Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Optimal Poincar\'e-Hardy-type Inequalities on Manifolds and Graphs
As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2501.18379.
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 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:13:32.431393Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-19T04:42:04.201982Z
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 0f3f34bd-06be-40a2-9843-af39f42de05c · inbound
An optimal fractional Hardy inequality on the discrete half-line cites this paper.
An optimal fractional Hardy inequality on the discrete half-line Optimal Poincar\'e-Hardy-type Inequalities on Manifolds and Graphs
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:13:32.431393Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 551a82f7-d3d3-49fb-a0e1-0a4593676b3a · inbound
Characterizations of $p$-Parabolicity on Graphs cites this paper.
Characterizations of $p$-Parabolicity on Graphs Optimal Poincar\'e-Hardy-type Inequalities on Manifolds and Graphs
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T04:42:04.204388Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.