Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Computing $\pi(N)$: An elementary approach in $\tilde{O}(\sqrt{N})$ time
As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2212.09857.
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 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:44:28.279284Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-09T07:06:02.934790Z
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 b7382f74-ce42-4f46-b66b-8e8d8dbabb7c · inbound
Computation of the Totient Summatory Function cites this paper.
Computation of the Totient Summatory Function Computing $\pi(N)$: An elementary approach in $\tilde{O}(\sqrt{N})$ time
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:44:28.279284Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c17741b9-d977-4afc-b912-86460bad7a67 · inbound
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ cites this paper.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ Computing $\pi(N)$: An elementary approach in $\tilde{O}(\sqrt{N})$ time
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-07-09T07:06:02.936771Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.