Paper Citation Record · LEDGER

Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2405.01670.

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

pith.paper-citation-record.v1
2405.01670 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:27:01.874678Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T06:59:45.657155Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
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malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation c6ceca8e-f308-44a4-bb7a-aa03c997ef42 · inbound

A priori error estimates for the $\theta$-method for the flow of nonsmooth velocity fields cites this paper.

A priori error estimates for the $\theta$-method for the flow of nonsmooth velocity fields Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T11:27:01.874678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

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.

Observation 10d09f9c-2b33-4c38-b689-4106fd459331 · inbound

Mixing and Small-Scale Formation in a Passive Divergence-Free Vector Field cites this paper.

Mixing and Small-Scale Formation in a Passive Divergence-Free Vector Field Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-14T19:07:50.882887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1441179e-ac24-401d-b256-9768ee56518a · inbound

Turbulent Dynamos on Bounded Domains and Their Generalization to the Geometric Transport Equation cites this paper.

Turbulent Dynamos on Bounded Domains and Their Generalization to the Geometric Transport Equation Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-21T06:59:45.659065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.