Paper Citation Record · LEDGER

Characterization of the directed landscape from the KPZ fixed point

As of 19 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 10 inbound Pith citation observations for arXiv:2412.13032.

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

pith.paper-citation-record.v1
2412.13032 v3

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:38:42.055833Z

measured 24 of 24 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 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:09:09.200174Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T22:54:01.679043Z

Reference resolution

14 of 14 outbound references displayed

verified exact0
verified fuzzy7
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0d48a518-757f-4b8a-a203-a6a4e9f0f232 · outbound

This paper cites an unresolved cited work.

Characterization of the directed landscape from the KPZ fixed point Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:38:42.703843Z

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 db205e1e-50af-4ba9-a863-c9720354e146 · outbound

This paper cites We will show that (for someδ > 0) these two probabilities are< C log44(r)r4/3 and< rδ, respectively.

Characterization of the directed landscape from the KPZ fixed point We will show that (for someδ > 0) these two probabilities are< C log44(r)r4/3 and< rδ, respectively

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:38:42.587262Z

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 ed1f448a-151a-4bf3-8c6a-9ef4dbc689b3 · outbound

This paper cites Then Xn P → Y.

Characterization of the directed landscape from the KPZ fixed point Then Xn P → Y

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:38:42.508609Z

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 f244198a-00b8-4b34-847e-4f7acb0775d2 · outbound

This paper cites an unresolved cited work.

Characterization of the directed landscape from the KPZ fixed point Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:38:42.491609Z

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 69aefd55-57f8-4020-8102-c33f95ec9562 · outbound

This paper cites Then for any t≤ r ∈ Q+, Kt,r∣Ht,n is conditionally independent of Ft given Bt,n.

Characterization of the directed landscape from the KPZ fixed point Then for any t≤ r ∈ Q+, Kt,r∣Ht,n is conditionally independent of Ft given Bt,n

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:38:42.472966Z

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 f2dca202-c2f0-4920-9e33-edd38a4af4d8 · outbound

This paper cites an unresolved cited work.

Characterization of the directed landscape from the KPZ fixed point Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:38:42.456198Z

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 fc126da7-459b-4d01-bce1-538ebe59c654 · outbound

This paper cites an unresolved cited work.

Characterization of the directed landscape from the KPZ fixed point Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:38:42.438889Z

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 c089f1d6-ec65-4171-9907-cfd938232824 · outbound

This paper cites Then there exists a directed landscape L such that almost surely, for any s< t∈ Q+, f∈ Hs, Ks,tf = f ◇ Ls,t.

Characterization of the directed landscape from the KPZ fixed point Then there exists a directed landscape L such that almost surely, for any s< t∈ Q+, f∈ Hs, Ks,tf = f ◇ Ls,t

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:38:42.397259Z

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 31cbf2d2-7454-4d45-aa42-2cabfded0fdc · outbound

This paper cites Set Bq1 = Wq1.

Characterization of the directed landscape from the KPZ fixed point Set Bq1 = Wq1

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:38:42.290903Z

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 91e56fcf-3722-48c7-b730-76a182b4d1ae · outbound

This paper cites , Bqi−1, let T be the first time in [si,∞) when Wqi(t) = Bqj(t) for some j < i, and let J be the minimal index such that Wqi(T) = BqJ(T).

Characterization of the directed landscape from the KPZ fixed point , Bqi−1, let T be the first time in [si,∞) when Wqi(t) = Bqj(t) for some j < i, and let J be the minimal index such that Wqi(T) = BqJ(T)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:38:42.273363Z

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 c11625e4-6c95-4450-97b2-2ab22145e024 · outbound

This paper cites Then for (f, g)= (Bs,n+ h, Br,n′+ h′) from (42), we have that sup(g− Ks,rf)<∞.

Characterization of the directed landscape from the KPZ fixed point Then for (f, g)= (Bs,n+ h, Br,n′+ h′) from (42), we have that sup(g− Ks,rf)<∞

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:38:42.254526Z

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 602abf24-8a97-4fb1-b9eb-d249731e1d9d · outbound

This paper cites an unresolved cited work.

Characterization of the directed landscape from the KPZ fixed point Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:38:42.235290Z

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 9273f2a3-404f-4401-8126-cb8f36e38abf · outbound

This paper cites an unresolved cited work.

Characterization of the directed landscape from the KPZ fixed point Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:38:42.216344Z

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 2656d58f-95b7-438a-85c6-1c145f301989 · outbound

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

Characterization of the directed landscape from the KPZ fixed point KPZ fixed point convergence of the ASEP and stochastic six-vertex models

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T13:38:42.055833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation b3690f44-c049-41b6-a167-499e37074cae · inbound

An upper tail field of the KPZ fixed point cites this paper.

An upper tail field of the KPZ fixed point Characterization of the directed landscape from the KPZ fixed point

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-10T22:47:51.983430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f6e670e-bb3f-4cd2-8463-769b787721c1 · inbound

On the multipoint distribution formulas of the parabolic Airy process cites this paper.

On the multipoint distribution formulas of the parabolic Airy process Characterization of the directed landscape from the KPZ fixed point

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T18:09:09.200174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e18296e-a9ca-4dcf-a5a6-83d88feec224 · inbound

Invariant measures and shocks in the KPZ fixed point cites this paper.

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 1fa53656-e4f8-4c0a-acdb-2a3d367867d9 · inbound

Quantitative Brownian regularity of the KPZ fixed point with arbitrary initial data cites this paper.

Quantitative Brownian regularity of the KPZ fixed point with arbitrary initial data Characterization of the directed landscape from the KPZ fixed point

Reference 5

Resolution: metadata mismatch; arxiv_id, observed 2026-05-18T14:11:27.646255Z

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 8f19b839-a278-44b9-a09a-0ea9213e68a0 · inbound

Periodic KPZ fixed point with general initial conditions cites this paper.

Periodic KPZ fixed point with general initial conditions Characterization of the directed landscape from the KPZ fixed point

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T19:35:47.933934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6364bf0-3c5a-4d61-bba9-758ec5b82c2c · inbound

The directed landscape in half-space cites this paper.

The directed landscape in half-space Characterization of the directed landscape from the KPZ fixed point

Reference 43

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T08:25:59.023334Z

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 994f9ee7-8ff2-4b22-aafd-b704da51973c · inbound

The directed landscape in half-space cites this paper.

The directed landscape in half-space Characterization of the directed landscape from the KPZ fixed point

Reference 43

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T04:20:55.811865Z

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 f045c5af-b38e-46b0-a526-a6d9f0fd5c73 · 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 Characterization of the directed landscape from the KPZ fixed point

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-22T03:04:32.569359Z

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 873e2d66-e4eb-4fb4-bfc5-b2d247a233cb · 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 Characterization of the directed landscape from the KPZ fixed point

Reference 17

Resolution: metadata mismatch; arxiv_id, observed 2026-06-29T22:54:01.680422Z

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 48fa9d91-ae77-4a68-b1c2-6128a11797de · inbound

Periodic directed landscape cites this paper.

Periodic directed landscape Characterization of the directed landscape from the KPZ fixed point

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T16:10:31.043160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.