Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Permanence properties of $F$-injectivity
As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1906.11399.
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 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:43:12.065644Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-24T11:19:23.130442Z
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 f42092a1-9292-4a42-a900-a33c53f0c8b9 · inbound
Hilbert-Kunz Multiplicity of Fibers and Bertini Theorems cites this paper.
Hilbert-Kunz Multiplicity of Fibers and Bertini Theorems Permanence properties of $F$-injectivity
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:43:12.065644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3696ff77-bc0f-4844-86ac-292fa18f9785 · inbound
Pure subrings of Du Bois singularities are Du Bois singularities cites this paper.
Pure subrings of Du Bois singularities are Du Bois singularities Permanence properties of $F$-injectivity
Reference 5
- Resolution
- verified exact
- arxiv_id, observed 2026-05-24T11:19:23.134047Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.