Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T17:52:37.958833Z
Paper Citation Record · LEDGER
On quadratic character sums over quartics
As of 8 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2507.09991.
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 2026-08-08T06:32:00.761636+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
12 of 12 outbound references displayed
- verified exact2
- verified fuzzy10
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 1a185c27-4e50-4371-8fd9-b024ed078c38 · outbound
This paper cites Birch: How the number of points of an elliptic curve over a fixed prime field varies, J.
On quadratic character sums over quartics Birch: How the number of points of an elliptic curve over a fixed prime field varies, J
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:52:39.759151Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9d749558-cde7-414e-9cd1-0b43403940cb · outbound
This paper cites Jacobsthal: Anwendungen einer Formel aus der Theorie der quadratischen Reste , Dissertation, Berlin, 1906.
On quadratic character sums over quartics Jacobsthal: Anwendungen einer Formel aus der Theorie der quadratischen Reste , Dissertation, Berlin, 1906
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:52:39.620599Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d305bfe9-0bb9-4b9a-ab39-ebeed0a6bc9f · outbound
This paper cites Krachun, F.
On quadratic character sums over quartics Krachun, F
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:52:39.502506Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9c3097bc-e660-4d82-a873-0e2e89529442 · outbound
This paper cites Lepr´ evost, F.
On quadratic character sums over quartics Lepr´ evost, F
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:52:39.367173Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2931ab9f-3af4-4c8b-ad01-ee52a9c71359 · outbound
This paper cites Mordell: Diophantine Equations , Academic Press 1969.
On quadratic character sums over quartics Mordell: Diophantine Equations , Academic Press 1969
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:52:39.250249Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d14ea48e-604d-4433-9469-a51b0fab36bd · outbound
This paper cites Nagao: An example of elliptic curve over Q(T ) with rank ≥ 13, Proc.
On quadratic character sums over quartics Nagao: An example of elliptic curve over Q(T ) with rank ≥ 13, Proc
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:52:39.124016Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 12efce5f-d473-4f3a-9c61-787313f78ac9 · outbound
This paper cites Nica: Jacobsthal Sums, Monographs in Number Theory, World Scientific 2025.
On quadratic character sums over quartics Nica: Jacobsthal Sums, Monographs in Number Theory, World Scientific 2025
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:52:38.957750Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 24d58302-09b0-4c4d-9e37-e39c71563ddd · outbound
This paper cites Variance of point-counts for families of cubic curves over $\mathbb{F}_p$ and Jacobsthal sums.
On quadratic character sums over quartics Variance of point-counts for families of cubic curves over $\mathbb{F}_p$ and Jacobsthal sums
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T17:52:38.290756Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 526a42f7-9d59-4011-97d5-a27e6faade56 · outbound
This paper cites Parnami, M.K.
On quadratic character sums over quartics Parnami, M.K
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:52:38.816466Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2e5947f8-047c-46f8-991b-ca1f8d7f9dff · outbound
This paper cites Rishi, J.C.
On quadratic character sums over quartics Rishi, J.C
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:52:38.661936Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0612d4cf-16d1-4876-ade2-05daffdbc4bc · outbound
This paper cites Williams: Evaluation of character sums connected with elliptic curves , Proc.
On quadratic character sums over quartics Williams: Evaluation of character sums connected with elliptic curves , Proc
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:52:38.462543Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f45d61fb-9d44-46cb-ba41-286e03735f08 · outbound
This paper cites Some interesting number theory problems.
On quadratic character sums over quartics Some interesting number theory problems
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T17:52:38.137653Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Pith citing papers
No inbound Pith citation observations are available.