Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T13:37:46.767065Z
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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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.
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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.
Pith citing papers
No inbound Pith citation observations are available.