Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Kaleidoscopic Symmetries and Self-Similarity of Integral Apollonian Gaskets
As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2104.13198.
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 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T16:37:12.127558Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T16:37:14.781080Z
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 fd70647e-3916-4554-924f-0b5737d73d1a · inbound
The Hofstadter Butterfly: Bridging Condensed Matter, Topology, and Number Theory cites this paper.
The Hofstadter Butterfly: Bridging Condensed Matter, Topology, and Number Theory Kaleidoscopic Symmetries and Self-Similarity of Integral Apollonian Gaskets
Reference 38
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T16:37:14.947316Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.