Paper Citation Record · LEDGER

The size of $2$-Selmer groups for the $\frac{\pi}{3}$-congruent number problem

As of 7 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2602.08912.

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

pith.paper-citation-record.v1
2602.08912 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T03:14:59.625917Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

12 of 12 outbound references displayed

verified exact0
verified fuzzy0
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 37470985-4439-4157-adbd-a75f5e294cd7 · outbound

This paper cites Bhargava, D.

The size of $2$-Selmer groups for the $\frac{\pi}{3}$-congruent number problem Bhargava, D

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T03:14:59.578455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ee01bcb-a4aa-480c-80b8-13dbd383ddbb · outbound

This paper cites Quadratic twists of tiling number elliptic curves.

The size of $2$-Selmer groups for the $\frac{\pi}{3}$-congruent number problem Quadratic twists of tiling number elliptic curves

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T03:14:59.582774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e89bde37-6a99-44ee-b474-7dee38bde56e · outbound

This paper cites Fujiwara, -congruent numbers , Number theory (Eger, 1996), 235–241.

The size of $2$-Selmer groups for the $\frac{\pi}{3}$-congruent number problem Fujiwara, -congruent numbers , Number theory (Eger, 1996), 235–241

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T03:14:59.587690Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 955b8e84-d513-46c4-baeb-585133b333f7 · outbound

This paper cites HeathBrown, The size of Selmer groups for the congruent number problem , Invent.

The size of $2$-Selmer groups for the $\frac{\pi}{3}$-congruent number problem HeathBrown, The size of Selmer groups for the congruent number problem , Invent

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T03:14:59.591818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02e3162b-505d-45d1-be2a-d7e511074689 · outbound

This paper cites HeathBrown, The size of Selmer groups for the congruent number problem II , Invent.

The size of $2$-Selmer groups for the $\frac{\pi}{3}$-congruent number problem HeathBrown, The size of Selmer groups for the congruent number problem II , Invent

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T03:14:59.596310Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00f0ca4b-5f3c-4f0b-a54c-8a9831603e1c · outbound

This paper cites an unresolved cited work.

The size of $2$-Selmer groups for the $\frac{\pi}{3}$-congruent number problem Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T03:14:59.600526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e8b1cd4-3554-4f55-b6d1-5d1d7e890342 · outbound

This paper cites Science in China(Series A).

The size of $2$-Selmer groups for the $\frac{\pi}{3}$-congruent number problem Science in China(Series A)

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T03:14:59.604696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ab62e90-b552-4f22-ba84-a530c7280efc · outbound

This paper cites an unresolved cited work.

The size of $2$-Selmer groups for the $\frac{\pi}{3}$-congruent number problem Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T03:14:59.609330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25e71076-9c2f-48e9-a403-e5adadb60013 · outbound

This paper cites $2^\infty$-Selmer groups, $2^\infty$-class groups, and Goldfeld's conjecture.

The size of $2$-Selmer groups for the $\frac{\pi}{3}$-congruent number problem $2^\infty$-Selmer groups, $2^\infty$-class groups, and Goldfeld's conjecture

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T03:14:59.613297Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b7b53cf-4fa3-45cf-a5d5-8871f993ced3 · outbound

This paper cites an unresolved cited work.

The size of $2$-Selmer groups for the $\frac{\pi}{3}$-congruent number problem Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T03:14:59.617668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19bd51ef-df63-4eb7-a55c-db698b5db385 · outbound

This paper cites Yoshida, Some variants of the congruent number problem I, II , Kyushu J.

The size of $2$-Selmer groups for the $\frac{\pi}{3}$-congruent number problem Yoshida, Some variants of the congruent number problem I, II , Kyushu J

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T03:14:59.621767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 996d2de5-1888-4f83-b245-1400178aa32e · outbound

This paper cites The rank of 2-Selmer group associate to $\theta$-congruent numbers.

The size of $2$-Selmer groups for the $\frac{\pi}{3}$-congruent number problem The rank of 2-Selmer group associate to $\theta$-congruent numbers

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T03:14:59.625917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.