Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-02T05:25:35.877856Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-02T05:25:35.877856Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
15 of 15 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation d433e293-0709-4c14-9e65-8c76384f23d1 · outbound
Total variation cutoff for Kac's walk on the sphere Unresolved cited work
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0b6e9f6-0e99-48bb-af5a-98b82ca05f49 · outbound
Total variation cutoff for Kac's walk on the sphere Latin American Journal of Probability and Mathematical Statistics4(2008), 205–222
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 00d1479f-db1a-4662-a4f2-edfa924d81bd · outbound
Total variation cutoff for Kac's walk on the sphere A universal cutoff phenomenon for mean-field exchange models
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c0f4aec7-3183-4e48-a101-b3e9d419575b · outbound
Total variation cutoff for Kac's walk on the sphere Unresolved cited work
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 17d87262-fafa-434e-bc2b-6602539f32f6 · outbound
Total variation cutoff for Kac's walk on the sphere Carlen, Maria C
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 88bf59d3-f6e2-4f08-892e-0ddbfea18d1a · outbound
Total variation cutoff for Kac's walk on the sphere Carlen, Elliott H
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1e07fd56-b4c6-4c02-8715-0ccbb0840956 · outbound
Total variation cutoff for Kac's walk on the sphere Unresolved cited work
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 72a138ea-811a-4898-8d86-d6a83de69411 · outbound
Total variation cutoff for Kac's walk on the sphere Unresolved cited work
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 24df29f1-0f28-4ba9-8e3b-09209c1973fa · outbound
Total variation cutoff for Kac's walk on the sphere Unresolved cited work
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fa310f31-b2fa-4f6b-9c19-a4942bfd5312 · outbound
Total variation cutoff for Kac's walk on the sphere Unresolved cited work
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a5d90f25-f600-4c5b-b38f-2d840f086a53 · outbound
Total variation cutoff for Kac's walk on the sphere III, University of California Press, Berkeley and Los Angeles, 1956, pp
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 26541a62-3db8-4dad-8014-9d4a6b55588b · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 963bf664-a48c-45dc-acc5-df057e4fff5a · outbound
Total variation cutoff for Kac's walk on the sphere Unresolved cited work
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 220323fd-cfe7-4d8a-8bc4-1dba303db99e · outbound
Total variation cutoff for Kac's walk on the sphere Unresolved cited work
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cc0802ea-4758-4065-848a-362af849279a · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.