Paper Citation Record · LEDGER

Convergence of the KMP model to the KPZ equation

As of 20 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 2 inbound Pith citation observations for arXiv:2507.19222.

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

pith.paper-citation-record.v1
2507.19222 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:05:36.614657Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T10:25:14.347779Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

12 of 12 outbound references displayed

verified exact5
verified fuzzy4
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 927609b3-0007-4495-b132-53f05507641a · outbound

This paper cites Rizkallah, A.

Convergence of the KMP model to the KPZ equation Rizkallah, A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:05:36.984987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d2ac86c1-920c-4401-bd73-3faebd74b725 · outbound

This paper cites Zarfaty and B.

Convergence of the KMP model to the KPZ equation Zarfaty and B

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:05:36.953484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 118d421f-dae5-4917-8366-0db4950b534b · outbound

This paper cites Bettelheim and B.

Convergence of the KMP model to the KPZ equation Bettelheim and B

Reference 1997

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:05:37.022181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cb637d0d-837f-4768-a1c2-3ec6d07f7d9a · outbound

This paper cites At the edge of a cloud of Brownian particles.

Convergence of the KMP model to the KPZ equation At the edge of a cloud of Brownian particles

Reference 1999

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:05:36.936497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7857c3b7-dc4e-427c-86d4-47930cf2829b · outbound

This paper cites On the notion(s) of duality for Markov processes.

Convergence of the KMP model to the KPZ equation On the notion(s) of duality for Markov processes

Reference 2004

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:05:36.830706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9891e8a8-2d82-4eeb-bd6d-65ada2214f4f · outbound

This paper cites Directed Paths in Random Media.

Convergence of the KMP model to the KPZ equation Directed Paths in Random Media

Reference 2012

Resolution: unresolved; no resolver link, observed 2026-08-15T18:05:36.588262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c28e062b-bd60-4a7d-a2ba-4056d0b7c862 · outbound

This paper cites an unresolved cited work.

Convergence of the KMP model to the KPZ equation Unresolved cited work

Reference 2016

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:05:36.969268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 593a5604-89f6-4e9c-9f0b-cdfe8ffab68c · outbound

This paper cites an unresolved cited work.

Convergence of the KMP model to the KPZ equation Unresolved cited work

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-15T18:05:36.594372Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 06389b75-2598-4ee9-bd9d-e1cf4359c006 · outbound

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

Convergence of the KMP model to the KPZ equation Super-Universal Behavior of Outliers Diffusing in a Space-Time Random Environment

Reference 2022

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:05:36.887053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 851b2b02-99d6-4ce9-8324-070aed29fdb5 · outbound

This paper cites Hydrodynamic limit for some gradient and attractive spin models.

Convergence of the KMP model to the KPZ equation Hydrodynamic limit for some gradient and attractive spin models

Reference 2023

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:05:36.913138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ed54e806-64f0-4dba-8757-37f730761a24 · outbound

This paper cites Bettelheim, N.

Convergence of the KMP model to the KPZ equation Bettelheim, N

Reference 2024

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:05:37.001643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 301d7097-c48f-4336-a2b9-0b4c9da24429 · outbound

This paper cites Universal KPZ Fluctuations for Moderate Deviations of Random Walks in Random Environments.

Convergence of the KMP model to the KPZ equation Universal KPZ Fluctuations for Moderate Deviations of Random Walks in Random Environments

Reference 2025

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:05:36.858451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 2b3f6ec8-1d9d-4970-8d7c-aff0c2f63dc6 · inbound

Random walks in Dirichlet random environment in dimension $d+1$ cites this paper.

Random walks in Dirichlet random environment in dimension $d+1$ Convergence of the KMP model to the KPZ equation

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T10:25:14.347779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

The critical KPZ scale for the Averaging Process cites this paper.

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

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T07:36:21.134494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.