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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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T15:44:30.255150Z digest=sha256:3b46cce47c27b8272bf801fda4cdc4cffd5542f640bfd37ffed98cce8885562d

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T15:44:30.439566Z digest=sha256:907475c6c2f4d5d9a91112d08959c26d1d66256d2003e9ab9851b2e99e4639be

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T15:44:30.365056Z digest=sha256:aad7776b39743c1af641d9bdaf1fcb60572cf2197a6ed710a77a3097a10be129

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T15:44:30.585437Z digest=sha256:2fcba01d336f269b24d79f399162f746aec800909d020e18d9370b9557ec3116

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T15:44:30.026307Z digest=sha256:9ef2de4491406bee7bb044313a200d228b028fe2e600ecdb63768af370b580e3

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T15:44:30.145581Z digest=sha256:6b83a5cbe615e82d5d8290fd3ecd9af59b915be7327f1fb2bac4588483baf11a

Pith citing papers

No inbound Pith citation observations are available.