Pith. sign in

Paper Citation Record · LEDGER

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements

As of 22 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2608.00703.

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

pith.paper-citation-record.v1
2608.00703 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:29:54.136216Z

measured 17 of 17 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T05:34:49.529927Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T05:34:49.585981Z

Reference resolution

16 of 16 outbound references displayed

  • verified exact2
  • verified fuzzy10
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7f42a44c-e65f-46aa-8bbb-366edb86eb9d · outbound

This paper cites and Mortimer, Brian , title =.

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements and Mortimer, Brian , title =

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:29:54.363259Z

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.

source=arxiv_source observed=2026-08-15T15:29:54.070498Z digest=sha256:235fa78974680981f1b65839d66e47a84e4869006763767e6519215a20c0360b

Observation c0517790-2792-4b64-a3a2-111fee116ec6 · outbound

This paper cites , title =.

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements , title =

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:29:54.352417Z

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.

source=arxiv_source observed=2026-08-15T15:29:54.076711Z digest=sha256:7ad4fbb2a33b57b56fd676eaffa16671e36a9d24d68fa4beb920be0a87ee618b

Observation 5cb88fd8-3ae2-4d5d-b00c-0fb38f579f8c · outbound

This paper cites an unresolved cited work.

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:29:54.341319Z

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.

source=arxiv_source observed=2026-08-15T15:29:54.080738Z digest=sha256:b80854fccdb6f0bddbf79209f12b1855cc4152f425a22874984967978aaced65

Observation 0aabc425-c516-4d11-9895-fac493750ae9 · outbound

This paper cites Maximal subgroups of exceptional groups and Quillen's dimension.

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements Maximal subgroups of exceptional groups and Quillen's dimension

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-15T15:29:54.221545Z

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.

source=arxiv_source observed=2026-08-15T15:29:54.085800Z digest=sha256:884ddd5fdf1fb5c3ebb0719e7ad00536a414abad964892778c7ae66e58627c30

Observation 7c5580d0-5983-4921-9e04-5af32b407bd6 · outbound

This paper cites On the diameter of intersection graphs of finite groups.

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements On the diameter of intersection graphs of finite groups

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-15T15:29:54.205643Z

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.

source=arxiv_source observed=2026-08-15T15:29:54.090351Z digest=sha256:564c82e2a061a535d3e3acbb8864e86963659d8f0fef98ba9d1949b490b2dbda

Observation a56a954c-902d-4fa3-8b17-3290e0552a88 · outbound

This paper cites an unresolved cited work.

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:29:54.328319Z

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.

source=arxiv_source observed=2026-08-15T15:29:54.095028Z digest=sha256:abee147b75772916ace45e751bd5d20b0eb993af4a5476c966932126aa6a6fe3

Observation 24645df4-7395-4443-81ea-d650e4b135b1 · outbound

This paper cites , title =.

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements , title =

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:29:54.317132Z

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.

source=arxiv_source observed=2026-08-15T15:29:54.099056Z digest=sha256:59ce202b25495a60e829eb7c5e3d45ab52f59074a30fdaa1d617d880ede6c705

Observation 3661c570-3319-48eb-b40c-884a349336f9 · outbound

This paper cites , title =.

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements , title =

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:29:54.305787Z

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.

source=arxiv_source observed=2026-08-15T15:29:54.103011Z digest=sha256:0dccd46127f6d88dbaa9568d53900c0191767dcddcf40f78c573e1a8c127e8f5

Observation b34b2540-4941-4be7-ba4c-bbb002bcb7ef · outbound

This paper cites The Kourovka Notebook.

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements The Kourovka Notebook

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:29:54.294571Z

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.

source=arxiv_source observed=2026-08-15T15:29:54.107477Z digest=sha256:41d44955bc351399cf57fc36a3e464278566b988ea53aec96a040931a7630c59

Observation 4b814caa-c60f-44c6-ba4c-5b2d3dfb9700 · outbound

This paper cites , title =.

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements , title =

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:29:54.282723Z

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.

source=arxiv_source observed=2026-08-15T15:29:54.111845Z digest=sha256:e39b2ae972e7673f5d19cecd996e424735acd56d897cb67fe70fec4e4b2af9a3

Observation c517d3b9-72c2-4f86-be1d-7f630716cf7d · outbound

This paper cites Archiv der Mathematik , volume =.

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements Archiv der Mathematik , volume =

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:29:54.271175Z

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.

source=arxiv_source observed=2026-08-15T15:29:54.116086Z digest=sha256:ebc6f806e55672a45ab407b31a3aa5bac2bbe61db00886d01a508cdafbc88e9b

Observation 15767fc7-693b-4f67-92c6-88ca7e2742de · outbound

This paper cites Archiv der Mathematik , volume =.

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements Archiv der Mathematik , volume =

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:29:54.257879Z

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.

source=arxiv_source observed=2026-08-15T15:29:54.120339Z digest=sha256:99f1a6698cf88294e54cd703cd46d4edddf1d4fffaab449d4c239da9a8a7f10e

Observation 75c33604-0b4b-4aa1-b727-21f1e4efddc3 · outbound

This paper cites and Lubotzky, Alexander and Shalev, Aner , title =.

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements and Lubotzky, Alexander and Shalev, Aner , title =

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:29:54.245443Z

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.

source=arxiv_source observed=2026-08-15T15:29:54.124672Z digest=sha256:762f499765b8e9ec69030d8f23eb0a615ef7035715f3f026908570e87466bcad

Observation 03fead7b-688a-4a72-b61d-482b533f1261 · outbound

This paper cites Invariable Generation of Infinite Groups.

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements Invariable Generation of Infinite Groups

Reference 14

Resolution
metadata mismatch
local_arxiv, observed 2026-08-15T15:29:54.190641Z

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.

source=arxiv_source observed=2026-08-15T15:29:54.128410Z digest=sha256:b4ab79c52b923d6e3f2c9407549b0c35c0d370091916840069161e7b91bff5c6

Observation 13486de6-1806-4441-b797-b267d5d00850 · outbound

This paper cites Invariable generation with elements of coprime prime-power order.

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements Invariable generation with elements of coprime prime-power order

Reference 15

Resolution
metadata mismatch
local_arxiv, observed 2026-08-15T15:29:54.173544Z

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.

source=arxiv_source observed=2026-08-15T15:29:54.132287Z digest=sha256:42a181338d02749f4f9740163f16ef5605f06127d622ac888820c058aa47412c

Observation ea412d74-f131-4ea1-a3e2-4942f1d55f58 · outbound

This paper cites 2026 , eprint=.

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements 2026 , eprint=

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:29:54.233618Z

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.

source=arxiv_source observed=2026-08-15T15:29:54.136216Z digest=sha256:6bfc0f3457617407cc33aab439264d8f7f4a477aa800dcb783a6e09694e0d069

Pith citing papers

Observation ea7d90d3-b0ca-45b5-bf1c-f26730de634b · inbound

The structure of finite groups invariably generated by two elements of prime order cites this paper.

The structure of finite groups invariably generated by two elements of prime order Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-05T05:34:49.590904Z

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.

source=pdf_text observed=2026-08-05T05:34:49.529927Z digest=sha256:5cda763f56136658913999b30081db7866bacdae4995e33381244000818a471d