Paper Citation Record · LEDGER

Rank stability in quadratic extensions and Hilbert's tenth problem for the ring of integers of a number field

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2501.18774.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2501.18774 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:05:02.044849Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T05:12:12.299682Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 8a89b105-edf9-4e9b-a009-8740cb20fa1d · inbound

Elliptic curves of rank one over number fields cites this paper.

Elliptic curves of rank one over number fields Rank stability in quadratic extensions and Hilbert's tenth problem for the ring of integers of a number field

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T14:58:05.844254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2d5a21e8-fbfc-4881-9337-2300d9c8305e · inbound

Rank one elliptic curves and rank stability cites this paper.

Rank one elliptic curves and rank stability Rank stability in quadratic extensions and Hilbert's tenth problem for the ring of integers of a number field

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T15:05:02.044849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45a1576a-bdc3-4155-8eee-21c49cbe18b0 · inbound

Mazur's growth number conjecture and congruences cites this paper.

Mazur's growth number conjecture and congruences Rank stability in quadratic extensions and Hilbert's tenth problem for the ring of integers of a number field

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T14:24:24.489658Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84fdd3e0-b376-44d8-b497-5bbee64db2ab · inbound

Martin Davis: An Overview of his Work in Logic, Computer Science, and Philosophy cites this paper.

Martin Davis: An Overview of his Work in Logic, Computer Science, and Philosophy Rank stability in quadratic extensions and Hilbert's tenth problem for the ring of integers of a number field

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:12:12.307521Z

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.