Paper Citation Record · LEDGER

On Noether's Degree Bound for Finite Group Schemes

As of 10 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 2 inbound Pith citation observations for arXiv:2505.24752.

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

pith.paper-citation-record.v1
2505.24752 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:35:37.276811Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:36:03.958808Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T22:57:16.707264Z

Reference resolution

18 of 18 outbound references displayed

verified exact0
verified fuzzy11
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e225557d-f669-45fa-948c-4b75a1d15cd9 · outbound

This paper cites Abramovich, M.

On Noether's Degree Bound for Finite Group Schemes Abramovich, M

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T12:35:35.016288Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 285db62b-b6db-44a4-80a2-ff1ca37a1cea · outbound

This paper cites Brion, Finite Group Schemes, Groups St Andrews 2022 in Newcastle, London Mathematical Society Lecture Note Series 496 (2025), 1-53.

On Noether's Degree Bound for Finite Group Schemes Brion, Finite Group Schemes, Groups St Andrews 2022 in Newcastle, London Mathematical Society Lecture Note Series 496 (2025), 1-53

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:39.320210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e7b02d0b-c022-4d6b-b6b1-7678d10e27ec · outbound

This paper cites Chin, Crossed products of semisimple cocommutative Hopf algebras, Proc.

On Noether's Degree Bound for Finite Group Schemes Chin, Crossed products of semisimple cocommutative Hopf algebras, Proc

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T12:35:35.343972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be0b1f82-e2dd-422f-a86d-35fe87892870 · outbound

This paper cites Derksen, G.

On Noether's Degree Bound for Finite Group Schemes Derksen, G

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:39.164579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation df60b6e1-ec71-44a3-8edf-01cfd17863c0 · outbound

This paper cites Fleischmann, The Noether bound in invariant theory of finite groups, Adv.

On Noether's Degree Bound for Finite Group Schemes Fleischmann, The Noether bound in invariant theory of finite groups, Adv

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:39.013100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5db969ef-518e-4bc6-8a88-470d07d4ee04 · outbound

This paper cites Fogarty, On Noether's bound for polynomial invariants of a finite group, Electron.

On Noether's Degree Bound for Finite Group Schemes Fogarty, On Noether's bound for polynomial invariants of a finite group, Electron

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:38.841941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 372b5559-3ca2-4cb3-a05b-0caa9142d1c4 · outbound

This paper cites Notes on the combinatorial fundamentals of algebra.

On Noether's Degree Bound for Finite Group Schemes Notes on the combinatorial fundamentals of algebra

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T12:35:36.116366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f149d920-6e5b-418a-8fec-4ca5b7a30ad9 · outbound

This paper cites Hashimoto, Classification of the linearly reductive finite subgroup schemes of SL_2 , Acta Math.

On Noether's Degree Bound for Finite Group Schemes Hashimoto, Classification of the linearly reductive finite subgroup schemes of SL_2 , Acta Math

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T12:35:36.310225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b54cf64-61d4-45cf-99d6-2172eeac8116 · outbound

This paper cites Liedtke, G.

On Noether's Degree Bound for Finite Group Schemes Liedtke, G

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T12:35:36.375395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fede6282-03ed-4c26-97c2-bbee51a74e3b · outbound

This paper cites Mumford, F.

On Noether's Degree Bound for Finite Group Schemes Mumford, F

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:38.674732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fbd44150-97ef-487b-8f6b-db3be7aae0d7 · outbound

This paper cites Uber die Invarianten der linearen Substitutionsgruppen, Sitzungber. K\.

On Noether's Degree Bound for Finite Group Schemes Uber die Invarianten der linearen Substitutionsgruppen, Sitzungber. K\

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:38.435605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ffeefed9-42c6-4742-a99f-283b964f3343 · outbound

This paper cites Nagata, Complete reducibility of rational representations of a matric group, J.

On Noether's Degree Bound for Finite Group Schemes Nagata, Complete reducibility of rational representations of a matric group, J

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T12:35:36.670518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25391b20-2c31-4723-9a57-66a3af1602f5 · outbound

This paper cites Noether, Der Endlichkeitssatz der Invarianten endlicher Gruppen, Math.

On Noether's Degree Bound for Finite Group Schemes Noether, Der Endlichkeitssatz der Invarianten endlicher Gruppen, Math

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T12:35:36.823822Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3608366e-35e1-4f95-9c03-02007dcdc741 · outbound

This paper cites Oort, Finite group schemes, local moduli for abelian varieties, and lifting problems, Compositio Math.

On Noether's Degree Bound for Finite Group Schemes Oort, Finite group schemes, local moduli for abelian varieties, and lifting problems, Compositio Math

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:38.271632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 01d2735d-d74d-4a7c-9245-845e495275ea · outbound

This paper cites Richman, On vector invariants over finite fields, Adv.

On Noether's Degree Bound for Finite Group Schemes Richman, On vector invariants over finite fields, Adv

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:38.087686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d4a0b970-c931-4706-b38e-ebefde9dd7e4 · outbound

This paper cites Richman, Invariants of finite groups over fields of characteristic p ,.

On Noether's Degree Bound for Finite Group Schemes Richman, Invariants of finite groups over fields of characteristic p ,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:37.872304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e18f08e0-db25-4e87-9343-6462a2b296a0 · outbound

This paper cites Schmid, Finite groups and invariant theory, Topics in invariant theory (Paris, 1989/1990), 35--66, Lecture Notes in Math.1478, Springer-Verlag (1991).

On Noether's Degree Bound for Finite Group Schemes Schmid, Finite groups and invariant theory, Topics in invariant theory (Paris, 1989/1990), 35--66, Lecture Notes in Math.1478, Springer-Verlag (1991)

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:37.669124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 50f627a0-0350-4c33-bf38-bd45785aaf02 · outbound

This paper cites Waterhouse, Introduction to Affine Group Schemes, Springer (1979).

On Noether's Degree Bound for Finite Group Schemes Waterhouse, Introduction to Affine Group Schemes, Springer (1979)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:37.502768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

Observation 5ec11228-8889-44f2-bd13-f6f67372a499 · inbound

Generic orbits, normal bases, and generation degree for fields of rational invariants cites this paper.

Generic orbits, normal bases, and generation degree for fields of rational invariants On Noether's Degree Bound for Finite Group Schemes

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T10:36:03.958808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d6d94d8-4fb4-47f0-be18-dc8d9fbb8f9a · inbound

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ cites this paper.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ On Noether's Degree Bound for Finite Group Schemes

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-06T22:57:16.804667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.