Paper Citation Record · LEDGER

Finite abelian subgroups of algebraic groups

As of 19 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2608.01595.

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

pith.paper-citation-record.v1
2608.01595 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:21:46.580317Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

17 of 17 outbound references displayed

verified exact2
verified fuzzy10
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d43e3fad-ea1f-4fc2-bb0f-368e64476bec · outbound

This paper cites Proposition 6.2.

Finite abelian subgroups of algebraic groups Proposition 6.2

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:46.762427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6d241e7c-359b-4dff-8568-60811143b354 · outbound

This paper cites Under this assumption, both parts reduce to the following.

Finite abelian subgroups of algebraic groups Under this assumption, both parts reduce to the following

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:46.807284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cd2574c1-39cb-4d9b-83c3-666d4d2b55c0 · outbound

This paper cites As we pointed out in the Introduction, we have (4.1) /u1D4613(/u1D43A)| /u1D4612(/u1D43A)| /u1D461(/u1D43A).

Finite abelian subgroups of algebraic groups As we pointed out in the Introduction, we have (4.1) /u1D4613(/u1D43A)| /u1D4612(/u1D43A)| /u1D461(/u1D43A)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:46.795910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fc0a56e3-9e2d-41c5-a12c-25edb8ebbf36 · outbound

This paper cites /T_his notion was introduced by Serre in [ Ser58] (reprinted in [ Ser01]), where he also showed that special /u1D458-groups are smooth, aﬃne and connected.

Finite abelian subgroups of algebraic groups /T_his notion was introduced by Serre in [ Ser58] (reprinted in [ Ser01]), where he also showed that special /u1D458-groups are smooth, aﬃne and connected

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:46.785159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ab0b9ba4-9b0c-4807-b77a-232ddaa69775 · outbound

This paper cites Lemma 6.1.

Finite abelian subgroups of algebraic groups Lemma 6.1

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:46.774365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1e76a727-0742-446e-aa56-4b0c1a3d03ec · outbound

This paper cites (See [ Tot05a] for torsion indices of /u1D438sc 6 and/u1D438sc 7 .) We conclude that ( 6.4) holds in each of the cases (i) - (viii), as we wanted to show.

Finite abelian subgroups of algebraic groups (See [ Tot05a] for torsion indices of /u1D438sc 6 and/u1D438sc 7 .) We conclude that ( 6.4) holds in each of the cases (i) - (viii), as we wanted to show

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:46.749735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2940d9d8-fdf9-4628-a995-40ab71724d91 · outbound

This paper cites Let/u1D458be a ﬁeld of characteristic zero, and let /u1D43Abe a semisimple/u1D458-group of type /u1D4388.

Finite abelian subgroups of algebraic groups Let/u1D458be a ﬁeld of characteristic zero, and let /u1D43Abe a semisimple/u1D458-group of type /u1D4388

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:46.738369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4451aa4c-cffa-468f-a518-d010ded6ddc9 · outbound

This paper cites We denote the /u1D456-th coordinate of a word /u1D464∈/u1D436by/u1D464/u1D456.

Finite abelian subgroups of algebraic groups We denote the /u1D456-th coordinate of a word /u1D464∈/u1D436by/u1D464/u1D456

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:46.725604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f87e910a-3e0c-4810-a460-03a3e796410b · outbound

This paper cites /T_his shows that (2) holds, ﬁnishing the proof.

Finite abelian subgroups of algebraic groups /T_his shows that (2) holds, ﬁnishing the proof

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:46.713805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3f61c5d9-d24e-4d20-8240-9a508598d70b · outbound

This paper cites an unresolved cited work.

Finite abelian subgroups of algebraic groups Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:21:46.702172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 636f8c6f-c6a2-405f-bf63-3c0488ca5c88 · outbound

This paper cites an unresolved cited work.

Finite abelian subgroups of algebraic groups Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:21:46.691401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ea10051e-ebd3-4448-896a-50c5b941905a · outbound

This paper cites an unresolved cited work.

Finite abelian subgroups of algebraic groups Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:21:46.679946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 45b92072-8a7c-490d-ad53-4bf548206768 · outbound

This paper cites Generically trivial torsors under constant groups.

Finite abelian subgroups of algebraic groups Generically trivial torsors under constant groups

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:21:46.646160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bb02ebd7-80d5-4fa4-84c1-0cc6756c56c5 · outbound

This paper cites Ramiﬁcation in Algebra and Geometry at Emory.

Finite abelian subgroups of algebraic groups Ramiﬁcation in Algebra and Geometry at Emory

Reference 1972

Resolution: verified exact; doi, observed 2026-08-15T15:21:46.615874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1c212aba-5f17-419a-b701-c44c0d0bd988 · outbound

This paper cites Jordan bounds for volume-preserving Cremona groups.

Finite abelian subgroups of algebraic groups Jordan bounds for volume-preserving Cremona groups

Reference 1992

Resolution: metadata mismatch; local_arxiv, observed 2026-08-15T15:21:46.631233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2ba1b044-5827-4293-98c4-b021d40a80aa · outbound

This paper cites Espaces ﬁbr ´es alg´ebriques, expos´e 1.

Finite abelian subgroups of algebraic groups Espaces ﬁbr ´es alg´ebriques, expos´e 1

Reference 2001

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:46.668360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 44d0c054-99d3-436d-a9e9-4d5bdb94ce1f · outbound

This paper cites an unresolved cited work.

Finite abelian subgroups of algebraic groups Unresolved cited work

Reference 2026

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:21:46.657217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.