Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Facets of module theory over semirings
As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2405.18645.
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 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-12T05:56:44.059918Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-12T05:56:42.774792Z
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 c19333ae-c98c-4a68-9505-a325a3d11197 · inbound
Representation theory over semifields cites this paper.
Representation theory over semifields Facets of module theory over semirings
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T05:56:42.779742Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4eeca2ab-dbfe-4af2-a2b2-2ae4109b2ae4 · inbound
Tropical representations and valuated matroids cites this paper.
Tropical representations and valuated matroids Facets of module theory over semirings
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:56:44.059918Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.