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Paper Citation Record · LEDGER

Suppression of blow-up for the 3D Patlak-Keller-Segel-Navier-Stokes system via the Couette flow

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2412.19197.

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

pith.paper-citation-record.v1
2412.19197 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:10:41.523352Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T01:09:19.774702Z

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 06360581-5aed-420f-b092-442a3b94d85b · inbound

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces cites this paper.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Suppression of blow-up for the 3D Patlak-Keller-Segel-Navier-Stokes system via the Couette flow

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-16T11:10:41.523352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:10:41.523352Z digest=sha256:8e33346d351aca5216ac21a588aa8b80a221da71f896a5d0a1bf44ffd9d30406

Observation fd41df37-7073-4d61-b0d0-f902833044ca · inbound

On the sharp critical mass threshold for the 3D Patlak-Keller-Segel-Navier-Stokes system via Couette flow cites this paper.

On the sharp critical mass threshold for the 3D Patlak-Keller-Segel-Navier-Stokes system via Couette flow Suppression of blow-up for the 3D Patlak-Keller-Segel-Navier-Stokes system via the Couette flow

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-07T04:37:33.870388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:37:33.870388Z digest=sha256:a22c8c7570f4119609811412f19dcf042df3d5eb33e3fdea6c637bbdae2e0baa

Observation a3a47f54-4af2-41eb-9e18-322d16a1711c · inbound

Global bounded solutions for a class of generalized Hillen-Painter models near Couette flow in $\mathbb{R}^2$ cites this paper.

Global bounded solutions for a class of generalized Hillen-Painter models near Couette flow in $\mathbb{R}^2$ Suppression of blow-up for the 3D Patlak-Keller-Segel-Navier-Stokes system via the Couette flow

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-07-04T01:09:19.776084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-26T20:34:21.556736Z digest=sha256:28d0285d6bb0365fe1cf84ffd5db147cbf1c496a02bc5d83bc046a865775af0e