Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Positive integer solutions to $(x+y)^2+(y+z)^2+(z+x)^2=12xyz$
As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2109.09639.
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 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-05T12:01:24.365121Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-17T01:53:50.992363Z
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 78a97570-da1e-480d-be30-c46bf2fedebb · inbound
Divisibility by $p$ for Markoff-like Surfaces cites this paper.
Divisibility by $p$ for Markoff-like Surfaces Positive integer solutions to $(x+y)^2+(y+z)^2+(z+x)^2=12xyz$
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T12:01:24.365121Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e31b9a7-06c2-4c4e-a246-75267d053b85 · inbound
Generalized discrete Markov spectra cites this paper.
Generalized discrete Markov spectra Positive integer solutions to $(x+y)^2+(y+z)^2+(z+x)^2=12xyz$
Reference 16
- Resolution
- verified exact
- arxiv_id, observed 2026-05-17T01:53:50.994637Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e8b4df7d-582b-4234-ab19-55c38125c773 · inbound
Orderings of Generalized k-Markov Numbers cites this paper.
Orderings of Generalized k-Markov Numbers Positive integer solutions to $(x+y)^2+(y+z)^2+(z+x)^2=12xyz$
Reference 12
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T06:01:13.286557Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a537c428-844a-4f67-a6d6-08607b97ba93 · inbound
Open surfaces with a triangle at infinity cites this paper.
Open surfaces with a triangle at infinity Positive integer solutions to $(x+y)^2+(y+z)^2+(z+x)^2=12xyz$
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T03:07:56.615091Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.