Paper Citation Record · LEDGER

Heat kernel for Liouville Brownian motion and Liouville graph distance

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1807.00422.

A citation records a reference. It does not transfer a finding from one paper to another.

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:12:02.561133Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-14T11:17:40.389086Z

0 of 0 outbound references displayed

External citation measurements

No source-named external measurement is stored.

No outbound reference observations are available for this paper version.

Observation 9885ec3c-66f6-42a1-b788-2ca3671ba764 · inbound

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-14T13:12:02.561133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b84dca55-4a1e-4c44-bb53-e4510a072983 · inbound

Reference 55

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:17:40.393660Z

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.