Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
The average number of elements in the 4-Selmer groups of elliptic curves is 7
As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:1312.7333.
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 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-16T05:23:01.419282Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-01T11:45:47.010391Z
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 0d777d03-98f5-4ba1-9301-292f2664ce98 · inbound
Squarefree discriminants of polynomials with prime coefficients cites this paper.
Squarefree discriminants of polynomials with prime coefficients The average number of elements in the 4-Selmer groups of elliptic curves is 7
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T20:00:25.469482Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0e95ad52-0304-493b-88cd-833d786df14f · inbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication cites this paper.
Quadratic spaces and Selmer groups of abelian varieties with multiplication The average number of elements in the 4-Selmer groups of elliptic curves is 7
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T05:23:01.419282Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 34fc9206-b9d5-43fc-8fe9-379595eb9cae · inbound
The second moment of the size of the $2$-class group of monogenized cubic fields cites this paper.
The second moment of the size of the $2$-class group of monogenized cubic fields The average number of elements in the 4-Selmer groups of elliptic curves is 7
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:36:25.197000Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 852d0449-5097-4da8-b520-8b59f456c27e · inbound
Selmer groups of families of elliptic curves with an $\ell$-isogeny cites this paper.
Selmer groups of families of elliptic curves with an $\ell$-isogeny The average number of elements in the 4-Selmer groups of elliptic curves is 7
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T14:29:38.668919Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 78f12e84-b41b-43d8-b801-30665e0447f3 · inbound
Geometry-of-numbers methods over global fields II: Coregular representations cites this paper.
Geometry-of-numbers methods over global fields II: Coregular representations The average number of elements in the 4-Selmer groups of elliptic curves is 7
Reference 11
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T06:51:46.360298Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e867ea79-4152-4983-927d-5b166b82eb8a · inbound
Tamagawa ratios and unbounded Selmer moments cites this paper.
Tamagawa ratios and unbounded Selmer moments The average number of elements in the 4-Selmer groups of elliptic curves is 7
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-07-01T11:45:47.011693Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c9fc0437-faa2-4ab4-9f64-ef8e96841f3c · inbound
Exact classification of elliptic curves $y^{2}=x^{3}-pqx$ with rank $0$ and trivial $\Sha[2]$ cites this paper.
Exact classification of elliptic curves $y^{2}=x^{3}-pqx$ with rank $0$ and trivial $\Sha[2]$ The average number of elements in the 4-Selmer groups of elliptic curves is 7
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T03:18:40.499257Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.