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Paper Citation Record · LEDGER

Sporadic points of odd degree on $X_1(N)$ coming from $\mathbb{Q}$-curves

As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2107.10909.

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

pith.paper-citation-record.v1
2107.10909 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:45:24.990703Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T22:45:50.683547Z

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 da06f579-2e00-4f16-9d6d-a197679a7102 · inbound

Minimal torsion curves in geometric isogeny classes cites this paper.

Minimal torsion curves in geometric isogeny classes Sporadic points of odd degree on $X_1(N)$ coming from $\mathbb{Q}$-curves

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-23T22:45:50.686681Z

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=2026-05-23T22:45:05.501712Z digest=sha256:31d84922f1fc5cf4f721951b93d0b9555f37f27e5cc790a62f61aff3bd36da75

Observation 2424d9b9-b5fc-4cd1-9e37-c52177b3de32 · inbound

Rational isolated $j$-invariants from $X_1(\ell^n)$ and $X_0(\ell^n)$ cites this paper.

Rational isolated $j$-invariants from $X_1(\ell^n)$ and $X_0(\ell^n)$ Sporadic points of odd degree on $X_1(N)$ coming from $\mathbb{Q}$-curves

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T18:45:24.990703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:45:24.990703Z digest=sha256:ff36f905f0b49356bcceadc6dd3868bd0c93ba00029a992b1abd0aa84cc07a99

Observation e100f198-6a26-4f21-ac4c-1b280dccb082 · inbound

Computing the Level of a Fiber for Points on Modular Curves cites this paper.

Computing the Level of a Fiber for Points on Modular Curves Sporadic points of odd degree on $X_1(N)$ coming from $\mathbb{Q}$-curves

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-05T16:57:12.345550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T16:57:12.345550Z digest=sha256:4f5a6cdd52190685c66c0fcb6213639f135e64a014ef7cc0b38f2118bad3e245

Observation 7d4473e5-b5ef-4a22-9af9-78d742e64b26 · inbound

Isogeny graphs of elliptic curves in characteristic zero cites this paper.

Isogeny graphs of elliptic curves in characteristic zero Sporadic points of odd degree on $X_1(N)$ coming from $\mathbb{Q}$-curves

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-04T06:18:53.417134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T06:18:53.417134Z digest=sha256:7ed6af1a1ce157a8b9d00e8eada9fb713829fe27c837656a7c8131ba7220a206