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Paper Citation Record · LEDGER

The critical KPZ scale for the Averaging Process

As of 8 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 2026-08-08T06:32:00.761636+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=sha256:24f50319610a46f744b1a0499356d7c648ef63a9d148852cfa26e8c1aa936962

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:f84bf7db0abfffba5f1f9f2d2ca210e68c3f0dcf4b8aee06d3f67417e495c51e

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=sha256:9e22a0383449c23a08aa73fbcf8b37f0399f5a95b89812169683ece3e52d8440

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:d4cebdeec33b8b5a5276642cca86ffce855bdf2600aff57ac6d9ab86c5504956

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:c69cb42b0f20dfc0e8fcf7934a17845b2888cc98d014f0d141b4f5657889df1e

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=sha256:2c716605aad75c40e046f89c65cb7c86823cd44337752c270e37b1ae7dc8a825

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=sha256:0cb81e185ac67f463c23b2d439a0a5dd55686c5a648e0644c7156d82cfc09c25

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:bf755f964d1181017af17d533e58a2bbb926722e3b6d3e25ef443483e3821654

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=sha256:73ee61c5dc65300065745f430ac5a2288e684897fcbc4b42775fd3fcb9f04d91

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=sha256:5edb8c32775cf0d6e268dd0138a880ff017ac23ff6e3660d75f8fb8e6b81806c

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=sha256:3399d5917264f56c6cb2d8e713dd1d9b69e14c560cb84058a2b785056d3bbc71

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:ef84b3363631d32c360cdfef7ccfb4c03fc04b920db28607ca9615f24d5d4dc2

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=sha256:97c258ca0a62b3df0be23993faa852fb1065ce72d83817c57c9df83aaec312cb

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:f144f3868ff85756f6392d9009a00d552268ca563ffe3b3b088ca9299e14093d

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:e6fd720d19b13372de9942e3360059e6046d685a74b7de1a14fe38870ea6ac08

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:fb3b034a7a9e515e18f88078c8197696c9cb19e2219f76aacbfa558af33622e3

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=sha256:75ac460506568393522c799bbf20f824f92d0c36a58026cb1ed91bece92103f9

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=sha256:31ef6b7fa94951db9b9381e66483f4476591d2cd233f02508990c782a0b628aa

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=sha256:828d8045201e77f950402bae744afedf62227a05f949cbf27ab243c084d9bc52

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=sha256:73586c0bb8755c19f262e3b9cfa10549087145807898b76df0855d93df3b2df4

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=sha256:88f77564597faacfaa044450d27d113acf3310c3eb3a9f08187b76156f3a0597

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=sha256:48200f450351a563220c858aa7ccc957bc398e7ffc276d6c64380a2e8f82734b

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=sha256:6ee8abe3d2a87bb6bd735fce084fe2d9b6a6897ff7076b80ec882faf6e643e88

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=sha256:8e60a9dd20102ef2aae9333077b1be65bb8b17db60cf2c9d4e73a580771aaf72

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=sha256:399e05a47d32bd29139f4a4c6bf8633e0aeb35c747671c5db252b30b4c55a968

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:b7d7f15da790031840f178f71da67a81cdadfc67929892855d78e8e75ec65fef

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=sha256:8b0b083d19e3c797b5b0e875977f0a5f8b752cdc08efbfba29cda37dce557ecb

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=sha256:5be9c6980c6b8e02c4e782b17746e5603c98a53144186f0a170075a6d91ca19b

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=sha256:6e7ec94f901760236562c6ed68a51c6eff522db6a10a2a62f8f595b503864add

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=sha256:0d396e9c66f0ff5d55265bb8979e62a2649c79a2e2f3a6188eef438be1743c33

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:f2e7f61396e27af88ef96c3cb46e2cd978771d599555ab5897717c3db9b8c49c

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=sha256:7a986fb86551ee259b1a183610de78b5a1c0b79ea070dd15d9ebd65901e1e895

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=sha256:67d2737ac10894c8929d545e48bd934f002e1b283b63fcedffad64e55b64307e

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=sha256:0c06afa5dff6bde3300db32188f74387777c3c46fc8b8b825fcab585c6abb558

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=sha256:36d9b195af5fcf4fb2d45928a4cc6f813295a568e8d2907c4fc0d8c2ca90465c

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=sha256:5beb7c032aaaf6b351b5e420ea8f16db2cf7125c5bdf966b7b0360a3a1db8e61

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=sha256:0d65951813acbebc8d62540ea7212728e32df55c346643bf29a5f631996619b0

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=sha256:00becdaa9f753bd68c38bcf239de782f4523a31656834aab9f96252ee87b3543

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:d62e883751c4589d2f50f7fcbfedec911323321d9e26a656898b255c48070db5

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:ecd79f73fd6c37e55aa5bb60b5b03570c495880bab8bf71b5d90c54a90c1b9e2

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:c108a2be91ba45c0e06215643d224a88aa729fadd23e3ed8e974efff4a25e5ae

Pith citing papers

No inbound Pith citation observations are available.