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Paper Citation Record · LEDGER

Sparse Bounds for the Discrete Cubic Hilbert Transform

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1612.08881.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1612.08881 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 1 of 1 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:33:58.608387Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-14T04:33:58.968958Z

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 11f55e74-3be8-47de-a7d1-bbae61d0959b · 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 Sparse Bounds for the Discrete Cubic Hilbert Transform

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:33:58.972340Z

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.

source=pdf_text observed=2026-08-14T04:33:58.608387Z digest=sha256:b7b732ad936098c6cf60c38aad4be756305ea697d5b41245b6584a3aaa91c29b