Paper Citation Record · LEDGER

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio

As of 13 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2509.07638.

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

pith.paper-citation-record.v1
2509.07638 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T22:01:24.361786Z

measured 32 of 32 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

32 of 32 outbound references displayed

verified exact0
verified fuzzy26
unresolved6
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7bf917dc-fb03-443f-8a96-dbc90ad93427 · outbound

This paper cites espaços críticos de dados iniciais.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio espaços críticos de dados iniciais

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.638457Z

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 a1203211-538b-43f3-a457-761ddd4151c2 · outbound

This paper cites an unresolved cited work.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-04T22:01:24.630909Z

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 14fd676a-ec48-436a-9bce-c87a9802c958 · outbound

This paper cites Caffarelli and Alexis Vasseur.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Caffarelli and Alexis Vasseur

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.622426Z

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 fb47afe3-010c-4301-898a-5d49c58c5dbc · outbound

This paper cites Sur la pression ou la tension des corps solides.Exercices de mathématiques, 2:42—-57, 1827.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Sur la pression ou la tension des corps solides.Exercices de mathématiques, 2:42—-57, 1827

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.614892Z

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 8a03e113-e96e-43dd-817d-07b3c6ad942f · outbound

This paper cites Sur l’équilibre ou le mouvement d’un système de points ma- tériels sollicités par des forces d’attraction ou de répulsion naturelle.Exercices de mathématiques, 4:129––139, 1829.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Sur l’équilibre ou le mouvement d’un système de points ma- tériels sollicités par des forces d’attraction ou de répulsion naturelle.Exercices de mathématiques, 4:129––139, 1829

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.606683Z

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 a67cfc75-0016-464a-a204-adabec35cee9 · outbound

This paper cites Persistance de structures géométriques dans les fluides in- compressibles bidimensionnels.Ann.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Persistance de structures géométriques dans les fluides in- compressibles bidimensionnels.Ann

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.599026Z

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 e753e6aa-90c9-4d12-a716-2b2b4bae5a2f · outbound

This paper cites an unresolved cited work.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-04T22:01:24.590953Z

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 16614e25-9cce-49ec-887c-13b688480b6c · outbound

This paper cites an unresolved cited work.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-04T22:01:24.583276Z

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 b290a9b6-f50f-4b10-8303-28f53a49617c · outbound

This paper cites Constantin, P.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Constantin, P

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.575990Z

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 73a23768-60b8-403b-9a6d-9e0883d53c5a · outbound

This paper cites an unresolved cited work.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-04T22:01:24.568081Z

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 11bbe168-5c8e-40fc-98a6-3b7af5e4741e · outbound

This paper cites Réflexions sur la cause générale des vents.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Réflexions sur la cause générale des vents

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.560545Z

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 3e343264-1fdf-40b6-9ed3-fa351d2d2daf · outbound

This paper cites Mémoire sur la dynamique des fluides.séance du 14 Avril 1834, Académie des Sciences.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Mémoire sur la dynamique des fluides.séance du 14 Avril 1834, Académie des Sciences

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.552383Z

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 d49a22aa-8c6e-479a-8f1c-e9aae4a2c49b · outbound

This paper cites Note à joindre au mémoire sur la dynamique des fluides, présenté le 14 avril 1834.C.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Note à joindre au mémoire sur la dynamique des fluides, présenté le 14 avril 1834.C

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.544776Z

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 afe3c773-3975-4c2e-b2c9-dd118a2b73af · outbound

This paper cites Mémoire sur des formules nouvelles pour la solution des problèmes relatifs aux eaux courantes.C.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Mémoire sur des formules nouvelles pour la solution des problèmes relatifs aux eaux courantes.C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.537212Z

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 b521420b-68be-44e0-8b6b-0ab9b62e428c · outbound

This paper cites Principes généraux du mouvement des fluides.Mémoires de l’Académie Royale des Sciences et des Belles Lettres de Berlin, 11:274—-315, 1755 [printed in 1757].

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Principes généraux du mouvement des fluides.Mémoires de l’Académie Royale des Sciences et des Belles Lettres de Berlin, 11:274—-315, 1755 [printed in 1757]

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.529540Z

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 7a456680-f0a2-4a04-b85d-7734ab369f2e · outbound

This paper cites Euler equations: 250 Years on (EE250)].Phys.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Euler equations: 250 Years on (EE250)].Phys

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.520972Z

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 f6d84741-dc3b-4841-8bf0-0ae309ff3a30 · outbound

This paper cites On the Navier-Stokes initial value problem.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio On the Navier-Stokes initial value problem

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.512779Z

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 7c0341ed-a92b-4834-8614-a8f71a9cc1d3 · outbound

This paper cites über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen.Math.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen.Math

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.505144Z

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 263a0821-2c04-46af-b229-a54d029bf3c4 · outbound

This paper cites an unresolved cited work.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-04T22:01:24.496743Z

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 f56dde84-9fbe-4954-ae96-46bfa215b163 · outbound

This paper cites an unresolved cited work.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-04T22:01:24.488754Z

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 66caab2b-def8-40b7-b50d-af866e077623 · outbound

This paper cites Nonstationary flows of viscous and ideal fluids inR3.J.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Nonstationary flows of viscous and ideal fluids inR3.J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.481165Z

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 5dc3bf70-00eb-4911-9e94-554d61a274b3 · outbound

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

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio StrongL p-solutions of the Navier-Stokes equation inR m, with applications to weak solutions.Math

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.473533Z

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 cf0207bf-ef8f-4dca-b8c5-f886f97c313b · outbound

This paper cites Kiselev, F.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Kiselev, F

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.465709Z

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 71210728-5c4c-4c23-b55c-b44b6b88ed7b · outbound

This paper cites Well-posedness for the Navier-Stokes equa- tions.Adv.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Well-posedness for the Navier-Stokes equa- tions.Adv

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.457226Z

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 e76fbfc8-f1d3-46f0-a6f6-dcb9c616a925 · outbound

This paper cites CRC Press, Boca Raton, FL, 2016.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio CRC Press, Boca Raton, FL, 2016

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.448683Z

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 45014cbf-5aa7-475d-ba50-79d2bbdd8741 · outbound

This paper cites Sur le mouvement d’un liquide visqueux emplissant l’espace.Acta Math., 63(1):193–248, 1934.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Sur le mouvement d’un liquide visqueux emplissant l’espace.Acta Math., 63(1):193–248, 1934

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.441176Z

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 a9a90c11-c55f-4aeb-bee7-653bb8c3b82c · outbound

This paper cites Mémoire sur les lois du mouvement des fluides.Mémoires de l’Acad.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Mémoire sur les lois du mouvement des fluides.Mémoires de l’Acad

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.432748Z

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 63751c48-5a86-4482-83c8-5250abb10167 · outbound

This paper cites Mémoire sur l’équilibre et le mouvement des corps élas- tiques.Mémoires de l’Acad.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Mémoire sur l’équilibre et le mouvement des corps élas- tiques.Mémoires de l’Acad

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.424139Z

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 b141e30a-b4ae-44e3-84cc-25329cfbe7fd · outbound

This paper cites Explicit solutions of the viscous model vorticity equation.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Explicit solutions of the viscous model vorticity equation

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.414999Z

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 3a8c6e6f-b518-4218-bc21-41f4d653eefe · outbound

This paper cites The initial value problem for the Navier-Stokes equations.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio The initial value problem for the Navier-Stokes equations

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.405383Z

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 ad10cdac-0225-475f-bc50-7711bcef9e2e · outbound

This paper cites On the steady motion of incompressible fluids.Trans.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio On the steady motion of incompressible fluids.Trans

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.396949Z

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 f289c7ba-a2f4-4506-8013-5e097e064577 · outbound

This paper cites Cambridge Phl.

Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio Cambridge Phl

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:01:24.387574Z

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.