Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T22:41:56.801081Z
Paper Citation Record · LEDGER
Counting biquadratic number fields with quaternionic and dihedral extensions
As of 8 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2506.21522.
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 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T17:12:19.393763Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T17:12:20.190596Z
Reference resolution
37 of 37 outbound references displayed
- verified exact0
- verified fuzzy20
- unresolved17
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 2da836ab-3390-4690-b9ea-cb96bed71760 · outbound
This paper cites Baily, On the density of discriminants of quartic fields.
Counting biquadratic number fields with quaternionic and dihedral extensions Baily, On the density of discriminants of quartic fields
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:42:01.819459Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5ee619cf-5f8c-41fd-998f-4ffa7efcb319 · outbound
This paper cites Bhargava, The density of discriminants of quartic rings and fields.
Counting biquadratic number fields with quaternionic and dihedral extensions Bhargava, The density of discriminants of quartic rings and fields
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:42:01.666623Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 18ea8453-f104-4b59-8d7d-eaaf77b96c97 · outbound
This paper cites Bosma, J.
Counting biquadratic number fields with quaternionic and dihedral extensions Bosma, J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:42:01.586545Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0842cb2a-f84e-4856-9488-ac11fc11ad29 · outbound
This paper cites an unresolved cited work.
Counting biquadratic number fields with quaternionic and dihedral extensions Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:42:01.439653Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ffd073d2-e122-430b-ae06-07adea2497c8 · outbound
This paper cites Cohen, Number Theory, volume I: Tools and Diophantine Equations.
Counting biquadratic number fields with quaternionic and dihedral extensions Cohen, Number Theory, volume I: Tools and Diophantine Equations
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:42:01.316387Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8955720e-7d73-46b3-bbc9-50d9610a608d · outbound
This paper cites Cohen, F.
Counting biquadratic number fields with quaternionic and dihedral extensions Cohen, F
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:42:01.212192Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5c9f528d-c917-4e23-b419-146c343e086d · outbound
This paper cites Feit, Characters of Finite Groups.
Counting biquadratic number fields with quaternionic and dihedral extensions Feit, Characters of Finite Groups
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:42:01.095459Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d36dd043-eab5-4b66-a2b3-c7e42eb0f82a · outbound
This paper cites Fouvry and J.
Counting biquadratic number fields with quaternionic and dihedral extensions Fouvry and J
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:42:00.949470Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation dea64c33-2a47-4aab-82e5-8d54f4c461a1 · outbound
This paper cites Fouvry, F.
Counting biquadratic number fields with quaternionic and dihedral extensions Fouvry, F
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:42:00.798427Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a6466de1-4009-4003-914a-f5ab1802baf2 · outbound
This paper cites Frederiksen and I.
Counting biquadratic number fields with quaternionic and dihedral extensions Frederiksen and I
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:42:00.662992Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0727ff7d-49e3-4241-8309-877969db21d8 · outbound
This paper cites Friedlander and H.
Counting biquadratic number fields with quaternionic and dihedral extensions Friedlander and H
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:42:00.540106Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6bba5c26-4c70-4526-af7f-729532f16676 · outbound
This paper cites an unresolved cited work.
Counting biquadratic number fields with quaternionic and dihedral extensions Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:42:00.352822Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9a296482-da1b-4323-9df3-5ea3a0906346 · outbound
This paper cites an unresolved cited work.
Counting biquadratic number fields with quaternionic and dihedral extensions Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:42:00.208415Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1791894b-9a95-44f6-a558-13e139aa9cce · outbound
This paper cites an unresolved cited work.
Counting biquadratic number fields with quaternionic and dihedral extensions Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:42:00.025828Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5bae3edc-5fd9-4513-bf36-7dcc398384a8 · outbound
This paper cites Kiming, On the Liftings of 2-Dimensional Projective Galois Representations over Q.
Counting biquadratic number fields with quaternionic and dihedral extensions Kiming, On the Liftings of 2-Dimensional Projective Galois Representations over Q
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:41:59.929978Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 05bba367-4434-4225-a014-8bf689fb6d4a · outbound
This paper cites Landau, ¨Uber die Einteilung der positiven ganzen Zahlen in vier Klassen nach der Mindestzahl der zu ihrer additiven Zusammensetzung erforderlichen Quadrate.
Counting biquadratic number fields with quaternionic and dihedral extensions Landau, ¨Uber die Einteilung der positiven ganzen Zahlen in vier Klassen nach der Mindestzahl der zu ihrer additiven Zusammensetzung erforderlichen Quadrate
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:41:59.776689Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 69205d11-d435-4044-a5d3-da176850c294 · outbound
This paper cites https://groupprops.subwiki.org/wiki/Linear_ representation_theory_of_dicyclic_groups.
Counting biquadratic number fields with quaternionic and dihedral extensions https://groupprops.subwiki.org/wiki/Linear_ representation_theory_of_dicyclic_groups
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:41:59.672474Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1f89f805-16ae-441d-9671-bc257247839a · outbound
This paper cites an unresolved cited work.
Counting biquadratic number fields with quaternionic and dihedral extensions Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:41:59.518034Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8dfd778e-d1e6-4a86-b1a6-c3b9dfc12ffc · outbound
This paper cites M¨ aki, On the density of abelian number fields.
Counting biquadratic number fields with quaternionic and dihedral extensions M¨ aki, On the density of abelian number fields
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:41:59.330289Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 566c101e-5b7a-4e4f-8d7b-60da1be20517 · outbound
This paper cites Malle, On the distribution of Galois groups.
Counting biquadratic number fields with quaternionic and dihedral extensions Malle, On the distribution of Galois groups
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:41:59.187317Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b77c43ce-cf6b-4f7c-9758-93979da79a70 · outbound
This paper cites Malle, On the distribution of Galois groups.
Counting biquadratic number fields with quaternionic and dihedral extensions Malle, On the distribution of Galois groups
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:41:59.077898Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9246a1af-c981-4316-acf2-8aee0396d220 · outbound
This paper cites an unresolved cited work.
Counting biquadratic number fields with quaternionic and dihedral extensions Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:41:58.972526Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 61b8d24d-0a41-42b1-9d1e-f4a988c994ad · outbound
This paper cites an unresolved cited work.
Counting biquadratic number fields with quaternionic and dihedral extensions Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:41:58.842667Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a89cbf33-38e1-477e-9df2-e8acfdd72956 · outbound
This paper cites an unresolved cited work.
Counting biquadratic number fields with quaternionic and dihedral extensions Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:41:58.702181Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 18a0107b-dfa9-45f3-bee0-583611564f9e · outbound
This paper cites an unresolved cited work.
Counting biquadratic number fields with quaternionic and dihedral extensions Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:41:58.564143Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2e14c3ce-f082-4198-b45a-4b638423b517 · outbound
This paper cites an unresolved cited work.
Counting biquadratic number fields with quaternionic and dihedral extensions Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:41:58.448600Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 33e908e1-2983-47a2-8763-4bb99e55ac8e · outbound
This paper cites an unresolved cited work.
Counting biquadratic number fields with quaternionic and dihedral extensions Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:41:58.325961Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 28b7dd13-6b70-4814-b3f7-c03df1744d6e · outbound
This paper cites Rome, The Hasse Norm Principle For Biquadratic Extensions J.
Counting biquadratic number fields with quaternionic and dihedral extensions Rome, The Hasse Norm Principle For Biquadratic Extensions J
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:41:58.236914Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ccf3dba0-dd62-4bc3-8ac9-c3108d1c1a3e · outbound
This paper cites an unresolved cited work.
Counting biquadratic number fields with quaternionic and dihedral extensions Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:41:58.129718Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 04e717aa-3a83-4d06-8dff-0ed0f5eed7ab · outbound
This paper cites an unresolved cited work.
Counting biquadratic number fields with quaternionic and dihedral extensions Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:41:58.007476Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 86daddfb-d1d2-4b7b-8bcc-d21b5590206d · outbound
This paper cites an unresolved cited work.
Counting biquadratic number fields with quaternionic and dihedral extensions Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:41:57.932018Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 83b6d62e-384b-4720-86d3-912175f107af · outbound
This paper cites an unresolved cited work.
Counting biquadratic number fields with quaternionic and dihedral extensions Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:41:57.793777Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2dffa96e-d11d-4cee-a6bc-54ab0453207a · outbound
This paper cites an unresolved cited work.
Counting biquadratic number fields with quaternionic and dihedral extensions Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:41:57.722215Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f8ca4bdf-f9c2-4301-9aa6-6ede1b8b9e28 · outbound
This paper cites an unresolved cited work.
Counting biquadratic number fields with quaternionic and dihedral extensions Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:41:57.545799Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3c0e6b6e-1986-4de1-9833-4457b461cc22 · outbound
This paper cites Tenenbaum, Introduction to Analytic and Probabilistic Number Theory , 3rd ed.
Counting biquadratic number fields with quaternionic and dihedral extensions Tenenbaum, Introduction to Analytic and Probabilistic Number Theory , 3rd ed
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:41:57.351831Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0ea17eea-3dae-4f5f-a823-6532db844cd8 · outbound
This paper cites Witt, Konstruktion von galoisschen K¨ orpern der Charakteristikp zu vorgegebener Gruppe der Ord- nung pf.
Counting biquadratic number fields with quaternionic and dihedral extensions Witt, Konstruktion von galoisschen K¨ orpern der Charakteristikp zu vorgegebener Gruppe der Ord- nung pf
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:41:57.187312Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8801ac12-0366-41dd-83c2-109e4802b8d7 · outbound
This paper cites Xiong and A.
Counting biquadratic number fields with quaternionic and dihedral extensions Xiong and A
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:41:57.013213Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Pith citing papers
Observation d4df3b83-85c0-4064-82d5-7236da8e0bcf · inbound
Counting $D_4$-field extensions by multi-invariants cites this paper.
Counting $D_4$-field extensions by multi-invariants Counting biquadratic number fields with quaternionic and dihedral extensions
Reference 2025
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T17:12:20.263189Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.