Paper Citation Record · LEDGER

Spontaneous stochasticity in a 3d Weierstrass-ABC flow

As of 21 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2502.07581.

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

pith.paper-citation-record.v1
2502.07581 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T12:18:45.206024Z

measured 38 of 38 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

38 of 38 outbound references displayed

verified exact1
verified fuzzy36
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0ef97872-16bb-4afa-ae9f-9fa698e876f3 · outbound

This paper cites Sur une proprietes topologique des applications globalment canonique de la mechanique classique.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Sur une proprietes topologique des applications globalment canonique de la mechanique classique

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:47.423958Z

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 e3d84bbe-b63b-4a29-93cd-d6bf9ad54e01 · outbound

This paper cites Zero-noise solutions of linear transport equations without uniqueness: an example.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Zero-noise solutions of linear transport equations without uniqueness: an example

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:47.408943Z

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 38a74831-d816-4889-8c00-52ad62721084 · outbound

This paper cites Spontaneous Stochasticity Amplifies Even Thermal Noise to the Largest Scales of Turbulence in a Few Eddy Turnover Times.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Spontaneous Stochasticity Amplifies Even Thermal Noise to the Largest Scales of Turbulence in a Few Eddy Turnover Times

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:47.391211Z

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 b6561413-baed-49ee-9fa5-55016af208c7 · outbound

This paper cites Rayleigh-Taylor turbulence with singular nonuniform initial conditions.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Rayleigh-Taylor turbulence with singular nonuniform initial conditions

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:47.375634Z

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 f2ad4989-c73f-4c5f-9f03-2eddee06cded · outbound

This paper cites Time scales of turbulent relative dispersion.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Time scales of turbulent relative dispersion

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:47.359587Z

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 7f314905-3a18-415d-8bd7-8054576459ee · outbound

This paper cites Chaotic streamlines in the ABC flows.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Chaotic streamlines in the ABC flows

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:47.227978Z

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 1f3a8d25-c774-4e57-8cae-c2fe7ea03549 · outbound

This paper cites Statistical determinism in non-Lipschitz dynamical systems.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Statistical determinism in non-Lipschitz dynamical systems

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:47.103319Z

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 bff8c3b8-3245-4ced-832d-7efc4681f2e2 · outbound

This paper cites Beyond Kolmogorov cascades.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Beyond Kolmogorov cascades

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:47.088687Z

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 4a750c99-8633-4d0f-bf07-8961268ff6ef · outbound

This paper cites Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:47.073265Z

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 735f7a89-ea22-4182-b147-a2f7cf92a535 · outbound

This paper cites Pair dispersion over an inertial range spanning many decades.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Pair dispersion over an inertial range spanning many decades

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:47.058080Z

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 b87a85cf-287f-4796-8d60-aec2283841dc · outbound

This paper cites Turbulence noise.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Turbulence noise

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:47.040868Z

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 ea83ddbe-9b7a-4ecb-b14f-78da6d57ac9d · outbound

This paper cites Energy dissipation without viscosity in ideal hydrodynamics I. Fourier analysis and local energy transfer.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Energy dissipation without viscosity in ideal hydrodynamics I. Fourier analysis and local energy transfer

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:46.954605Z

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 4a4012fa-1095-409c-80f9-f4814dd656ed · outbound

This paper cites Renormalization group approach to spontaneous stochasticity.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Renormalization group approach to spontaneous stochasticity

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:46.702448Z

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 a2614b60-5ac0-4d55-9acc-06d336661914 · outbound

This paper cites Suppression of particle dispersion by sweeping effects in synthetic turbulence.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Suppression of particle dispersion by sweeping effects in synthetic turbulence

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:46.636386Z

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 38631853-dcf9-4439-a3b5-7633d86deaad · outbound

This paper cites Particles and fields in fluid turbulence.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Particles and fields in fluid turbulence

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:46.618626Z

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 cb9f47fe-ef48-4627-8b90-695813688cae · outbound

This paper cites Topics on regularization by noise.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Topics on regularization by noise

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:46.451144Z

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 39220ddd-822f-40d4-916e-8401ba3a6d3e · outbound

This paper cites A singular large deviations phenomenon.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow A singular large deviations phenomenon

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:46.326347Z

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 9c03af11-ce47-4034-8e46-3a89c54b04de · outbound

This paper cites Sur la topologie des lignes de courant dans un cas particulier.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Sur la topologie des lignes de courant dans un cas particulier

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:46.310009Z

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 14a09779-db38-47b9-b139-c6fab9ecee43 · outbound

This paper cites Nondeterministic dynamics and turbulent transport.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Nondeterministic dynamics and turbulent transport

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:46.232125Z

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 f38f2328-94ca-4dfe-a07e-f9d25db21fc4 · outbound

This paper cites Predictability of turbulent flows.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Predictability of turbulent flows

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:46.129245Z

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 4e96db65-cc8e-4f8a-a5cc-e23537271461 · outbound

This paper cites The predictability of a flow which possesses many scales of motion.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow The predictability of a flow which possesses many scales of motion

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:46.110625Z

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 2d5efe5b-7c66-45ec-b49e-a030f93f08c7 · outbound

This paper cites RG analysis of spontaneous stochasticity on a fractal lattice: stability and bifurcations.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow RG analysis of spontaneous stochasticity on a fractal lattice: stability and bifurcations

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-08T12:18:45.316452Z

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 ccccfc99-2782-41fa-b536-a69527f65165 · outbound

This paper cites Spontaneously stochastic solutions in one-dimensional inviscid systems.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Spontaneously stochastic solutions in one-dimensional inviscid systems

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:45.928963Z

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 4e57ba1b-f600-4a9e-8d52-8dd0af9be4d8 · outbound

This paper cites Toward analytic theory of the Rayleigh–Taylor instability: lessons from a toy model.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Toward analytic theory of the Rayleigh–Taylor instability: lessons from a toy model

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:45.868556Z

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 6b21a98b-9375-4075-8450-fd1eeca42c45 · outbound

This paper cites Spontaneous stochasticity and renormalization group in discrete multi-scale dynamics.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Spontaneous stochasticity and renormalization group in discrete multi-scale dynamics

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:45.853020Z

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 bacf9e72-0358-45a1-adf1-dd3554daf68c · outbound

This paper cites Spontaneously Stochastic Arnold’s Cat.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Spontaneously Stochastic Arnold’s Cat

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:45.837446Z

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 67c951e1-5773-45cb-be92-4a9e8cbc7dc4 · outbound

This paper cites Finite-time Lyapunov exponents in the instantaneous limit and material transport.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Finite-time Lyapunov exponents in the instantaneous limit and material transport

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:45.781033Z

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 4ce55e9c-aafa-479c-bc25-c48fcadc0d34 · outbound

This paper cites Statistical hydrodynamics.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Statistical hydrodynamics

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:45.649314Z

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 0a94dc12-c72a-41b0-91c5-f32db679072b · outbound

This paper cites Adaptive methods for stochastic differential equations via natural embeddings and rejection sampling with memory.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Adaptive methods for stochastic differential equations via natural embeddings and rejection sampling with memory

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:45.628585Z

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 3c477180-c771-4470-9deb-083507acc8e3 · outbound

This paper cites Atmospheric diffusion shown on a distance-neighbour graph.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Atmospheric diffusion shown on a distance-neighbour graph

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:45.612189Z

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 3b0ae333-906e-4e06-a23f-6c5be92c16c4 · outbound

This paper cites Microscopic fluctuations and turbulence.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Microscopic fluctuations and turbulence

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:45.580278Z

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 112233da-7d24-4376-999b-15468368ca4d · outbound

This paper cites Extreme Events in the Dispersions of Two Neighboring Particles Under the Influence of Fluid Turbulence.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Extreme Events in the Dispersions of Two Neighboring Particles Under the Influence of Fluid Turbulence

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:45.563768Z

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 1b905a1b-417d-42c2-9bac-a55406c61f1d · outbound

This paper cites From the butterfly effect to spontaneous stochasticity in singular shear flows.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow From the butterfly effect to spontaneous stochasticity in singular shear flows

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:45.455116Z

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 f4e7a3d3-46c5-48ff-84ca-0567d97a2cad · outbound

This paper cites Turbulent pair dispersion as a continuous-time random walk.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Turbulent pair dispersion as a continuous-time random walk

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:45.381373Z

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 5fa9b1d5-8783-40c5-b710-f762d53e4208 · outbound

This paper cites Particle pair separation in kinematic simulations.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Particle pair separation in kinematic simulations

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:45.366111Z

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 c6893e84-4698-404f-b601-f103d2d6181e · outbound

This paper cites Generalized flows, intrinsic stochasticity, and turbulent transport.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Generalized flows, intrinsic stochasticity, and turbulent transport

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:45.349593Z

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 c42e6876-15b6-41ef-bfe2-cbd5d27c728a · outbound

This paper cites On Lagrangian properties of turbulent Rayleigh–B´ enard convection.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow On Lagrangian properties of turbulent Rayleigh–B´ enard convection

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:18:45.334474Z

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 426fd3ec-f32b-4c22-a6e9-03b828537bc9 · outbound

This paper cites an unresolved cited work.

Spontaneous stochasticity in a 3d Weierstrass-ABC flow Unresolved cited work

Reference 737

Resolution: unresolved; raw_fallback, observed 2026-08-08T12:18:45.595616Z

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

No inbound Pith citation observations are available.