Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:05:02.302842Z
Paper Citation Record · LEDGER
Rank one elliptic curves and rank stability
As of 13 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 2 inbound Pith citation observations for arXiv:2505.16960.
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 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-19T13:06:11.119310Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-19T13:07:18.126489Z
Reference resolution
4 of 4 outbound references displayed
- verified exact1
- verified fuzzy0
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 2d5a21e8-fbfc-4881-9337-2300d9c8305e · outbound
This paper cites Rank stability in quadratic extensions and Hilbert's tenth problem for the ring of integers of a number field.
Rank one elliptic curves and rank stability Rank stability in quadratic extensions and Hilbert's tenth problem for the ring of integers of a number field
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T15:05:02.044849Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8a900e69-327f-4bc9-a015-bcc31b031bb3 · outbound
This paper cites On conjectures of Birch and Swinnerton- Dyer, J.
Rank one elliptic curves and rank stability On conjectures of Birch and Swinnerton- Dyer, J
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T15:05:02.087392Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c7fcc5b0-3342-46c5-bdd0-ca1bdb2c91db · outbound
This paper cites an unresolved cited work.
Rank one elliptic curves and rank stability Unresolved cited work
Reference 1999
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T15:05:02.200806Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3df9a43-dcf7-47f7-8bf3-b4153c86f575 · outbound
This paper cites An elliptic surface with infinitely many fibers for which the rank does not jump.
Rank one elliptic curves and rank stability An elliptic surface with infinitely many fibers for which the rank does not jump
Reference 2009
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T15:05:02.435024Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Pith citing papers
Observation 9a33b257-0306-4323-990c-f84243e3d79d · inbound
Infinitely many hyperelliptic curves of small genus and small fixed rank, and of any genus and rank two cites this paper.
Infinitely many hyperelliptic curves of small genus and small fixed rank, and of any genus and rank two Rank one elliptic curves and rank stability
Reference 14
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T13:07:18.129530Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 97613c01-e497-40e8-9166-c5931466c984 · inbound
On Cohesive Products of Fields cites this paper.
On Cohesive Products of Fields Rank one elliptic curves and rank stability
Reference 38
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-11T08:11:04.547941Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.