Paper Citation Record · LEDGER

A universal cutoff phenomenon for mean-field exchange models

As of 24 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2506.12816.

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

pith.paper-citation-record.v1
2506.12816 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:24:05.826677Z

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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T05:25:35.079435Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

36 of 36 outbound references displayed

verified exact2
verified fuzzy23
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a87d817c-5218-41db-a52a-375ecd1a9a60 · outbound

This paper cites R eversible M arkov C hains and R andom W alks on G raphs, 2002.

A universal cutoff phenomenon for mean-field exchange models R eversible M arkov C hains and R andom W alks on G raphs, 2002

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T20:24:05.669891Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f48e9d2-9614-4909-8fec-4ac4664f8aee · outbound

This paper cites A lecture on the averaging process.

A universal cutoff phenomenon for mean-field exchange models A lecture on the averaging process

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:06.356356Z

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.

Observation 3a0a5b69-154a-4141-a1a2-dc494bb57048 · outbound

This paper cites Rates of convergence to equilibrium for potlatch and smoothing processes.

A universal cutoff phenomenon for mean-field exchange models Rates of convergence to equilibrium for potlatch and smoothing processes

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:06.340960Z

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.

Observation 5fd1a8ce-234e-4b3a-99d3-1a423e98e53b · outbound

This paper cites Random walk on sparse random digraphs.

A universal cutoff phenomenon for mean-field exchange models Random walk on sparse random digraphs

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:06.325773Z

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.

Observation 937c96c0-fac0-4952-802f-cb80c6cbb148 · outbound

This paper cites Cutoff at the ``entropic time'' for sparse M arkov chains.

A universal cutoff phenomenon for mean-field exchange models Cutoff at the ``entropic time'' for sparse M arkov chains

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:06.309629Z

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.

Observation 202a2934-15d3-49cb-97ff-51551ad3a383 · outbound

This paper cites On the spectral gap of the K ac walk and other binary collision processes.

A universal cutoff phenomenon for mean-field exchange models On the spectral gap of the K ac walk and other binary collision processes

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T20:24:05.695542Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd0705ef-05cc-42f2-bf95-002190bcae76 · outbound

This paper cites an unresolved cited work.

A universal cutoff phenomenon for mean-field exchange models Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T20:24:05.700152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7fdee8a1-880a-4b31-8e53-f806a1086af7 · outbound

This paper cites Carlen, Maria C.

A universal cutoff phenomenon for mean-field exchange models Carlen, Maria C

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:06.273850Z

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.

Observation 683985dc-7eeb-4ddf-943a-79a34c8c30c6 · outbound

This paper cites A phase transition for repeated averages.

A universal cutoff phenomenon for mean-field exchange models A phase transition for repeated averages

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:06.258651Z

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.

Observation b7e86711-e57e-47f4-b477-8b64f7af6d1e · outbound

This paper cites Statistical physics of social dynamics.

A universal cutoff phenomenon for mean-field exchange models Statistical physics of social dynamics

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:06.243074Z

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.

Observation 71f5400a-083c-41ff-8276-7cabc9d3589e · outbound

This paper cites Mixing time of the adjacent walk on the simplex.

A universal cutoff phenomenon for mean-field exchange models Mixing time of the adjacent walk on the simplex

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T20:24:05.715279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d87691f6-5fd6-43f2-b7ad-b474126b81c4 · outbound

This paper cites Cutoff for the averaging process on the hypercube and complete bipartite graphs.

A universal cutoff phenomenon for mean-field exchange models Cutoff for the averaging process on the hypercube and complete bipartite graphs

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:06.218122Z

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.

Observation 3f47663f-c4b2-4edc-8729-455cc51d535b · outbound

This paper cites Repeated Block Averages: entropic time and mixing profiles.

A universal cutoff phenomenon for mean-field exchange models Repeated Block Averages: entropic time and mixing profiles

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-15T20:24:05.907172Z

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.

Observation fffb4c8a-8522-4088-b2d3-287e9abd54eb · outbound

This paper cites Ferrari, and Davide Gabrielli.

A universal cutoff phenomenon for mean-field exchange models Ferrari, and Davide Gabrielli

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:06.202679Z

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.

Observation 8bc2d6e0-911d-4baf-9e38-4b755ccd0f98 · outbound

This paper cites Bounds for K ac's master equation.

A universal cutoff phenomenon for mean-field exchange models Bounds for K ac's master equation

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:06.188642Z

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.

Observation e7ea345e-3701-4d8f-b4d4-9559d670451d · outbound

This paper cites Grigo, K.

A universal cutoff phenomenon for mean-field exchange models Grigo, K

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:06.172841Z

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.

Observation eeea77bc-570b-492e-b4c9-357fefdcc60b · outbound

This paper cites Intertwining and P ropagation of M ixtures for G eneralized KMP M odels and H armonic M odels.

A universal cutoff phenomenon for mean-field exchange models Intertwining and P ropagation of M ixtures for G eneralized KMP M odels and H armonic M odels

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:06.156701Z

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.

Observation 12dba41a-535f-446b-b672-5e49296acacd · outbound

This paper cites Kac's random walk on the special orthogonal group mixes in polynomial time.

A universal cutoff phenomenon for mean-field exchange models Kac's random walk on the special orthogonal group mixes in polynomial time

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:06.140769Z

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.

Observation b1e02fd9-92d1-42f9-8a6f-77f2211f0307 · outbound

This paper cites an unresolved cited work.

A universal cutoff phenomenon for mean-field exchange models Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T20:24:05.749433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 922591e6-40fa-4e59-b5e8-9632cb8f67c6 · outbound

This paper cites Kipnis, C.

A universal cutoff phenomenon for mean-field exchange models Kipnis, C

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T20:24:05.754016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 774e3f79-f9aa-4162-8ac3-315bb334b576 · outbound

This paper cites Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs.

A universal cutoff phenomenon for mean-field exchange models Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T20:24:05.758531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2ae2f8b-def0-469a-b596-062ccb1c17f1 · outbound

This paper cites Mixing time and cutoff for the adjacent transposition shuffle and the simple exclusion.

A universal cutoff phenomenon for mean-field exchange models Mixing time and cutoff for the adjacent transposition shuffle and the simple exclusion

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:06.104582Z

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.

Observation 11fccdc3-ca5d-410f-8a4a-022aff384239 · outbound

This paper cites Stochastic interacting systems in life and social sciences , volume 5 of De Gruyter Series in Probability and Stochastics.

A universal cutoff phenomenon for mean-field exchange models Stochastic interacting systems in life and social sciences , volume 5 of De Gruyter Series in Probability and Stochastics

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:06.087685Z

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.

Observation dd1583f2-8b23-4ff8-bb98-39bdbb6edb01 · outbound

This paper cites Hydrodynamic limit and cutoff for the biased adjacent walk on the simplex.

A universal cutoff phenomenon for mean-field exchange models Hydrodynamic limit and cutoff for the biased adjacent walk on the simplex

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:06.070910Z

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.

Observation e934861b-cb89-42a6-962f-d1cbfe43db42 · outbound

This paper cites Cutoff phenomena for random walks on random regular graphs.

A universal cutoff phenomenon for mean-field exchange models Cutoff phenomena for random walks on random regular graphs

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-15T20:24:05.776462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bde972e8-d30e-4757-aa79-2d7ab79b9efe · outbound

This paper cites Kac's program in kinetic theory.

A universal cutoff phenomenon for mean-field exchange models Kac's program in kinetic theory

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:06.042575Z

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.

Observation c2a41dc2-114b-40c4-af6e-0b261ab53f1f · outbound

This paper cites Repeated averages on graphs.

A universal cutoff phenomenon for mean-field exchange models Repeated averages on graphs

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:06.027151Z

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.

Observation e787c690-1a7b-4901-b3be-2bc476554230 · outbound

This paper cites On the convergence to equilibrium of K ac's random walk on matrices.

A universal cutoff phenomenon for mean-field exchange models On the convergence to equilibrium of K ac's random walk on matrices

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:06.012555Z

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.

Observation 79300cfb-22dc-443c-b3c3-69531aefc0ae · outbound

This paper cites Pillai and Aaron Smith.

A universal cutoff phenomenon for mean-field exchange models Pillai and Aaron Smith

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:05.998121Z

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.

Observation d1fbaf9e-155b-4210-828c-132aac1646e5 · outbound

This paper cites Pillai and Aaron Smith.

A universal cutoff phenomenon for mean-field exchange models Pillai and Aaron Smith

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:05.983620Z

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.

Observation caee4186-4502-4e50-8875-33c031fff022 · outbound

This paper cites Mixing of the averaging process and its discrete dual on finite-dimensional geometries.

A universal cutoff phenomenon for mean-field exchange models Mixing of the averaging process and its discrete dual on finite-dimensional geometries

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T20:24:05.803824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec870215-ca4e-42ed-aabb-ac4b859372b1 · outbound

This paper cites Mixing points on a circle.

A universal cutoff phenomenon for mean-field exchange models Mixing points on a circle

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:05.957319Z

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.

Observation c643d61c-4095-4442-b78c-4f92eff875e2 · outbound

This paper cites Cutoff for non-negatively curved M arkov chains.

A universal cutoff phenomenon for mean-field exchange models Cutoff for non-negatively curved M arkov chains

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-15T20:24:05.813055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea70d4ae-356c-4ead-a6dd-0ba97cf4f527 · outbound

This paper cites Cutoff for non-negatively curved diffusions.

A universal cutoff phenomenon for mean-field exchange models Cutoff for non-negatively curved diffusions

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-15T20:24:05.869583Z

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.

Observation 9ead5c50-c0a5-4458-a3bf-45012fa5bf39 · outbound

This paper cites A G ibbs sampler on the n -simplex.

A universal cutoff phenomenon for mean-field exchange models A G ibbs sampler on the n -simplex

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-15T20:24:05.822440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1cce0ea-0813-40ec-a9d2-424e1ea455b2 · outbound

This paper cites Cercignani's conjecture is sometimes true and always almost true.

A universal cutoff phenomenon for mean-field exchange models Cercignani's conjecture is sometimes true and always almost true

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:24:05.922532Z

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.

Pith citing papers

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

Total variation cutoff for Kac's walk on the sphere cites this paper.

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.