Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
New formulas for the Laplacian of distance functions and applications
As of 24 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1803.09687.
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 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T15:21:08.294654Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-24T22:15:00.949139Z
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 27f0c5b5-3e6f-4ca6-9333-7a301abfb529 · inbound
Curvature-dimension conditions for diffusions under time change cites this paper.
Curvature-dimension conditions for diffusions under time change New formulas for the Laplacian of distance functions and applications
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-05-24T22:15:00.952094Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation bb0139b7-ae41-4afb-99fc-76e19dd480fa · inbound
The Quasi Curvature-Dimension Condition with applications to sub-Riemannian manifolds cites this paper.
The Quasi Curvature-Dimension Condition with applications to sub-Riemannian manifolds New formulas for the Laplacian of distance functions and applications
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T15:21:08.294654Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d532727e-473f-4d09-8e4f-91e5cfa7e97e · inbound
The Heintze-Karcher inequality for metric measure spaces cites this paper.
The Heintze-Karcher inequality for metric measure spaces New formulas for the Laplacian of distance functions and applications
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:07:18.587148Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.