Paper Citation Record · LEDGER

Relative $p$-class groups and $p$-Selmer groups

As of 13 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2412.13022.

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

pith.paper-citation-record.v1
2412.13022 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:37:46.767065Z

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 fuzzy13
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 83fece22-d5fc-40d0-a472-5a07a87536a0 · outbound

This paper cites Bilu and J.

Relative $p$-class groups and $p$-Selmer groups Bilu and J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:37:47.244119Z

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 a7eef667-b5e7-4f81-aa41-8e98fca07b17 · outbound

This paper cites Number Theory 42 (1992), no.

Relative $p$-class groups and $p$-Selmer groups Number Theory 42 (1992), no

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:37:47.227789Z

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 5546845b-05eb-4017-9b9e-771b54ec1719 · outbound

This paper cites an unresolved cited work.

Relative $p$-class groups and $p$-Selmer groups Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:37:47.211098Z

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 14a76176-b2df-452c-9c97-258d2f02ab1b · outbound

This paper cites an unresolved cited work.

Relative $p$-class groups and $p$-Selmer groups Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:37:47.194170Z

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 4d64bd62-589d-41fd-b86b-4f6691c0ad3f · outbound

This paper cites Coates and A.

Relative $p$-class groups and $p$-Selmer groups Coates and A

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:37:47.177292Z

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 b5cbb882-d470-494e-ae8c-73836ca56d1f · outbound

This paper cites Faltings, Endlichkeitssätze für abelsche varietäten über zahlkörpern, Inventiones Mathematicae 73 (1983), no.

Relative $p$-class groups and $p$-Selmer groups Faltings, Endlichkeitssätze für abelsche varietäten über zahlkörpern, Inventiones Mathematicae 73 (1983), no

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:37:47.159892Z

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 72f31039-fc4f-458e-856a-cea63bce2fba · outbound

This paper cites Greaves, Power-free values of binary forms, Quarterly Journal of Mathematics, Oxford Series (2) 43 (1992), no.

Relative $p$-class groups and $p$-Selmer groups Greaves, Power-free values of binary forms, Quarterly Journal of Mathematics, Oxford Series (2) 43 (1992), no

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:37:47.144363Z

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 26209f99-5772-4faf-aeaf-76a3b1f07798 · outbound

This paper cites an unresolved cited work.

Relative $p$-class groups and $p$-Selmer groups Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:37:47.128186Z

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 1aeef237-15af-4825-b9d9-42f8f8b24c7c · outbound

This paper cites an unresolved cited work.

Relative $p$-class groups and $p$-Selmer groups Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:37:47.111610Z

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 d6fdc9d9-7872-4996-8c71-3f86be8a1d5d · outbound

This paper cites Algebra 188 (1997), no.

Relative $p$-class groups and $p$-Selmer groups Algebra 188 (1997), no

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:37:47.093241Z

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 d29b7a62-b1d5-4df3-8775-e8defca97125 · outbound

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

Relative $p$-class groups and $p$-Selmer groups $3$-Selmer group, ideal class groups and cube sum problem

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T13:37:46.687972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db3d4802-d742-4117-a27e-c30a21c90030 · outbound

This paper cites Binary Cubic Forms and Rational Cube Sum Problem.

Relative $p$-class groups and $p$-Selmer groups Binary Cubic Forms and Rational Cube Sum Problem

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:37:46.818660Z

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 64db18ee-7c3e-486d-8e0f-61c47504c571 · outbound

This paper cites Kihara, On the rank of the elliptic curve $y^2 = x^3 + kx$.

Relative $p$-class groups and $p$-Selmer groups Kihara, On the rank of the elliptic curve $y^2 = x^3 + kx$

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:37:47.074994Z

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 eecb4b92-9b9b-40a6-9381-f1754c5673e1 · outbound

This paper cites an unresolved cited work.

Relative $p$-class groups and $p$-Selmer groups Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:37:47.058908Z

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 844c9df2-47b4-4fbc-8f5e-7985750a9136 · outbound

This paper cites an unresolved cited work.

Relative $p$-class groups and $p$-Selmer groups Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:37:47.042513Z

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 29b70fda-5d9d-4e4a-95ef-d361cf91ad04 · outbound

This paper cites Liverance, A formula for the root number of a family of elliptic curves, Journal of Number Theory 51 (1995), no.

Relative $p$-class groups and $p$-Selmer groups Liverance, A formula for the root number of a family of elliptic curves, Journal of Number Theory 51 (1995), no

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:37:47.023592Z

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 f421704f-40ce-4332-9175-c16d1681f580 · outbound

This paper cites Mestre, Rang de courbes elliptiques d’invariant donné, C.

Relative $p$-class groups and $p$-Selmer groups Mestre, Rang de courbes elliptiques d’invariant donné, C

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:37:47.005876Z

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 020afefe-edda-4743-80f8-5979697ec566 · outbound

This paper cites 2, 353--373.

Relative $p$-class groups and $p$-Selmer groups 2, 353--373

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:37:46.987187Z

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 349ea0f0-05b4-4098-8b08-72c8b37b2d11 · outbound

This paper cites an unresolved cited work.

Relative $p$-class groups and $p$-Selmer groups Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:37:46.967825Z

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 b1381b95-fe46-439b-bbe8-8f8d9d4409b4 · outbound

This paper cites Rubin, Descents on elliptic curves with complex multiplication, S\' e minaire de T h\' e orie des N ombres, P aris 1985--86, Progr.

Relative $p$-class groups and $p$-Selmer groups Rubin, Descents on elliptic curves with complex multiplication, S\' e minaire de T h\' e orie des N ombres, P aris 1985--86, Progr

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:37:46.949635Z

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 7fcb8583-7b88-447e-a641-91220630a243 · outbound

This paper cites an unresolved cited work.

Relative $p$-class groups and $p$-Selmer groups Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:37:46.928903Z

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 2675b03e-a03f-4f0d-9761-5d70414b9ec7 · outbound

This paper cites an unresolved cited work.

Relative $p$-class groups and $p$-Selmer groups Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:37:46.910083Z

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 97dfef76-e4b1-47d4-8f45-6d9f4c356264 · outbound

This paper cites an unresolved cited work.

Relative $p$-class groups and $p$-Selmer groups Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:37:46.893068Z

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 eb3dcc0f-6e1c-40c2-a3d7-653752be12e0 · outbound

This paper cites Schaefer, Class groups and S elmer groups , J.

Relative $p$-class groups and $p$-Selmer groups Schaefer, Class groups and S elmer groups , J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:37:46.875343Z

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 ee178002-64ee-48b0-8eeb-a3b3f477d34c · outbound

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

Relative $p$-class groups and $p$-Selmer groups C esnavi c ius, Selmer groups and class groups, Compos

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:37:46.857884Z

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.