Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:10:17.030837Z
Paper Citation Record · LEDGER
The shapes of Galois quartic fields
As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:1908.03969.
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 2026-08-15T06:32:42.880941+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
21 of 21 outbound references displayed
- verified exact3
- verified fuzzy10
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 3d51220a-c9d1-4c9a-9287-851f318f57f5 · outbound
This paper cites Reine Angew.
The shapes of Galois quartic fields Reine Angew
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:10:17.379796Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9268c378-c9ec-4b21-9bd8-943ffab33dbe · outbound
This paper cites 6, 1111--1120.
The shapes of Galois quartic fields 6, 1111--1120
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:10:17.366280Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f04093db-8b92-467e-ad48-15430cfc4184 · outbound
This paper cites an unresolved cited work.
The shapes of Galois quartic fields Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:10:17.352517Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a555cd37-1093-43f4-b10a-c2cd41a8a5c5 · outbound
This paper cites The trace form over cyclic number fields.
The shapes of Galois quartic fields The trace form over cyclic number fields
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:10:17.118060Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 18ac66d9-04fc-4484-9829-17528e10c77b · outbound
This paper cites an unresolved cited work.
The shapes of Galois quartic fields Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:10:17.339058Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation bf7c3df2-d877-41ec-9074-f37e1d02d672 · outbound
This paper cites Davenport and H.
The shapes of Galois quartic fields Davenport and H
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:10:17.324791Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6d2184e5-3762-46fb-ba79-650a1a6d372c · outbound
This paper cites an unresolved cited work.
The shapes of Galois quartic fields Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:10:17.311075Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 18fa0964-27f4-4c91-b0f1-6a64b7e6d43e · outbound
This paper cites an unresolved cited work.
The shapes of Galois quartic fields Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:10:17.297161Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 09f64eb6-bfde-4dac-8d1a-5515a671d49c · outbound
This paper cites an unresolved cited work.
The shapes of Galois quartic fields Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:10:17.283643Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 52a9b4a1-5bf0-4d47-bc9a-5e0f29ab5fb1 · outbound
This paper cites thesis, Princeton University, 2016, p.
The shapes of Galois quartic fields thesis, Princeton University, 2016, p
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:10:17.269535Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 71ec6c65-37ce-44c3-a48b-875305f94b9a · outbound
This paper cites an unresolved cited work.
The shapes of Galois quartic fields Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:10:17.255429Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 38a55b80-83f1-41d1-ba4c-8fc6d7afd047 · outbound
This paper cites Equidistribution of shapes of complex cubic fields of fixed quadratic resolvent.
The shapes of Galois quartic fields Equidistribution of shapes of complex cubic fields of fixed quadratic resolvent
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:10:17.096476Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 77490ee4-c9b6-4347-a388-f63ba37773cf · outbound
This paper cites an unresolved cited work.
The shapes of Galois quartic fields Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:10:17.239760Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation dd7ea3ca-1145-485a-a264-59a2c2515aec · outbound
This paper cites an unresolved cited work.
The shapes of Galois quartic fields Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:10:17.223913Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e569f11d-2af2-44ac-85c9-5b69bb11d94b · outbound
This paper cites 53, American Mathematical Society, Providence, RI, 2004.
The shapes of Galois quartic fields 53, American Mathematical Society, Providence, RI, 2004
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:10:17.208978Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 55e5a445-acb4-43ad-b869-acd1f1b15916 · outbound
This paper cites Ram Murty, Problems in analytic number theory, second ed., Graduate Texts in Mathematics, vol.
The shapes of Galois quartic fields Ram Murty, Problems in analytic number theory, second ed., Graduate Texts in Mathematics, vol
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:10:17.194182Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a5cb565c-cb36-4bcf-bbe6-641cd787e4b3 · outbound
This paper cites 322, Springer-Verlag, Berlin, 1999, Translated from the 1992 German original by Norbert Schappacher.
The shapes of Galois quartic fields 322, Springer-Verlag, Berlin, 1999, Translated from the 1992 German original by Norbert Schappacher
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:10:17.179888Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0958704f-d84f-4d70-bc28-e590d26d4cc1 · outbound
This paper cites A proof of a conjecture on trace-zero forms and shapes of number fields.
The shapes of Galois quartic fields A proof of a conjecture on trace-zero forms and shapes of number fields
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:10:17.073431Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 40fbf965-27ae-4a2c-8351-f63aa02271fc · outbound
This paper cites Spearman and Kenneth S.
The shapes of Galois quartic fields Spearman and Kenneth S
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:10:17.165065Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 47323359-2240-4cd8-86b1-c40cfa7aae96 · outbound
This paper cites Terr, The distribution of shapes of cubic orders, Ph.D.
The shapes of Galois quartic fields Terr, The distribution of shapes of cubic orders, Ph.D
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:10:17.149953Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 33d3abff-5d23-4f14-b35d-b5322d37da2c · outbound
This paper cites Williams, Integers of biquadratic fields, Canad.
The shapes of Galois quartic fields Williams, Integers of biquadratic fields, Canad
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:10:17.134942Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
No inbound Pith citation observations are available.