Paper Citation Record · LEDGER

Invariant measures and shocks in the KPZ fixed point

As of 19 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 2 inbound Pith citation observations for arXiv:2508.15598.

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

pith.paper-citation-record.v1
2508.15598 v3

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T17:59:10.429759Z

measured 18 of 18 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 2026-06-29T20:32:16.717300Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T22:54:01.676506Z

Reference resolution

16 of 16 outbound references displayed

verified exact4
verified fuzzy2
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e3145ec7-9189-4293-9b4b-9580ea9720ab · outbound

This paper cites KPZ fixed point convergence of the ASEP and stochastic six-vertex models.

Invariant measures and shocks in the KPZ fixed point KPZ fixed point convergence of the ASEP and stochastic six-vertex models

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-05T17:59:08.636496Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5379255-5e48-4220-a1d8-9a50bc36d837 · outbound

This paper cites Strong characterization for the Airy line ensemble.

Invariant measures and shocks in the KPZ fixed point Strong characterization for the Airy line ensemble

Reference 3

Resolution: verified exact; raw_fallback, observed 2026-08-05T17:59:11.858055Z

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 5e69d895-7bf6-4a21-849d-0c31b09ff9d8 · outbound

This paper cites The stationary horizon and semi-infinite geodesics in the directed landscape.

Invariant measures and shocks in the KPZ fixed point The stationary horizon and semi-infinite geodesics in the directed landscape

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-05T17:59:11.492720Z

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 368524a2-ccf8-47d8-8960-aad8a9893ab2 · outbound

This paper cites Non-existence of three non-coalescing infinite geodesics with the same direction in the directed landscape.

Invariant measures and shocks in the KPZ fixed point Non-existence of three non-coalescing infinite geodesics with the same direction in the directed landscape

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-05T17:59:09.228738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd5b0ed9-f64f-4eec-88ce-8664c189dd26 · outbound

This paper cites Three-halves variation of geodesics in the directed landscape.

Invariant measures and shocks in the KPZ fixed point Three-halves variation of geodesics in the directed landscape

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:59:12.773668Z

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 9fc82484-c687-408d-a1fc-747d53fdb469 · outbound

This paper cites Probab., page 711–739.

Invariant measures and shocks in the KPZ fixed point Probab., page 711–739

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:59:12.462758Z

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 8e18296e-a9ca-4dcf-a5a6-83d88feec224 · outbound

This paper cites Characterization of the directed landscape from the KPZ fixed point.

Invariant measures and shocks in the KPZ fixed point Characterization of the directed landscape from the KPZ fixed point

Reference 1996

Resolution: unresolved; no resolver link, observed 2026-08-05T17:59:09.765443Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 544dd922-7320-4286-b157-fc7395c75d62 · outbound

This paper cites The KPZ equation and the directed landscape.

Invariant measures and shocks in the KPZ fixed point The KPZ equation and the directed landscape

Reference 1997

Resolution: unresolved; no resolver link, observed 2026-08-05T17:59:10.102722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 875971ed-ad1a-426e-849a-eac16700fbc0 · outbound

This paper cites Ergodicity and synchronization of the Kardar-Parisi-Zhang equation.

Invariant measures and shocks in the KPZ fixed point Ergodicity and synchronization of the Kardar-Parisi-Zhang equation

Reference 2001

Resolution: unresolved; no resolver link, observed 2026-08-05T17:59:09.844726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7d29230-8b24-4ed3-8943-5ff492120fc4 · outbound

This paper cites The scaling limit of the longest increasing subsequence.

Invariant measures and shocks in the KPZ fixed point The scaling limit of the longest increasing subsequence

Reference 2002

Resolution: unresolved; no resolver link, observed 2026-08-05T17:59:09.662929Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d588fd25-9c71-4aff-8a52-888e78ac82aa · outbound

This paper cites The geometry of coalescing random walks, the brownian web distance and KPZ universality.

Invariant measures and shocks in the KPZ fixed point The geometry of coalescing random walks, the brownian web distance and KPZ universality

Reference 2011

Resolution: verified exact; raw_fallback, observed 2026-08-05T17:59:10.890801Z

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 4e99c4d5-da31-460b-9a64-a20aa5ddc216 · outbound

This paper cites Convergence from the log-gamma polymer to the directed landscape.

Invariant measures and shocks in the KPZ fixed point Convergence from the log-gamma polymer to the directed landscape

Reference 2013

Resolution: unresolved; no resolver link, observed 2026-08-05T17:59:10.429759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4551def5-4bb6-4cfb-90aa-e33bc79eb358 · outbound

This paper cites Exceptional force, uncountably many solutions in the KPZ fixed point.

Invariant measures and shocks in the KPZ fixed point Exceptional force, uncountably many solutions in the KPZ fixed point

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-05T17:59:09.063757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9c29386-ec23-49d8-82e9-2a60829b7ce4 · outbound

This paper cites Viscous shock fluctuations in KPZ.

Invariant measures and shocks in the KPZ fixed point Viscous shock fluctuations in KPZ

Reference 2021

Resolution: verified exact; raw_fallback, observed 2026-08-05T17:59:11.239423Z

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 a565c252-c422-4e42-8260-f9df847b1938 · outbound

This paper cites an unresolved cited work.

Invariant measures and shocks in the KPZ fixed point Unresolved cited work

Reference 2023

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:59:12.119092Z

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 c4732699-daa3-4dbc-9698-aadd54c745a1 · outbound

This paper cites Scaling limit of the colored ASEP and stochastic six-vertex models.

Invariant measures and shocks in the KPZ fixed point Scaling limit of the colored ASEP and stochastic six-vertex models

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-05T17:59:08.791044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 2b0992b4-5661-4d51-90f5-180190985e11 · inbound

Invariant measures for half-space geometric LPP: classification and the one force--one solution principle cites this paper.

Invariant measures for half-space geometric LPP: classification and the one force--one solution principle Invariant measures and shocks in the KPZ fixed point

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:18:48.363383Z

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 5677cde8-7ac5-48ad-980e-0450eb1752c1 · inbound

Classification of the eternal solutions and multiple coalescing shocks in the KPZ fixed point cites this paper.

Classification of the eternal solutions and multiple coalescing shocks in the KPZ fixed point Invariant measures and shocks in the KPZ fixed point

Reference 19

Resolution: metadata mismatch; arxiv_id, observed 2026-07-07T03:18:48.363383Z

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.