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Paper Citation Record · LEDGER

Mathematical Analysis of Regularity, Bifurcations, and Turbulence in Fluid Dynamics via Sobolev, Besov, and Triebel-Lizorkin Spaces

As of 13 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2411.13838.

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

pith.paper-citation-record.v1
2411.13838 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:55:16.675062Z

measured 8 of 8 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

8 of 8 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d131214a-25c2-44fc-aed2-d7c6f7bf8a81 · outbound

This paper cites M´ emoire sur les lois du mouvement des fluides.

Mathematical Analysis of Regularity, Bifurcations, and Turbulence in Fluid Dynamics via Sobolev, Besov, and Triebel-Lizorkin Spaces M´ emoire sur les lois du mouvement des fluides

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:55:16.825158Z

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.

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Observation 755ec2ce-2d54-4074-9a5d-39ad39f5ddd6 · outbound

This paper cites On the theories of the internal friction of fluids in motion, and of the equilibrium and motion of elastic solids.

Mathematical Analysis of Regularity, Bifurcations, and Turbulence in Fluid Dynamics via Sobolev, Besov, and Triebel-Lizorkin Spaces On the theories of the internal friction of fluids in motion, and of the equilibrium and motion of elastic solids

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:55:16.809770Z

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.

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Observation a528e231-2de7-4a92-b094-65c10a25998d · outbound

This paper cites Sur le mouvement d’un liquide visqueux emplissant l’espace.

Mathematical Analysis of Regularity, Bifurcations, and Turbulence in Fluid Dynamics via Sobolev, Besov, and Triebel-Lizorkin Spaces Sur le mouvement d’un liquide visqueux emplissant l’espace

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:55:16.791169Z

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.

source=pdf_text observed=2026-08-12T15:55:16.648799Z digest=sha256:007b6caad1598d96920e9f1825d6511d697f2abebb6d88ca1b958e1802ae1fbe

Observation 9f21d265-f4b0-478d-97d4-629607b0111d · outbound

This paper cites an unresolved cited work.

Mathematical Analysis of Regularity, Bifurcations, and Turbulence in Fluid Dynamics via Sobolev, Besov, and Triebel-Lizorkin Spaces Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:55:16.776023Z

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.

source=pdf_text observed=2026-08-12T15:55:16.653644Z digest=sha256:9534cb3be357ca7ca22ec79799ce63bd7c84414ac7eaf0c458e1ba3ffdb7bac0

Observation d10ad010-2470-4157-9f7f-91cacab2c6f8 · outbound

This paper cites Kalyabin.

Mathematical Analysis of Regularity, Bifurcations, and Turbulence in Fluid Dynamics via Sobolev, Besov, and Triebel-Lizorkin Spaces Kalyabin

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:55:16.760829Z

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.

source=pdf_text observed=2026-08-12T15:55:16.659270Z digest=sha256:ce2ffa50033055dfb407f8bd68b0ca42e3157b99fa256f850f32b5213a1d2b18

Observation 292a01e6-0b3b-4577-9067-24d0235da3e7 · outbound

This paper cites Interpolation theory, function spaces, differential opera tors.

Mathematical Analysis of Regularity, Bifurcations, and Turbulence in Fluid Dynamics via Sobolev, Besov, and Triebel-Lizorkin Spaces Interpolation theory, function spaces, differential opera tors

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:55:16.745324Z

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.

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Observation d92c885f-b816-4954-8cf5-7ce1304bdaba · outbound

This paper cites Partial regularity of suit- able weak solutions of the Navier-Stokes equations.

Mathematical Analysis of Regularity, Bifurcations, and Turbulence in Fluid Dynamics via Sobolev, Besov, and Triebel-Lizorkin Spaces Partial regularity of suit- able weak solutions of the Navier-Stokes equations

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:55:16.729000Z

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.

source=pdf_text observed=2026-08-12T15:55:16.669193Z digest=sha256:de1b41e3eb3fc6270169019aca430452a3295ca233fb0c70be5eec9c94337bf0

Observation 592dc550-7249-40b6-9357-db9d9d3687c0 · outbound

This paper cites Global regularity of wave maps III. Large energy from $\R^{1+2}$ to hyperbolic spaces.

Mathematical Analysis of Regularity, Bifurcations, and Turbulence in Fluid Dynamics via Sobolev, Besov, and Triebel-Lizorkin Spaces Global regularity of wave maps III. Large energy from $\R^{1+2}$ to hyperbolic spaces

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-12T15:55:16.675062Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Pith citing papers

No inbound Pith citation observations are available.