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Paper Citation Record · LEDGER

Prime order torsion on elliptic curves over number fields. Part I: Asymptotics

As of 23 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2505.14109.

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

pith.paper-citation-record.v1
2505.14109 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:44:30.585437Z

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

7 of 7 outbound references displayed

  • verified exact2
  • verified fuzzy1
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bd9a3414-2081-4330-95f5-dbcb7b0dbbe3 · outbound

This paper cites an unresolved cited work.

Prime order torsion on elliptic curves over number fields. Part I: Asymptotics Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T15:44:29.864892Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:44:29.864892Z digest=sha256:7d4d07502886857d6972d9acef99e814fe9c1e498376448fea9503ffff436754

Observation 4a5807a9-7e94-4783-96e4-1579a196130e · outbound

This paper cites ↑1 [DI95] Fred Diamond and John Im, Modular forms and modular curves , Seminar on Fermat’s Last Theorem (Toronto, ON, 1993), CMS Conf.

Prime order torsion on elliptic curves over number fields. Part I: Asymptotics ↑1 [DI95] Fred Diamond and John Im, Modular forms and modular curves , Seminar on Fermat’s Last Theorem (Toronto, ON, 1993), CMS Conf

Reference 4

Resolution
verified exact
raw_fallback, observed 2026-08-07T15:44:32.035201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:44:30.255150Z digest=sha256:98703b05e37e92cc77dc8e78b24f436420ab73e4c68c0a0b6d67291ca0239404

Observation 821abaca-36a7-41dc-8a62-40d6884044ed · outbound

This paper cites 68 (1988), no.

Prime order torsion on elliptic curves over number fields. Part I: Asymptotics 68 (1988), no

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:44:33.400480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:44:30.439566Z digest=sha256:15215235ac704a78c1bdd76c126de5667ae1f22a5f020df7d710c55668f93900

Observation 6313bc81-d878-463f-a79b-5e9f6ca439b4 · outbound

This paper cites Low Degree Places on the Modular Curve X1(N).

Prime order torsion on elliptic curves over number fields. Part I: Asymptotics Low Degree Places on the Modular Curve X1(N)

Reference 2014

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T15:44:31.443436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:44:30.365056Z digest=sha256:fcb39b49afb1bd56608182ac4ef450c509e1173a9455c4936d9ab7d42303f5d5

Observation 939ded26-1bc8-4a56-baac-dcbb8c4c0e41 · outbound

This paper cites Generators of the group of modular units for Gamma1(N) over the rationals.

Prime order torsion on elliptic curves over number fields. Part I: Asymptotics Generators of the group of modular units for Gamma1(N) over the rationals

Reference 2019

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:44:31.054856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:44:30.585437Z digest=sha256:bfbe3ff82584c70033a9c147847628c6aa631b2241e605a08d10ce04a906ad2a

Observation 6770d775-2657-48c6-afd0-2691a24ca5dd · outbound

This paper cites Counting modular forms by rationality field.

Prime order torsion on elliptic curves over number fields. Part I: Asymptotics Counting modular forms by rationality field

Reference 2024

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T15:44:32.804916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:44:30.026307Z digest=sha256:fe4954e87f8bea55340c6d46795776ae1f4620674727f237ca1ac92353dedf11

Observation 9e1f07c3-5f23-46f2-a817-dc268e1b50ab · outbound

This paper cites On Some Open Cases of a Conjecture of Conrad, Edixhoven and Stein.

Prime order torsion on elliptic curves over number fields. Part I: Asymptotics On Some Open Cases of a Conjecture of Conrad, Edixhoven and Stein

Reference 2025

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T15:44:32.394773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:44:30.145581Z digest=sha256:6f8475200960bf1f0edd7f7db98e16229f319bf170b01a5fc8e503129f58cc6a

Pith citing papers

No inbound Pith citation observations are available.