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Paper Citation Record · LEDGER

On Leray's Theoreme de Structure for a weak solution to the Navier-Stokes equations: an improvement of the result

As of 11 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2607.21380.

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

pith.paper-citation-record.v1
2607.21380 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T07:47:30.944413Z

measured 10 of 10 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

10 of 10 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 85b5539b-a8d1-4dc2-b205-d2d06dd10ff1 · outbound

This paper cites Arioli, A.

On Leray's Theoreme de Structure for a weak solution to the Navier-Stokes equations: an improvement of the result Arioli, A

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T07:47:30.267429Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:47:30.267429Z digest=sha256:488f2d22c8377813d0fe70538a872b53beed31b5330e3a821c3ad7877f715feb

Observation 79a6d06e-08e8-4245-b504-809352c30960 · outbound

This paper cites Crispo, C.R.

On Leray's Theoreme de Structure for a weak solution to the Navier-Stokes equations: an improvement of the result Crispo, C.R

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T07:47:30.358626Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:47:30.358626Z digest=sha256:68265493f2144d54a308f123920257407feb3f427e78c3fe4ea6e8e232d661a6

Observation 5f64f594-ffdc-4443-9a23-e3d6a24b2540 · outbound

This paper cites Heywood,The Navier-Stokes equations: on the existence, regularity and decay of solu- tions, Indiana Univ.

On Leray's Theoreme de Structure for a weak solution to the Navier-Stokes equations: an improvement of the result Heywood,The Navier-Stokes equations: on the existence, regularity and decay of solu- tions, Indiana Univ

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T07:47:30.449685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:47:30.449685Z digest=sha256:69aa5fdf29e6610b378dc8972f274a7a7cf2e309045a4281f630f8d03c1bd587

Observation 053d777a-d418-459b-90fb-6b6f5d5f28a0 · outbound

This paper cites Ladyzhenskaya,The mathematical theory of viscous incompressible flow,Gordon and Breach Sc.

On Leray's Theoreme de Structure for a weak solution to the Navier-Stokes equations: an improvement of the result Ladyzhenskaya,The mathematical theory of viscous incompressible flow,Gordon and Breach Sc

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T07:47:30.598795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:47:30.598795Z digest=sha256:e2278a7397c5bc4a31ccac7acecfe19b36c2df188a92203c4d045aa029202d82

Observation d2f5b6ae-397d-46a0-ac58-5094e180f725 · outbound

This paper cites Leray,Sur le mouvement d’un liquide visqueux emplissant l’espace, Acta Math.63(1934), no.

On Leray's Theoreme de Structure for a weak solution to the Navier-Stokes equations: an improvement of the result Leray,Sur le mouvement d’un liquide visqueux emplissant l’espace, Acta Math.63(1934), no

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T07:47:30.697767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:47:30.697767Z digest=sha256:58ed3b9de5c784dc5480be15ee6167f0a737d93535de2043f001090bf409b046

Observation 38c1fa0c-d80e-4cef-9975-ba70cc88a24a · outbound

This paper cites Maremonti and F.

On Leray's Theoreme de Structure for a weak solution to the Navier-Stokes equations: an improvement of the result Maremonti and F

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T07:47:30.789279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:47:30.789279Z digest=sha256:029c18d6f0e19bc81c7d1a1be2ae0977a076e3b85307fc29abc7686edd7e533a

Observation ea191d4c-ff5d-4367-9c90-225bfa711343 · outbound

This paper cites Maremonti and F.

On Leray's Theoreme de Structure for a weak solution to the Navier-Stokes equations: an improvement of the result Maremonti and F

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T07:47:30.856302Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:47:30.856302Z digest=sha256:48f9a19982c0fa57c2bbb7b120ea27e4065083cf67af314e60ea14cbe16fd6d4

Observation 45025670-6687-4567-ad23-134c7a65c8a6 · outbound

This paper cites Prodi,Teoremi di tipo locale per il sistema di Navier-Stokes e stabilit` a delle soluzioni stazionarie(Italian) Rend.

On Leray's Theoreme de Structure for a weak solution to the Navier-Stokes equations: an improvement of the result Prodi,Teoremi di tipo locale per il sistema di Navier-Stokes e stabilit` a delle soluzioni stazionarie(Italian) Rend

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T07:47:30.889270Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:47:30.889270Z digest=sha256:78532486cd9ec58360b3a80a27752e2e97906243b0778736661f8cebdc5b4d49

Observation eadf8ed1-cb36-4063-a384-6aad98ab568d · outbound

This paper cites an unresolved cited work.

On Leray's Theoreme de Structure for a weak solution to the Navier-Stokes equations: an improvement of the result Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T07:47:30.909770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:47:30.909770Z digest=sha256:895323bd762dec9f1c89e47e6915f91f137021a12cfcb45457113d7dd64a6dd8

Observation 6b1cf8a2-5774-4430-bec1-275afe244617 · outbound

This paper cites Scheffer,Turbulence and Hausdorff dimension.

On Leray's Theoreme de Structure for a weak solution to the Navier-Stokes equations: an improvement of the result Scheffer,Turbulence and Hausdorff dimension

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T07:47:30.944413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:47:30.944413Z digest=sha256:260deb8066a5771ddc4adee1eee9816d6b8a2b532cad9bf1123b1f55b133b20c

Pith citing papers

No inbound Pith citation observations are available.