Paper Citation Record · LEDGER

Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations

As of 8 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 5 inbound Pith citation observations for arXiv:2506.13255.

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

pith.paper-citation-record.v1
2506.13255 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:52:31.368152Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:35:07.695123Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-09T08:56:06.388339Z

Reference resolution

12 of 12 outbound references displayed

verified exact4
verified fuzzy6
unresolved1
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4617ef2c-a6fa-48f2-bfe2-6722442a51cd · outbound

This paper cites On some existence theore ms for semi-linear elliptic equations.

Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations On some existence theore ms for semi-linear elliptic equations

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:52:32.726072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f0ee4874-7e24-4714-8169-3c6bb1086651 · outbound

This paper cites Construction of signed distance functions through an elliptic equation.

Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations Construction of signed distance functions through an elliptic equation

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:52:31.633623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5c43b061-4482-4be1-bfc3-e742694a71c9 · outbound

This paper cites Remarks on the rate of convergence of the vanishing viscosity process of Hamilton-Jacobi equations.

Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations Remarks on the rate of convergence of the vanishing viscosity process of Hamilton-Jacobi equations

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:52:31.745537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4533e4b9-20c2-459f-890e-08baa20b4805 · outbound

This paper cites First order quasilinear equations i n several independent variables.

Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations First order quasilinear equations i n several independent variables

Reference 155

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T00:52:32.279670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ffd5a560-ce77-4126-b2e5-94dc98184876 · outbound

This paper cites On the rate of convergence of ﬁnite-di ﬀerence approximations for Bell- mans equations with variable coeﬃcients.

Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations On the rate of convergence of ﬁnite-di ﬀerence approximations for Bell- mans equations with variable coeﬃcients

Reference 217

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:52:32.131143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6a793b7d-f959-4be7-9afe-12a4ee73ddf4 · outbound

This paper cites The convergence rate of vanishing viscosity approximations for mean field games.

Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations The convergence rate of vanishing viscosity approximations for mean field games

Reference 526

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:52:31.517673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fdbb65af-e874-4ab1-ac65-398e62f82062 · outbound

This paper cites Error bounds for monotone ap proximation schemes for parabolic Hamilton-Jacobi-Bellman equations.

Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations Error bounds for monotone ap proximation schemes for parabolic Hamilton-Jacobi-Bellman equations

Reference 1997

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:52:32.609171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ca323409-c957-42ec-82ed-f10ddeb1a40d · outbound

This paper cites Sharp convergence rates for mean field control in the region of strong regularity.

Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations Sharp convergence rates for mean field control in the region of strong regularity

Reference 2004

Resolution: unresolved; no resolver link, observed 2026-08-07T00:52:30.776516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b812274e-e582-4fdd-89d9-5a3bf518c6c6 · outbound

This paper cites The Cauchy problem for degenerate p arabolic equations.

Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations The Cauchy problem for degenerate p arabolic equations

Reference 2006

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:52:32.385520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7743f6e8-3c74-4b4e-931c-9bf8e6b35369 · outbound

This paper cites Fractal ﬁrst-order partia l diﬀerential equations.

Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations Fractal ﬁrst-order partia l diﬀerential equations

Reference 2009

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:52:32.514994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 59efc758-a795-4c01-aeb0-695c178b6fcc · outbound

This paper cites Adjoint methods for static Hamilton–Ja cobi equations.

Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations Adjoint methods for static Hamilton–Ja cobi equations

Reference 2021

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:52:31.982633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 606aeda1-6a18-40a0-bc0a-63178526cfc4 · outbound

This paper cites Quantitative and qualitative properties for Hamilton-Jacobi PDEs via the nonlinear adjoint method.

Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations Quantitative and qualitative properties for Hamilton-Jacobi PDEs via the nonlinear adjoint method

Reference 2022

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:52:31.861770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

Observation 9b609495-312b-436c-b003-dc46ee58fa9e · inbound

Beyond separability: convergence rate of vanishing viscosity approximations to mean field games via FBSDE stability cites this paper.

Beyond separability: convergence rate of vanishing viscosity approximations to mean field games via FBSDE stability Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T14:35:07.695123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f065fc7-c20a-4726-a86f-b43e6631ad53 · inbound

Sharp global and almost everywhere convergence rates for periodic homogenization of viscous quadratic Hamilton-Jacobi equations cites this paper.

Sharp global and almost everywhere convergence rates for periodic homogenization of viscous quadratic Hamilton-Jacobi equations Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-11T13:36:03.283312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4ad52905-6f1d-4404-802b-45cff43e1777 · inbound

Convergence Rates for Vanishing Viscosity Approximations of Possibly Degenerate Viscous Hamilton--Jacobi Equations cites this paper.

Convergence Rates for Vanishing Viscosity Approximations of Possibly Degenerate Viscous Hamilton--Jacobi Equations Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-07-08T00:34:22.682596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9aa48506-cf6e-46cb-ae4c-04f471215640 · inbound

Convergence Rates for Vanishing Viscosity Approximations of Possibly Degenerate Viscous Hamilton--Jacobi Equations cites this paper.

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-11T07:48:25.422243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86103167-ddb4-4131-a481-d3849df952dd · inbound

On the rate of the vanishing viscosity approximation for Mean Field Games with nonlocal coupling cites this paper.

On the rate of the vanishing viscosity approximation for Mean Field Games with nonlocal coupling Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-07-09T08:56:06.389888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.