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Paper Citation Record · LEDGER

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

As of 9 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T00:52:30.611007Z digest=sha256:de6ee3967f245842260d57c86f4e71a659bce6502e851c0d5ec25c3c7bb928f0

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

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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 2026-08-09T06:31:02.800959+00:00.

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T00:52:31.039885Z digest=sha256:207707590f45935d6e677a5c6d04113bdf6622b18ceb51b32a4b2f123817ca44

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

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T00:52:31.165359Z digest=sha256:1b941eca74f1d23d0251cc2f9c2c2188d8b8aec63e532db6310473b61100642a

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T00:52:31.240265Z digest=sha256:0fdfbce525748464c93f28fce5330cb4426627f1f94711491b3376c3b4b4612b

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T00:52:31.299102Z digest=sha256:06fab03e1ab0a105a64499e1b9d7aa30941ef3db14d8265606c4fddd7e168af4

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T00:52:30.681494Z digest=sha256:220f2d58c04f84285093b30c57518466400ab002120b43f4d31088bbe09fe76b

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:52:30.776516Z digest=sha256:d4bd94d4c9ceb4628fdc07b86ef8712b0eab7b0a8753c8d5009cfd6ab7d7b1ee

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T00:52:30.940173Z digest=sha256:762220ecce2300e1f7b7181311f6a416b2ee7041ce9df47730d391c2dfe0a6c4

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T00:52:30.888666Z digest=sha256:0d3d6fc01d8100517619e56dec5bcbfb84a26dfd916d31a1974d68b48bb1acd3

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T00:52:31.368152Z digest=sha256:2f07ca3514a6a4b6dd355c0762d35322cd1efa6b89a2045391ae16a392ad929e

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T00:52:30.741003Z digest=sha256:de5eb3073978b1a9f944924164df283f7dca4a57afa07355f9ba65d32a6b9588

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.

source=pdf_text observed=2026-08-07T14:35:07.695123Z digest=sha256:297a5ade144f3619d1d6df7c1bc8db3a6667f80d65b96ab7b71536cd221923f4

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T01:30:48.967425Z digest=sha256:d19d53f7b2cac1effb13b846eb2d92ec6d9b7c91c93973b6c48bdefe1b616dd4

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-08T00:29:47.327987Z digest=sha256:3173b1f90273fde802ca22074d6c9ef0cd2eff836ad4f4457587c98d9b0c7b3f

Observation 9aa48506-cf6e-46cb-ae4c-04f471215640 · 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
unresolved
no resolver link, observed 2026-07-11T07:48:25.422243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T07:48:25.422243Z digest=sha256:30cbb153b769b89a9cfd614274d13930ff616e065d97ed7d96700f42f2dd794e

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-09T08:52:10.560683Z digest=sha256:f05640ae669272b0e82f434884204658685e3e06d2a28fc0fb10fbccb5babca9