Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T14:13:22.937124Z
Paper Citation Record · LEDGER
The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function
As of 13 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2505.23795.
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
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
15 of 15 outbound references displayed
- verified exact1
- verified fuzzy5
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 07b3ea51-bee5-4bb8-a76e-ecb735b8083b · outbound
This paper cites The av- erage number of Goldbach representations and zero-free region s of the Riemann zeta function.
The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function The av- erage number of Goldbach representations and zero-free region s of the Riemann zeta function
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:13:25.665323Z
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 b2e86d77-7e14-4331-b65a-8c710ffc5f62 · outbound
This paper cites an unresolved cited work.
The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T14:13:25.543342Z
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 089d39a3-d758-46ce-8332-f12957825a2e · outbound
This paper cites Goldston and Ade Irma Suriajaya.
The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function Goldston and Ade Irma Suriajaya
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:13:25.406308Z
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 0261f3f3-60cb-437e-8370-f482e4bf9c11 · outbound
This paper cites an unresolved cited work.
The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T14:13:25.258318Z
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 cb2d774f-0786-4778-bd82-e3e1af7a09c8 · outbound
This paper cites an unresolved cited work.
The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T14:13:25.105196Z
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 ef40939b-a5c6-458e-a690-e4ee88c169de · outbound
This paper cites an unresolved cited work.
The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T14:13:24.914553Z
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 05d8d43a-d9ac-4d3a-8cdd-e1a263b32516 · outbound
This paper cites an unresolved cited work.
The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T14:13:24.714761Z
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 d6cdece5-930c-4a27-9f9d-e9142b7cedd0 · outbound
This paper cites The number o f Goldbach represen- tations of an integer.
The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function The number o f Goldbach represen- tations of an integer
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:13:24.509453Z
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 441b74bc-bf01-4d55-9f55-8e53b3b06fba · outbound
This paper cites Sums of many primes.
The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function Sums of many primes
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:13:24.413602Z
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 0b20d768-a5c2-45a6-a465-39d51a1c1839 · outbound
This paper cites Montgomery and Robert C.
The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function Montgomery and Robert C
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:13:24.172442Z
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 fa2d856e-2901-494b-85d7-7b6258d648f2 · outbound
This paper cites Goldbach Representations with several primes.
The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function Goldbach Representations with several primes
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T14:13:23.117483Z
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 9192c06a-ef68-46af-9e7f-c00ae22405e9 · outbound
This paper cites an unresolved cited work.
The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T14:13:23.965760Z
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 ff56e3af-0972-4bb4-9736-561648a31d92 · outbound
This paper cites an unresolved cited work.
The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T14:13:23.692707Z
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 f84f810d-39c3-4a66-8fdf-1965520a056b · outbound
This paper cites an unresolved cited work.
The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T14:13:23.514474Z
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 78d49ad0-3438-4402-9ec4-b5234171044b · outbound
This paper cites an unresolved cited work.
The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T14:13:23.303535Z
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.
Pith citing papers
No inbound Pith citation observations are available.