Paper Citation Record · LEDGER

Critical groups and partitions of finite groups

As of 23 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 2 inbound Pith citation observations for arXiv:2412.12345.

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

pith.paper-citation-record.v1
2412.12345 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:19:28.641696Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T20:19:18.457516Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

verified exact1
verified fuzzy13
unresolved10
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cde3d707-936c-4b00-8f5f-e963df65176a · outbound

This paper cites Brachter, E.

Critical groups and partitions of finite groups Brachter, E

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:19:29.218562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d5f1d8e1-0051-4301-8695-039e6ca42af9 · outbound

This paper cites Bubboloni, M.

Critical groups and partitions of finite groups Bubboloni, M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:19:29.202132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2ea8b159-a1c6-4643-8e3e-3f2a81650ae4 · outbound

This paper cites Bubboloni, N.

Critical groups and partitions of finite groups Bubboloni, N

Reference 3

Resolution: malformed identifier; doi_truncated, observed 2026-08-11T14:19:28.730517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9f23c0eb-ef5a-4d9f-9f73-1c2e3915687f · outbound

This paper cites Bubboloni, N.

Critical groups and partitions of finite groups Bubboloni, N

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:19:29.179980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b675c504-507d-4c18-a191-e344223b7926 · outbound

This paper cites Brandl, Finite groups all of whose elements are of prime power order , Bollettino dell’ Unione Matematica Italiana 18-A (1981), 491–493.

Critical groups and partitions of finite groups Brandl, Finite groups all of whose elements are of prime power order , Bollettino dell’ Unione Matematica Italiana 18-A (1981), 491–493

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:19:29.163172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1a89b749-fb93-49b7-b4de-ed55fb185387 · outbound

This paper cites an unresolved cited work.

Critical groups and partitions of finite groups Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:19:29.144482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 062d8128-9c18-413a-8a59-4e9b66dce091 · outbound

This paper cites an unresolved cited work.

Critical groups and partitions of finite groups Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:19:29.123612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 25614a4e-9a3f-4a9d-ad37-7c928698e155 · outbound

This paper cites an unresolved cited work.

Critical groups and partitions of finite groups Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:19:29.100043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8157976c-d699-4bff-b7fd-f8c63b765199 · outbound

This paper cites an unresolved cited work.

Critical groups and partitions of finite groups Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:19:29.080940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 095e67ab-e83b-490d-97af-7728b43e2a0e · outbound

This paper cites an unresolved cited work.

Critical groups and partitions of finite groups Unresolved cited work

Reference 10

Resolution: malformed identifier; doi_truncated, observed 2026-08-11T14:19:28.711199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d76559ec-c2b5-4186-967b-686f273cfa3f · outbound

This paper cites an unresolved cited work.

Critical groups and partitions of finite groups Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:19:29.059870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 64cd6e11-1d69-4ce1-861c-07011bc7eccf · outbound

This paper cites an unresolved cited work.

Critical groups and partitions of finite groups Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:19:29.039693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation adf4f069-b002-4a45-8407-a8f673fbdec4 · outbound

This paper cites an unresolved cited work.

Critical groups and partitions of finite groups Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:19:29.015006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a7f9d453-d96b-4c62-a626-aaa4370f057b · outbound

This paper cites Deaconescu, Classiﬁcation of ﬁnite groups with all elements of prime ord er, Proceedings of the American Mathematical Society 106, No.

Critical groups and partitions of finite groups Deaconescu, Classiﬁcation of ﬁnite groups with all elements of prime ord er, Proceedings of the American Mathematical Society 106, No

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:19:28.998691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d5abf0fc-2be3-42ed-a07d-2478099949fc · outbound

This paper cites an unresolved cited work.

Critical groups and partitions of finite groups Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:19:28.983088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 66d9ca2c-fcb1-4925-81be-0ce6f48fa16d · outbound

This paper cites Foguel, N.

Critical groups and partitions of finite groups Foguel, N

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:19:28.966044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7312c823-46be-42ea-b0a9-9d5f3789d9b9 · outbound

This paper cites Garonzi, M.

Critical groups and partitions of finite groups Garonzi, M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:19:28.950823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 60933e7a-4ee5-4979-9564-a504be907c2b · outbound

This paper cites Highman, Finite groups in which every element has prime power order , Journal of London Mathematical Society 32 (1957), 335–342.

Critical groups and partitions of finite groups Highman, Finite groups in which every element has prime power order , Journal of London Mathematical Society 32 (1957), 335–342

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:19:28.934200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5f756dbf-2fae-4ced-aa32-b0e4120c8057 · outbound

This paper cites Kumar, L.

Critical groups and partitions of finite groups Kumar, L

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:19:28.908711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f218eb00-2a00-4bd2-9e7b-5943ffd7bfbb · outbound

This paper cites Lucchini, Finite groups with planar generating graph , Australasian Journal of Combinatorics 76(1) (2020), 220–225.

Critical groups and partitions of finite groups Lucchini, Finite groups with planar generating graph , Australasian Journal of Combinatorics 76(1) (2020), 220–225

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:19:28.884727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c175e765-4fa5-42b8-80ab-bc2d4aa996ea · outbound

This paper cites Lucchini, D.

Critical groups and partitions of finite groups Lucchini, D

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:19:28.861455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 18d9e013-7f3e-4747-82db-bc3a4aa27a0b · outbound

This paper cites an unresolved cited work.

Critical groups and partitions of finite groups Unresolved cited work

Reference 22

Resolution: verified exact; doi, observed 2026-08-11T14:19:28.690843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9a917ed0-0359-4049-8053-44dda60d57cd · outbound

This paper cites an unresolved cited work.

Critical groups and partitions of finite groups Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:19:28.834367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 96b0f0a1-ec11-4e2f-a346-95c8f6ca9968 · outbound

This paper cites On finite groups with elements of prime power orders.

Critical groups and partitions of finite groups On finite groups with elements of prime power orders

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T14:19:28.630276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b443927-f453-408a-9ac9-3bbce5f02fb3 · outbound

This paper cites Suzuki, Finite groups with nilpotent centralizers , Trans.

Critical groups and partitions of finite groups Suzuki, Finite groups with nilpotent centralizers , Trans

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:19:28.803693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d807af28-cc9d-4220-8c53-d82265f82a0d · outbound

This paper cites Zappa, Partitions and other coverings of ﬁnite groups , Illinois Journal of Mathematics 47, Number 1/2 (2003), 571–580.

Critical groups and partitions of finite groups Zappa, Partitions and other coverings of ﬁnite groups , Illinois Journal of Mathematics 47, Number 1/2 (2003), 571–580

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:19:28.781364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation 63e82690-b298-4be2-906b-f604107db4b1 · inbound

AutoODD: Agentic Audits via Bayesian Red Teaming in Black-Box Models cites this paper.

AutoODD: Agentic Audits via Bayesian Red Teaming in Black-Box Models Critical groups and partitions of finite groups

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T20:19:18.457516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a121fa74-dd3f-4b53-b7b4-f1a2f7239eac · inbound

Preventing Premature Commitment in Coding Agents with an Evidence-Conditioned Execution Layer cites this paper.

Preventing Premature Commitment in Coding Agents with an Evidence-Conditioned Execution Layer Critical groups and partitions of finite groups

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T00:22:55.092576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.