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Paper Citation Record · LEDGER

On the well-posedness of (nonlinear) rough continuity equations

As of 11 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2502.04982.

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

pith.paper-citation-record.v1
2502.04982 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T20:56:19.994687Z

measured 15 of 15 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:40:41.841819Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T22:40:41.974192Z

Reference resolution

14 of 14 outbound references displayed

  • verified exact3
  • verified fuzzy5
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d6f1d185-b918-48f4-a919-1c84ea765b49 · outbound

This paper cites Lagrangian stability for a system of non-local continuity equations under Osgood condition.

On the well-posedness of (nonlinear) rough continuity equations Lagrangian stability for a system of non-local continuity equations under Osgood condition

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-08T20:56:20.044032Z

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.

source=pdf_text observed=2026-08-08T20:56:19.979966Z digest=sha256:e775eb183a82983dbafa82d9a94167867f13f238ef5075e196cdd3c317583878

Observation d671dba7-3a4d-479d-8c38-0be18cdb29a5 · outbound

This paper cites The Vlasov-Poisson and Vlasov-Poisson-Fokker-Planck systems in stochastic electromagnetic fields: local well-posedness.

On the well-posedness of (nonlinear) rough continuity equations The Vlasov-Poisson and Vlasov-Poisson-Fokker-Planck systems in stochastic electromagnetic fields: local well-posedness

Reference 1956

Resolution
verified exact
local_arxiv, observed 2026-08-08T20:56:20.173045Z

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.

source=pdf_text observed=2026-08-08T20:56:19.950583Z digest=sha256:4ca23ee3412ca30badafe1f6ec86f02de75b8c5677cf947ec1bbc1db6df3f364

Observation 5a47dd3c-b93e-40b7-86a5-04fadd561ab1 · outbound

This paper cites an unresolved cited work.

On the well-posedness of (nonlinear) rough continuity equations Unresolved cited work

Reference 1963

Resolution
unresolved
raw_fallback, observed 2026-08-08T20:56:20.194551Z

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.

source=pdf_text observed=2026-08-08T20:56:19.994687Z digest=sha256:6d033886c139b18ae14b33387a71cdda454c69c3b601d9cbc9a7771aa3d80a99

Observation 0bb3c501-845b-4ddc-bb8f-a4618c34b7a6 · outbound

This paper cites Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity.

On the well-posedness of (nonlinear) rough continuity equations Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity

Reference 1992

Resolution
unresolved
no resolver link, observed 2026-08-08T20:56:19.946012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T20:56:19.946012Z digest=sha256:6ee8c23a2bacb927e319287724728f77da2812216ec8266ad36644d4ec855a95

Observation 89cc1981-8c71-491e-9c0c-66f18908b568 · outbound

This paper cites [Loe06] Gr´ egoire Loeper.

On the well-posedness of (nonlinear) rough continuity equations [Loe06] Gr´ egoire Loeper

Reference 1997

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T20:56:20.215543Z

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.

source=pdf_text observed=2026-08-08T20:56:19.983853Z digest=sha256:2df83308bcb8d7eb4180a2a2888d0797fed3978b7e1e056b6b3f09716aa9f11d

Observation d0086c49-b4a6-44d2-a968-560ccc89ab02 · outbound

This paper cites Medvedev.

On the well-posedness of (nonlinear) rough continuity equations Medvedev

Reference 1998

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T20:56:20.205277Z

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.

source=pdf_text observed=2026-08-08T20:56:19.987497Z digest=sha256:63767728cad72e417ec97c3c0c93b2a93f1ea1000de1094c95f275fc688ca248

Observation 5cc4fbbf-6e20-4c4d-b240-5f1b2d844376 · outbound

This paper cites Navier-Stokes Equations with Navier Boundary Conditions and Stochastic Lie Transport: Well-Posedness and Inviscid Limit.

On the well-posedness of (nonlinear) rough continuity equations Navier-Stokes Equations with Navier Boundary Conditions and Stochastic Lie Transport: Well-Posedness and Inviscid Limit

Reference 2010

Resolution
metadata mismatch
local_arxiv, observed 2026-08-08T20:56:20.067269Z

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.

source=pdf_text observed=2026-08-08T20:56:19.968891Z digest=sha256:c0c77813a40d988f9d2a2343767763bdccbf53082e52352ba5c97e599af42fc7

Observation dd4bb0c4-fd25-4542-b1cc-4f90a933a582 · outbound

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

On the well-posedness of (nonlinear) rough continuity equations [Saint-Flour Probability Summer School]

Reference 2011

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T20:56:20.236500Z

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.

source=pdf_text observed=2026-08-08T20:56:19.965548Z digest=sha256:143ef1b99dc8003ab89ae91571b333cc45e4fdb0d37840a9dc30a5411ec5a376

Observation 60e4e9d8-be04-48c1-b4d6-52de07f32498 · outbound

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

On the well-posedness of (nonlinear) rough continuity equations Well-posedness of rough 2D Euler equation with bounded vorticity

Reference 2017

Resolution
verified exact
local_arxiv, observed 2026-08-08T20:56:20.028809Z

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.

source=pdf_text observed=2026-08-08T20:56:19.991046Z digest=sha256:b9d1f8277f8cdefc83a60019f891370134f0dcf5dac97cf8694db36ffca575c3

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

This paper cites Unbounded rough drivers, rough PDEs and applications.

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.

source=pdf_text observed=2026-08-08T20:56:19.972764Z digest=sha256:35473cceceeb00fbb5d2cd750375f96a3f591c0a50dc7afcfac4025225160242

Observation 2cddc679-833a-4dfe-bb3e-b470fc30fa4d · outbound

This paper cites [FHL21] Peter K.

On the well-posedness of (nonlinear) rough continuity equations [FHL21] Peter K

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-08T20:56:19.957957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T20:56:19.957957Z digest=sha256:003c72e99ab67d6b2932d21c4b0bd0e905bdf8198a727a9430d6a522fbc62810

Observation eff87305-030d-4910-8d68-003a1d53dcc1 · outbound

This paper cites an unresolved cited work.

On the well-posedness of (nonlinear) rough continuity equations Unresolved cited work

Reference 2021

Resolution
unresolved
raw_fallback, observed 2026-08-08T20:56:20.225998Z

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.

source=pdf_text observed=2026-08-08T20:56:19.976449Z digest=sha256:45551ecfa92cd8aa700c386360eec902a111ef2bbbd675f4b4932f148a5bc2c8

Observation 2e8e09fc-1c39-4788-a1e6-6574a2729e57 · outbound

This paper cites [Fla11] Franco Flandoli.

On the well-posedness of (nonlinear) rough continuity equations [Fla11] Franco Flandoli

Reference 2023

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T20:56:20.247364Z

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.

source=pdf_text observed=2026-08-08T20:56:19.961855Z digest=sha256:da11d8090ce7c6d61028ab03bfe5ca3c631127629a4779b4a563b2b869090b39

Observation 5c062a4e-bc81-4d91-95e6-3b9d91afdd8c · outbound

This paper cites [CHK23] D.

On the well-posedness of (nonlinear) rough continuity equations [CHK23] D

Reference 2024

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T20:56:20.258083Z

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.

source=pdf_text observed=2026-08-08T20:56:19.954434Z digest=sha256:04d0272a8ac9cc41b8756f7ddb725272025beb4575947eb010a4eddd9d8b0132

Pith citing papers

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

Unbounded rough drivers, rough PDEs and applications cites this paper.

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.

source=pdf_text observed=2026-08-10T22:40:41.841819Z digest=sha256:b32426764dec7df4f4f7e8529d956b4d0df315062bef67aa71f4f445cae84441