Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Homological shifts of polymatroidal ideals
As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2205.04163.
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 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-10T23:22:37.838791Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T16:36:08.068100Z
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 8ce7b9e6-57bc-4e3a-87bf-8dd7943274d0 · inbound
The homological shift algebra of a monomial ideal cites this paper.
The homological shift algebra of a monomial ideal Homological shifts of polymatroidal ideals
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T23:22:37.838791Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c4cfc371-5d97-4c48-9f06-a065667c666b · inbound
On the homological shifts of cover ideals of Cohen-Macaulay graphs cites this paper.
On the homological shifts of cover ideals of Cohen-Macaulay graphs Homological shifts of polymatroidal ideals
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:49:11.213702Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f4b1a7a-d64e-46bf-b25c-f2f4725c017c · inbound
Syzygies of polymatroidal ideals cites this paper.
Syzygies of polymatroidal ideals Homological shifts of polymatroidal ideals
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T16:36:08.151455Z
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.