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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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:59:42.559579Z digest=sha256:97ee14b9d77ab031bcd7085b1fb33bda60b407ece6bb72292b284360b2dc1aeb

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:59:42.564357Z digest=sha256:e677b36dec009e66a06a1eb53799da128b526e30078928874a14f125f4b68c34

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:59:42.568184Z digest=sha256:37160350926b237f476e640d5988be5557c4922b67463b3338563a68bd3b8e06

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.

source=pdf_text observed=2026-08-12T15:59:42.572389Z digest=sha256:b8100aa8745e46aaa24b97d05aeda820641c9f465b38ea6ce3ba52ec823584fc

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:59:42.577069Z digest=sha256:090fcd1f5490231a5d4547a370bcf8b898872dcd9fb1abe4af3d9d2fbfa0152f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:59:42.582408Z digest=sha256:0d69e646771a52003e08b7d32bcddcecf3d6ea57fb93b445782fd6108d3f2284

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:59:42.587199Z digest=sha256:f0f9b211a1a083cd086557f9b99f172982f228416397fd617fef45ff725bd62e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:59:42.591942Z digest=sha256:7239414d60314d5b705401c6016521a8d8449ca342e095015d258389934c4966

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:59:42.596062Z digest=sha256:d00c2b6954c50f1cb8ea330beab41903059cf52b82a034f779d6b30ceabd23c1

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:59:42.600372Z digest=sha256:df9a0350c4a147902ef637d60324245bff0d993deca5715d6ca0b3e666b44406

Pith citing papers

No inbound Pith citation observations are available.