Paper Citation Record · LEDGER

Unbounded rough drivers, rough PDEs and applications

As of 12 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 2 inbound Pith citation observations for arXiv:2501.01186.

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

pith.paper-citation-record.v1
2501.01186 v2

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:40:41.906279Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T20:56:19.972764Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T00:10:51.558583Z

Reference resolution

33 of 33 outbound references displayed

verified exact2
verified fuzzy27
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5c0f7245-0434-4189-bdb1-255bfb9f4479 · outbound

This paper cites an unresolved cited work.

Unbounded rough drivers, rough PDEs and applications Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:40:42.292946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0a11d1dd-15eb-47cc-b413-2b7638b73be1 · outbound

This paper cites Unbounded rough drivers.

Unbounded rough drivers, rough PDEs and applications Unbounded rough drivers

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.282681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1f212104-d243-4981-ae8e-c3ff874f04b6 · outbound

This paper cites Rough nonlocal diﬀusions.

Unbounded rough drivers, rough PDEs and applications Rough nonlocal diﬀusions

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.271683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 806ba5fe-0cb0-433a-8ead-26a0f767f3dc · outbound

This paper cites Holm, James-Michael Leahy, and Torstein Nilssen.

Unbounded rough drivers, rough PDEs and applications Holm, James-Michael Leahy, and Torstein Nilssen

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.261096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 67f57e5f-faab-402b-8f28-42a4c76a4f4b · outbound

This paper cites Holm, James-Michael Leahy, and Torstein Nilssen.

Unbounded rough drivers, rough PDEs and applications Holm, James-Michael Leahy, and Torstein Nilssen

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.251301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2f8db19a-5ba6-4944-abcf-a936c8ba32d8 · outbound

This paper cites Stochastic equations in inﬁnite dimensions.

Unbounded rough drivers, rough PDEs and applications Stochastic equations in inﬁnite dimensions

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.241459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation feadb8fb-cfc6-4954-8518-5de82a7940f6 · outbound

This paper cites Rough analysis of two scale systems.

Unbounded rough drivers, rough PDEs and applications Rough analysis of two scale systems

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T22:40:41.812474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8f6da4b-3481-413d-94cb-77c904dfc63f · outbound

This paper cites A priori estimates for rough pdes with application to rough conservation law s.

Unbounded rough drivers, rough PDEs and applications A priori estimates for rough pdes with application to rough conservation law s

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.231421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a3b62598-d2d8-42e5-a4dc-9c8784568377 · outbound

This paper cites Stochastic partia l diﬀerential equations: a rough paths view on weak solutions via feynman–kac.

Unbounded rough drivers, rough PDEs and applications Stochastic partia l diﬀerential equations: a rough paths view on weak solutions via feynman–kac

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.219836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 74b76515-6d09-4a3b-8bf9-854465ff7926 · outbound

This paper cites Ordinary diﬀerential eq uations, transport theory and Sobolev spaces.

Unbounded rough drivers, rough PDEs and applications Ordinary diﬀerential eq uations, transport theory and Sobolev spaces

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.208864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 89cf4877-59af-48a0-a3aa-4cbb8d41ab91 · outbound

This paper cites Global well-posedness of the 3D Navier-Stokes equations perturbed by a deterministic ve ctor ﬁeld.

Unbounded rough drivers, rough PDEs and applications Global well-posedness of the 3D Navier-Stokes equations perturbed by a deterministic ve ctor ﬁeld

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.198354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ac262e80-3e14-4cbd-8f96-53df221acf83 · outbound

This paper cites High mode transport noise impro ves vorticity blow-up control in 3D Navier-Stokes equations.

Unbounded rough drivers, rough PDEs and applications High mode transport noise impro ves vorticity blow-up control in 3D Navier-Stokes equations

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.187455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7c1cd8b7-2129-40c9-875b-314a884d8d40 · outbound

This paper cites Friz, Torstein Nilssen, and Wilhelm Stannat.

Unbounded rough drivers, rough PDEs and applications Friz, Torstein Nilssen, and Wilhelm Stannat

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.176877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d27a5704-5bf5-4566-bfdb-df94260dafce · outbound

This paper cites Multidimensional stochastic processes as rough paths: theory and applications , volume 120.

Unbounded rough drivers, rough PDEs and applications Multidimensional stochastic processes as rough paths: theory and applications , volume 120

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.166943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a775a6c1-9bc0-43b0-9ca3-4ad5745112a1 · outbound

This paper cites On the well-posedness of (nonlinear) rough continuity equations.

Unbounded rough drivers, rough PDEs and applications On the well-posedness of (nonlinear) rough continuity equations

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:40:41.978716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bc0a32e6-379e-4871-ada7-e6732e2ae2a5 · outbound

This paper cites Geom etric rough paths on inﬁnite dimensional spaces.

Unbounded rough drivers, rough PDEs and applications Geom etric rough paths on inﬁnite dimensional spaces

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.155269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b9344376-dde1-42a1-8423-14b1bd277f44 · outbound

This paper cites Rough evolution equations.

Unbounded rough drivers, rough PDEs and applications Rough evolution equations

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.144925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9f4dec4c-04af-4dfd-92df-3f52448244da · outbound

This paper cites On ergodic invariant measures for the stochastic Landau-Lifschitz-Gilbert equation in 1D.

Unbounded rough drivers, rough PDEs and applications On ergodic invariant measures for the stochastic Landau-Lifschitz-Gilbert equation in 1D

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:40:41.962195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b8126a27-b752-4027-95bc-b623377eda51 · outbound

This paper cites Pathwise central limit theorem and moderate deviations via rough paths for SPDEs with multiplicative noise.

Unbounded rough drivers, rough PDEs and applications Pathwise central limit theorem and moderate deviations via rough paths for SPDEs with multiplicative noise

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-10T22:40:41.856211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1e9b3b1-841c-4d4a-a0e0-4b93c72dd995 · outbound

This paper cites A pathwise stochast ic landau-lifshitz-gilbert equa- tion with application to large deviations.

Unbounded rough drivers, rough PDEs and applications A pathwise stochast ic landau-lifshitz-gilbert equa- tion with application to large deviations

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.134330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 15daf0ca-5e45-42b9-889e-913cef88c3f3 · outbound

This paper cites The Landau-Lifshitz-Gilbert equation driven by Gaussian n oise.

Unbounded rough drivers, rough PDEs and applications The Landau-Lifshitz-Gilbert equation driven by Gaussian n oise

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.124193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6e638983-9c26-4e12-ba76-227e329ed3d3 · outbound

This paper cites Quasilinear rough partial diﬀerential equatio ns with transport noise.

Unbounded rough drivers, rough PDEs and applications Quasilinear rough partial diﬀerential equatio ns with transport noise

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.113593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 32116c5c-522c-45c7-b8ad-056c79122a1f · outbound

This paper cites An energy method f or rough partial diﬀerential equations.

Unbounded rough drivers, rough PDEs and applications An energy method f or rough partial diﬀerential equations

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.103039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9d28a967-e561-4784-a349-d70580f694c0 · outbound

This paper cites An itˆ o formula for rough partial diﬀerential equations and some applications.

Unbounded rough drivers, rough PDEs and applications An itˆ o formula for rough partial diﬀerential equations and some applications

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.092354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 40a6ddb5-6ce9-475c-a17a-b7a4291c5efa · outbound

This paper cites Genera lized burgers equation with rough transport noise.

Unbounded rough drivers, rough PDEs and applications Genera lized burgers equation with rough transport noise

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.081241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5a85ef5a-73bc-42a4-922a-8b0343a9e46c · outbound

This paper cites On the rough gronwall lemma and its applica tions.

Unbounded rough drivers, rough PDEs and applications On the rough gronwall lemma and its applica tions

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.069803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7ed27bcc-7357-4907-9127-51539203d85a · outbound

This paper cites On the navier–stokes equa- tion perturbed by rough transport noise.

Unbounded rough drivers, rough PDEs and applications On the navier–stokes equa- tion perturbed by rough transport noise

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.058103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e96c467f-2288-4344-9afa-e0318248a142 · outbound

This paper cites On a rough perturbation of the Navier-Stokes system and its vorticity formulation.

Unbounded rough drivers, rough PDEs and applications On a rough perturbation of the Navier-Stokes system and its vorticity formulation

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.045822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation addd6eed-0e58-42f0-9ca3-983416f4cbb4 · outbound

This paper cites Ladyzhenskaya, V.

Unbounded rough drivers, rough PDEs and applications Ladyzhenskaya, V

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.034414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a733dc7f-06cd-471c-bcd0-23e010f6e155 · outbound

This paper cites Interpolation theory.

Unbounded rough drivers, rough PDEs and applications Interpolation theory

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.023046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0cac9564-df7e-49ce-ad50-d7397fa59e68 · outbound

This paper cites A harnack inequality for parabolic diﬀerential e quations.

Unbounded rough drivers, rough PDEs and applications A harnack inequality for parabolic diﬀerential e quations

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.011727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5b6f0283-eca2-4aa7-904f-ce2e8ac48824 · outbound

This paper cites Well-posedness of rough 2D Euler equation with bounded vorticity.

Unbounded rough drivers, rough PDEs and applications Well-posedness of rough 2D Euler equation with bounded vorticity

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-10T22:40:41.902253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d395262f-28d3-4fca-aab3-7313e19f5a9e · outbound

This paper cites Theory of Function Spaces.

Unbounded rough drivers, rough PDEs and applications Theory of Function Spaces

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:40:42.000432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation 6f85789f-7ad4-4b41-aa1c-3e78dbf0a5d7 · inbound

On the well-posedness of (nonlinear) rough continuity equations cites this paper.

On the well-posedness of (nonlinear) rough continuity equations Unbounded rough drivers, rough PDEs and applications

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-08T20:56:19.972764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9efdc202-5e73-4e2c-a42f-b5339155604c · inbound

Well-posedness and Hurst parameter estimation for fluid equations driven by fractional transport noise cites this paper.

Well-posedness and Hurst parameter estimation for fluid equations driven by fractional transport noise Unbounded rough drivers, rough PDEs and applications

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:10:51.560646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.