Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:32:40.286294Z
Paper Citation Record · LEDGER
On the first-order theory of the remainder
As of 8 August 2026, this Paper Citation Record lists 3 of 3 outbound references and 0 inbound Pith citation observations for arXiv:2506.03204.
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 2026-08-07T06:34:17.273281+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
3 of 3 outbound references displayed
- verified exact0
- verified fuzzy3
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation da2ebe06-8664-41a2-9c07-c611ffd0cccc · outbound
This paper cites Presburger ¨Uber die Vollst¨ andigkeit eines gewissen Systems der Arithmetik.
On the first-order theory of the remainder Presburger ¨Uber die Vollst¨ andigkeit eines gewissen Systems der Arithmetik
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:40.920089Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9effa744-9134-4c8c-8065-442a3495c852 · outbound
This paper cites Robinson Definability and Decision Problems in Arithmetic.
On the first-order theory of the remainder Robinson Definability and Decision Problems in Arithmetic
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:40.662426Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f87ea08f-fc25-4f0f-b0dc-07fc713a8465 · outbound
This paper cites RobinsonUndecidable Theories.
On the first-order theory of the remainder RobinsonUndecidable Theories
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:40.470476Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
No inbound Pith citation observations are available.