13:01.748229Z digest=sha256:4a709833154cb533d1aae5f33d34aac0c74bc9366248eb919b2a5a3ffb80f941

Observation f86ce394-8aa1-45f4-9c99-3e5497a9d941 · outbound

This paper cites an unresolved cited work.

Commuting Graph of Unitriangular Group UT(4; p) Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:13:01.817885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T21:13:01.752309Z digest=sha256:4e63be22ef033b28161908e5551808bf24d78f9cc26e9f07c7c07f65087601f8

Pith citing papers

No inbound Pith citation observations are available.