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Paper Citation Record · LEDGER

Computing $\pi(x)$ Analytically

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1203.5712.

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

pith.paper-citation-record.v1
1203.5712 v3

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 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T14:58:17.548454Z

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 7edcd227-5b94-45ce-b74f-89e231d5d84e · inbound

Unimodular Fake Mobius Functions cites this paper.

Unimodular Fake Mobius Functions Computing $\pi(x)$ Analytically

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-03T14:58:17.548454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T14:58:17.548454Z digest=sha256:cd0cc4eb8c2e5c053d71b66b7a5dab50fd4cda8ba2acf64aa39fc3644fc83280