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Paper Citation Record · LEDGER

On the number of $k$th powers inside arithmetic progressions

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1811.11919.

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

pith.paper-citation-record.v1
1811.11919 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 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T22:10:08.475570Z

measured 0 of 1 external citation measurements

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

Source: cited_works

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 f0adfaa7-ec36-4693-99f7-c230d8b77642 · inbound

A comment on the number of $k$-th powers inside arithmetic progressions cites this paper.

A comment on the number of $k$-th powers inside arithmetic progressions On the number of $k$th powers inside arithmetic progressions

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T22:10:08.475570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T22:10:08.475570Z digest=sha256:f899357a4b4e493b5c95205686df694d0918e53ae95b4e2d3496f95ecca67a66