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Paper Citation Record · LEDGER

Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness

As of 17 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 1 inbound Pith citation observation for arXiv:2412.13828.

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

pith.paper-citation-record.v1
2412.13828 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:55:08.474191Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:08:44.059319Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-16T11:08:46.229785Z

Reference resolution

8 of 8 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 93ee1d4c-7eed-4206-9d2c-c95eefacca3f · outbound

This paper cites Global well-posedness for the 2 -D inhomogeneous incompressible Navier-Stokes system with large initial data in critical sp aces.

Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness Global well-posedness for the 2 -D inhomogeneous incompressible Navier-Stokes system with large initial data in critical sp aces

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:55:08.623361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T12:55:08.439573Z digest=sha256:a20ae7a278d32f58951384bd94749a5485aeafa2151cb2c6581c1369e935fb20

Observation 1d70a4ce-88da-4132-8726-690f4d47bc4f · outbound

This paper cites Global unique solv ability of inhomogeneous Navier- Stokes equations with bounded density.

Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness Global unique solv ability of inhomogeneous Navier- Stokes equations with bounded density

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:55:08.564998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T12:55:08.469216Z digest=sha256:9802654beeffa17378a37671616181bc1644749a38a97373a302c5b3ca06fc27

Observation 50d90f7b-53c9-42e5-a6fb-bed31552c9c1 · outbound

This paper cites Global well-posedness of inhomogeneous Navier-Stokes equations with bounded density.

Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness Global well-posedness of inhomogeneous Navier-Stokes equations with bounded density

Reference 6

Resolution
metadata mismatch
local_arxiv, observed 2026-08-11T12:55:08.517690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T12:55:08.463995Z digest=sha256:54ce192b99b3c2b292e13432c5482ff18365910df0c6fe73df9f2276a9383f87

Observation c0becf41-e99f-4ee7-91ab-68e87e8e6ea5 · outbound

This paper cites Nonhomogeneous viscous incompressible fluids: existence of velocity, density, and pressure.

Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness Nonhomogeneous viscous incompressible fluids: existence of velocity, density, and pressure

Reference 157

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:55:08.552439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T12:55:08.474191Z digest=sha256:47527100c1f4cd3d1fbb6a66ff896b099eec6b2a106fb5e5e7774b9c98d4779f

Observation 9ac5a0c7-c5c4-4a35-b995-d612a454c1e5 · outbound

This paper cites Relati ve energy method for weak–strong uniqueness of the inhomogeneous Navier–Stokes equations f ar from vacuum.

Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness Relati ve energy method for weak–strong uniqueness of the inhomogeneous Navier–Stokes equations f ar from vacuum

Reference 225

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:55:08.591811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T12:55:08.454312Z digest=sha256:36509caef015f4310c34241f343edf676dbdcbb3e7594e4b3894f749b6d1e83c

Observation 59d935da-d628-465b-a087-5761053ad45d · outbound

This paper cites Springer, He idelberg, 2011, pp.

Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness Springer, He idelberg, 2011, pp

Reference 343

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:55:08.608054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T12:55:08.449713Z digest=sha256:0ffd3362e8554bd9dfcd879e00f46862852cdc2029a4adbab2d7f53ce3b2fec0

Observation 68e62315-bd61-4c2b-afb0-1edd5d70a989 · outbound

This paper cites Density-dependent indecompressible viscous fluids in critical spaces.

Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness Density-dependent indecompressible viscous fluids in critical spaces

Reference 2008

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:55:08.578957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T12:55:08.459478Z digest=sha256:655460965802f783cc73768e138023e3d862095451bac62fe8584fc41d337734

Observation d70d7c0a-a3f9-43c1-812f-dc901d163303 · outbound

This paper cites Inhomogenous Navier--Stokes equations with unbounded density.

Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness Inhomogenous Navier--Stokes equations with unbounded density

Reference 2024

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:55:08.537689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T12:55:08.445123Z digest=sha256:88a22054fbb9ce2ed014ec5895d5538152230aca32f7be555eb16684d7677c3d

Pith citing papers

Observation 73cf918a-487c-4f9c-9c1c-f9e311da5133 · inbound

Inhomogeneous 2D Navier--Stokes equations: Existence, uniqueness, stability, continuity in time and energy conservation of weak solutions cites this paper.

Inhomogeneous 2D Navier--Stokes equations: Existence, uniqueness, stability, continuity in time and energy conservation of weak solutions Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-16T11:08:46.233653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-16T11:08:44.059319Z digest=sha256:cd41e5be3b7da1fbb4b6f2a8311ee6dbca6f7e817013b4151a8155c5774fc626