Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T23:51:05.281125Z
Paper Citation Record · LEDGER
Normality of algebraic numbers and the Riemann zeta function
As of 23 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2412.02337.
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 2026-08-23T06:30:58.430688+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
15 of 15 outbound references displayed
- verified exact1
- verified fuzzy6
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b78d11dc-f211-4cb0-8964-6c2af6a4b702 · outbound
This paper cites an unresolved cited work.
Normality of algebraic numbers and the Riemann zeta function Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T23:51:05.542919Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0a529474-1ad2-43c0-8d1d-488549f9848d · outbound
This paper cites Bailey, Jonathan M.
Normality of algebraic numbers and the Riemann zeta function Bailey, Jonathan M
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:51:05.528235Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 86d7d877-dfba-412b-9857-8ee4942e9f25 · outbound
This paper cites \'E mile Borel, Les probabilit \'e s d \'e nombrables et leurs applications arithm \'e tiques , Rend.
Normality of algebraic numbers and the Riemann zeta function \'E mile Borel, Les probabilit \'e s d \'e nombrables et leurs applications arithm \'e tiques , Rend
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:51:05.513666Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 456364d0-2334-4df5-9f7d-473bf96ae694 · outbound
This paper cites an unresolved cited work.
Normality of algebraic numbers and the Riemann zeta function Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T23:51:05.498497Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 04d1b433-abef-4a82-9639-006c911b6c63 · outbound
This paper cites an unresolved cited work.
Normality of algebraic numbers and the Riemann zeta function Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T23:51:05.483215Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d2f1958e-8273-4c5f-873a-9defe35eafed · outbound
This paper cites an unresolved cited work.
Normality of algebraic numbers and the Riemann zeta function Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T23:51:05.468368Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 01a7de97-88e2-4e2b-8579-1b29b0303ce3 · outbound
This paper cites Graham and G.
Normality of algebraic numbers and the Riemann zeta function Graham and G
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:51:05.453224Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d8c30f8c-294f-4e17-89a0-6d4adb9a6ce1 · outbound
This paper cites an unresolved cited work.
Normality of algebraic numbers and the Riemann zeta function Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T23:51:05.438173Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 31a7134f-671a-42fc-a84d-1384c575d452 · outbound
This paper cites Kuipers and H.
Normality of algebraic numbers and the Riemann zeta function Kuipers and H
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:51:05.423133Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 519d9838-f364-4443-83a8-473a417af1ad · outbound
This paper cites The simple normality of the fractional powers of two and the Riemann zeta function.
Normality of algebraic numbers and the Riemann zeta function The simple normality of the fractional powers of two and the Riemann zeta function
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T23:51:05.324454Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6004c7be-0ca9-4518-b33f-1ece87defccc · outbound
This paper cites an unresolved cited work.
Normality of algebraic numbers and the Riemann zeta function Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T23:51:05.405784Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 43c09274-e608-47e3-a4f8-9897d0c2b32e · outbound
This paper cites Mahler, On the fractional parts of the powers of a rational number ( I -1pt I ) , Mathematica 4 (1957), 122--124.
Normality of algebraic numbers and the Riemann zeta function Mahler, On the fractional parts of the powers of a rational number ( I -1pt I ) , Mathematica 4 (1957), 122--124
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:51:05.389871Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 58ad83d5-8948-4387-9274-5657dc58211c · outbound
This paper cites an unresolved cited work.
Normality of algebraic numbers and the Riemann zeta function Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T23:51:05.374490Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0fe01b89-4e3e-4ae6-89b2-15c2284a68bb · outbound
This paper cites Ridout, Rational approximations to algebraic numbers, Mathematika 4 (1957), 125--131.
Normality of algebraic numbers and the Riemann zeta function Ridout, Rational approximations to algebraic numbers, Mathematika 4 (1957), 125--131
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T23:51:05.357576Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 873ffff4-1351-4d41-ab68-0fc9351f5b70 · outbound
This paper cites an unresolved cited work.
Normality of algebraic numbers and the Riemann zeta function Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T23:51:05.341622Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Pith citing papers
No inbound Pith citation observations are available.