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Paper Citation Record · LEDGER

On Central Limit Theorems for Additive Functionals of Reversible Ergodic Markov Processes

As of 7 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2505.01045.

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

pith.paper-citation-record.v1
2505.01045 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-22T17:59:48.473956Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

12 of 12 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c0dc8a7c-d859-4082-b5f8-bd5e65b9d420 · outbound

This paper cites 1, 17–36.

On Central Limit Theorems for Additive Functionals of Reversible Ergodic Markov Processes 1, 17–36

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T18:01:54.774103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-22T17:59:48.473956Z digest=sha256:732780f95d7108d63eab414209ee4b6e2af4ba360aee29d027a2f424937bd600

Observation 2f0db7c2-1028-409d-bef1-f2e9cd49af26 · outbound

This paper cites an unresolved cited work.

On Central Limit Theorems for Additive Functionals of Reversible Ergodic Markov Processes Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-22T18:01:54.759190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-22T17:59:48.473956Z digest=sha256:c02622288c77f187b1cf3a57f9ceb89152d4c9f593bebb4d1d9183ad8146b4ef

Observation bd0ab00d-c1a4-4c2f-b61e-a55f93fc7678 · outbound

This paper cites 2, 185–201.

On Central Limit Theorems for Additive Functionals of Reversible Ergodic Markov Processes 2, 185–201

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T18:01:54.772002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-22T17:59:48.473956Z digest=sha256:b8269c7beae0d0c0c3bd5ead22281571bd731b64a3737530d5a3296969977707

Observation 2742ffe8-f2d4-4ece-aa7c-4fd5e36398a4 · outbound

This paper cites 1, 33–39.

On Central Limit Theorems for Additive Functionals of Reversible Ergodic Markov Processes 1, 33–39

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T18:01:54.770035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-22T17:59:48.473956Z digest=sha256:24872fe5d4b001bde12eeca9a705bf4317eef02412704310938ec4a277b50abf

Observation 4a39e07b-9a21-4961-8f6d-5b033736a33e · outbound

This paper cites an unresolved cited work.

On Central Limit Theorems for Additive Functionals of Reversible Ergodic Markov Processes Unresolved cited work

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-22T18:01:54.437388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-22T17:59:48.473956Z digest=sha256:87aa06a6fe5ad5a3ae0c345745b35ccc0cb839f99a382fd83bc4b59f46fcd8e1

Observation 8bd0c08e-b400-4359-b0f2-d083161de195 · outbound

This paper cites an unresolved cited work.

On Central Limit Theorems for Additive Functionals of Reversible Ergodic Markov Processes Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-22T18:01:54.766248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-22T17:59:48.473956Z digest=sha256:5a3d5466273faefcae7136f63d016a546ae442b752eee7766681be534c0ba14a

Observation 7b9216fb-ac7a-4639-b5bd-41b6f9a448a8 · outbound

This paper cites an unresolved cited work.

On Central Limit Theorems for Additive Functionals of Reversible Ergodic Markov Processes Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-22T18:01:54.763815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-22T17:59:48.473956Z digest=sha256:ad9a8a2855aec4eb14a60ce9286bc7619ca6dcab69724b73d2994f3e5bfff72e

Observation 80c9d74b-e5ef-4b5c-81ab-278899d85cb8 · outbound

This paper cites 345, Springer Science & Business Media.

On Central Limit Theorems for Additive Functionals of Reversible Ergodic Markov Processes 345, Springer Science & Business Media

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T18:01:54.761658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-22T17:59:48.473956Z digest=sha256:286bd5f0a930834adfff4574386a25f026c5bc054d4cd475c205dd985de58a82

Observation 9f597d4c-8c90-4b78-82be-ef78c576a8d8 · outbound

This paper cites 324, springer science & Business Media.

On Central Limit Theorems for Additive Functionals of Reversible Ergodic Markov Processes 324, springer science & Business Media

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T18:01:54.756482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-22T17:59:48.473956Z digest=sha256:454700534eedc3f8a717120af03c26db22409523ffd27edf7e34e389149d6a11

Observation 3aa104d0-988c-4862-a563-831e4638f568 · outbound

This paper cites Multiscale Modeling & Simulation5(2006), no.

On Central Limit Theorems for Additive Functionals of Reversible Ergodic Markov Processes Multiscale Modeling & Simulation5(2006), no

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T18:01:54.753529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-22T17:59:48.473956Z digest=sha256:cc309f491fa7b99a48b92b9d38f5d4d87092506b349d4f69ab70bec1b7d348f8

Observation 9e289e6f-637a-417b-ab56-2a34c132544e · outbound

This paper cites an unresolved cited work.

On Central Limit Theorems for Additive Functionals of Reversible Ergodic Markov Processes Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-22T18:01:54.749003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-22T17:59:48.473956Z digest=sha256:abc58fa93e4400a7609453babb1130c5f6108fec71f60a45bb9d6bbce05fdf22

Observation e27c5614-84b2-4b5a-b774-7f1abccfc600 · outbound

This paper cites an unresolved cited work.

On Central Limit Theorems for Additive Functionals of Reversible Ergodic Markov Processes Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-05-22T18:01:54.751489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-22T17:59:48.473956Z digest=sha256:5606d36dfe087ac97b634ddc30c3620893cf02f1b0d7a6c19cfd5441679101d5

Pith citing papers

No inbound Pith citation observations are available.