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Paper Citation Record · LEDGER

A $q$-analog of the Markoff injectivity conjecture holds

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2212.09852.

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

pith.paper-citation-record.v1
2212.09852 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 1 of 1 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-15T16:42:25.266082Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T16:46:18.321770Z

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 76b104d8-4392-4899-8009-f85dc0bf5e13 · inbound

Plane geometry of $q$-rationals and Springborn Operations cites this paper.

Plane geometry of $q$-rationals and Springborn Operations A $q$-analog of the Markoff injectivity conjecture holds

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-15T16:46:18.325350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-15T16:42:25.266082Z digest=sha256:719950a0e72108a20f9f91f4fcdedfea088b01460c00641f6562ad892c0c2474