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Paper Citation Record · LEDGER

Total variation cutoff for Kac's walk on the sphere

As of 21 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2607.13401.

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

pith.paper-citation-record.v1
2607.13401 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T05:25:35.877856Z

measured 15 of 15 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 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

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d433e293-0709-4c14-9e65-8c76384f23d1 · outbound

This paper cites an unresolved cited work.

Total variation cutoff for Kac's walk on the sphere Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T05:25:34.869358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:25:34.869358Z digest=sha256:2b90851eb5f1d9562cbb808786b9bff6e6181f0e415f1f5ebb1047d58f6ac188

Observation f0b6e9f6-0e99-48bb-af5a-98b82ca05f49 · outbound

This paper cites Latin American Journal of Probability and Mathematical Statistics4(2008), 205–222.

Total variation cutoff for Kac's walk on the sphere Latin American Journal of Probability and Mathematical Statistics4(2008), 205–222

Reference 2

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unresolved
no resolver link, observed 2026-08-02T05:25:34.962251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:25:34.962251Z digest=sha256:29fcc28a804a5ac3101f142e66ffe8c0009e78510cc71047cda2c3741e3bcfc7

Observation 00d1479f-db1a-4662-a4f2-edfa924d81bd · outbound

This paper cites A universal cutoff phenomenon for mean-field exchange models.

Total variation cutoff for Kac's walk on the sphere A universal cutoff phenomenon for mean-field exchange models

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T05:25:35.079435Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:25:35.079435Z digest=sha256:6d46c5f2b6560d20043b4154e0ac07eeecc05dd3869c4a8182c273e87a05f5b2

Observation c0f4aec7-3183-4e48-a101-b3e9d419575b · outbound

This paper cites an unresolved cited work.

Total variation cutoff for Kac's walk on the sphere Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-02T05:25:35.135789Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:25:35.135789Z digest=sha256:c5a7752ca9a440a630992bc38c8e773d26e1866d325da1ab83e03c08fc4ad024

Observation 17d87262-fafa-434e-bc2b-6602539f32f6 · outbound

This paper cites Carlen, Maria C.

Total variation cutoff for Kac's walk on the sphere Carlen, Maria C

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T05:25:35.217967Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:25:35.217967Z digest=sha256:944b1d76aa1d12b8868fdd6e7e1aa3ba688709750bd21c0d169e545e85fb916e

Observation 88bf59d3-f6e2-4f08-892e-0ddbfea18d1a · outbound

This paper cites Carlen, Elliott H.

Total variation cutoff for Kac's walk on the sphere Carlen, Elliott H

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T05:25:35.347733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:25:35.347733Z digest=sha256:5cf3521486b0e9575ad5284baf94bc815b0c4ab57368a7a472fc4ac7de5ffb39

Observation 1e07fd56-b4c6-4c02-8715-0ccbb0840956 · outbound

This paper cites an unresolved cited work.

Total variation cutoff for Kac's walk on the sphere Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T05:25:35.389322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:25:35.389322Z digest=sha256:83c1d27ebac7402bf178d774b3ef7929711d32ebba4768d6dfd90d2b22913aa9

Observation 72a138ea-811a-4898-8d86-d6a83de69411 · outbound

This paper cites an unresolved cited work.

Total variation cutoff for Kac's walk on the sphere Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-02T05:25:35.438797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:25:35.438797Z digest=sha256:56505e25c6a059cb54a1f647795f6e35c1fdf44f5c807c296399b49c4ca959e1

Observation 24df29f1-0f28-4ba9-8e3b-09209c1973fa · outbound

This paper cites an unresolved cited work.

Total variation cutoff for Kac's walk on the sphere Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T05:25:35.513363Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:25:35.513363Z digest=sha256:09dce59a00d69639e8ac7c4a5dfb706355523058fbb8c83f136bec10674fdf6d

Observation fa310f31-b2fa-4f6b-9c19-a4942bfd5312 · outbound

This paper cites an unresolved cited work.

Total variation cutoff for Kac's walk on the sphere Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T05:25:35.558490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:25:35.558490Z digest=sha256:8202fc88426862f415901d3062d92cf0bb0e2070bef1e849dd46582796749fc2

Observation a5d90f25-f600-4c5b-b38f-2d840f086a53 · outbound

This paper cites III, University of California Press, Berkeley and Los Angeles, 1956, pp.

Total variation cutoff for Kac's walk on the sphere III, University of California Press, Berkeley and Los Angeles, 1956, pp

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-02T05:25:35.634415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:25:35.634415Z digest=sha256:12c998d621aea8cea164e306ddc3a235c15eb89253a6013dc55bc5ced1400500

Observation 26541a62-3db8-4dad-8014-9d4a6b55588b · outbound

This paper cites Maslen,The eigenvalues of Kac’s master equation, Mathematische Zeitschrift243(2003), 291–331.

Total variation cutoff for Kac's walk on the sphere Maslen,The eigenvalues of Kac’s master equation, Mathematische Zeitschrift243(2003), 291–331

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-02T05:25:35.705841Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:25:35.705841Z digest=sha256:e5d841e1acf67f2efdb409a713053250187de24a3586f9ee4b48ae020f9cdf6c

Observation 963bf664-a48c-45dc-acc5-df057e4fff5a · outbound

This paper cites an unresolved cited work.

Total variation cutoff for Kac's walk on the sphere Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-02T05:25:35.768045Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:25:35.768045Z digest=sha256:0a8eb7777b8c52583522ee3c11beb0f582dd54b81ef98d60164ea9d924257da8

Observation 220323fd-cfe7-4d8a-8bc4-1dba303db99e · outbound

This paper cites an unresolved cited work.

Total variation cutoff for Kac's walk on the sphere Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-02T05:25:35.806927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:25:35.806927Z digest=sha256:417159bd5f4c7b66e05c5525e16760584871cfb9105eb8adb770157531b6c4b9

Observation cc0802ea-4758-4065-848a-362af849279a · outbound

This paper cites Pillai and Aaron Smith,Kac’s walk onn-sphere mixes innlognsteps, The Annals of Applied Prob- ability27(2017), 631–650.

Total variation cutoff for Kac's walk on the sphere Pillai and Aaron Smith,Kac’s walk onn-sphere mixes innlognsteps, The Annals of Applied Prob- ability27(2017), 631–650

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-02T05:25:35.877856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:25:35.877856Z digest=sha256:ffb31710dc072dbb599f7c508930e81d55a0de80da65acf5f6d7696c7a63ee08

Pith citing papers

No inbound Pith citation observations are available.