Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Lacunary Discrete Spherical Maximal Functions
As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1810.12344.
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 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T04:33:58.673934Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-22T03:24:34.241461Z
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 6a049d80-cc6a-4441-94d6-2f4b19d06140 · inbound
A conjecture for arithmetic spherical maximal functions cites this paper.
A conjecture for arithmetic spherical maximal functions Lacunary Discrete Spherical Maximal Functions
Reference 12
- Resolution
- verified exact
- arxiv_id, observed 2026-05-22T03:24:34.245130Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2d76ef94-912f-48c9-8712-ff520ecab0da · inbound
Sharp $\ell^p$-Improving Estimates for Fixed-Radius Discrete Spherical Averages cites this paper.
Sharp $\ell^p$-Improving Estimates for Fixed-Radius Discrete Spherical Averages Lacunary Discrete Spherical Maximal Functions
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:33:58.673934Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.