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Paper Citation Record · LEDGER

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

As of 22 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 3 inbound Pith citation observations for arXiv:2411.10823.

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

pith.paper-citation-record.v1
2411.10823 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T19:27:33.550082Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:59:42.568184Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T15:59:42.667131Z

Reference resolution

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy18
  • unresolved8
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a83cd880-f04b-46bd-abdb-6deb223a9952 · outbound

This paper cites an unresolved cited work.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms Unresolved cited work

Reference 1

Resolution
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation c5f4a82e-00b5-48c1-ae8e-45f48bf1d1f6 · outbound

This paper cites an unresolved cited work.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms Unresolved cited work

Reference 2

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 0f5d9d22-13ba-4f5a-b19f-3e72e5aa8724 · outbound

This paper cites an unresolved cited work.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms Unresolved cited work

Reference 3

Resolution
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Observation b8134cff-aedd-438a-9003-24ebebe48993 · outbound

This paper cites Chinese Ann.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms Chinese Ann

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation b8277b48-9d91-42db-9907-dbd9d7125aca · outbound

This paper cites and Yang, J.: On mixed pressure-velocity reg ularity criteria to the Navier-Stokes equations in Lorentz spaces, Chin.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms and Yang, J.: On mixed pressure-velocity reg ularity criteria to the Navier-Stokes equations in Lorentz spaces, Chin

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

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Observation 2e81de46-dc8b-4c24-94f0-e39317a7c4d2 · outbound

This paper cites and Vicol, V.: Nonuniqueness of weak solutions to t he Navier-Stokes equation.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms and Vicol, V.: Nonuniqueness of weak solutions to t he Navier-Stokes equation

Reference 6

Resolution
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Observation afa1f816-b09e-46b7-befa-8e4f7b9ec2ac · outbound

This paper cites M., Tsai, T.P., and Yau, H.T.: Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations, Int.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms M., Tsai, T.P., and Yau, H.T.: Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations, Int

Reference 7

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 91ce0ebf-5dbb-4bec-8a69-f538df328c3b · outbound

This paper cites M., Tsai, T.P., and Yau, H.T.: Lower bound on th b low-up rate of the axisymmetric Navier-Stokes equations II, Comm.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms M., Tsai, T.P., and Yau, H.T.: Lower bound on th b low-up rate of the axisymmetric Navier-Stokes equations II, Comm

Reference 8

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Source-reported events for the cited work

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Observation 6692fd81-4ef9-46fa-b463-9c05e072b78c · outbound

This paper cites and Zhang, T.: Regularity of 3D axisymmetric Na vier-Stokes equations, Discrete Contin.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms and Zhang, T.: Regularity of 3D axisymmetric Na vier-Stokes equations, Discrete Contin

Reference 9

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation d5d22748-dece-4e1d-a08f-0f81668a4a38 · outbound

This paper cites Surveys, 58 no.2 (350), 3–44.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms Surveys, 58 no.2 (350), 3–44

Reference 10

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 63a18cc7-d87a-4683-ad9d-68125a794d6c · outbound

This paper cites an unresolved cited work.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms Unresolved cited work

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 48523b36-092d-47ea-bb7b-d5e0e5dc4fca · outbound

This paper cites and Maremonti, P.: Sulla regolarit` a delle soluzioni deboli al sistema di Navier-Stokes in domini arbitrari Ann.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms and Maremonti, P.: Sulla regolarit` a delle soluzioni deboli al sistema di Navier-Stokes in domini arbitrari Ann

Reference 12

Resolution
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Observation a633aed0-82b0-4410-b733-1e08e9b6e13a · outbound

This paper cites an unresolved cited work.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms Unresolved cited work

Reference 13

Resolution
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 0a4e9206-0000-422f-a086-12da0eb0f99d · outbound

This paper cites an unresolved cited work.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms Unresolved cited work

Reference 14

Resolution
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 48e0637b-989e-4f08-88f9-37bdc4d587cb · outbound

This paper cites Acta Math.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms Acta Math

Reference 15

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 7650d903-1481-469e-8f8e-b8180ea9d014 · outbound

This paper cites A.: Unique global solvability of the three-dim ensional Cauchy problem for the Navier-Stokes equations in the presence of axial s ymmetry.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms A.: Unique global solvability of the three-dim ensional Cauchy problem for the Navier-Stokes equations in the presence of axial s ymmetry

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 6d9eb842-ccb8-417e-b269-3d5972f0ea94 · outbound

This paper cites A.: Example of nonuniqueness in the Hopf cla ss of weak solutions for the Navier-Stokes equations.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms A.: Example of nonuniqueness in the Hopf cla ss of weak solutions for the Navier-Stokes equations

Reference 17

Resolution
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Observation d79daf99-1c75-4920-a0d6-d182773ab6ed · outbound

This paper cites Ladysenskaya, The Mathematical Theory of Viscous Incompressible Flow, Gor- don and Breach, New-York, 1969.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms Ladysenskaya, The Mathematical Theory of Viscous Incompressible Flow, Gor- don and Breach, New-York, 1969

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 21466e48-62fc-4ffa-9657-f67b239f39db · outbound

This paper cites and Zhang, Q.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms and Zhang, Q

Reference 19

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 25a23faf-1e90-455b-986e-f714a37faec6 · outbound

This paper cites Acta Math., 63(1):193– 248, 1934.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms Acta Math., 63(1):193– 248, 1934

Reference 20

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 6500040b-3b0f-4f24-937f-fde8e8c260e6 · outbound

This paper cites S., Zhao, N.: Finite spe ed axially symmetric Navier-Stokes flows passing a cone.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms S., Zhao, N.: Finite spe ed axially symmetric Navier-Stokes flows passing a cone

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 9000001b-5265-4301-8ddf-cfa0d6ae2c4a · outbound

This paper cites andˇSver´ ak, V.: On Leray’s self-similar solutions of the Navier- Stokes equations.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms andˇSver´ ak, V.: On Leray’s self-similar solutions of the Navier- Stokes equations

Reference 22

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 3ec88055-346c-42b3-a576-ef31d0848252 · outbound

This paper cites Differential Equations 260 (2016 ), no.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms Differential Equations 260 (2016 ), no

Reference 23

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 2b96aa24-19d2-49fc-afae-e77e3145afa2 · outbound

This paper cites and Yudovich, V.Y.: Axially-symmetric flows of ideal and viscous fluids filling the whole space.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms and Yudovich, V.Y.: Axially-symmetric flows of ideal and viscous fluids filling the whole space

Reference 24

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation e822d14f-4cd9-40a9-b1d5-38e043db8304 · outbound

This paper cites an unresolved cited work.

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms Unresolved cited work

Reference 25

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unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 4db917c6-cc87-4cdf-951a-73035e4f86cd · outbound

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

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 super critical forcing term

Reference 26

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Pith citing papers

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

A blow up solution of the Navier-Stokes equations with a critical force cites this paper.

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation fa33e645-21be-42d4-82dd-5d786df152cc · inbound

Blow-up and uniqueness of Leray-Hopf solutions to forced Navier-Stokes equations cites this paper.

Blow-up and uniqueness of Leray-Hopf solutions to forced Navier-Stokes equations A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms

Reference 6

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 2c5199ff-3d20-4711-9d8a-b0dd75840e0b · inbound

Blow-up and uniqueness of Leray-Hopf solutions to forced Navier-Stokes equations cites this paper.

Blow-up and uniqueness of Leray-Hopf solutions to forced Navier-Stokes equations A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T11:34:45.437769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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