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Paper Citation Record · LEDGER

Nonconvex Sublevel Sets For The Planar Translating Mean Curvature Equation

As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2608.06293.

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

pith.paper-citation-record.v1
2608.06293 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:30:24.268632Z

measured 15 of 15 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 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

15 of 15 outbound references displayed

  • verified exact6
  • verified fuzzy4
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 54a0d618-b186-4858-98fe-9fc82aec1e6b · outbound

This paper cites an unresolved cited work.

Nonconvex Sublevel Sets For The Planar Translating Mean Curvature Equation Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:30:28.188721Z

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.

source=pdf_text observed=2026-08-07T10:30:23.250404Z digest=sha256:ae8faa2b3cf1d9a401b9594750a8f12ff2ed8389398d0689639b88d7faf87b3b

Observation 25055ae5-0ea8-4835-93f0-8f04f73d41e1 · outbound

This paper cites Hamel, N.

Nonconvex Sublevel Sets For The Planar Translating Mean Curvature Equation Hamel, N

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:30:27.942755Z

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.

source=pdf_text observed=2026-08-07T10:30:23.295023Z digest=sha256:845caf9f71ae5641ac502449be9f24efacd464608dce6f522a49b75a62de08aa

Observation 9fae667a-68ec-4b70-9698-0a5abd1afba2 · outbound

This paper cites Kawohl,Rearrangements and Convexity of Level Sets in PDE, Lecture Notes in Math., vol.

Nonconvex Sublevel Sets For The Planar Translating Mean Curvature Equation Kawohl,Rearrangements and Convexity of Level Sets in PDE, Lecture Notes in Math., vol

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:30:27.661991Z

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.

source=pdf_text observed=2026-08-07T10:30:23.341333Z digest=sha256:62c8fe7304f84104c0b1956941b2f803e3220537d563c42413bba02ae90bd24b

Observation 4ce7b19a-4578-42b8-9034-e085bce9acb9 · outbound

This paper cites an unresolved cited work.

Nonconvex Sublevel Sets For The Planar Translating Mean Curvature Equation Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:30:27.388118Z

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.

source=pdf_text observed=2026-08-07T10:30:23.405635Z digest=sha256:eabf8a3d1f9d7a53f73e5c8ecd8d9d1936d873abfb1ebbb77be1f401f39d8cbf

Observation e2a33549-a7b7-44da-8d60-dd779ea74017 · outbound

This paper cites an unresolved cited work.

Nonconvex Sublevel Sets For The Planar Translating Mean Curvature Equation Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:30:27.052373Z

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.

source=pdf_text observed=2026-08-07T10:30:23.495473Z digest=sha256:0b15e35085b3dfdba2a35277f5a562956aa97b29d2e03b7e2be06dd113930fcb

Observation 06ffea35-5c4c-4a90-8827-696636b4173a · outbound

This paper cites an unresolved cited work.

Nonconvex Sublevel Sets For The Planar Translating Mean Curvature Equation Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:30:26.762485Z

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.

source=pdf_text observed=2026-08-07T10:30:23.557999Z digest=sha256:2b17a06ed076cf4750bde7f2ebb25baa492b2799bd8c2f7495897c1a4a442af1

Observation 604a75d7-5d0a-4c1b-924a-58ca3008d3be · outbound

This paper cites Ma,Convexity and the Dirichlet problem of translating mean curvature flows, Kodai Math.

Nonconvex Sublevel Sets For The Planar Translating Mean Curvature Equation Ma,Convexity and the Dirichlet problem of translating mean curvature flows, Kodai Math

Reference 7

Resolution
verified exact
raw_fallback, observed 2026-08-07T10:30:25.931290Z

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.

source=pdf_text observed=2026-08-07T10:30:23.621474Z digest=sha256:dcbc9f2714e4beb76ac0f5a9fd10c7d61979c2abb7f3b618a9b63d3e28c57b3d

Observation 5cbc7920-3777-488a-a11e-307dd474dbcd · outbound

This paper cites an unresolved cited work.

Nonconvex Sublevel Sets For The Planar Translating Mean Curvature Equation Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:30:26.544402Z

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.

source=pdf_text observed=2026-08-07T10:30:23.690917Z digest=sha256:4a877a48e0b3bf9bbebc3b170e71a5045abaea855ca943d0e93c442e0af87dc3

Observation e306d9ab-05c1-40d4-b9ac-c05cfa937811 · outbound

This paper cites Shiffman,On surfaces of stationary area bounded by two circles, or convex curves, in parallel planes, Ann.

Nonconvex Sublevel Sets For The Planar Translating Mean Curvature Equation Shiffman,On surfaces of stationary area bounded by two circles, or convex curves, in parallel planes, Ann

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:30:26.344932Z

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.

source=pdf_text observed=2026-08-07T10:30:23.777524Z digest=sha256:b6940aba3d1532df13d4f6843bb5cc98808332953ecf71c008e995283b9d30ee

Observation d3b7a8ee-2311-4770-a719-62f2c4dab37f · outbound

This paper cites Spruck and L.

Nonconvex Sublevel Sets For The Planar Translating Mean Curvature Equation Spruck and L

Reference 10

Resolution
verified exact
doi, observed 2026-08-07T10:30:25.222428Z

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.

source=pdf_text observed=2026-08-07T10:30:23.864766Z digest=sha256:5d8cb496bdb4160a95b60a7796c0f9ce9f07c024029edf704b073d5fb5906b32

Observation 501b7c5d-fb3a-43a9-a40e-962228b67ded · outbound

This paper cites Wang,Singularity behavior of the mean curvature flow, inThird International Congress of Chinese Mathematicians, Part 1(K.-S.

Nonconvex Sublevel Sets For The Planar Translating Mean Curvature Equation Wang,Singularity behavior of the mean curvature flow, inThird International Congress of Chinese Mathematicians, Part 1(K.-S

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:30:26.158989Z

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.

source=pdf_text observed=2026-08-07T10:30:23.951534Z digest=sha256:6ed47f24f53149308f5707572ef70be575c6d47cb1d487422196f8eeb1dc4100

Observation 1560bd19-dc06-4074-9d94-43a0fc3e80f6 · outbound

This paper cites Wang,Convex solutions to the mean curvature flow, Ann.

Nonconvex Sublevel Sets For The Planar Translating Mean Curvature Equation Wang,Convex solutions to the mean curvature flow, Ann

Reference 12

Resolution
verified exact
doi, observed 2026-08-07T10:30:24.988592Z

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.

source=pdf_text observed=2026-08-07T10:30:24.037770Z digest=sha256:70e2deaaa4d8479e7e9dfe42af37edb02b641bae83525b6da8d8f3164d9eee81

Observation b212b85e-5a83-4fca-9bd0-8dc709aaa286 · outbound

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

Nonconvex Sublevel Sets For The Planar Translating Mean Curvature Equation Wang,Counterexample to the convexity of level sets of solutions to the mean curvature equation, J

Reference 13

Resolution
verified exact
doi, observed 2026-08-07T10:30:24.697490Z

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.

source=pdf_text observed=2026-08-07T10:30:24.126299Z digest=sha256:02e41b6664eab1230c81035d9d13dd6ca86d6e8af907aa147bd2d6a465581b56

Observation ebc7f041-594a-454b-8534-aad2dc5aa40c · outbound

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

Nonconvex Sublevel Sets For The Planar Translating Mean Curvature Equation Strictly stable solutions in uniformly convex planar domains may have nonconvex superlevel sets

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:30:25.492027Z

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.

source=pdf_text observed=2026-08-07T10:30:24.189336Z digest=sha256:72cce866579a7ff32e0be7ead2bb67e0fda3159c476688359ecb870472274deb

Observation 2c721c41-18bf-46c3-b1e3-61de10ddfa44 · outbound

This paper cites Zhou,The Dirichlet problem of translating mean curvature equations, Rev.

Nonconvex Sublevel Sets For The Planar Translating Mean Curvature Equation Zhou,The Dirichlet problem of translating mean curvature equations, Rev

Reference 15

Resolution
verified exact
doi, observed 2026-08-07T10:30:24.435579Z

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.

source=pdf_text observed=2026-08-07T10:30:24.268632Z digest=sha256:fbdb975fd7fe8c502a66fb512b82575951cf6a8f421723288d74b550d75c261a

Pith citing papers

No inbound Pith citation observations are available.