Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:58:29.272434Z
Paper Citation Record · LEDGER
An introduction to $\Gamma$-number fields
As of 16 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:1908.02318.
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 2026-08-16T06:30:59.297886+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
9 of 9 outbound references displayed
- verified exact2
- verified fuzzy5
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 45e11f46-e773-4fd7-8cdc-de70aac4f2a3 · outbound
This paper cites an unresolved cited work.
An introduction to $\Gamma$-number fields Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:58:29.869105Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 34b49f76-fea1-4f1b-9c96-fe81de1bdb9a · outbound
This paper cites The trace form over cyclic number fields.
An introduction to $\Gamma$-number fields The trace form over cyclic number fields
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:58:29.035506Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 36407dd7-1f6a-4e8c-85cc-7c7159b44e8e · outbound
This paper cites Jones, D.
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:58:29.851359Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ccf4b7b0-5102-4e11-a861-428433586ec7 · outbound
This paper cites Mantilla-Soler, The Spinor Genus of the integral trace , Transactions of the Amer- ican Mathematical Society 369 (2017) , 1547-1577.
An introduction to $\Gamma$-number fields Mantilla-Soler, The Spinor Genus of the integral trace , Transactions of the Amer- ican Mathematical Society 369 (2017) , 1547-1577
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:58:29.834265Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6ee67e25-f64c-4fde-ba0f-750b7b2a35fb · outbound
This paper cites Mantilla-Soler.
An introduction to $\Gamma$-number fields Mantilla-Soler
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:58:29.682025Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e5e9b592-4bfb-497e-ae6a-3f0e7ae91a8d · outbound
This paper cites The integral trace form as a complete invariant for real $S_n$ number fields.
An introduction to $\Gamma$-number fields The integral trace form as a complete invariant for real $S_n$ number fields
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:58:29.356160Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8208fbee-93e1-4113-8db2-12228870bdb1 · outbound
This paper cites The $(\alpha, \beta)-$ramification invariants of a number field.
An introduction to $\Gamma$-number fields The $(\alpha, \beta)-$ramification invariants of a number field
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:58:29.317853Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d3fc9471-973f-4850-aa19-3a52b3d6b56a · outbound
This paper cites Serre, Local fields , Graduate Texts in Mathematics, 67.
An introduction to $\Gamma$-number fields Serre, Local fields , Graduate Texts in Mathematics, 67
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:58:29.571715Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation db66f847-fcb2-4dd6-8847-e3d7c696c9ae · outbound
This paper cites Taussky, The discriminant matrix of a number field , J.
An introduction to $\Gamma$-number fields Taussky, The discriminant matrix of a number field , J
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:58:29.554679Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.