Paper Citation Record · LEDGER

An elliptic surface with infinitely many fibers for which the rank does not jump

As of 13 August 2026, this Paper Citation Record lists 3 of 3 outbound references and 2 inbound Pith citation observations for arXiv:2502.01026.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2502.01026 v1

Coverage vector

measured 3 of 3 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T17:13:28.111457Z

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T14:06:57.047627Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T15:05:02.385194Z

Reference resolution

3 of 3 outbound references displayed

verified exact3
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a4d03a5c-0a79-495f-937e-7e02ba1a68bc · outbound

This paper cites an unresolved cited work.

An elliptic surface with infinitely many fibers for which the rank does not jump Unresolved cited work

Reference 1

Resolution: verified exact; doi, observed 2026-08-09T17:13:28.169165Z

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 a73791c8-8cc4-4d77-b452-685fbe0a455b · outbound

This paper cites On conjectures of Birc h and Swinnerton- Dyer, J.

An elliptic surface with infinitely many fibers for which the rank does not jump On conjectures of Birc h and Swinnerton- Dyer, J

Reference 2

Resolution: verified exact; doi, observed 2026-08-09T17:13:28.157033Z

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 793904a3-d912-4664-9b9f-5571e49c9404 · outbound

This paper cites Reine Angew.

An elliptic surface with infinitely many fibers for which the rank does not jump Reine Angew

Reference 1994

Resolution: verified exact; doi, observed 2026-08-09T17:13:28.143691Z

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 f886fae5-5c7a-45d4-b483-f8294f555d4b · inbound

There are infinitely many elliptic curves over the rationals of rank 2 cites this paper.

There are infinitely many elliptic curves over the rationals of rank 2 An elliptic surface with infinitely many fibers for which the rank does not jump

Reference 1994

Resolution: unresolved; no resolver link, observed 2026-08-09T14:06:57.047627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f3df9a43-dcf7-47f7-8bf3-b4153c86f575 · inbound

Rank one elliptic curves and rank stability cites this paper.

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.