Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Murmurations and ratios conjectures
As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2408.12723.
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, observed 2026-08-07T11:42:31.829521Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-15T02:49:41.592086Z
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 ede49ab1-31f1-419c-8e38-7c3b7f86939c · inbound
On Murmurations and Trace Formulas cites this paper.
On Murmurations and Trace Formulas Murmurations and ratios conjectures
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:42:31.829521Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 375b44fb-8ffa-41be-9eb0-4c5a33ae6e93 · inbound
Computer vision and converse theorems cites this paper.
Computer vision and converse theorems Murmurations and ratios conjectures
Reference 21
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T10:04:06.197175Z
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 3fa25a37-7e36-46ee-bf75-9fb1c827baa0 · inbound
How Twist Class Redundancy Drives the Prediction of Traces of Frobenius of Elliptic Curves cites this paper.
How Twist Class Redundancy Drives the Prediction of Traces of Frobenius of Elliptic Curves Murmurations and ratios conjectures
Reference 12
- Resolution
- verified exact
- arxiv_id, observed 2026-05-15T02:49:41.593953Z
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 309c8c94-f097-4380-ba5b-d0d940e263f1 · inbound
Joint level-weight murmurations: prime averaging and the cubic pointwise range cites this paper.
Joint level-weight murmurations: prime averaging and the cubic pointwise range Murmurations and ratios conjectures
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T08:01:23.908693Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.