Paper Citation Record · LEDGER

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks

As of 12 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2502.01069.

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

pith.paper-citation-record.v1
2502.01069 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T16:59:27.403618Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

25 of 25 outbound references displayed

verified exact1
verified fuzzy20
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d4aa4b8d-3dce-4495-b661-0f3b532bd858 · outbound

This paper cites Bhargava, N.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Bhargava, N

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.700486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d1b4a422-abb1-4473-864c-5e8a90ca63e0 · outbound

This paper cites Brumer & K.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Brumer & K

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.689300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation aee10c54-d825-44e4-a1f1-a1dd0e73ee9c · outbound

This paper cites Bhargava, Z.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Bhargava, Z

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.678518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 764f4a4d-034a-41be-a5cd-c69fb80d3271 · outbound

This paper cites B \"o lling, Die Ordnung der Schafarewitsch–Tate Gruppe kann beliebig gro werden, Math.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks B \"o lling, Die Ordnung der Schafarewitsch–Tate Gruppe kann beliebig gro werden, Math

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.667451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 92eb5f11-a545-4a37-a74e-e65cdaf1daf9 · outbound

This paper cites Byeon, Class numbers of quadratic fields ( D ) and ( tD ) , Proc.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Byeon, Class numbers of quadratic fields ( D ) and ( tD ) , Proc

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.656434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ea231590-9e67-430c-8f3b-16f5d35d4df8 · outbound

This paper cites an unresolved cited work.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-09T16:59:27.645287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cd3b5dd7-89f2-4fa6-9afe-57b5a78a946b · outbound

This paper cites an unresolved cited work.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-09T16:59:27.634328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 08c78601-5e28-4a13-be74-3e5d34763e44 · outbound

This paper cites an unresolved cited work.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-09T16:59:27.624443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 92e7b842-0bb4-42bc-bddb-94958dac0e06 · outbound

This paper cites C esnavi c ius, Selmer groups and class groups, Compositio Math.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks C esnavi c ius, Selmer groups and class groups, Compositio Math

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.614509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 82e60ce4-77e8-4169-885e-b1cb6e45e41a · outbound

This paper cites Fisher, Some examples of 5 and 7 descent for elliptic curves over , J.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Fisher, Some examples of 5 and 7 descent for elliptic curves over , J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.603659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 17d12166-67f8-4734-9d93-2d7d726cb9ba · outbound

This paper cites Gras, Class Field Theory: From Theory to Practice, Springer Monograph in Math.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Gras, Class Field Theory: From Theory to Practice, Springer Monograph in Math

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.593913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b10ebca9-2bc8-4bcc-ba25-ff59b2817d48 · outbound

This paper cites Hergoltz, \" U ber einen Dirichletschen Satz, Math.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Hergoltz, \" U ber einen Dirichletschen Satz, Math

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.584110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7ec59c27-e8e5-4036-b9fe-4660bc7fa827 · outbound

This paper cites $3$-Selmer group, ideal class groups and cube sum problem.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks $3$-Selmer group, ideal class groups and cube sum problem

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-09T16:59:27.438908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 747b27cf-c9d9-485e-9ce4-d653ba66a981 · outbound

This paper cites Kramer, A family of semistable elliptic curves with large Tate–Shafarevitch groups, Proc.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Kramer, A family of semistable elliptic curves with large Tate–Shafarevitch groups, Proc

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.574048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 26c98ee3-99b3-47d1-8286-ad6601e2b43e · outbound

This paper cites Kloosterman & E.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Kloosterman & E

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.564063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b33b0763-2f40-4a43-a241-728cd1165662 · outbound

This paper cites Li, 2 -Selmer groups, 2 -class groups and rational points on elliptic curves, Trans.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Li, 2 -Selmer groups, 2 -class groups and rational points on elliptic curves, Trans

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.553071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3ee3c750-9659-47e2-8896-52368de994fd · outbound

This paper cites Mazur & K.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Mazur & K

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.542832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7f8138ff-1f5c-433f-8442-d67544c7bdb1 · outbound

This paper cites Nekov \'a r , Class numbers of quadratic fields and Shimura’s correspondence, Math.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Nekov \'a r , Class numbers of quadratic fields and Shimura’s correspondence, Math

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.531460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 39d63306-a1b9-4bd9-9349-8a3886d7c671 · outbound

This paper cites Prasad & S.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Prasad & S

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.520025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 86950aea-411d-4104-b108-43e6910b9584 · outbound

This paper cites Schaefer, Class groups and Selmer groups, J.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Schaefer, Class groups and Selmer groups, J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.509026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0d463dc6-4add-45b0-90b8-051f71118298 · outbound

This paper cites Silverman, The arithmetic of elliptic curves, GTM 106 , Springer-Verlag, New York (1986).

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Silverman, The arithmetic of elliptic curves, GTM 106 , Springer-Verlag, New York (1986)

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.497760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 17702c7f-bc97-4f97-8d2b-8a4dc27ea65f · outbound

This paper cites Silverman, Advanced topics in the arithmetic of elliptic curves, GTM 151 , Springer-Verlag, 1994.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Silverman, Advanced topics in the arithmetic of elliptic curves, GTM 151 , Springer-Verlag, 1994

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.486350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3dbfdb23-3cea-47b3-b387-4de99593b39a · outbound

This paper cites Schaefer & M.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Schaefer & M

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.475556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e19de943-3bbc-4fd3-91dc-f54f3a68e0f1 · outbound

This paper cites V \'e lu, Isog \'e nies entre courbes elliptiques, C.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks V \'e lu, Isog \'e nies entre courbes elliptiques, C

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:59:27.463921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 29099163-2033-4f01-97db-66d8fd48f94d · outbound

This paper cites an unresolved cited work.

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-09T16:59:27.452384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.