Paper Citation Record · LEDGER

On a divisibility condition related to the sum of element orders of a finite group

As of 21 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2608.10036.

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

pith.paper-citation-record.v1
2608.10036 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:22:44.708050Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

12 of 12 outbound references displayed

verified exact0
verified fuzzy10
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 44d5aa59-2f5f-467a-9b2e-64c84ad00713 · outbound

This paper cites Amiri, S.M.

On a divisibility condition related to the sum of element orders of a finite group Amiri, S.M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:44.879992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5dba2c8d-a720-4322-8ac3-ee84d15cd42b · outbound

This paper cites Amiri and S.M.

On a divisibility condition related to the sum of element orders of a finite group Amiri and S.M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:44.865988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 85555103-3f2f-47c7-96a0-c8688e85b5af · outbound

This paper cites Amiri,On a bijection between a finite group and cyclic group, J.

On a divisibility condition related to the sum of element orders of a finite group Amiri,On a bijection between a finite group and cyclic group, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:44.853547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e00c26f1-adc3-4d9d-a45f-67b8e57fcadd · outbound

This paper cites Cheng, M.

On a divisibility condition related to the sum of element orders of a finite group Cheng, M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:44.840375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cadd0875-fe68-4632-b734-9549925e9357 · outbound

This paper cites Deaconescu,Classification of finite groups with all elements of prime order, Proc.

On a divisibility condition related to the sum of element orders of a finite group Deaconescu,Classification of finite groups with all elements of prime order, Proc

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:44.828106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fbac386b-d4fd-4b8e-916f-a53fd9f443b7 · outbound

This paper cites Harrington, L.

On a divisibility condition related to the sum of element orders of a finite group Harrington, L

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:44.815589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2076cac4-c619-4f62-9cd7-dab1404786a8 · outbound

This paper cites Herzog, P.

On a divisibility condition related to the sum of element orders of a finite group Herzog, P

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T04:22:44.686638Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 018a9398-119e-44db-b4f1-b1ef0dd7c0aa · outbound

This paper cites Isaacs,Finite group theory, Amer.

On a divisibility condition related to the sum of element orders of a finite group Isaacs,Finite group theory, Amer

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:44.795551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3efc7f28-de3c-41c9-a1ed-4225a05388dd · outbound

This paper cites Ladisch,Order-increasing bijection from arbitrary groups to cyclic groups, http://mathoverflow.net/a/107395.

On a divisibility condition related to the sum of element orders of a finite group Ladisch,Order-increasing bijection from arbitrary groups to cyclic groups, http://mathoverflow.net/a/107395

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:44.781710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 054e4125-52e3-41db-8a0b-1f6d9ac6c666 · outbound

This paper cites Lazorec,On a divisibility property involving the sum of element orders, Bull.

On a divisibility condition related to the sum of element orders of a finite group Lazorec,On a divisibility property involving the sum of element orders, Bull

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:44.768578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 80d70be1-ae7d-4ca7-ab6a-f6d0f155a55b · outbound

This paper cites Lazorec,A graph related to the sum of element orders of a finite group, Contrib.

On a divisibility condition related to the sum of element orders of a finite group Lazorec,A graph related to the sum of element orders of a finite group, Contrib

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:22:44.754758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6cdf3670-b42a-40a5-aa60-aa0ea2241fd9 · outbound

This paper cites Unsolved Problems in Group Theory. The Kourovka Notebook.

On a divisibility condition related to the sum of element orders of a finite group Unsolved Problems in Group Theory. The Kourovka Notebook

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-14T04:22:44.708050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.