Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Cutoff for non-negatively curved Markov chains
As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2102.05597.
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 2026-08-14T11:49:37.692202Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T14:29:54.152641Z
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 0eed08d8-ece6-45ed-8f63-2b391c7a73df · inbound
Some inequalities for reversible Markov chains and branching random walks via spectral optimization cites this paper.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Cutoff for non-negatively curved Markov chains
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:49:37.692202Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4d315f63-436e-4365-87e5-56987e159f2c · inbound
Retention Profiles and KL Contraction Bounds in Finite Markov Chains cites this paper.
Retention Profiles and KL Contraction Bounds in Finite Markov Chains Cutoff for non-negatively curved Markov chains
Reference 31
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T14:29:54.154207Z
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.