Paper Citation Record · LEDGER

Exceptional force, uncountably many solutions in the KPZ fixed point

As of 22 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 4 inbound Pith citation observations for arXiv:2505.09604.

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

pith.paper-citation-record.v1
2505.09604 v2

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:31:51.853870Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T17:59:09.063757Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T22:54:01.681600Z

Reference resolution

44 of 44 outbound references displayed

verified exact4
verified fuzzy25
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d3777718-6678-44b5-8f50-6feb03afc495 · outbound

This paper cites Random coalescing geodesics in first-passage percolation.

Exceptional force, uncountably many solutions in the KPZ fixed point Random coalescing geodesics in first-passage percolation

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T21:31:51.647121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba14fb42-5413-4411-9d32-e4a8efa7e661 · outbound

This paper cites The max-plus Martin boundary.

Exceptional force, uncountably many solutions in the KPZ fixed point The max-plus Martin boundary

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.732156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 57212a29-6dee-4a7a-ac22-7d8ca00926c8 · outbound

This paper cites Space-time stationary solutions for the Burgers equation.

Exceptional force, uncountably many solutions in the KPZ fixed point Space-time stationary solutions for the Burgers equation

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.721087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d330f0f0-a638-4812-8262-68fcd1d315d7 · outbound

This paper cites Thermodynamic limit for directed polymers and stationary solutions of the burgers equation.

Exceptional force, uncountably many solutions in the KPZ fixed point Thermodynamic limit for directed polymers and stationary solutions of the burgers equation

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.710246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 16774bc6-4cae-4620-851e-7e93d7cc93d9 · outbound

This paper cites Non-existence of bi-infinite geodesics in the exponential corner growth model.

Exceptional force, uncountably many solutions in the KPZ fixed point Non-existence of bi-infinite geodesics in the exponential corner growth model

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.695891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 73e64d66-2c1b-4453-a465-47e70afb8fe5 · outbound

This paper cites Nonexistence of bigeodesics in planar exponential last passage percolation.

Exceptional force, uncountably many solutions in the KPZ fixed point Nonexistence of bigeodesics in planar exponential last passage percolation

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.685216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 78b5588b-9601-481b-accd-9c6188d94330 · outbound

This paper cites Intertwining the Busemann process of the directed polymer model.

Exceptional force, uncountably many solutions in the KPZ fixed point Intertwining the Busemann process of the directed polymer model

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.676469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9d21a180-a1c5-4163-8c83-984e16879f55 · outbound

This paper cites Duality in the Directed Landscape and Its Applications to Fractal Geometry.

Exceptional force, uncountably many solutions in the KPZ fixed point Duality in the Directed Landscape and Its Applications to Fractal Geometry

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.664814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 45f826ee-ed90-48f2-a774-fd0e3a244cf2 · outbound

This paper cites Exceptional times when bigeodesics exist in dynamical last passage percolation.

Exceptional force, uncountably many solutions in the KPZ fixed point Exceptional times when bigeodesics exist in dynamical last passage percolation

Reference 9

Resolution: verified exact; raw_fallback, observed 2026-08-15T21:31:52.209857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 75713cd2-d2dd-445f-9d11-711eaaf70799 · outbound

This paper cites Non-existence of three non-coalescing infinite geodesics with the same direction in the directed landscape, 2023.

Exceptional force, uncountably many solutions in the KPZ fixed point Non-existence of three non-coalescing infinite geodesics with the same direction in the directed landscape, 2023

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.650915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 58be485b-3b0c-45c1-ac62-b0edfe832a96 · outbound

This paper cites Non-existence of bi-infinite polymer Gibbs measures.

Exceptional force, uncountably many solutions in the KPZ fixed point Non-existence of bi-infinite polymer Gibbs measures

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-15T21:31:52.138051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 22db458f-15b6-409a-9b73-2af7b8f295fe · outbound

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

Exceptional force, uncountably many solutions in the KPZ fixed point The stationary horizon and semi-infinite geodesics in the directed landscape

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.637327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ba455f30-5f8a-4239-a2e0-75803c49a577 · outbound

This paper cites Bigeodesics in first-passage percolation.

Exceptional force, uncountably many solutions in the KPZ fixed point Bigeodesics in first-passage percolation

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.625313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d696608e-68fa-4e39-8929-648478398f95 · outbound

This paper cites The 27 geodesic networks in the directed landscape.

Exceptional force, uncountably many solutions in the KPZ fixed point The 27 geodesic networks in the directed landscape

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T21:31:51.710336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4821b77-46d6-4096-bb2c-98e6ae346373 · outbound

This paper cites The directed landscape.Acta Math., 229(2):201–285, 2022.

Exceptional force, uncountably many solutions in the KPZ fixed point The directed landscape.Acta Math., 229(2):201–285, 2022

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.612936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 56e8c8dc-f222-4bcf-a1b5-a4229e274990 · outbound

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

Exceptional force, uncountably many solutions in the KPZ fixed point Three-halves variation of geodesics in the directed land- scape

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.601439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2b8d08d2-e611-4a77-bbfb-a2724bac6a7e · outbound

This paper cites Stationary solutions to the stochastic burgers equation on the line.

Exceptional force, uncountably many solutions in the KPZ fixed point Stationary solutions to the stochastic burgers equation on the line

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.586952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 03ec7bd3-a7fb-4546-8b03-75e247dc6cfb · outbound

This paper cites Viscous shock fluctuations in KPZ.

Exceptional force, uncountably many solutions in the KPZ fixed point Viscous shock fluctuations in KPZ

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T21:31:51.735599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a31953a4-fae4-48e0-8929-965af4efa61c · outbound

This paper cites Khanin, A.

Exceptional force, uncountably many solutions in the KPZ fixed point Khanin, A

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T21:31:51.739760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56dbdaae-d6ce-4af3-91f2-dea35e97af8e · outbound

This paper cites Probability distribution functions for the random forced burgers equation.

Exceptional force, uncountably many solutions in the KPZ fixed point Probability distribution functions for the random forced burgers equation

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.429089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 54dc4bbc-9658-4cce-acef-cf14675b9e31 · outbound

This paper cites Ferrari, James B.

Exceptional force, uncountably many solutions in the KPZ fixed point Ferrari, James B

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T21:31:51.747133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50524dee-90ff-43b5-a388-4d9321c2f893 · outbound

This paper cites Viscosity limit of stationary distributions for the random forced Burgers equation.

Exceptional force, uncountably many solutions in the KPZ fixed point Viscosity limit of stationary distributions for the random forced Burgers equation

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.412496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e803c590-6806-40b8-8709-502a1c5f7985 · outbound

This paper cites Non-existence of non-trivial bi-infinite geodesics in Geometric Last Passage Percolation.

Exceptional force, uncountably many solutions in the KPZ fixed point Non-existence of non-trivial bi-infinite geodesics in Geometric Last Passage Percolation

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-15T21:31:52.032741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8025377d-27be-4f25-9174-34e89fe0eb1a · outbound

This paper cites Jointly invariant measures for the Kardar–Parisi–Zhang equation.

Exceptional force, uncountably many solutions in the KPZ fixed point Jointly invariant measures for the Kardar–Parisi–Zhang equation

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.403506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4476690f-042e-4006-9a49-f1f4140d3d8a · outbound

This paper cites Iturriaga and K.

Exceptional force, uncountably many solutions in the KPZ fixed point Iturriaga and K

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.394315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c246a871-973c-4392-ab4f-965aa3948fed · outbound

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

Exceptional force, uncountably many solutions in the KPZ fixed point Ergodicity and synchronization of the Kardar-Parisi-Zhang equation

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T21:31:51.768471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec8d510d-4e1e-4215-9023-2df58f0e76f0 · outbound

This paper cites Geometry of geodesics through Busemann measures in directed last-passage percolation.

Exceptional force, uncountably many solutions in the KPZ fixed point Geometry of geodesics through Busemann measures in directed last-passage percolation

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.383341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cfd51d31-d2b5-4b3a-9359-20b03bb5d8ca · outbound

This paper cites an unresolved cited work.

Exceptional force, uncountably many solutions in the KPZ fixed point Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:31:52.373086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 22108c64-5d76-4d4b-8a96-219d68874be9 · outbound

This paper cites The KPZ fixed point.

Exceptional force, uncountably many solutions in the KPZ fixed point The KPZ fixed point

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.361945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 230323cf-281f-4bfc-929d-8bf3217ab398 · outbound

This paper cites an unresolved cited work.

Exceptional force, uncountably many solutions in the KPZ fixed point Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:31:52.350195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e65b0362-2777-4232-90cb-1993672a3b1c · outbound

This paper cites an unresolved cited work.

Exceptional force, uncountably many solutions in the KPZ fixed point Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:31:52.337495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation db9e53cd-96cc-4b27-92bb-e48b935f4cd0 · outbound

This paper cites Convergence of exclusion processes and the KPZ equation to the KPZ fixed point.

Exceptional force, uncountably many solutions in the KPZ fixed point Convergence of exclusion processes and the KPZ equation to the KPZ fixed point

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.325616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c210c2d4-567f-4ba9-8f77-d029a0ad3be5 · outbound

This paper cites Infinite geodesics, competition interfaces and the second class particle in the scaling limit.

Exceptional force, uncountably many solutions in the KPZ fixed point Infinite geodesics, competition interfaces and the second class particle in the scaling limit

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.314492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c7f0c049-5d68-4924-90e8-0092908f2703 · outbound

This paper cites Shocks and instability in Brownian last-passage percolation.

Exceptional force, uncountably many solutions in the KPZ fixed point Shocks and instability in Brownian last-passage percolation

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-15T21:31:51.811850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76bc8421-d0f3-490f-ba17-5f52631c6573 · outbound

This paper cites an unresolved cited work.

Exceptional force, uncountably many solutions in the KPZ fixed point Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:31:52.304035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 42ea608d-23fe-4ba2-a601-804ded73cf67 · outbound

This paper cites Existence, uniqueness and coalescence of directed planar geodesics: proof via the increment- stationary growth process.

Exceptional force, uncountably many solutions in the KPZ fixed point Existence, uniqueness and coalescence of directed planar geodesics: proof via the increment- stationary growth process

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.293771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3d393402-8b20-42d3-b6ae-bc65ff4a57da · outbound

This paper cites Busemann process and semi-infinite geodesics in Brownian last-passage percolation.

Exceptional force, uncountably many solutions in the KPZ fixed point Busemann process and semi-infinite geodesics in Brownian last-passage percolation

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.281961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1c7474de-2f60-4194-a0ff-9ba9f233367c · outbound

This paper cites Global structure of semi-infinite geodesics and competition interfaces in Brownian last-passage percolation.

Exceptional force, uncountably many solutions in the KPZ fixed point Global structure of semi-infinite geodesics and competition interfaces in Brownian last-passage percolation

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.269188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e5f765ec-c19c-4c35-a012-a845841c9d65 · outbound

This paper cites an unresolved cited work.

Exceptional force, uncountably many solutions in the KPZ fixed point Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:31:52.257991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3781af2e-6457-44a9-8e62-e997d25335eb · outbound

This paper cites an unresolved cited work.

Exceptional force, uncountably many solutions in the KPZ fixed point Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:31:52.246300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1d3aa38e-06e0-4b65-b10e-638b31a018c7 · outbound

This paper cites The heat and the landscape I.

Exceptional force, uncountably many solutions in the KPZ fixed point The heat and the landscape I

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-15T21:31:51.844456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4aa0e6b-5d35-47b1-bfae-1147cdaccc5e · outbound

This paper cites On the number of infinite geodesics and ground states in disordered systems.

Exceptional force, uncountably many solutions in the KPZ fixed point On the number of infinite geodesics and ground states in disordered systems

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:31:52.235260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation db1a5f6d-2c78-49ec-b91f-20435f0ce7a0 · outbound

This paper cites The KPZ equation and the directed landscape.

Exceptional force, uncountably many solutions in the KPZ fixed point The KPZ equation and the directed landscape

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-15T21:31:51.853870Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db501411-2e6c-4cbc-b5bd-f9ef645a9e40 · outbound

This paper cites an unresolved cited work.

Exceptional force, uncountably many solutions in the KPZ fixed point Unresolved cited work

Reference 2017

Resolution: verified exact; doi, observed 2026-08-15T21:31:51.890794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

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

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

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 67903c8d-2e19-4693-9486-dfab2d78fda6 · inbound

Shocks, instability, and the twenty networks of infinite geodesics in the Directed Landscape cites this paper.

Shocks, instability, and the twenty networks of infinite geodesics in the Directed Landscape Exceptional force, uncountably many solutions in the KPZ fixed point

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-10T14:00:28.852963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation aaf1b9c8-c948-4d68-9d92-8a4e9c60a222 · inbound

The Martin boundary of the Directed Landscape cites this paper.

The Martin boundary of the Directed Landscape Exceptional force, uncountably many solutions in the KPZ fixed point

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-21T03:34:28.997187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 62376dad-ebbb-4c5d-a7d8-5ecae5f10d17 · 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 Exceptional force, uncountably many solutions in the KPZ fixed point

Reference 7

Resolution: metadata mismatch; arxiv_id, observed 2026-06-29T22:54:01.683216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.