Paper Citation Record · LEDGER

Two new functions related to the sum of element orders of a finite group

As of 22 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2608.10035.

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

pith.paper-citation-record.v1
2608.10035 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:26:34.332430Z

measured 22 of 22 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

22 of 22 outbound references displayed

verified exact0
verified fuzzy19
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 19eeaadb-d547-473a-840a-9f62263d82e9 · outbound

This paper cites Amiri, S.M.

Two new functions related to the sum of element orders of a finite group Amiri, S.M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:34.821424Z

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 76277a99-686e-41c4-ac29-1eedb1b014a6 · outbound

This paper cites Amiri and S.M.

Two new functions related to the sum of element orders of a finite group Amiri and S.M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:34.798816Z

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 b74f513f-36ee-4434-bb73-042d7846920b · outbound

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

Two new functions 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: unresolved; no resolver link, observed 2026-08-14T04:26:34.238638Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b42784d-ad9d-48a1-a3a1-6c4addf0ab75 · outbound

This paper cites Baniasad Asad and B.

Two new functions related to the sum of element orders of a finite group Baniasad Asad and B

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:34.750068Z

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 649e6280-bd7d-43ed-8bb9-8f0e14be58e4 · outbound

This paper cites Baniasad Azad and B.

Two new functions related to the sum of element orders of a finite group Baniasad Azad and B

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:34.730658Z

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 ac6a190c-fa99-42ca-9b7f-a32577a54269 · outbound

This paper cites Camina,Some conditions that almost characterize Frobenius groups, Israel J.

Two new functions related to the sum of element orders of a finite group Camina,Some conditions that almost characterize Frobenius groups, Israel J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:34.711045Z

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 7a4061b2-a875-40bf-aecd-be4ed6e05e8e · outbound

This paper cites Camina, R.D.

Two new functions related to the sum of element orders of a finite group Camina, R.D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:34.677096Z

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 c57c38bf-4a83-482b-a508-90b05682e423 · outbound

This paper cites Herzog, P.

Two new functions related to the sum of element orders of a finite group Herzog, P

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:34.650699Z

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 6848136d-6cd4-4074-952f-cc2496d00408 · outbound

This paper cites Herzog, P.

Two new functions related to the sum of element orders of a finite group Herzog, P

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:34.633668Z

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 e7a01a36-5ca7-469e-9c98-cdfefe832e51 · outbound

This paper cites Herzog, P.

Two new functions related to the sum of element orders of a finite group Herzog, P

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:34.586873Z

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 18469509-3d3d-4984-abe9-361698f03766 · outbound

This paper cites Herzog, P.

Two new functions related to the sum of element orders of a finite group Herzog, P

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:34.567636Z

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 94ab9048-72e4-44d1-8eb3-e69b7cf147f1 · outbound

This paper cites Herzog, P.

Two new functions related to the sum of element orders of a finite group Herzog, P

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:34.542581Z

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 d428f7c5-3891-459d-8e6e-b845f6095ded · outbound

This paper cites Jaikin-Zapirain,On the number of conjugacy classes of finite nilpotent groups, Adv.

Two new functions related to the sum of element orders of a finite group Jaikin-Zapirain,On the number of conjugacy classes of finite nilpotent groups, Adv

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:34.526613Z

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 e0342192-68eb-48d0-83b5-4cc0d9af9295 · outbound

This paper cites Khukhro, A.

Two new functions related to the sum of element orders of a finite group Khukhro, A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:34.507320Z

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 d8e25791-f98e-4e1a-934b-80b307a05107 · outbound

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

Two new functions 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 15

Resolution: unresolved; no resolver link, observed 2026-08-14T04:26:34.298444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9fbd1475-c229-4d1f-8365-7adef3459c4e · outbound

This paper cites Lazorec and M.

Two new functions related to the sum of element orders of a finite group Lazorec and M

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:34.471727Z

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 0265e382-bc02-40e7-b4c9-53baad0b7db7 · outbound

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

Two new functions related to the sum of element orders of a finite group Unsolved Problems in Group Theory. The Kourovka Notebook

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T04:26:34.308400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa8f6732-cab4-4559-9d85-af5238207e96 · outbound

This paper cites Suzuki,Group theory, I, II, Springer Verlag, Berlin, 1982, 1986.

Two new functions related to the sum of element orders of a finite group Suzuki,Group theory, I, II, Springer Verlag, Berlin, 1982, 1986

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:34.453728Z

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 793b3cc8-2017-4e8f-8ce3-187adfc2e109 · outbound

This paper cites T˘ arn˘ auceanu,A characterization of generalized quaternion2-groups, C.R.

Two new functions related to the sum of element orders of a finite group T˘ arn˘ auceanu,A characterization of generalized quaternion2-groups, C.R

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:34.437824Z

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 b0449577-8511-406a-8a87-f8e3b0467d96 · outbound

This paper cites T˘ arn˘ auceanu,Detecting structural properties of finite groups by the sum of element orders, Israel J.

Two new functions related to the sum of element orders of a finite group T˘ arn˘ auceanu,Detecting structural properties of finite groups by the sum of element orders, Israel J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:34.421907Z

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 abdbae85-e2fb-4aa2-9339-1f36d639d25c · outbound

This paper cites T˘ arn˘ auceanu,A criterion for nilpotency of a finite group by the sum of element orders, Comm.

Two new functions related to the sum of element orders of a finite group T˘ arn˘ auceanu,A criterion for nilpotency of a finite group by the sum of element orders, Comm

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:34.405807Z

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 6ee2039b-58e7-40b1-a98b-172b394f0727 · outbound

This paper cites Al.I. Cuza.

Two new functions related to the sum of element orders of a finite group Al.I. Cuza

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:34.388705Z

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.

Pith citing papers

No inbound Pith citation observations are available.