Pith. sign in

Paper Citation Record · LEDGER

Spectral gap of nonreversible Markov chains

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2310.10876.

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

pith.paper-citation-record.v1
2310.10876 v3

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 2026-08-10T06:31:04.303077+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:11:19.407875Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T04:38:27.920031Z

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 efd782d5-7798-4d88-9941-4e44e8cc4080 · inbound

MCMC for multi-modal distributions cites this paper.

MCMC for multi-modal distributions Spectral gap of nonreversible Markov chains

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-10T21:11:19.407875Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T21:11:19.407875Z digest=sha256:b5ede2943fa586e63e590f63619175a805a40d778b90b32e42bd9c5803a37e3c

Observation 24ef1d70-0dc4-4542-92c0-a098de1dc6e3 · inbound

Microscopic Theory of Light-Induced Coherent Phonons Mediated by Quantum Geometry cites this paper.

Microscopic Theory of Light-Induced Coherent Phonons Mediated by Quantum Geometry Spectral gap of nonreversible Markov chains

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-08-06T04:38:28.089484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T04:38:26.734861Z digest=sha256:5e966e460fceea19d355f14d8cdcc0456d42ff67f0202d0f62900ee81563c5ed