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Paper Citation Record · LEDGER

Subgroups of an abelian group, related ideals of the group ring, and quotients by those ideals

As of 16 August 2026, this Paper Citation Record lists 3 of 3 outbound references and 0 inbound Pith citation observations for arXiv:1908.02968.

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

pith.paper-citation-record.v1
1908.02968 v1

Coverage vector

measured 3 of 3 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:40:44.182368Z

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

3 of 3 outbound references displayed

  • verified exact0
  • verified fuzzy2
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 076d55b4-1d1c-498c-a712-78990ca00803 · outbound

This paper cites an unresolved cited work.

Subgroups of an abelian group, related ideals of the group ring, and quotients by those ideals Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:40:44.234612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:40:44.173061Z digest=sha256:dc4c6a0cd8b66273caf13835a4c39c262faeed50a14f1565014f453a652cacfe

Observation 5798df9d-e315-4f18-9934-3daa7757cb9c · outbound

This paper cites Karpilovsky, Commutative Group Algebras , Dekker, New York, 1983.

Subgroups of an abelian group, related ideals of the group ring, and quotients by those ideals Karpilovsky, Commutative Group Algebras , Dekker, New York, 1983

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:40:44.224021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:40:44.178487Z digest=sha256:cdb4ed7d9431ae1b767643ec5305b38009f7951e49957664b6259cb419a6ef4d

Observation 4b41653c-acb8-42f4-a0f3-095a28b76f1a · outbound

This paper cites Kawai and N.

Subgroups of an abelian group, related ideals of the group ring, and quotients by those ideals Kawai and N

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:40:44.212456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:40:44.182368Z digest=sha256:9ef2e410ca13c9a48a0f202524ecba535c5f4ee5199fa115365ceecf15bcd5af

Pith citing papers

No inbound Pith citation observations are available.