Paper Citation Record · LEDGER

Entropy Contractions in Markov Chains: Half-Step, Full-Step and Continuous-Time

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2409.07689.

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

pith.paper-citation-record.v1
2409.07689 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:41:44.079513Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T14:29:54.131443Z

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 6f2bf31c-52fe-4d87-93bf-9dacdf1efb90 · inbound

Mixing Time of the Proximal Sampler in Relative Fisher Information via Strong Data Processing Inequality cites this paper.

Mixing Time of the Proximal Sampler in Relative Fisher Information via Strong Data Processing Inequality Entropy Contractions in Markov Chains: Half-Step, Full-Step and Continuous-Time

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-08T18:45:35.500849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 277ff038-37e8-4d54-8d21-1bd1a08ab6cc · inbound

Mixing times of data-augmentation Gibbs samplers for high-dimensional probit regression cites this paper.

Mixing times of data-augmentation Gibbs samplers for high-dimensional probit regression Entropy Contractions in Markov Chains: Half-Step, Full-Step and Continuous-Time

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T15:48:14.894755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4dd0b333-b335-4b94-9f2a-7b06ae07cb43 · inbound

Retention Profiles and KL Contraction Bounds in Finite Markov Chains cites this paper.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Entropy Contractions in Markov Chains: Half-Step, Full-Step and Continuous-Time

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:29:54.133153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3321dff6-1183-4496-a47a-e9518a7bc304 · inbound

Counter-examples for Tensorization Property of Strong Data Processing Inequality for Quantum Divergences cites this paper.

Counter-examples for Tensorization Property of Strong Data Processing Inequality for Quantum Divergences Entropy Contractions in Markov Chains: Half-Step, Full-Step and Continuous-Time

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T14:41:44.079513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.