Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
The Riemann hypothesis is true up to $3\cdot 10^{12}$
As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2004.09765.
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 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T08:06:03.555565Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-14T15:40:35.709142Z
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 a51e9a82-71bf-430e-a69f-97ce83e10d6a · inbound
Explicit formula for the discrete Laplace transform of the M\"obius function, related special functions, and a criterion for the Riemann hypothesis cites this paper.
Explicit formula for the discrete Laplace transform of the M\"obius function, related special functions, and a criterion for the Riemann hypothesis The Riemann hypothesis is true up to $3\cdot 10^{12}$
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-07-14T15:40:35.713849Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 10689074-145a-4132-9d37-7bd8a34fa7d9 · inbound
Explicit formula for the discrete Laplace transform of the M\"obius function, related special functions, and a criterion for the Riemann hypothesis cites this paper.
Explicit formula for the discrete Laplace transform of the M\"obius function, related special functions, and a criterion for the Riemann hypothesis The Riemann hypothesis is true up to $3\cdot 10^{12}$
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T08:06:03.555565Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0348aa20-0d3b-4662-aaec-0dd7578ebad4 · inbound
An explicit uniform cubic wedge for consecutive Toeplitz minors of the Riemann xi coefficients cites this paper.
An explicit uniform cubic wedge for consecutive Toeplitz minors of the Riemann xi coefficients The Riemann hypothesis is true up to $3\cdot 10^{12}$
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T20:10:57.089548Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.