Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:59:23.716228Z
Paper Citation Record · LEDGER
On the Density of Prime Imbalances in the Unit Interval
As of 20 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 0 inbound Pith citation observations for arXiv:2506.12063.
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 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
4 of 4 outbound references displayed
- verified exact0
- verified fuzzy4
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 8e984bfa-3fb3-416c-8f15-92b094abf3f8 · outbound
This paper cites Bertrand, M´ emoire sur le nombre de valeurs que peut prendre une fonction quand on y permute les lettres qu’elle renferme , Journal de l’ ´Ecole Polytechnique 17 (1845), 123–140.
On the Density of Prime Imbalances in the Unit Interval Bertrand, M´ emoire sur le nombre de valeurs que peut prendre une fonction quand on y permute les lettres qu’elle renferme , Journal de l’ ´Ecole Polytechnique 17 (1845), 123–140
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:59:24.911366Z
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.
Observation 6175ed6e-4cf7-4647-9edb-e316f1e9c782 · outbound
This paper cites Hardy and E.M.
On the Density of Prime Imbalances in the Unit Interval Hardy and E.M
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:59:24.590415Z
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.
Observation e8d28e72-aaf2-4014-ba3b-8d4b8e140779 · outbound
This paper cites Apostol, Introduction to Analytic Number Theory , Springer-Verlag, 1976.
On the Density of Prime Imbalances in the Unit Interval Apostol, Introduction to Analytic Number Theory , Springer-Verlag, 1976
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:59:24.271055Z
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.
Observation 39986f84-ff7a-47ee-9614-d9bfff492aa8 · outbound
This paper cites Landau, Handbuch der Lehre von der Verteilung der Primzahlen , Teubner, Leipzig, 1909.
On the Density of Prime Imbalances in the Unit Interval Landau, Handbuch der Lehre von der Verteilung der Primzahlen , Teubner, Leipzig, 1909
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:59:23.990388Z
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.
Pith citing papers
No inbound Pith citation observations are available.