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Paper Citation Record · LEDGER

Quantitative convergence rates for reversible Markov chains via strong random times

As of 16 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:1908.06459.

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

pith.paper-citation-record.v1
1908.06459 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:52:46.722140Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

37 of 37 outbound references displayed

  • verified exact9
  • verified fuzzy4
  • unresolved21
  • parse uncertain0
  • malformed identifier3
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation aa6212e4-1480-45e5-9b36-ad6a5f25d286 · outbound

This paper cites Aldous and P.

Quantitative convergence rates for reversible Markov chains via strong random times Aldous and P

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T12:52:46.328463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:52:46.328463Z digest=sha256:116ff21732a03d2de4a514b8668fd54f7546e99628ad0bfe780c94d249a5b8de

Observation 6aa0508d-9fb5-4139-80aa-f0c65963f1b6 · outbound

This paper cites Aldous and P.

Quantitative convergence rates for reversible Markov chains via strong random times Aldous and P

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-14T12:52:46.362978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:52:46.362978Z digest=sha256:63c8a33a8f6f510dc0a562957077ea02e04d7c9e002f0db681e46aef1b327ac1

Observation 3f057c75-8b61-40ca-a0a9-2189ba1a07f6 · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T12:52:46.368935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:52:46.368935Z digest=sha256:4599a701359e7ac105050f064458efb259a847ee427f741aefa28e9d1d8525ed

Observation c26b21d4-2818-47d7-a775-b456f6da09ba · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 4

Resolution
malformed identifier
raw_fallback, observed 2026-08-14T12:52:48.639151Z

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.

source=pdf_text observed=2026-08-14T12:52:46.375657Z digest=sha256:ec57d30fd25205142e23e6304f29cf07583cb5752a5d638ee57cdb96fb9be716

Observation 82d0d660-2a58-4f41-8492-35b4f740eb47 · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:52:48.614221Z

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.

source=pdf_text observed=2026-08-14T12:52:46.383028Z digest=sha256:4934361022d432e9d3ba6d6afd8157b110db2e061c9546c716e8d1e9093bf257

Observation d1de7c05-cac7-4aeb-af6b-f777e33a4c0e · outbound

This paper cites Bednorz, K.

Quantitative convergence rates for reversible Markov chains via strong random times Bednorz, K

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:48.585554Z

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.

source=pdf_text observed=2026-08-14T12:52:46.398184Z digest=sha256:237177042374fe0a359492cddf2461d2c9484670edc1736d45911890187f2078

Observation 176e298e-3727-4764-8bf6-19a35866f69e · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T12:52:46.415237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:52:46.415237Z digest=sha256:0c853f2a1ba78af9946c0271a1510cb26b554e60c7f674bea5d0eeb00bcfe0a0

Observation a9c73746-3946-44d0-a624-3f671cf976ff · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 8

Resolution
malformed identifier
raw_fallback, observed 2026-08-14T12:52:48.559207Z

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.

source=pdf_text observed=2026-08-14T12:52:46.425355Z digest=sha256:ac07527deef3dc23df13859e51c84eb059779abd8961c95835821c0bfe001a4f

Observation 25dbba4f-83b5-4b9b-94d1-fe06d9fc7b83 · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 9

Resolution
verified exact
doi, observed 2026-08-14T12:52:47.105000Z

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.

source=pdf_text observed=2026-08-14T12:52:46.432856Z digest=sha256:ea079e4ca50c734d409f87a010df6426f1025270c9877a2df35877bd5980ad39

Observation aa8bc825-0f39-44bf-850b-ae1cc2725e19 · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:52:48.535547Z

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.

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Observation a048f652-84e9-4d3b-8baa-3ce0ee307081 · outbound

This paper cites Fort and E.

Quantitative convergence rates for reversible Markov chains via strong random times Fort and E

Reference 11

Resolution
verified exact
doi, observed 2026-08-14T12:52:47.063983Z

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.

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Observation 457a944e-e4ba-4d1d-8a98-05a50a405a98 · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:52:48.508418Z

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.

source=pdf_text observed=2026-08-14T12:52:46.464832Z digest=sha256:a7ddb3f21558d2e5d329ff780d7f1f6eabc572bb084db3384ab495f228a6731d

Observation c08fcbbe-f7a7-479a-b60b-b532ec8933d4 · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 13

Resolution
verified exact
raw_fallback, observed 2026-08-14T12:52:48.195455Z

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.

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Observation 611a167a-fab5-4c03-b827-8782865926c1 · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:52:48.485700Z

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.

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Observation 173d42cd-2526-4db3-9d94-ee9a3f1d4f22 · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-14T12:52:46.495996Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:52:46.495996Z digest=sha256:94e41c73a0599382d7dd3df4ac0044fbccb6f5230ae220424ee5b89779f68ab4

Observation 1d72d3c8-c0ae-4033-9ce5-828358403a24 · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 16

Resolution
verified exact
doi, observed 2026-08-14T12:52:47.034122Z

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.

source=pdf_text observed=2026-08-14T12:52:46.502846Z digest=sha256:5c78f17d4796b1f10d6b25234d8cdd96d500da5f04e210f0473976f686f99d19

Observation 0b1f9c45-c9a9-40e8-bd3f-b364ecc05c57 · outbound

This paper cites Coupling from the past.

Quantitative convergence rates for reversible Markov chains via strong random times Coupling from the past

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:48.465427Z

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.

source=pdf_text observed=2026-08-14T12:52:46.508032Z digest=sha256:7c3fd4545e8968c90c065433f88c4342cd5adb68cc0f368c62e484f608cad16a

Observation 42fdf394-77c3-478f-a5f7-924cf0b32edb · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 18

Resolution
verified exact
doi, observed 2026-08-14T12:52:47.007195Z

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.

source=pdf_text observed=2026-08-14T12:52:46.514713Z digest=sha256:c3ecabdf444dbf60f80290296dce3b974d5d41f0941ed3aaa8a45c8e9c6c81ef

Observation 023269b0-5bf0-45b5-af2c-00ddb1fb8e9e · outbound

This paper cites Marchev and J.

Quantitative convergence rates for reversible Markov chains via strong random times Marchev and J

Reference 19

Resolution
verified exact
doi, observed 2026-08-14T12:52:46.981000Z

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.

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Observation 140b3e6d-b5c4-40a3-8b2e-d9421a16faaa · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 20

Resolution
malformed identifier
raw_fallback, observed 2026-08-14T12:52:48.433299Z

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.

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Observation 52207d48-a984-4713-b513-62ad5b1527dd · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-14T12:52:46.559189Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:52:46.559189Z digest=sha256:cc9cb63476d00a9c80e36be48ca92656bf80d5b151f5f57d38705aea9796469e

Observation cef253a8-e086-4cc0-9b88-b7f46dbb1609 · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:52:48.385921Z

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.

source=pdf_text observed=2026-08-14T12:52:46.566260Z digest=sha256:e19fe44df942322e9a5dee3bc60223f17ae9d1515e4533784327b277c3b18943

Observation fea6546b-14ba-43f0-a51a-d2c3673a8299 · outbound

This paper cites Mykland, L.

Quantitative convergence rates for reversible Markov chains via strong random times Mykland, L

Reference 23

Resolution
verified exact
raw_fallback, observed 2026-08-14T12:52:47.697080Z

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.

source=pdf_text observed=2026-08-14T12:52:46.593365Z digest=sha256:e47f3b11a07f29f152dd43a7265456dacb572568c6596e96fae14f9ed63bbebe

Observation 0dcc596b-e6a1-4246-8ae4-457b1289cce8 · outbound

This paper cites Nummelin.

Quantitative convergence rates for reversible Markov chains via strong random times Nummelin

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-14T12:52:46.604210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:52:46.604210Z digest=sha256:a09492dc1c0e2200f1703e4372dcb3192c98cb7bf5ecef49b78a2c15ca4180b2

Observation ce8cb971-3994-4819-a802-71a4fd1c1912 · outbound

This paper cites Nummelin.

Quantitative convergence rates for reversible Markov chains via strong random times Nummelin

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:48.360731Z

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.

source=pdf_text observed=2026-08-14T12:52:46.609362Z digest=sha256:cb260f6888fc4b98b8064a18ad8d29d5dd822bbc3a525c17f753d1eae4a97202

Observation 71707b00-bf31-4240-bbf4-7e297739b5ad · outbound

This paper cites Nummelin and P.

Quantitative convergence rates for reversible Markov chains via strong random times Nummelin and P

Reference 26

Resolution
verified exact
doi, observed 2026-08-14T12:52:46.918484Z

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.

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Observation 8f23927b-166c-445a-8a30-3404e075d091 · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:52:48.330616Z

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.

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Observation 44020c82-0219-42e4-a46c-0627f54494eb · outbound

This paper cites Reed and B.

Quantitative convergence rates for reversible Markov chains via strong random times Reed and B

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:48.284272Z

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.

source=pdf_text observed=2026-08-14T12:52:46.639648Z digest=sha256:79376f8a9546afbad50a2cc3993041647deb857f11126dcf4a0d6050adcf31a2

Observation 8228926b-9d4c-4b93-b227-639a345fb6c7 · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:52:48.260285Z

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.

source=pdf_text observed=2026-08-14T12:52:46.654818Z digest=sha256:41476516efe2e7f95c781298a2677f2f84faaf99cc32e3dc8cb903197acb1266

Observation 0a91087b-7932-4208-b789-60d8b277a626 · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-14T12:52:46.662537Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:52:46.662537Z digest=sha256:f8ff0d975d877b3146ad1f73b8d2d2ea910b9d4d371595d289f4bda75d01c82b

Observation 29619c90-d58f-486b-a13d-cfa39722f383 · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-14T12:52:46.676097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:52:46.676097Z digest=sha256:59db9676bbbd64d2be0abe23dc6cd93b83761d1c4f7b5729b20a0dda70fbfe1f

Observation 05961775-0890-41b7-8d39-749c06513e7f · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 32

Resolution
verified exact
doi, observed 2026-08-14T12:52:46.824723Z

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.

source=pdf_text observed=2026-08-14T12:52:46.689966Z digest=sha256:f38627a7e85b0a666d03b5deba077cca9e5e1c905dcbc7f717ef5bc19c9611d7

Observation 689b7b46-af3f-489b-a832-12d5208fc5a9 · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:52:48.218100Z

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.

source=pdf_text observed=2026-08-14T12:52:46.698845Z digest=sha256:d3954bb7d33e9a1885263210e5cb9de4fd915ce9f9f970563ee7dff20d5a6798

Observation 0657ce1b-b4cc-4b3d-b2d2-4236b7effb32 · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-14T12:52:46.707236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:52:46.707236Z digest=sha256:a896c0b913975453aef984a8627ce8dd664415ae74f227244922125720fe23a1

Observation 12150cf1-fc00-4a19-83fc-512cad0520b5 · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-14T12:52:46.714954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:52:46.714954Z digest=sha256:b17305cfda89644a30b5ba830b12dcf37168694cf372d84cfde9e556e082ccec

Observation 03516c8b-ce0f-4745-9140-74bbc6f7fca0 · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-14T12:52:46.722140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:52:46.722140Z digest=sha256:e340cac0cd4a2189cc764e38ea2ee6a787cdbb82b6c636d762e1fea6e6295201

Observation 114a86a7-b356-4522-9cb6-d1cbf241c5f3 · outbound

This paper cites an unresolved cited work.

Quantitative convergence rates for reversible Markov chains via strong random times Unresolved cited work

Reference 2010

Resolution
unresolved
no resolver link, observed 2026-08-14T12:52:46.581421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:52:46.581421Z digest=sha256:e2f3ec5146e445c1742bfa1c885d3e14da325e05eb55b113249a3cd0048d893d

Pith citing papers

No inbound Pith citation observations are available.