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Paper Citation Record · LEDGER

Explicit open images for elliptic curves over $\mathbb{Q}$

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2206.14959.

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

pith.paper-citation-record.v1
2206.14959 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:14:43.689294Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T01:18:26.532345Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 9cc13c75-5459-4bbe-998a-99370d97121a · inbound

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals cites this paper.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Explicit open images for elliptic curves over $\mathbb{Q}$

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-11T16:14:11.585761Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:14:11.585761Z digest=sha256:15cd3dd313158fd478e829c707f40c754b4b86370b8ca9e0af7bf0fe813558df

Observation f6d092cc-b5b5-41f2-ba27-d5a4704ad00e · inbound

A uniform bound on the smallest surjective prime of an elliptic curve cites this paper.

A uniform bound on the smallest surjective prime of an elliptic curve Explicit open images for elliptic curves over $\mathbb{Q}$

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-10T22:27:47.465952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:27:47.465952Z digest=sha256:1476ff807497cd49045969cb19a844196e11a61408007e3bac0b045e27b7f42d

Observation 91f8c285-9280-422c-a643-efdf29060489 · inbound

Curve equations from expansions of 1-forms at a nonrational point cites this paper.

Curve equations from expansions of 1-forms at a nonrational point Explicit open images for elliptic curves over $\mathbb{Q}$

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-15T20:14:43.689294Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:14:43.689294Z digest=sha256:4d70dbd5ce8b2c71ce121d52ac982cfeacc5eb66c38a49a68e0102503a1b507c

Observation 56577c2c-873d-44f7-8ddc-47d6097974b1 · inbound

Degrees of points with rational $j$-invariant on $X_{0}(n)$ and $X_{1}(n)$ cites this paper.

Degrees of points with rational $j$-invariant on $X_{0}(n)$ and $X_{1}(n)$ Explicit open images for elliptic curves over $\mathbb{Q}$

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-06T16:36:44.381814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:36:44.381814Z digest=sha256:995129c7458b52cb2fadee5790d40a2ee0d0a22cdf26ae8965e4e0cc05145505

Observation c02be389-bf7b-4d4c-86d9-e04fd38c995d · inbound

On the Density of Coprime Reductions of Elliptic Curves cites this paper.

On the Density of Coprime Reductions of Elliptic Curves Explicit open images for elliptic curves over $\mathbb{Q}$

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-05-15T01:18:26.534175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-15T01:15:27.973520Z digest=sha256:7b2a7d679587688601383e0baef4b8e6f13880842b587e389dfbcbd5f4957ec6

Observation 106bf6ad-d459-43b4-af4d-832487971d21 · inbound

The Smallest Invariant Factor of Elliptic Curves, and Coincidences cites this paper.

The Smallest Invariant Factor of Elliptic Curves, and Coincidences Explicit open images for elliptic curves over $\mathbb{Q}$

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-11T18:41:11.878824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-08T14:19:25.072370Z digest=sha256:3d647da7ce980302b6077f8174a26d6fc73aa3c777c69ff58ad3b4b715a2d540

Observation 78e3bbd0-e1fe-49d3-8143-982cefe0daba · inbound

Non-split Cartan curves and a characterization of fake elliptic curves cites this paper.

Non-split Cartan curves and a characterization of fake elliptic curves Explicit open images for elliptic curves over $\mathbb{Q}$

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-05T05:44:30.798626Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T05:44:30.798626Z digest=sha256:e22285ab6c0141d4c155d99bda2898524a3ddd85bdeafd85d6e0c67f53bb1e5c

Observation f865f5bc-f809-4bcc-839a-f1d92587ace3 · inbound

Equationless quadratic Chabauty for non-split Cartan modular curves cites this paper.

Equationless quadratic Chabauty for non-split Cartan modular curves Explicit open images for elliptic curves over $\mathbb{Q}$

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-12T14:20:28.962780Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T14:20:28.962780Z digest=sha256:3305584a1bc9bb71cf9b44540ebabdcb5510aa2120e83aaefcdaf620a2bb03c1