Paper Citation Record · LEDGER

On Larsen's conjecture on the ranks of Elliptic Curves

As of 12 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2411.14097.

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

pith.paper-citation-record.v1
2411.14097 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:46:57.190147Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T13:36:43.206540Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

verified exact1
verified fuzzy11
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2202f754-cd6e-418d-8e31-4dd4d9a4c0fb · outbound

This paper cites Heegner points and the rank of elliptic curves over large extensions of global fields.

On Larsen's conjecture on the ranks of Elliptic Curves Heegner points and the rank of elliptic curves over large extensions of global fields

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:46:57.399958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation dee967a3-3c5f-4557-bab8-afde6709524e · outbound

This paper cites Primes of the Form x2+ ny2.

On Larsen's conjecture on the ranks of Elliptic Curves Primes of the Form x2+ ny2

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:46:57.385694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 971c7acc-bc82-4555-8d1b-dc9ccda6c538 · outbound

This paper cites Rational points on modular elliptic curves.

On Larsen's conjecture on the ranks of Elliptic Curves Rational points on modular elliptic curves

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:46:57.371156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ff819884-31ae-4665-a7db-876bbbdfdad5 · outbound

This paper cites A note on larsen's conjecture and ranks of elliptic curves.

On Larsen's conjecture on the ranks of Elliptic Curves A note on larsen's conjecture and ranks of elliptic curves

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:46:57.356487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5718c1ee-017e-4b07-a11c-5c6cf838dfb6 · outbound

This paper cites A first course in modular forms , volume 228.

On Larsen's conjecture on the ranks of Elliptic Curves A first course in modular forms , volume 228

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-12T15:46:57.154261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e72821c-56cc-4958-8d9c-4beee77996ff · outbound

This paper cites Abelian varieties over cyclic fields.

On Larsen's conjecture on the ranks of Elliptic Curves Abelian varieties over cyclic fields

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:46:57.331830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation efadfe29-a75a-4c51-bf21-48ae166c6836 · outbound

This paper cites Abelian Varieties and Finitely Generated Galois Groups.

On Larsen's conjecture on the ranks of Elliptic Curves Abelian Varieties and Finitely Generated Galois Groups

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:46:57.229230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 41bac8d6-6b77-4ffa-a8e7-2ba3db1d7e33 · outbound

This paper cites On products of quadratic twists and ranks of elliptic curves over large fields.

On Larsen's conjecture on the ranks of Elliptic Curves On products of quadratic twists and ranks of elliptic curves over large fields

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:46:57.317809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7a2879d8-02c7-4afb-a7a6-957a4aba80f2 · outbound

This paper cites Heegner points and mordell-weil groups of elliptic curves over large fields.

On Larsen's conjecture on the ranks of Elliptic Curves Heegner points and mordell-weil groups of elliptic curves over large fields

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:46:57.302632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a617fff7-3d35-4aab-95b1-d5f8e163d233 · outbound

This paper cites Rank of elliptic curves over almost separably closed fields.

On Larsen's conjecture on the ranks of Elliptic Curves Rank of elliptic curves over almost separably closed fields

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:46:57.287534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a67e4939-b977-4f7c-b579-85119bcca368 · outbound

This paper cites On the product of twists of rank two and a conjecture of larsen.

On Larsen's conjecture on the ranks of Elliptic Curves On the product of twists of rank two and a conjecture of larsen

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:46:57.273706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 608ce0f4-c046-4b8e-b557-363be1480fc5 · outbound

This paper cites On the independence of heegner points associated to distinct quadratic imaginary fields.

On Larsen's conjecture on the ranks of Elliptic Curves On the independence of heegner points associated to distinct quadratic imaginary fields

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:46:57.257647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e2844fe5-f872-47e0-a1b6-fdf0f7192404 · outbound

This paper cites On the independence of heegner points on cm elliptic curves associated to distinct quadratic imaginary fields.

On Larsen's conjecture on the ranks of Elliptic Curves On the independence of heegner points on cm elliptic curves associated to distinct quadratic imaginary fields

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:46:57.243927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation 3a0960c0-b220-4988-9c53-6f14662a6c0e · inbound

Elliptic curves and finitely generated Galois groups cites this paper.

Elliptic curves and finitely generated Galois groups On Larsen's conjecture on the ranks of Elliptic Curves

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:43.206540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.