Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Divisibility and a weak ascending chain condition on principal ideals
As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2212.06213.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-12T13:37:57.492172Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T19:30:07.625997Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation da472b5b-9b55-47be-ba0d-7d45e0073e0a · inbound
On the atomicity of one-dimensional monoid algebras cites this paper.
On the atomicity of one-dimensional monoid algebras Divisibility and a weak ascending chain condition on principal ideals
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:37:57.492172Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a8aabfdd-319a-4812-8380-f38554d7feb3 · inbound
Arithmetic properties encoded in undermonoids cites this paper.
Arithmetic properties encoded in undermonoids Divisibility and a weak ascending chain condition on principal ideals
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T15:23:58.127705Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5fad257f-a280-4833-a513-15a2d8c50d82 · inbound
On finitary power monoids of linearly orderable monoids cites this paper.
On finitary power monoids of linearly orderable monoids Divisibility and a weak ascending chain condition on principal ideals
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:05:57.230902Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4e21f37-9c2b-4ab0-86a8-cf156bb2b586 · inbound
On near atomicity and a characterization of the FF property cites this paper.
On near atomicity and a characterization of the FF property Divisibility and a weak ascending chain condition on principal ideals
Reference 19
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T19:30:07.627387Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a11adf89-da4a-475b-81cd-16817e226a08 · inbound
On the additive structure of algebraic valuations of polynomial semirings II cites this paper.
On the additive structure of algebraic valuations of polynomial semirings II Divisibility and a weak ascending chain condition on principal ideals
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-07-12T06:27:32.507916Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.