Paper Citation Record · LEDGER

Separating polynomial invariants over non-closed fields of finite abelian groups

As of 8 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2506.22889.

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

pith.paper-citation-record.v1
2506.22889 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:08:11.640310Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

30 of 30 outbound references displayed

verified exact2
verified fuzzy22
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d379c9f0-a159-4adc-810d-47ec5b8b9ed5 · outbound

This paper cites an unresolved cited work.

Separating polynomial invariants over non-closed fields of finite abelian groups Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:08:17.911377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation eb78a817-3c7a-4525-a5b5-808c4e727e2a · outbound

This paper cites an unresolved cited work.

Separating polynomial invariants over non-closed fields of finite abelian groups Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:08:17.739438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e5bf6c75-e521-4824-b3dc-aa735711041d · outbound

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

Separating polynomial invariants over non-closed fields of finite abelian groups Generic orbits, normal bases, and generation degree for fields of rational invariants

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T22:08:07.252087Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11758eca-6089-4aa8-9046-e38b2047ad5a · outbound

This paper cites Blum-Smith, T.

Separating polynomial invariants over non-closed fields of finite abelian groups Blum-Smith, T

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:17.529958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4320cc85-9c6a-470f-aef5-5ae9463ee58a · outbound

This paper cites Cahill, A.

Separating polynomial invariants over non-closed fields of finite abelian groups Cahill, A

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:17.362827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0d6b4b7f-b67e-460e-a9e3-91d3a2e5de50 · outbound

This paper cites Cahill, J.

Separating polynomial invariants over non-closed fields of finite abelian groups Cahill, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:17.189176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ef4085cb-2637-460c-b111-69d4e2e4fa94 · outbound

This paper cites Cahill, J.

Separating polynomial invariants over non-closed fields of finite abelian groups Cahill, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:16.961135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d4a51d02-81fa-49de-a203-c5e3b07b4549 · outbound

This paper cites Cziszter, M.

Separating polynomial invariants over non-closed fields of finite abelian groups Cziszter, M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:16.789687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 39187613-52e0-41e2-b5ea-8400b296182c · outbound

This paper cites Cziszter, M.

Separating polynomial invariants over non-closed fields of finite abelian groups Cziszter, M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:16.584795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7c9b80e7-e88d-4283-b614-9ca6e9911d2e · outbound

This paper cites Derksen, G.

Separating polynomial invariants over non-closed fields of finite abelian groups Derksen, G

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:16.422556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1dffd515-905a-4dd9-8211-d8384e7cfa62 · outbound

This paper cites Domokos, Typical separating invariants, Transform.

Separating polynomial invariants over non-closed fields of finite abelian groups Domokos, Typical separating invariants, Transform

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:16.273420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 673db20e-8c29-493a-b8ce-c704dae8307c · outbound

This paper cites Domokos, Degree bound for separating invariants of finite abelian groups, Proc.

Separating polynomial invariants over non-closed fields of finite abelian groups Domokos, Degree bound for separating invariants of finite abelian groups, Proc

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:16.104326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cbe0d9ef-b08c-4bf9-bd67-75c97e4d5484 · outbound

This paper cites Domokos, Separating monomials for diagonalizable actions, Bull.

Separating polynomial invariants over non-closed fields of finite abelian groups Domokos, Separating monomials for diagonalizable actions, Bull

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:15.822324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ccb57934-00c4-4285-92f6-6277b892f6da · outbound

This paper cites Draisma, G.

Separating polynomial invariants over non-closed fields of finite abelian groups Draisma, G

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:15.622252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 067979c5-e33e-4ef6-9898-c3e0214d103c · outbound

This paper cites Mapping toric varieties into low dimensional spaces.

Separating polynomial invariants over non-closed fields of finite abelian groups Mapping toric varieties into low dimensional spaces

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-06T22:08:12.258815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e6d78be0-3a9b-4a9c-931b-1a305821555d · outbound

This paper cites Orbit recovery from invariants of low degree in representations of finite groups.

Separating polynomial invariants over non-closed fields of finite abelian groups Orbit recovery from invariants of low degree in representations of finite groups

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-06T22:08:11.975950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation deefe9a1-3875-45cb-895a-c86f2238f6e8 · outbound

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

Separating polynomial invariants over non-closed fields of finite abelian groups Fleischmann, The Noether bound in invariant theory of finite groups, Adv

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:15.410399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4448a80f-7f07-41c3-b73a-862f8fcba2dd · outbound

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

Separating polynomial invariants over non-closed fields of finite abelian groups Fogarty, On Noether’s bound for polynomial invariants of a finite group, Electron

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:15.201485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation feb9f4d3-3a04-4562-a526-21b1324abd1a · outbound

This paper cites Kemper, Separating invariants, J.

Separating polynomial invariants over non-closed fields of finite abelian groups Kemper, Separating invariants, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:14.866540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c107e6b6-23bd-4f84-b4af-c24b2987bbc9 · outbound

This paper cites Kohls, H.

Separating polynomial invariants over non-closed fields of finite abelian groups Kohls, H

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:14.690617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation db91d0df-019b-41ab-b1d9-5804fba209a8 · outbound

This paper cites Narkiewicz, Finite abelian groups and factorization problems, Colloq.

Separating polynomial invariants over non-closed fields of finite abelian groups Narkiewicz, Finite abelian groups and factorization problems, Colloq

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:14.453510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f5acdb7e-6772-4571-b776-90f6bb4c0d31 · outbound

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

Separating polynomial invariants over non-closed fields of finite abelian groups Noether, Der Endlichkeitssatz der Invarianten endlicher Gruppen, Math

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:14.215985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d44cde93-5f28-43dd-9200-ac2a770c2710 · outbound

This paper cites Perry, J.

Separating polynomial invariants over non-closed fields of finite abelian groups Perry, J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:13.972331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d9d7d546-d097-439a-9324-3017a5ed0f78 · outbound

This paper cites an unresolved cited work.

Separating polynomial invariants over non-closed fields of finite abelian groups Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:08:13.722390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c4546f6d-f586-4c9b-91df-66f913c5063e · outbound

This paper cites an unresolved cited work.

Separating polynomial invariants over non-closed fields of finite abelian groups Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:08:13.519691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7c984646-4394-4939-a1f3-ba0f3531b5d3 · outbound

This paper cites Schefler, The separating Noether number of the direct sum of several copies of a cyclic group, Proc.

Separating polynomial invariants over non-closed fields of finite abelian groups Schefler, The separating Noether number of the direct sum of several copies of a cyclic group, Proc

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:13.274228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b7ee0a9b-e67f-4b1e-b832-66c7d5982d93 · outbound

This paper cites Schefler, The separating Noether number of abelian groups of rank two, J.

Separating polynomial invariants over non-closed fields of finite abelian groups Schefler, The separating Noether number of abelian groups of rank two, J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:13.055425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9f7bb8ec-4c19-4f49-b8a7-ea91def3554e · outbound

This paper cites On the separating Noether number of finite abelian groups.

Separating polynomial invariants over non-closed fields of finite abelian groups On the separating Noether number of finite abelian groups

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T22:08:11.315780Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 096ca959-ec64-4661-9a59-9c910fed8def · outbound

This paper cites Topics in invariant theory.

Separating polynomial invariants over non-closed fields of finite abelian groups Topics in invariant theory

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:12.798103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fb39b0f2-ce0f-43a2-b581-d1f3763f4b71 · outbound

This paper cites Serre, Linear Representations of Finite Groups, Graduate Texts in Mathematics 42, Springer Verlag, New York, 1977.

Separating polynomial invariants over non-closed fields of finite abelian groups Serre, Linear Representations of Finite Groups, Graduate Texts in Mathematics 42, Springer Verlag, New York, 1977

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:08:12.524545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.