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Paper Citation Record · LEDGER

Reaching the equilibrium: Long-term stable approximations for stochastic non-Newtonian Stokes equations with transport noise

As of 12 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 0 inbound Pith citation observations for arXiv:2412.14316.

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

pith.paper-citation-record.v1
2412.14316 v1

Coverage vector

measured 5 of 5 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:26:02.628482Z

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

5 of 5 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6157496b-defa-46e4-bac9-fd5a1f246fe5 · outbound

This paper cites The Gradient Discretization Method for Slow and Fast Diffusion Porous Media Equations.

Reaching the equilibrium: Long-term stable approximations for stochastic non-Newtonian Stokes equations with transport noise The Gradient Discretization Method for Slow and Fast Diffusion Porous Media Equations

Reference 140

Resolution
verified exact
doi, observed 2026-08-11T12:26:02.692703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:26:02.617182Z digest=sha256:a036fab124ca1738db9e3375803be3f7dfeb581bc21a3d770f652365b5e34269

Observation c1bbf021-b210-45dc-b941-9b8ced3b321d · outbound

This paper cites Implicit Euler method for numerical solution of nonlinear stochastic partial differential equations with multiplicative trace class noise.

Reaching the equilibrium: Long-term stable approximations for stochastic non-Newtonian Stokes equations with transport noise Implicit Euler method for numerical solution of nonlinear stochastic partial differential equations with multiplicative trace class noise

Reference 244

Resolution
verified exact
raw_fallback, observed 2026-08-11T12:26:02.821146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:26:02.628482Z digest=sha256:5ffc8f21a4177a4a5207badc0454f3b2d5b71c5e71fc115dea110fd1d3abd051

Observation 7402a3cc-9e99-4e6c-9173-301a1bf6672c · outbound

This paper cites Mean Square Temporal error estimates for the 2D stochastic Navier-Stokes equations with transport noise.

Reaching the equilibrium: Long-term stable approximations for stochastic non-Newtonian Stokes equations with transport noise Mean Square Temporal error estimates for the 2D stochastic Navier-Stokes equations with transport noise

Reference 260

Resolution
unresolved
no resolver link, observed 2026-08-11T12:26:02.603992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:26:02.603992Z digest=sha256:277c0663c19a3bd45fc12172aa39d7b781360e1cc9df12302b21d6a32f735a79

Observation c81e5b69-fca5-486c-8818-e720a82fa5fc · outbound

This paper cites The Numerical Approximation of Stochastic Partial Differential Equations.

Reaching the equilibrium: Long-term stable approximations for stochastic non-Newtonian Stokes equations with transport noise The Numerical Approximation of Stochastic Partial Differential Equations

Reference 1032

Resolution
unresolved
no resolver link, observed 2026-08-11T12:26:02.622877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:26:02.622877Z digest=sha256:5ac9737160339d5c568e167130fbd7927efa0b48646fb8be4d972336f7f27efd

Observation 90507408-5d84-4c80-ac29-bb4fbf531428 · outbound

This paper cites Numerical and convergence analysis of the stochastic Lagrangian averaged Navier–Stokes equations.

Reaching the equilibrium: Long-term stable approximations for stochastic non-Newtonian Stokes equations with transport noise Numerical and convergence analysis of the stochastic Lagrangian averaged Navier–Stokes equations

Reference 2607

Resolution
metadata mismatch
raw_fallback, observed 2026-08-11T12:26:03.052072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:26:02.610752Z digest=sha256:7b05b900513ebcb32a235971591e3fb9e7961e5bdffd0510fee245ec199246f6

Pith citing papers

No inbound Pith citation observations are available.