Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Commuting time geometry of ergodic Markov chains
As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1107.2612.
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 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T13:07:46.054178Z
A source-named dated measurement, never combined with another source.
Source: cited_works
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 2f6e1b02-5724-4f3a-a8a3-c46c253363f7 · inbound
Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport cites this paper.
Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Commuting time geometry of ergodic Markov chains
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T13:07:46.054178Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.