Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T19:54:00.631237Z
Paper Citation Record · LEDGER
Lower bounds on the $\ell$-rank of ideal class groups
As of 11 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 1 inbound Pith citation observation for arXiv:2501.09865.
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 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T00:29:58.290673Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T00:29:58.382649Z
Reference resolution
9 of 9 outbound references displayed
- verified exact1
- verified fuzzy7
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 6677aed3-cc8f-4cef-8ccb-f7c69b568f46 · outbound
This paper cites Class number and ramifica tion in number fields.
Lower bounds on the $\ell$-rank of ideal class groups Class number and ramifica tion in number fields
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:54:00.794217Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a2d2c83a-c6ef-4f1d-a79b-2086e090472f · outbound
This paper cites A positive proportion of some quadratic number fi elds with infinite Hilbert 2-class field tower.
Lower bounds on the $\ell$-rank of ideal class groups A positive proportion of some quadratic number fi elds with infinite Hilbert 2-class field tower
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:54:00.720457Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 63636021-8403-44c5-ab85-22b6169c6de2 · outbound
This paper cites An explicit family of cubic number fields with large $2$-rank of the class group.
Lower bounds on the $\ell$-rank of ideal class groups An explicit family of cubic number fields with large $2$-rank of the class group
Reference 272
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T19:54:00.672958Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8028ae2f-55aa-4bf7-816c-1acd2f7d3685 · outbound
This paper cites Class groups of dihedral extensions.
Lower bounds on the $\ell$-rank of ideal class groups Class groups of dihedral extensions
Reference 1909
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:54:00.749245Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation da491cca-88bf-4f74-9f45-aebd6cebee6b · outbound
This paper cites On the p-Rank of Class Groups of p-Extensions.
Lower bounds on the $\ell$-rank of ideal class groups On the p-Rank of Class Groups of p-Extensions
Reference 2010
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:54:00.734897Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0c63e3c3-a4dc-43cb-9db2-e1fd70e972c7 · outbound
This paper cites A class rank estimat e for algebraic number fields.
Lower bounds on the $\ell$-rank of ideal class groups A class rank estimat e for algebraic number fields
Reference 2013
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:54:00.703171Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 15a90f45-2f6d-4f0f-a0a3-824cf7decaed · outbound
This paper cites an unresolved cited work.
Lower bounds on the $\ell$-rank of ideal class groups Unresolved cited work
Reference 2015
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T19:54:00.688028Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e78acbb5-a6de-4db3-a273-5f7075bcc757 · outbound
This paper cites A geometric a p- proach to large class groups: a survey, pp.
Lower bounds on the $\ell$-rank of ideal class groups A geometric a p- proach to large class groups: a survey, pp
Reference 2020
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:54:00.765071Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fb872339-511d-481f-9e1d-c28e3430df68 · outbound
This paper cites On cyclic fields of odd prime degree p with infinite Hilbert p-class field towers.
Lower bounds on the $\ell$-rank of ideal class groups On cyclic fields of odd prime degree p with infinite Hilbert p-class field towers
Reference 2024
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:54:00.779442Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Pith citing papers
Observation d7788856-23e0-4090-9d8f-4f6cd1ed82a9 · inbound
Adversarial Stress Testing of Role-Playing Language Agents using Multi-Agent Evaluation cites this paper.
Adversarial Stress Testing of Role-Playing Language Agents using Multi-Agent Evaluation Lower bounds on the $\ell$-rank of ideal class groups
Reference 29
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T00:29:58.420619Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.