Paper Citation Record · LEDGER

A blow up solution of the Navier-Stokes equations with a critical force

As of 13 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2411.13896.

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

pith.paper-citation-record.v1
2411.13896 v3

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:59:42.600372Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

10 of 10 outbound references displayed

verified exact2
verified fuzzy5
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4cab9c79-e195-4896-bbc2-25a48d13a130 · outbound

This paper cites Colombo, Non-uniqueness of Leray solutions of the forced Navier- Stokes equations.

A blow up solution of the Navier-Stokes equations with a critical force Colombo, Non-uniqueness of Leray solutions of the forced Navier- Stokes equations

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:59:42.767452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 25223035-2eae-4589-b044-de7691afe6f0 · outbound

This paper cites Nonuniqueness of weak solutions to the Navier-Stokes equa- tion.

A blow up solution of the Navier-Stokes equations with a critical force Nonuniqueness of weak solutions to the Navier-Stokes equa- tion

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:59:42.754220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6d7adb95-d073-49ed-a642-9de061af6394 · outbound

This paper cites A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms.

A blow up solution of the Navier-Stokes equations with a critical force A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:59:42.673005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d986e430-bfdc-4c12-b49d-ad2c94afb3db · outbound

This paper cites Finite time blow-up for the hypodissipative Navier Stokes equations with a force in $L^1_t C_x^{1,\epsilon}\cap L^{\infty}_{t}L_{x}^2$.

A blow up solution of the Navier-Stokes equations with a critical force Finite time blow-up for the hypodissipative Navier Stokes equations with a force in $L^1_t C_x^{1,\epsilon}\cap L^{\infty}_{t}L_{x}^2$

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T15:59:42.572389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05d0c518-ebe0-4bf4-8445-3a16bca43bb7 · outbound

This paper cites Leray, Sur le mouvement d’un liquide visqueux emplissant l’espace.

A blow up solution of the Navier-Stokes equations with a critical force Leray, Sur le mouvement d’un liquide visqueux emplissant l’espace

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:59:42.739534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e4e3679f-088f-4e2d-8407-c7f4dfbc1170 · outbound

This paper cites Zhang, Na Zhao , Finite speed axially symmetric Navier-Stokes ﬂows passing a cone , J.

A blow up solution of the Navier-Stokes equations with a critical force Zhang, Na Zhao , Finite speed axially symmetric Navier-Stokes ﬂows passing a cone , J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:59:42.726362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 26ae3eb4-9a81-4952-8582-2fd2874f8168 · outbound

This paper cites Scheﬀer, A Solution to the Navier-Stokes Inequality with an Internal Singularity , Commun.

A blow up solution of the Navier-Stokes equations with a critical force Scheﬀer, A Solution to the Navier-Stokes Inequality with an Internal Singularity , Commun

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:59:42.713725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a3bd6fa1-e16b-4560-8acc-5534a5ceb4f7 · outbound

This paper cites an unresolved cited work.

A blow up solution of the Navier-Stokes equations with a critical force Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:59:42.699848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e71403d9-0d4c-4421-aedf-066d0ceadcbf · outbound

This paper cites A blow up solution of the Navier-Stokes equations with a super critical forcing term.

A blow up solution of the Navier-Stokes equations with a critical force A blow up solution of the Navier-Stokes equations with a super critical forcing term

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:59:42.638282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a80fc1c1-24c1-4c39-a6d4-796bc9ab38cf · outbound

This paper cites an unresolved cited work.

A blow up solution of the Navier-Stokes equations with a critical force Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:59:42.686603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.