Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
The geometric $\beta$-function in curved space-time under operator regularization
As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:0909.4122.
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 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-12T13:52:57.815175Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-12T13:52:58.300632Z
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 addcb0ec-454c-4ba5-bd82-e143e5eaf94f · inbound
Some very low-dimensional algebraic topology cites this paper.
Some very low-dimensional algebraic topology The geometric $\beta$-function in curved space-time under operator regularization
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T13:52:58.306203Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.