Paper Citation Record · LEDGER

A new proof of finitary isomorphism for Markov chains

As of 8 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 1 inbound Pith citation observation for arXiv:2506.04069.

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

pith.paper-citation-record.v1
2506.04069 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:02:50.695669Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:50:56.508255Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T10:50:56.568089Z

Reference resolution

11 of 11 outbound references displayed

verified exact0
verified fuzzy11
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 30dafa66-98d2-49e9-9086-657aacfa854c · outbound

This paper cites Finitary codes between Markov processes.

A new proof of finitary isomorphism for Markov chains Finitary codes between Markov processes

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:51.091494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9e921f40-bea3-4d7e-9d9e-7430b9a7861b · outbound

This paper cites Markov chains with exponential return times are finitary.

A new proof of finitary isomorphism for Markov chains Markov chains with exponential return times are finitary

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:51.072354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation db9c6f4e-fd19-44c1-bef2-0943696c442b · outbound

This paper cites Bernoulli schemes of the same entropy are finitarily isomorphic.

A new proof of finitary isomorphism for Markov chains Bernoulli schemes of the same entropy are finitarily isomorphic

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:51.053433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f7635fd2-0d4a-448d-9a66-f1ebd170eaa6 · outbound

This paper cites Finitary isomorphisms of irreducible Markov shifts.

A new proof of finitary isomorphism for Markov chains Finitary isomorphisms of irreducible Markov shifts

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:51.018921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6ce0f04e-f420-4b6d-b888-6423767e9c38 · outbound

This paper cites A case of isomorphism of Bernoulli schemes.

A new proof of finitary isomorphism for Markov chains A case of isomorphism of Bernoulli schemes

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:50.996744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4eb1c861-92b7-4315-b441-3e5844e2195d · outbound

This paper cites Entropy-efficient finitary codings.

A new proof of finitary isomorphism for Markov chains Entropy-efficient finitary codings

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:50.951235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 72e3146e-c1ba-4b06-9ee2-fc01f0b5532a · outbound

This paper cites Bernoulli shifts with the same entropy are isomorphic.

A new proof of finitary isomorphism for Markov chains Bernoulli shifts with the same entropy are isomorphic

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:50.921262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 71d9ebee-7f23-4508-b5c5-4a74c1b8a16a · outbound

This paper cites Deux sch´ emas de bernoulli d’alphabet d´ enombrable et d’entropie infinie sont finitairement isomorphes.

A new proof of finitary isomorphism for Markov chains Deux sch´ emas de bernoulli d’alphabet d´ enombrable et d’entropie infinie sont finitairement isomorphes

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:50.893731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 42bb335f-57a3-44b2-b8a4-395712cf217d · outbound

This paper cites A characterization of those processes finitarily isomorphic to a Bernoulli shift.

A new proof of finitary isomorphism for Markov chains A characterization of those processes finitarily isomorphic to a Bernoulli shift

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:50.848993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4da9e210-8a30-4c10-94f0-94f6c142bec0 · outbound

This paper cites A mixing Markov chain with exponentially decaying return times is finitarily Bernoulli.

A new proof of finitary isomorphism for Markov chains A mixing Markov chain with exponentially decaying return times is finitarily Bernoulli

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:50.786715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9c4c5d13-bd64-4f67-9d0b-a9134c9b8698 · outbound

This paper cites Finitary isomorphism of some renewal processes to Bernoulli schemes.

A new proof of finitary isomorphism for Markov chains Finitary isomorphism of some renewal processes to Bernoulli schemes

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:50.765631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

Observation 752c6db3-ba1b-42b4-923b-d3228a33717f · inbound

Finitary codings and stochastic domination for Poisson representable processes cites this paper.

Finitary codings and stochastic domination for Poisson representable processes A new proof of finitary isomorphism for Markov chains

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:50:56.581598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.