Paper Citation Record · LEDGER

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation

As of 13 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2608.08186.

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

pith.paper-citation-record.v1
2608.08186 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:30:59.283232Z

measured 24 of 24 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

24 of 24 outbound references displayed

verified exact0
verified fuzzy21
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 56114c10-34c1-4e30-8b5f-b6b63f212d6a · outbound

This paper cites Gradient estimates for the Lagrangian mean curvature equation with critical and supercritical phase.Amer.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Gradient estimates for the Lagrangian mean curvature equation with critical and supercritical phase.Amer

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.737525Z

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.

Observation 00f2d39d-82b4-47fa-b672-d3873f7c6d83 · outbound

This paper cites Caffarelli, Louis Nirenberg, and Joel Spruck.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Caffarelli, Louis Nirenberg, and Joel Spruck

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.719776Z

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.

Observation a5f388fa-b427-4dfb-af1f-91a5d22577aa · outbound

This paper cites Caffarelli and Yu Yuan.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Caffarelli and Yu Yuan

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.698631Z

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.

Observation 862bf9d7-8674-43ea-996c-72757baf487b · outbound

This paper cites Collins, S´ ebastien Picard, and Xuan Wu.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Collins, S´ ebastien Picard, and Xuan Wu

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.676231Z

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.

Observation fa3395b2-f311-433d-aefa-eccc2b452769 · outbound

This paper cites Convexity of level sets for elliptic problems in convex domains or convex rings: two counterexamples.Amer.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Convexity of level sets for elliptic problems in convex domains or convex rings: two counterexamples.Amer

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.658391Z

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.

Observation 2c4d516e-087a-490c-8cc6-6aa4f524aec7 · outbound

This paper cites Reese Harvey and H.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Reese Harvey and H

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.640484Z

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.

Observation e5db64e5-9176-4db6-9248-fd95efcc38e6 · outbound

This paper cites Blaine Lawson, Jr.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Blaine Lawson, Jr

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.622921Z

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.

Observation 8ebc52d6-515a-444f-b270-4710a4a93b68 · outbound

This paper cites Springer-Verlag, Berlin, 1985.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Springer-Verlag, Berlin, 1985

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.605528Z

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.

Observation 85ffaf69-de78-496f-b0f4-d901f8e5cdb0 · outbound

This paper cites Korevaar.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Korevaar

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T00:30:59.209322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d693ae68-daff-457e-b302-40faadca08cc · outbound

This paper cites A Brunn--Minkowski inequality for the Hessian eigenvalue in convex domain.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation A Brunn--Minkowski inequality for the Hessian eigenvalue in convex domain

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T00:30:59.214145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c7e69a2-430c-476f-985c-8cd56596ae76 · outbound

This paper cites On the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation On the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.574909Z

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.

Observation 026226cc-c07b-48e0-9648-2ecf0a11fc96 · outbound

This paper cites The convexity of solution of a class Hessian equation in bounded convex domain in R3.J.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation The convexity of solution of a class Hessian equation in bounded convex domain in R3.J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.556327Z

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.

Observation f73ebaeb-2c71-4094-994e-b001b11dcb3e · outbound

This paper cites Non-convexity of level sets in convex rings for semilinear elliptic problems.Indiana Univ.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Non-convexity of level sets in convex rings for semilinear elliptic problems.Indiana Univ

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.537863Z

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.

Observation 071613b8-ff2c-412c-8635-ff75e74b4eaf · outbound

This paper cites Non- C 1 solutions to the special Lagrangian equation.Duke Math.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Non- C 1 solutions to the special Lagrangian equation.Duke Math

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.516317Z

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.

Observation 03a044b0-c461-4f4c-978a-85f0f134503d · outbound

This paper cites Singular solution to special Lagrangian equations.Ann.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Singular solution to special Lagrangian equations.Ann

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.499007Z

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.

Observation 41aabe35-a565-4546-800d-1b73852d2851 · outbound

This paper cites Convexity of solutions and Brunn–Minkowski inequalities for Hessian equations inR 3.Adv.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Convexity of solutions and Brunn–Minkowski inequalities for Hessian equations inR 3.Adv

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.480126Z

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.

Observation cd7977dc-7338-4a0d-96fb-1e4ae0b8aba5 · outbound

This paper cites Singular solutions to special Lagrangian equations with subcritical phases and minimal surface systems.Amer.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Singular solutions to special Lagrangian equations with subcritical phases and minimal surface systems.Amer

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.462346Z

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.

Observation 62289fbd-34cc-4d1a-958c-eb3e1409effb · outbound

This paper cites Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions.Amer.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions.Amer

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.444223Z

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.

Observation a13f68ce-ef21-43a8-905e-b9c6998f3457 · outbound

This paper cites Counterexample to the convexity of level sets of solutions to the mean curvature equation.J.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Counterexample to the convexity of level sets of solutions to the mean curvature equation.J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.425463Z

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.

Observation bd8a7b22-ad36-4f83-8352-b3b7755e19b9 · outbound

This paper cites Hessian estimates for the sigma-2 equation in dimension 3.Comm.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Hessian estimates for the sigma-2 equation in dimension 3.Comm

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.409078Z

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.

Observation 10601556-ae8b-43d2-af8c-9167f75e71f3 · outbound

This paper cites Hessian and gradient estimates for three dimensional special Lagrangian equations with large phase.Amer.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Hessian and gradient estimates for three dimensional special Lagrangian equations with large phase.Amer

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.392446Z

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.

Observation eb616330-b073-4575-b6b0-df83d15ba836 · outbound

This paper cites Global solutions to special Lagrangian equations.Proc.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Global solutions to special Lagrangian equations.Proc

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.375818Z

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.

Observation 48dfbf59-cbfd-4e09-9760-aa9a56047c88 · outbound

This paper cites Power convexity of solutions to a special Lagrangian equation in dimension two.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Power convexity of solutions to a special Lagrangian equation in dimension two

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:30:59.359020Z

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.

Observation 2b844cc6-36b8-46a3-9696-f640c0875f1e · outbound

This paper cites Strictly stable solutions in uniformly convex planar domains may have nonconvex superlevel sets.

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation Strictly stable solutions in uniformly convex planar domains may have nonconvex superlevel sets

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-12T00:30:59.283232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.