Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
On $q$-real and $q$-complex numbers
As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2508.08440.
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 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-10T21:21:12.091519Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-15T16:46:18.209651Z
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 502969a1-8a7e-4a86-b9e7-05e1a13660c9 · inbound
Plane geometry of $q$-rationals and Springborn Operations cites this paper.
Plane geometry of $q$-rationals and Springborn Operations On $q$-real and $q$-complex numbers
Reference 6
- Resolution
- verified exact
- arxiv_id, observed 2026-08-07T00:51:06.975017Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0b794983-c83e-4ac3-9f76-93f29b74483b · inbound
Analytical properties of $q$-metallic numbers cites this paper.
Analytical properties of $q$-metallic numbers On $q$-real and $q$-complex numbers
Reference 6
- Resolution
- verified exact
- arxiv_id, observed 2026-08-07T00:51:06.975017Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 600ede8d-3565-475c-aac7-fd6864549b26 · inbound
Dimers, filters, and $q$-deformed real numbers cites this paper.
Dimers, filters, and $q$-deformed real numbers On $q$-real and $q$-complex numbers
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:35:17.030385Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e30f70d4-3e9f-4431-b3d1-d9a20c62a0dd · inbound
Coefficients of $q$-real numbers: their combinatorial meaning and growth cites this paper.
Coefficients of $q$-real numbers: their combinatorial meaning and growth On $q$-real and $q$-complex numbers
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T21:21:12.091519Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.