Pith. sign in

Paper Citation Record · LEDGER

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions

As of 21 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 2 inbound Pith citation observations for arXiv:2506.06947.

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

pith.paper-citation-record.v1
2506.06947 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T06:01:42.245250Z

measured 25 of 25 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:15:24.409451Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T16:15:24.935558Z

Reference resolution

23 of 23 outbound references displayed

  • verified exact6
  • verified fuzzy8
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f6253d49-c1dd-4626-abe6-96fc30580f79 · outbound

This paper cites Existence and uniqueness by Kraichnan noise for 2D Euler equations with unbounded vorticity.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Existence and uniqueness by Kraichnan noise for 2D Euler equations with unbounded vorticity

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T06:01:42.174096Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:01:42.174096Z digest=sha256:7c37e76697f3c7422c9c1ec14676430faaaa379f8834ed344789cc4683857cea

Observation 167fa4ad-5d3a-43f8-a821-cf7faa00a638 · outbound

This paper cites Large deviations for fast transport stochastic RDEs with applica- tions to the exit problem.The Annals of Applied Probability, 29(4):1993–2032,.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Large deviations for fast transport stochastic RDEs with applica- tions to the exit problem.The Annals of Applied Probability, 29(4):1993–2032,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:01:42.706121Z

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.

source=pdf_text observed=2026-08-07T06:01:42.179975Z digest=sha256:5795d789b53ea8333f97f21d0de1b4a7b99e8cc6064e20701b400c1ff12e3bac

Observation 40bb8003-a6a8-41cc-95d5-4a9aa3e5fff5 · outbound

This paper cites an unresolved cited work.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T06:01:42.686017Z

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.

source=pdf_text observed=2026-08-07T06:01:42.190099Z digest=sha256:66d6f709c41e50cce2a3fa5263ce996637ab43ccad2b1116687fd4f7f68ceac1

Observation 2150e6cb-bdbf-46bc-9503-1bc844b6e547 · outbound

This paper cites On the zero-noise limit for SDE’s singular at the initial time.arXiv preprint arXiv:2503.22905,.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions On the zero-noise limit for SDE’s singular at the initial time.arXiv preprint arXiv:2503.22905,

Reference 20

Resolution
verified exact
raw_fallback, observed 2026-08-07T06:01:42.401492Z

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.

source=pdf_text observed=2026-08-07T06:01:42.229731Z digest=sha256:5d1ab15da482cc281685c3a4d2e17ab01bdbf694aa2af35f1db0cd543cecc11a

Observation 6a0bac57-5b29-4e7c-a5c1-3c47df364abf · outbound

This paper cites Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part I.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part I

Reference 1981

Resolution
unresolved
no resolver link, observed 2026-08-07T06:01:42.240139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:01:42.240139Z digest=sha256:589e7e0faf41217cf22b32727ba9902c886af8f526971c49fad33f7900f306d5

Observation 17bd23ed-f858-4ff0-9e71-8e6b6ab9eb38 · outbound

This paper cites Zero noise limit for multidimensional SDEs driven by a pointy gradient.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Zero noise limit for multidimensional SDEs driven by a pointy gradient

Reference 1989

Resolution
verified exact
local_arxiv, observed 2026-08-07T06:01:42.499963Z

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.

source=pdf_text observed=2026-08-07T06:01:42.184835Z digest=sha256:356ee4b2f8c0ad14cc9ec2e56b1e80aae2cbec8d3562a9b78038dae31d185974

Observation 675f7e2e-7b5e-41f3-96f3-68975a282e08 · outbound

This paper cites Springer, Heidelberg,.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Springer, Heidelberg,

Reference 1995

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:01:42.670235Z

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.

source=pdf_text observed=2026-08-07T06:01:42.195433Z digest=sha256:42bddff731f890500ec9d1efba3563997ab29202ead00ce83db9756f937f4737

Observation 4bdd6014-2f30-4f25-88fc-524c76c382ea · outbound

This paper cites Weak well-posedness by transport noise for a class of 2D fluid dynamics equations.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Weak well-posedness by transport noise for a class of 2D fluid dynamics equations

Reference 1996

Resolution
unresolved
no resolver link, observed 2026-08-07T06:01:42.213869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:01:42.213869Z digest=sha256:666a5dac64d31729247ffdba4bd54328abe02ecde20a15cdf03f707e5c089264

Observation 2290af0f-8877-4efd-8569-6210da0f8d36 · outbound

This paper cites Strong Uniqueness by Kraichnan Transport Noise for the 2D Boussinesq Equations with Zero Viscosity.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Strong Uniqueness by Kraichnan Transport Noise for the 2D Boussinesq Equations with Zero Viscosity

Reference 1998

Resolution
verified exact
local_arxiv, observed 2026-08-07T06:01:42.424187Z

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.

source=pdf_text observed=2026-08-07T06:01:42.218793Z digest=sha256:23733b7cb5d8c1d91b7d69160f0afb0df5977468d40d11237be4c551b279728d

Observation 9d0772f7-5bd0-41f3-8774-644739dd9981 · outbound

This paper cites Anomalous Regularization in Kraichnan's Passive Scalar Model.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Anomalous Regularization in Kraichnan's Passive Scalar Model

Reference 2002

Resolution
unresolved
no resolver link, observed 2026-08-07T06:01:42.209057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:01:42.209057Z digest=sha256:26c6b25ac5261868d7ca08fd284d74a693dbc5b23ad94efd099ce09de57034b4

Observation 5e45ad77-4f1e-4d6e-8879-070bba69f907 · outbound

This paper cites Small random perturbations of Peano phenomena.Stochastics, 6(3- 4):279–292, 1981/82.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Small random perturbations of Peano phenomena.Stochastics, 6(3- 4):279–292, 1981/82

Reference 2004

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:01:42.737652Z

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.

source=pdf_text observed=2026-08-07T06:01:42.142806Z digest=sha256:5a074f967fdce915560a1692ef44d71c4fa060e273ac83d8c752ffcde501e763

Observation 2a18d278-d62d-419e-8edd-7916f25e1fbe · outbound

This paper cites On some recent results concerning non-uniqueness for the transport equation.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions On some recent results concerning non-uniqueness for the transport equation

Reference 2007

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:01:42.640519Z

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.

source=pdf_text observed=2026-08-07T06:01:42.224352Z digest=sha256:1d8f5ad24e78f0baf3d0a31623bd9f109e53d0ed1ee5bd8a7e7e9db875ab9bf0

Observation ffc8eabd-b67f-4688-9bca-6ee10d2932f2 · outbound

This paper cites Global smooth solutions by transport noise of 3D Navier-Stokes equations with small hyperviscosity.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Global smooth solutions by transport noise of 3D Navier-Stokes equations with small hyperviscosity

Reference 2009

Resolution
unresolved
no resolver link, observed 2026-08-07T06:01:42.137718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:01:42.137718Z digest=sha256:7b687e35bffaad427d7c4e3115f7c279836305dcf217f9c98f26d2098e789e97

Observation 701558e8-471f-4fe7-af70-ac18dd51d730 · outbound

This paper cites [Ver81] Alexander Ju Veretennikov.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions [Ver81] Alexander Ju Veretennikov

Reference 2010

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:01:42.625706Z

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.

source=pdf_text observed=2026-08-07T06:01:42.234598Z digest=sha256:113879e62bd41476e5c9363cb999862914d841717c93b32e760bced188a1d7c2

Observation ebe181b8-ae1d-4145-8fd5-621c0914d165 · outbound

This paper cites [Saint-Flour Probability Summer School].

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions [Saint-Flour Probability Summer School]

Reference 2011

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:01:42.655017Z

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.

source=pdf_text observed=2026-08-07T06:01:42.199803Z digest=sha256:72d73e914cf7fb72c8e3a2a0b0f5b76cc9430b40e18564e7722d37f72437af87

Observation a20c0941-cbad-4d75-b082-c33e42b2bac3 · outbound

This paper cites Soluble models of turbulent advection.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Soluble models of turbulent advection

Reference 2012

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T06:01:42.477682Z

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.

source=pdf_text observed=2026-08-07T06:01:42.204396Z digest=sha256:89b98ff7b6131266300563c2b8ebb0b337d5b773e0ea16c24b5b84215c16db20

Observation 256b6874-c9b3-4062-8b8e-f2584a4f73a5 · outbound

This paper cites A convex integration scheme for the continuity equation past the Sobolev embedding threshold.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions A convex integration scheme for the continuity equation past the Sobolev embedding threshold

Reference 2013

Resolution
verified exact
local_arxiv, observed 2026-08-07T06:01:42.539036Z

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.

source=pdf_text observed=2026-08-07T06:01:42.169043Z digest=sha256:eb172c45fe941585159b896802c7289d898f288d027fdce67281ed6175e567d3

Observation 8bf32676-7c9f-4603-916c-0f0e5c7342be · outbound

This paper cites Stochastic geometric wave equations with values in compact Riemannian homogeneous spaces.The Annals of Probability, 41(3B):1938–1977,.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Stochastic geometric wave equations with values in compact Riemannian homogeneous spaces.The Annals of Probability, 41(3B):1938–1977,

Reference 2014

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:01:42.722706Z

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.

source=pdf_text observed=2026-08-07T06:01:42.163380Z digest=sha256:58ff1c1e01f09fbbc4dfd8160972b553d3408592ed31aa1ac4bf1f63e127e195

Observation 01bb6ddd-a634-4f12-8748-965973814209 · outbound

This paper cites Regularization by rough Kraichnan noise for the generalised SQG equations.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Regularization by rough Kraichnan noise for the generalised SQG equations

Reference 2017

Resolution
verified exact
local_arxiv, observed 2026-08-07T06:01:42.581399Z

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.

source=pdf_text observed=2026-08-07T06:01:42.153070Z digest=sha256:33cac749926d3b7734c2d4b34dad84739116cda83f3290aa640be1ffe6f54062

Observation 24276267-a22e-4080-8345-b026754269d2 · outbound

This paper cites Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part II.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part II

Reference 2018

Resolution
unresolved
no resolver link, observed 2026-08-07T06:01:42.245250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:01:42.245250Z digest=sha256:fd86c726f016cd173d0ced70860493db6c61129d59a6ad0a3ba5dfa81a91367b

Observation 9c2f7254-0ab3-4cda-980d-bf62fd5c4fb8 · outbound

This paper cites [AF09] Stefano Attanasio and Franco Flandoli.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions [AF09] Stefano Attanasio and Franco Flandoli

Reference 2019

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:01:42.753062Z

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.

source=pdf_text observed=2026-08-07T06:01:42.132107Z digest=sha256:4fea3e63ff6d23459dc90f6d869e1a83693db841fda78c22f7f01c30792b9a17

Observation 6a484338-dedf-45d6-877f-e3de492707c4 · outbound

This paper cites Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-07T06:01:42.147950Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:01:42.147950Z digest=sha256:f7faba330eceffa328ec880e88c977646b2ef3a6938c61a37ecafaae37c6db69

Observation d55e0c2b-843a-473c-8bdf-21266c337104 · outbound

This paper cites Anomalous Regularization in Kazantsev-Kraichnan Model.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Anomalous Regularization in Kazantsev-Kraichnan Model

Reference 2024

Resolution
verified exact
local_arxiv, observed 2026-08-07T06:01:42.560699Z

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.

source=pdf_text observed=2026-08-07T06:01:42.158165Z digest=sha256:1e8f29c7c7bd890d71befe71300e05d17d3674cd1a09ab3485183182e9f06fff

Pith citing papers

Observation 288c6c6e-5eca-40b8-9c66-5ad2a90e9568 · inbound

Anomalous dissipation and regularization in isotropic Gaussian turbulence cites this paper.

Anomalous dissipation and regularization in isotropic Gaussian turbulence Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:15:24.940976Z

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.

source=arxiv_source observed=2026-08-15T16:15:24.409451Z digest=sha256:5cee123eaf9324cf6fd791d26d9a8958a410b69fe5c059d88b9c8f155f6a32a4

Observation 1071d3dc-8e91-4415-ae24-2358c699e66f · inbound

Failure of the Weak Sard property without Anomalous Dissipation cites this paper.

Failure of the Weak Sard property without Anomalous Dissipation Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions

Reference 28

Resolution
unresolved
no resolver link, observed 2026-07-30T12:53:43.309603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:53:43.309603Z digest=sha256:38a529a7160fd8996dc7b889bbd1d667db376dbd50c29c0cbf8e86f20c61b84d