Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Multidegrees, families, and integral dependence
As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2405.07000.
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 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-16T01:14:14.636812Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-15T01:38:27.663367Z
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 94be01cb-e9c9-4b40-aa48-2ba5f353bc24 · inbound
Degree functions of graded families of ideals cites this paper.
Degree functions of graded families of ideals Multidegrees, families, and integral dependence
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:33:18.563244Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4039f82b-db4c-4f64-9286-d6309d534e40 · inbound
Numerical characterizations for integral dependence of graded modules cites this paper.
Numerical characterizations for integral dependence of graded modules Multidegrees, families, and integral dependence
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-05-15T01:38:27.664920Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b866fb0d-1ad8-4995-a6e7-037a0870b43e · inbound
The multiplicity sequence of monomial ideals cites this paper.
The multiplicity sequence of monomial ideals Multidegrees, families, and integral dependence
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T01:14:14.636812Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.