Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T04:28:52.894879Z
Paper Citation Record · LEDGER
On Diophantine equations over the integer rings of quadratic fields
As of 23 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2608.03992.
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 2026-08-22T06:32:14.747728+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
13 of 13 outbound references displayed
- verified exact1
- verified fuzzy9
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c81ab4c6-2141-4c85-be80-0235a85ccef8 · outbound
This paper cites Alp¨ oge, M.
On Diophantine equations over the integer rings of quadratic fields Alp¨ oge, M
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:28:53.271525Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a895e353-269d-4476-aa9e-f8ed0b009e1e · outbound
This paper cites Davis, H.
On Diophantine equations over the integer rings of quadratic fields Davis, H
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:28:53.256912Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c6a9741f-8849-4f4a-9f0a-04d3d8ad0fdc · outbound
This paper cites Denef,Hilbert’s Tenth Problem for quadratic rings, Proc.
On Diophantine equations over the integer rings of quadratic fields Denef,Hilbert’s Tenth Problem for quadratic rings, Proc
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:28:53.242847Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7883ce04-cb6f-4a06-8b86-bb60a87ecb09 · outbound
This paper cites An AI Proof of 18-Variable Undecidability for Diophantine Equations over $\mathbb Z[i]$.
On Diophantine equations over the integer rings of quadratic fields An AI Proof of 18-Variable Undecidability for Diophantine Equations over $\mathbb Z[i]$
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T04:28:53.119642Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation bb73fe06-1a57-4540-8a15-beebf5c514e5 · outbound
This paper cites Koymans and C.
On Diophantine equations over the integer rings of quadratic fields Koymans and C
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T04:28:52.859888Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4d36b1af-0983-4fd2-bd3d-ca240d2a24e2 · outbound
This paper cites Matiyasevich,Enumerable sets are diophantine, Dokl.
On Diophantine equations over the integer rings of quadratic fields Matiyasevich,Enumerable sets are diophantine, Dokl
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:28:53.227986Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4969c3ba-a540-471d-9975-392ee83a0732 · outbound
This paper cites Robinson,Reduction of an arbitrary diophantine equation to one in 13 unknowns, Acta Arith.27(1975), 521–553.
On Diophantine equations over the integer rings of quadratic fields Robinson,Reduction of an arbitrary diophantine equation to one in 13 unknowns, Acta Arith.27(1975), 521–553
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:28:53.213819Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation de1aa7f3-7116-4bb2-a286-78ba8d61feb3 · outbound
This paper cites On Diophantine equations over $\mathbb Z[i]$ with $52$ unknowns.
On Diophantine equations over the integer rings of quadratic fields On Diophantine equations over $\mathbb Z[i]$ with $52$ unknowns
Reference 8
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-05T04:28:52.938400Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4cff008d-0b16-4d96-8701-bcc5de64219d · outbound
This paper cites Matiyasevich and Z.-W.
On Diophantine equations over the integer rings of quadratic fields Matiyasevich and Z.-W
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:28:53.198056Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation fe93fc64-7420-4c7f-bbfe-2064d91edc28 · outbound
This paper cites Sun,Reduction of unknowns in Diophantine representations, Sci.
On Diophantine equations over the integer rings of quadratic fields Sun,Reduction of unknowns in Diophantine representations, Sci
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:28:53.182934Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3f682108-d080-4684-9669-5589d717f100 · outbound
This paper cites Sun,Further results on Hilbert’s tenth problem, Sci.
On Diophantine equations over the integer rings of quadratic fields Sun,Further results on Hilbert’s tenth problem, Sci
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:28:53.167613Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0103b585-ef03-4868-b4af-e16a0fcf44fb · outbound
This paper cites Sun, Fibonacci Numbers and Hilbert’s Tenth Problem (in Chinese), Harbin Institute of Technology Press, Harbin, 2024.
On Diophantine equations over the integer rings of quadratic fields Sun, Fibonacci Numbers and Hilbert’s Tenth Problem (in Chinese), Harbin Institute of Technology Press, Harbin, 2024
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T04:28:53.151985Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 88325e10-ad23-4385-a7f4-deba10ee6ac0 · outbound
This paper cites an unresolved cited work.
On Diophantine equations over the integer rings of quadratic fields Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T04:28:53.136160Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
No inbound Pith citation observations are available.