Pith. sign in

Paper Citation Record · LEDGER

Quantitative convergence rates for reversible Markov chains via strong random times

As of 23 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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.375657Z digest=sha256:e0cd23685c3c24ca3a81ca63213d40eea46f864f001fb6e4d3f0348a032c06f7

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.383028Z digest=sha256:bca073b9d6d297152884bc78af0256a52e30656e62e7aecd5c91a40c1e38606d

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.398184Z digest=sha256:2d4720bf95f159ed3925016a8bc828af6de53ac5664a054e9ba362a48e2c1646

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.425355Z digest=sha256:d7cd4dc01c1d48244cc68c6e42fd595fb20bb5dabd2731eb70d8c09a88398c6a

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.432856Z digest=sha256:daf0a8d2a43c68079fe5ba2164b6e3ad2ef169907c1bc3a29c697d2810cbcc0c

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.444205Z digest=sha256:96609e51999cce822793c96132bc4ef3e36434d380013794dcd4a8e8e43357dd

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.453034Z digest=sha256:b262cfde2cc72281ff7a851efc2e029e77ff6989a64242ec5c5d971a456d0a02

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.464832Z digest=sha256:6e2f64413bf23a8ba0415800ef450869fb142c0b5516ea20567d21622b1c6218

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.475795Z digest=sha256:b87777edf911b2408e3e88edea1d5cf07070d8279b90095defa6c6968b2c239c

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.487413Z digest=sha256:e94e3d66b3fffd33b75f627c12a6f42b7a53cb8c2dfa52fecd154c593d763d10

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.502846Z digest=sha256:52d0d797aa87e5dc5574b77e85d2ba5588baddfb65aed59ed9ac80c759018cca

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.508032Z digest=sha256:eb887836dd39b504e47c917421a1bbfcbf59407777c9ac19d757fb276fd0e658

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.514713Z digest=sha256:537203c91bc1e356daa5d097a1da0c33a783fe523918040c54b689a4b691c38a

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.535026Z digest=sha256:2cbed10e4be75b90de818ebd8dcad7ff974c8a2931e27d03db261e52b976bed1

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.550608Z digest=sha256:0ba5b4d05b1a352ac1ed8f4aba81fc4007ba76900a87553dfeda2d3b41f9efd6

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.566260Z digest=sha256:07ab08e2934ac495e24e0ed8cfe56ee5e0cd38b37ea1ff180420de215b3eb6ee

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.593365Z digest=sha256:1286189f75e3eab282c7f5262d99aca06f07b9e634187ea2031fd6052336129f

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.609362Z digest=sha256:3f9a0b5f5488262e010f853625dce4ba45c0101b470961ff610476bf21401fba

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.614660Z digest=sha256:205c4d4ad4092ac6b3b7e57d3d1042d01b3aa846916b71953debcd147ae53c60

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.629435Z digest=sha256:92fb2b8fe1bd3fb0a33046dfb5f1bff92fed0f510db0ab2dcbe1b339807f9360

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.639648Z digest=sha256:00523306d270e5a773ea7c7d8d8b00d5557cb1dd718274d46da6b7bf2bb59d06

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.654818Z digest=sha256:01489d4c83d05813fb7d594fb3e6a68bdc3ae0a136008d9c086350bc6a8d4f14

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.689966Z digest=sha256:cdf95f033b37d6c50b025640a06d59642ec04fe1412de27988768685a5ce9b4a

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:52:46.698845Z digest=sha256:2dfb5cbb5f01bd88e8b53e399c41ce03a2f498273882859b3a16cf862f04739d

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.