Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Smooth numbers are orthogonal to nilsequences
As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2211.16892.
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 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T22:25:32.931103Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T22:25:33.166538Z
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 fac8112c-038d-48d6-a278-5898df16dac9 · inbound
Mean value theorems with smooth numbers cites this paper.
Mean value theorems with smooth numbers Smooth numbers are orthogonal to nilsequences
Reference 20
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T22:25:33.279166Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 54f64258-7c36-407c-9d1b-5932a3912a4f · inbound
Roth's Theorem in Super Smooth Numbers cites this paper.
Roth's Theorem in Super Smooth Numbers Smooth numbers are orthogonal to nilsequences
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T09:03:30.043339Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.