Paper Citation Record · LEDGER

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$

As of 11 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2607.04918.

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

pith.paper-citation-record.v1
2607.04918 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T11:27:45.402906Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

19 of 19 outbound references displayed

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External citation measurements

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Outbound references

Observation 6e06cca4-0f41-4330-908a-9b23ea926a0f · outbound

This paper cites Bahouri, J.-Y.

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$ Bahouri, J.-Y

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-11T11:27:45.402906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bff1e69b-cfab-4145-bcb2-d86a68146b8f · outbound

This paper cites Bourgain and N.

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$ Bourgain and N

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-11T11:27:45.402906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 360f6831-db96-4064-8236-a0980651e63f · outbound

This paper cites Cannone and F.

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$ Cannone and F

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-11T11:27:45.402906Z

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Observation 8db5a023-7a29-4c9e-aa04-25bae3d3ec8d · outbound

This paper cites Chemin, I.

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$ Chemin, I

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-11T11:27:45.402906Z

Source-reported events for the cited work

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Observation 34af675a-ec2c-46c1-b477-a6890532c419 · outbound

This paper cites Chemin and N.

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$ Chemin and N

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-11T11:27:45.402906Z

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Unavailable: canonical work link unavailable.

Observation aadaf556-820b-42b4-8d80-452a18797629 · outbound

This paper cites Fujii,Global large solutions to the3D stratified Boussinesq equations with horizontal dissipation in the critical spaces, hal-04894010, version 1.

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$ Fujii,Global large solutions to the3D stratified Boussinesq equations with horizontal dissipation in the critical spaces, hal-04894010, version 1

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-11T11:27:45.402906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e697c680-5162-44a4-885d-430aa5d42007 · outbound

This paper cites Fujita and T.

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$ Fujita and T

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-11T11:27:45.402906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc49f3b5-ca7d-4384-8cd2-8c7df4ea17ce · outbound

This paper cites Giga and T.

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$ Giga and T

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-11T11:27:45.402906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 153ec768-329d-435f-a104-3004626c27c4 · outbound

This paper cites Iwabuchi and M.

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$ Iwabuchi and M

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-11T11:27:45.402906Z

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Unavailable: canonical work link unavailable.

Observation 510a4e5a-1f1f-42ef-8f5d-0df6f97637e6 · outbound

This paper cites Kato,StrongL p-solutions of the Navier-Stokes equation inRm, with applications to weak solutions, Math.

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$ Kato,StrongL p-solutions of the Navier-Stokes equation inRm, with applications to weak solutions, Math

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-11T11:27:45.402906Z

Source-reported events for the cited work

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Observation 65dbf86f-8356-49c6-86d2-58071235528f · outbound

This paper cites Koch and D.

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$ Koch and D

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-11T11:27:45.402906Z

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Unavailable: canonical work link unavailable.

Observation a80f4cce-2888-4a3a-b0ce-4fae07ac4812 · outbound

This paper cites Paicu,Équation anisotrope de Navier–Stokes dans des espaces critiques, Rev.

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$ Paicu,Équation anisotrope de Navier–Stokes dans des espaces critiques, Rev

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-11T11:27:45.402906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7918bea2-43e6-4e5e-a1fc-d9771c054f61 · outbound

This paper cites Paicu and P.

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$ Paicu and P

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-11T11:27:45.402906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ac4b7a0-26da-44ef-adf9-6dadea1dddfb · outbound

This paper cites Planchon,Asymptotic behavior of global solutions to the Navier-Stokes equations inR3, Rev.

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$ Planchon,Asymptotic behavior of global solutions to the Navier-Stokes equations inR3, Rev

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-11T11:27:45.402906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb325296-865f-48f6-94d6-cfcf9e837d03 · outbound

This paper cites Sawano,Theory of Besov spaces, Developments in Mathematics, vol.

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$ Sawano,Theory of Besov spaces, Developments in Mathematics, vol

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-11T11:27:45.402906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4309958d-586f-48aa-8e96-8741ceec252e · outbound

This paper cites Wang,Ill-posedness for the Navier-Stokes equations in critical Besov spaces˙B−1 ∞,q, Adv.

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$ Wang,Ill-posedness for the Navier-Stokes equations in critical Besov spaces˙B−1 ∞,q, Adv

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-11T11:27:45.402906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3d02f59-c9f6-4509-9bbb-a84592a2e268 · outbound

This paper cites Yoneda,Ill-posedness of the 3D-Navier-Stokes equations in a generalized Besov space near BMO−1, J.

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$ Yoneda,Ill-posedness of the 3D-Navier-Stokes equations in a generalized Besov space near BMO−1, J

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-11T11:27:45.402906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf64d522-44d3-43f4-9dff-cec1cf8be817 · outbound

This paper cites Zhang,Global wellposed problem for the3-D incompressible anisotropic Navier–Stokes equations in an anisotropic space, Comm.

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$ Zhang,Global wellposed problem for the3-D incompressible anisotropic Navier–Stokes equations in an anisotropic space, Comm

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-11T11:27:45.402906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0497c803-3cba-47b2-a41a-7efb9242288b · outbound

This paper cites an unresolved cited work.

Global solutions to the Navier--Stokes equations with large vertical velocities in $\dot{B}_{\infty,\sigma}^{-1}(\mathbb{R}^3)$ Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-11T11:27:45.402906Z

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Pith citing papers

No inbound Pith citation observations are available.