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Paper Citation Record · LEDGER

The critical KPZ scale for the Averaging Process

As of 22 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2607.21443.

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

pith.paper-citation-record.v1
2607.21443 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T07:36:24.564863Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

41 of 41 outbound references displayed

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External citation measurements

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Outbound references

Observation c5c1e7d5-b4f7-4122-9af2-0b47819e389f · outbound

This paper cites A lecture on the averaging process.

The critical KPZ scale for the Averaging Process A lecture on the averaging process

Reference 1

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source=arxiv_source observed=2026-08-01T07:36:20.542980Z digest=sha256:b793f993aa5e99de8965297f2bf99d21d539190377e5f464c0d31908700c03a0

Observation a438149a-88ca-4c1b-b29b-adee080bcee7 · outbound

This paper cites Stopping times and tightness.

The critical KPZ scale for the Averaging Process Stopping times and tightness

Reference 2

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source=arxiv_source observed=2026-08-01T07:36:20.641606Z digest=sha256:6685c4996dafdb1b8fb9bd3be18b04c388ba423a5c786a108826634a17939463

Observation 59c58e61-579c-47c6-872e-a6f086b159e5 · outbound

This paper cites Stopping times and tightness.

The critical KPZ scale for the Averaging Process Stopping times and tightness

Reference 3

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source=arxiv_source observed=2026-08-01T07:36:20.770331Z digest=sha256:e63fd32c231f29fb3d53c781bce41bcb1b15a67ab57a89d80945f788c9e7e771

Observation cb6cd9b1-be43-4d2c-b6c7-676a8d74724c · outbound

This paper cites Random-walk in beta-distributed random environment.

The critical KPZ scale for the Averaging Process Random-walk in beta-distributed random environment

Reference 4

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source=arxiv_source observed=2026-08-01T07:36:20.873597Z digest=sha256:93ef72715ad3add2cbf7c56bfc1574bd7026043cf5c6f9d176a3d9c703eace47

Observation dfe2a369-de88-499f-bdcf-0257a7842d1b · outbound

This paper cites Entropy inequalities for random walks and permutations.

The critical KPZ scale for the Averaging Process Entropy inequalities for random walks and permutations

Reference 5

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source=arxiv_source observed=2026-08-01T07:36:20.994334Z digest=sha256:0205d8300d8e9a3cbed7a39c0ad35537046a2e5e142fa1f5307c332b84e416ec

Observation 7b0e4787-1641-4c65-96f5-ce7c5e9970d9 · outbound

This paper cites Convergence of the KMP model to the KPZ equation.

The critical KPZ scale for the Averaging Process Convergence of the KMP model to the KPZ equation

Reference 6

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source=arxiv_source observed=2026-08-01T07:36:21.134494Z digest=sha256:0986ea72134b56c290d9a49d97285ece3193f5aa719fa4edd110d1a39e546566

Observation 6ec8e975-c1d9-48ca-9514-5ff4ffe4444b · outbound

This paper cites Randomized gossip algorithms.

The critical KPZ scale for the Averaging Process Randomized gossip algorithms

Reference 7

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source=arxiv_source observed=2026-08-01T07:36:21.301366Z digest=sha256:b9d28af6ac3d476d4138fa8995530c72e3cb0adf0b3848bc43683570c6db6440

Observation 984ddb89-2127-4d7c-9f25-eff5f2aa7925 · outbound

This paper cites Convergence of probability measures.

The critical KPZ scale for the Averaging Process Convergence of probability measures

Reference 8

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source=arxiv_source observed=2026-08-01T07:36:21.372183Z digest=sha256:b9b3a87a0e6e52c318d6e2114aeda6c5bae408d72f664af78f8aacf9edd18611

Observation 99659ebf-9a6b-4b4d-9e25-01946ebebffb · outbound

This paper cites Moderate deviations for diffusion in time dependent random media.

The critical KPZ scale for the Averaging Process Moderate deviations for diffusion in time dependent random media

Reference 9

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source=arxiv_source observed=2026-08-01T07:36:21.406910Z digest=sha256:c6fbb1fd571aa78aeb13493f245cff59ae436a7d239d31357bcc60d2d919c8dd

Observation 16c733ec-0ac2-4a48-bd81-23da080d0873 · outbound

This paper cites Large deviations for sticky B rownian motions.

The critical KPZ scale for the Averaging Process Large deviations for sticky B rownian motions

Reference 10

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source=arxiv_source observed=2026-08-01T07:36:21.481824Z digest=sha256:1831c391bd1ad16a082a9b65d5d3a74e78169ad7ff4d33c0c5b576985b2eb9e8

Observation 0e0c1823-5f69-4480-b353-1052133abb90 · outbound

This paper cites org o , Ant\'onia F\.

The critical KPZ scale for the Averaging Process org o , Ant\'onia F\

Reference 11

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source=arxiv_source observed=2026-08-01T07:36:21.535534Z digest=sha256:af0d9cd8263da1bb645b9739598d6cbd30624a06c96a44b95a03eb7ea2012dab

Observation e5daeef8-0753-4b65-abfd-8ab514c900f9 · outbound

This paper cites A phase transition for repeated averages.

The critical KPZ scale for the Averaging Process A phase transition for repeated averages

Reference 12

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source=arxiv_source observed=2026-08-01T07:36:21.588540Z digest=sha256:11ac740ae5781b9f7e5f38607b59795def6d6eb4bf8642fe3f37d2b0f974cd33

Observation 87e39005-43d3-4b6a-a655-28ff8aae559f · outbound

This paper cites Campos, Tertuliano Franco, Markus Heydenreich, and Marcel Schrocke.

The critical KPZ scale for the Averaging Process Campos, Tertuliano Franco, Markus Heydenreich, and Marcel Schrocke

Reference 13

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source=arxiv_source observed=2026-08-01T07:36:21.651704Z digest=sha256:f4ae1d9b6951d532b4ed53ed3ed350e064773049aded273a61ce554d7cbb48ab

Observation 5ded4e52-84b2-4bae-b4ac-f9bd6ec890aa · outbound

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

The critical KPZ scale for the Averaging Process Cutoff for the averaging process on the hypercube and complete bipartite graphs

Reference 14

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source=arxiv_source observed=2026-08-01T07:36:21.747990Z digest=sha256:29aa76a1612d2005765381d9d3a7dd003c0452612309dce675638a9f13d5f2ec

Observation 45305bba-0ecf-4fa7-a63b-af309ad9240c · outbound

This paper cites The critical 2d stochastic heat flow.

The critical KPZ scale for the Averaging Process The critical 2d stochastic heat flow

Reference 15

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source=arxiv_source observed=2026-08-01T07:36:21.932155Z digest=sha256:2d77f3f4fc7fb2499506e7f2517debf5d6818af79d78a286d1e4c0cf7a41ffb7

Observation 4ada4a2c-20e2-4d3a-a1b2-b2957f746328 · outbound

This paper cites Singularity and regularity of the critical 2D Stochastic Heat Flow.

The critical KPZ scale for the Averaging Process Singularity and regularity of the critical 2D Stochastic Heat Flow

Reference 16

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source=arxiv_source observed=2026-08-01T07:36:22.062429Z digest=sha256:0a1281ba9e578976c143f41830007a8fdbebb704f69c30efe7149913824c788f

Observation 622074ee-a3c5-4f41-82a8-89832f700411 · outbound

This paper cites K PZ equation limit of sticky B rownian motion.

The critical KPZ scale for the Averaging Process K PZ equation limit of sticky B rownian motion

Reference 17

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source=arxiv_source observed=2026-08-01T07:36:22.173775Z digest=sha256:d8fa429eca4f14a90184ecfe0587b436d0b9aa76515d0a972ef52490aa57418b

Observation 2f40341a-3d1d-4686-837b-8a6d3e7cb34f · outbound

This paper cites Multiplicative SHE limit of random walks in space-time random environments.

The critical KPZ scale for the Averaging Process Multiplicative SHE limit of random walks in space-time random environments

Reference 18

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source=arxiv_source observed=2026-08-01T07:36:22.212671Z digest=sha256:3f80092f2895a5bb31b6aee86cb76bc6527cdb1ff518193056f951b9988ce302

Observation da87ae64-34ef-4b02-9fef-788e405ac9bc · outbound

This paper cites an unresolved cited work.

The critical KPZ scale for the Averaging Process Unresolved cited work

Reference 19

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source=arxiv_source observed=2026-08-01T07:36:22.247739Z digest=sha256:0653f05abb8e0f17e2d1b16b8a4ecd36a5a211eeba5a3afaaed7256cb81b995e

Observation 34ac90b8-298b-4980-a2f6-d34c74e5d8e0 · outbound

This paper cites Random walks in space-time random media in all spatial dimensions: the full subcritical fluctuation regime.

The critical KPZ scale for the Averaging Process Random walks in space-time random media in all spatial dimensions: the full subcritical fluctuation regime

Reference 20

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source=arxiv_source observed=2026-08-01T07:36:22.323609Z digest=sha256:a144669efd342bc387a4fa7575ea8a9e83526a196aa58a1bddf735f11f89a60b

Observation 48e1d839-1078-4c3f-9cdd-4bdf59c6c3b7 · outbound

This paper cites Ethier and Thomas G.

The critical KPZ scale for the Averaging Process Ethier and Thomas G

Reference 21

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source=arxiv_source observed=2026-08-01T07:36:22.402960Z digest=sha256:0e5bebde070873a61833124e3041c415888e5c08565833e909e5109e70573d5c

Observation 2da644cd-b24a-47b8-b7da-abf1ca3f7055 · outbound

This paper cites The edge-averaging process on graphs with random initial opinions.

The critical KPZ scale for the Averaging Process The edge-averaging process on graphs with random initial opinions

Reference 22

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source=arxiv_source observed=2026-08-01T07:36:22.513495Z digest=sha256:eadfea258334522c48518d4c2c3c026f6cd8eefe821959c624432fc9ea4db144

Observation a4f8420f-b5b8-4a3a-885e-c05207661545 · outbound

This paper cites A universality property for large deviations of RWRE close to the axis.

The critical KPZ scale for the Averaging Process A universality property for large deviations of RWRE close to the axis

Reference 23

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source=arxiv_source observed=2026-08-01T07:36:22.629000Z digest=sha256:28c44a008a6b1fcecea3b1378dd08cd84df299ec63c1cf5ee11f3816ca76444e

Observation bb37a9df-8e4f-441e-9719-2968600db080 · outbound

This paper cites The averaging process on infinite graphs.

The critical KPZ scale for the Averaging Process The averaging process on infinite graphs

Reference 24

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source=arxiv_source observed=2026-08-01T07:36:22.730625Z digest=sha256:f7704b84c32c310f6f38fa1a4e1179daac1252c82bae7f4f47410e515eea08e5

Observation 52f19901-d457-4441-b6aa-fc12b8c22b93 · outbound

This paper cites Super-Universal Behavior of Outliers Diffusing in a Space-Time Random Environment.

The critical KPZ scale for the Averaging Process Super-Universal Behavior of Outliers Diffusing in a Space-Time Random Environment

Reference 25

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source=arxiv_source observed=2026-08-01T07:36:22.846498Z digest=sha256:d0b2d262caef4f0b1008d945e415fb6e393bb7d8b26ccaaf59ca6943c2423827

Observation efe0dfd9-6353-42fe-b86b-b2aa1fe1d00e · outbound

This paper cites Coincidence of critical points for directed polymers for general environments and random walks.

The critical KPZ scale for the Averaging Process Coincidence of critical points for directed polymers for general environments and random walks

Reference 26

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source=arxiv_source observed=2026-08-01T07:36:22.895840Z digest=sha256:447b593389aa571702366f2dbc4bca23031a08087a98c1312414fdb60b292605

Observation fcb1dadd-4232-4761-a612-8e124d862d25 · outbound

This paper cites Shiryaev.

The critical KPZ scale for the Averaging Process Shiryaev

Reference 27

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source=arxiv_source observed=2026-08-01T07:36:22.973948Z digest=sha256:a7f87000605b07f1dd40c06264711822f38e155ea800f21d7171d6b1318622d7

Observation e94cb8bf-b3aa-4a39-be04-29665638faa2 · outbound

This paper cites Scaling limits of interacting particle systems , volume 320 of Grundlehren der Mathematischen Wissenschaften.

The critical KPZ scale for the Averaging Process Scaling limits of interacting particle systems , volume 320 of Grundlehren der Mathematischen Wissenschaften

Reference 28

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source=arxiv_source observed=2026-08-01T07:36:23.047002Z digest=sha256:12ca4c634030f86d1902c6cae3e0d574ad1f507fa06a8b967f79f29c1c86390d

Observation 0a1c84da-131b-4102-9642-30502dcd5ae6 · outbound

This paper cites Dynamic scaling of growing interfaces.

The critical KPZ scale for the Averaging Process Dynamic scaling of growing interfaces

Reference 29

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source=arxiv_source observed=2026-08-01T07:36:23.220953Z digest=sha256:26fc9d948a6713d0cf1c5bc29973fbe13639ee7bb886f66bcb45670ed3e6b903

Observation e6ca7074-7231-47a3-8499-8054c0bc67c4 · outbound

This paper cites Diffusion in time-dependent random media and the K ardar- P arisi- Z hang equation.

The critical KPZ scale for the Averaging Process Diffusion in time-dependent random media and the K ardar- P arisi- Z hang equation

Reference 30

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source=arxiv_source observed=2026-08-01T07:36:23.302124Z digest=sha256:febfda62ad4c137f9c05e0eab0ce92645f76e26773ecd5fc74dc0290106fc4d2

Observation 00a156c3-1f1a-43c8-b3e6-32d3517aff95 · outbound

This paper cites Repeated averages on graphs.

The critical KPZ scale for the Averaging Process Repeated averages on graphs

Reference 31

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source=arxiv_source observed=2026-08-01T07:36:23.387943Z digest=sha256:17b4d6cd4702c54f2c4717299ac253d00037d244fd8ad7c6497627514f5c2350

Observation af5976e4-7cf0-4a2f-83ce-dcef3f058bd1 · outbound

This paper cites Moment-based approach for two erratic KPZ scaling limits.

The critical KPZ scale for the Averaging Process Moment-based approach for two erratic KPZ scaling limits

Reference 32

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source=arxiv_source observed=2026-08-01T07:36:23.463930Z digest=sha256:329f0969ae065147e48db43b992997eabd7378a2474fc730f25ec56134e211b2

Observation e702ddb8-abbc-4848-bdb9-6fde5b58cbf3 · outbound

This paper cites Hierarchy of KPZ limits arising from directed random walk models in random media.

The critical KPZ scale for the Averaging Process Hierarchy of KPZ limits arising from directed random walk models in random media

Reference 33

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source=arxiv_source observed=2026-08-01T07:36:23.619431Z digest=sha256:822c3b2a97f40028b29063c4b9f364180a7233b7a646466a33581193138fe6fe

Observation aca46c4b-35c2-4d12-a5ce-32fec1f54fd9 · outbound

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

The critical KPZ scale for the Averaging Process Mixing of the averaging process and its discrete dual on finite-dimensional geometries

Reference 34

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source=arxiv_source observed=2026-08-01T07:36:23.763617Z digest=sha256:6c122389e1e35fd864637c43bf939a3ec94006d20abfdfbf7f860eebbe183672

Observation 705d88a9-5148-467e-b3da-ae135e99fdd2 · outbound

This paper cites Concentration and local smoothness of the averaging process.

The critical KPZ scale for the Averaging Process Concentration and local smoothness of the averaging process

Reference 35

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source=arxiv_source observed=2026-08-01T07:36:23.880633Z digest=sha256:7187ddda119c2c903f78abe77505a76600f16a11448238ce1240d3eb276a080d

Observation ac75ea8a-b184-4562-9121-d98f4d45b4f9 · outbound

This paper cites Tiny fluctuations of the averaging process around its degenerate steady state.

The critical KPZ scale for the Averaging Process Tiny fluctuations of the averaging process around its degenerate steady state

Reference 36

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source=arxiv_source observed=2026-08-01T07:36:24.037443Z digest=sha256:5998c9c82c6e7fb70b9c8416ba654b3fba0e3065507c60e84c477c608350a3af

Observation 69cb124b-26d0-4fd4-a41d-2e247fb3c5e2 · outbound

This paper cites Exact solution for a random walk in a time-dependent 1D random environment: the point-to-point B eta polymer.

The critical KPZ scale for the Averaging Process Exact solution for a random walk in a time-dependent 1D random environment: the point-to-point B eta polymer

Reference 37

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source=arxiv_source observed=2026-08-01T07:36:24.108368Z digest=sha256:67b91b6b02c61a7d39df855942ce769518f0522934f430b48ed99768c38d9d27

Observation 046c0a60-34e7-44dd-9b6b-df5026caa19a · outbound

This paper cites Stochastic heat flow by moments.

The critical KPZ scale for the Averaging Process Stochastic heat flow by moments

Reference 38

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source=arxiv_source observed=2026-08-01T07:36:24.198637Z digest=sha256:462b28f3e18b83a42c4515f39c643156e688ba5dc891f3edd9a029a59eb31f21

Observation 2522026c-d07a-4baf-a252-ad08735e751a · outbound

This paper cites Large deviations for random walk in a space-time product environment.

The critical KPZ scale for the Averaging Process Large deviations for random walk in a space-time product environment

Reference 39

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source=arxiv_source observed=2026-08-01T07:36:24.304661Z digest=sha256:d8f6985eb0bdcd364e422f4cf37c2540b589981a73ad113d5883c52302c5ca34

Observation 5cd4666f-711a-4d8f-80f8-eb11e804fd7b · outbound

This paper cites Differing averaged and quenched large deviations for random walks in random environments in dimensions two and three.

The critical KPZ scale for the Averaging Process Differing averaged and quenched large deviations for random walks in random environments in dimensions two and three

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-01T07:36:24.368226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T07:36:24.368226Z digest=sha256:19708cb6a140291d0aa5079fda4a017ff814d2165d571b64788ec4d2a2d57ad4

Observation 15221500-93ec-4c86-a1d3-fa2533723ed6 · outbound

This paper cites Directed polymers in a random environment: a review of the phase transitions.

The critical KPZ scale for the Averaging Process Directed polymers in a random environment: a review of the phase transitions

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-01T07:36:24.564863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T07:36:24.564863Z digest=sha256:b1b6c0fc27f5b33df2629eed30e284d4215285159209060a1c8846ecd69426cb

Pith citing papers

No inbound Pith citation observations are available.