Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-09T23:07:39.964883Z
Paper Citation Record · LEDGER
Inductive methods for counting number fields
As of 10 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 7 inbound Pith citation observations for arXiv:2501.18574.
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 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-08T23:11:22.130434Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-08T05:04:31.264345Z
Reference resolution
14 of 14 outbound references displayed
- verified exact2
- verified fuzzy7
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 806a5326-aae2-4d59-bd56-5d1c0fca5b06 · outbound
This paper cites Pointwise Bound for $\ell$-torsion in Class Groups II: Nilpotent Extensions.
Inductive methods for counting number fields Pointwise Bound for $\ell$-torsion in Class Groups II: Nilpotent Extensions
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-09T23:07:40.000461Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 508ba38e-127f-40d4-9062-b7850cba1940 · outbound
This paper cites Pointwise bound for ℓ-torsion in class groups: Elementary abelian extensions.
Inductive methods for counting number fields Pointwise bound for ℓ-torsion in class groups: Elementary abelian extensions
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T23:07:40.275597Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation d6bf1f2c-29f9-400c-93fe-c24986e1d6dc · outbound
This paper cites Faithful Artin induction and the Chebotarev density theorem.
Inductive methods for counting number fields Faithful Artin induction and the Chebotarev density theorem
Reference 1985
- Resolution
- verified exact
- local_arxiv, observed 2026-08-09T23:07:40.043511Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e1c3a4b5-f98f-4321-9e38-701dabbfb12b · outbound
This paper cites Malle's conjecture and Brauer groups of stacks.
Inductive methods for counting number fields Malle's conjecture and Brauer groups of stacks
Reference 1987
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T23:07:39.949619Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e5c3ce66-727e-4f9d-9169-44097059db1f · outbound
This paper cites [BF10] Karim Belabas and Étienne Fouvry.
Inductive methods for counting number fields [BF10] Karim Belabas and Étienne Fouvry
Reference 1997
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T23:07:40.322547Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 9dacc68f-4eb1-4f96-a093-3277e5dc9da6 · outbound
This paper cites Ellenberg and Akshay Venkatesh.
Inductive methods for counting number fields Ellenberg and Akshay Venkatesh
Reference 2006
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T23:07:40.298100Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 90c0a481-a48b-4a63-a813-be90f1ae4811 · outbound
This paper cites Asymptotics for number field s and class groups.
Inductive methods for counting number fields Asymptotics for number field s and class groups
Reference 2009
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T23:07:40.264218Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation f14efea2-ae30-4c20-8a99-33ecf0f27e1c · outbound
This paper cites Galois groups of random integer po lynomials and van der Waerden’s Conjec- ture.
Inductive methods for counting number fields Galois groups of random integer po lynomials and van der Waerden’s Conjec- ture
Reference 2010
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T23:07:40.310384Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 10a77281-aaad-474e-986f-965817e7cce5 · outbound
This paper cites an unresolved cited work.
Inductive methods for counting number fields Unresolved cited work
Reference 2016
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T23:07:40.252580Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 0ee26b2b-5769-448d-9a91-6306e5092b7b · outbound
This paper cites G eometry-of-numbers methods over global fields I: Prehomogeneous vector spaces, Dec 2015.
Inductive methods for counting number fields G eometry-of-numbers methods over global fields I: Prehomogeneous vector spaces, Dec 2015
Reference 2020
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T23:07:39.930171Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 51b078ea-23c0-412f-bece-abcc255fd3d2 · outbound
This paper cites Power Savings for Counting (Twisted) Abelian Extensions of Number Fields.
Inductive methods for counting number fields Power Savings for Counting (Twisted) Abelian Extensions of Number Fields
Reference 2021
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T23:07:39.912441Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1583306a-00d4-4120-8b04-d016c54ec3c5 · outbound
This paper cites Counting nilpotent Galois extensions.
Inductive methods for counting number fields Counting nilpotent Galois extensions
Reference 2022
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T23:07:40.286642Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 824bbddb-5a97-4cd9-8f69-f7708e3feef6 · outbound
This paper cites The average size of $3$-torsion in class groups of $2$-extensions.
Inductive methods for counting number fields The average size of $3$-torsion in class groups of $2$-extensions
Reference 2023
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-09T23:07:40.028451Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation be9e729e-ba24-4b7e-bec2-c45256f29310 · outbound
This paper cites Restricting the splitting types of a positive density set of places in number field extensions.
Inductive methods for counting number fields Restricting the splitting types of a positive density set of places in number field extensions
Reference 2024
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T23:07:40.333149Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Pith citing papers
Observation 97acc78f-3d2b-481f-a2b5-748d075193a7 · inbound
Counterexamples for T\"urkelli's Modification on Malle's Conjecture cites this paper.
Counterexamples for T\"urkelli's Modification on Malle's Conjecture Inductive methods for counting number fields
Reference 2021
- Resolution
- unresolved
- no resolver link, observed 2026-08-08T23:11:22.130434Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bdfb4456-9154-4180-8c73-7510d0b11262 · inbound
Malle's Conjecture for Galois octic fields over $\mathbb Q$ cites this paper.
Malle's Conjecture for Galois octic fields over $\mathbb Q$ Inductive methods for counting number fields
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:52:39.182977Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ce7a4c18-0286-4b91-9f5d-291a6803348a · inbound
Counting abelian number fields with restricted ramification type cites this paper.
Counting abelian number fields with restricted ramification type Inductive methods for counting number fields
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T21:23:36.901365Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 40153d25-bb51-4a8b-a625-28d472502a04 · inbound
Counting number fields using multiple Dirichlet series cites this paper.
Counting number fields using multiple Dirichlet series Inductive methods for counting number fields
Reference 3
- Resolution
- verified exact
- arxiv_id, observed 2026-05-25T06:50:28.391869Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 7748b1e1-4392-452e-a2d5-214ae91df3ec · inbound
The leading constant in Malle's conjecture cites this paper.
The leading constant in Malle's conjecture Inductive methods for counting number fields
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T11:16:53.589759Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 9d8c3569-33bc-4ac8-bf8f-98f7425448b4 · inbound
A refined Malle conjecture for Heisenberg groups cites this paper.
A refined Malle conjecture for Heisenberg groups Inductive methods for counting number fields
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-07-08T05:04:31.266073Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation d3cec2bf-c2c9-4999-9d5d-8598b0798ca1 · inbound
A refined Malle conjecture for Heisenberg groups cites this paper.
A refined Malle conjecture for Heisenberg groups Inductive methods for counting number fields
Reference 2025
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T08:20:53.932040Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.