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Paper Citation Record · LEDGER

Exponential scalar mixing for the 2D Navier-Stokes equations with degenerate stochastic forcing

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2408.02459.

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

pith.paper-citation-record.v1
2408.02459 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 2026-08-07T12:53:27.470986Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T08:42:45.608218Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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 3fa9fe26-3fd1-46cb-b498-193d748152e7 · inbound

Ergodicity and mixing for locally monotone stochastic evolution equations cites this paper.

Ergodicity and mixing for locally monotone stochastic evolution equations Exponential scalar mixing for the 2D Navier-Stokes equations with degenerate stochastic forcing

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-23T08:42:45.611060Z

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.

source=pdf_text observed=2026-05-23T08:38:05.258081Z digest=sha256:89d47d4406540ce8e4a5c0aab80c559cb9b2dc8f39f3b4fdcfba1cc6763f2b86

Observation ed10ff2a-523a-41c3-83a5-31fef11a3e1a · inbound

A subsequentially fast dynamo on $\mathbb{T}^3$ cites this paper.

A subsequentially fast dynamo on $\mathbb{T}^3$ Exponential scalar mixing for the 2D Navier-Stokes equations with degenerate stochastic forcing

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T12:53:27.470986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:53:27.470986Z digest=sha256:5f1415c38d34356cd5d463b45d186411b2cac9c11f9f5f7b8f3f865d04c051b6

Observation cc9d886a-b375-40c1-b02c-b6b0c86a6f08 · inbound

Superexponential dissipation enhancement on $\mathbb{T}^d$ cites this paper.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Exponential scalar mixing for the 2D Navier-Stokes equations with degenerate stochastic forcing

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-05T12:17:31.137765Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T12:17:31.137765Z digest=sha256:8e9c9d5dd1f6507a5b38114a4cfc7240da7a4c2de22ce0b2c7f481c435998db7

Observation 9811c876-95a9-497a-9044-98af3b1dc511 · inbound

Lagrangian chaos for the 2D Navier-Stokes equations driven by mildly degenerate noise cites this paper.

Lagrangian chaos for the 2D Navier-Stokes equations driven by mildly degenerate noise Exponential scalar mixing for the 2D Navier-Stokes equations with degenerate stochastic forcing

Reference 26

Resolution
metadata mismatch
arxiv_id, observed 2026-05-15T07:09:49.370342Z

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.

source=pdf_text observed=2026-05-15T07:06:35.088430Z digest=sha256:c6be577f9b250cf81839f9d29ac80cf5dac914e1537ab1a2e6efc23902c8ac91