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Paper Citation Record · LEDGER

Nonconvex Sublevel Sets For The Planar Translating Mean Curvature Equation

As of 11 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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:30:23.250404Z digest=sha256:f1811563e73288806d6dd4e93fbd611951a6174ceff339664a712e5f68c42175

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:30:23.295023Z digest=sha256:80a33a68bd3dd806dc2d71ce1ebd40da0edf328d9666fb7db1b7fe2324c16369

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:30:23.341333Z digest=sha256:333d441f4cbfc20abd561a8af56cfbd1e7869ba427fa97c68d368c5ee2ea417a

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:30:23.405635Z digest=sha256:ad46ed965818cdf097fa4d7972da1029e3b720d75f13d3ddc5b2f6a99015ce12

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:30:23.495473Z digest=sha256:63e2d0965b53006ea52009b61b189119c4cb0446b0a06ae91fef01811034c5f5

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:30:23.557999Z digest=sha256:a62f7454c01b69f071707ab879c7fbb7bd9d8701603d58bdcd3681120459fa07

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:30:23.621474Z digest=sha256:69513135fb0b8c1d61888e18d8dffde9f84f5c5d32f496ec1bcab8db0148ac32

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:30:23.690917Z digest=sha256:e9d8ab5cebfc050753cdf57e67648c3f624017e2c2cc0721d2fff6926a0742a6

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:30:23.777524Z digest=sha256:513bece684a74ca3c881cbe14a9d673a3404877092bdb5f5fc5b9f27c3254a09

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:30:23.864766Z digest=sha256:3af029cfd36b9b660a04690465ece44cbaba47c4fac723bcde8a37fad256a04f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:30:23.951534Z digest=sha256:c4d7916000650a249f01613c5cb587e44ace0434283d79a9c48a8293a5896677

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:30:24.037770Z digest=sha256:f399f18ffdb0b01c4b0ae3020247841fe12bd12dadfc12f9ce8d586c23eb8a43

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:30:24.126299Z digest=sha256:abad65ed080563b77572eff829ba639794fe4ae02406cc64a9f10392043cef93

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:30:24.189336Z digest=sha256:7c67a570032ee967109c47a2a1f8b0e121c86a11e8f0f926b7badf71165739e2

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:30:24.268632Z digest=sha256:b14d109bbd7bab1f771de53a5191a50e08f280fd0490e8b0fde2ffefbb897bd0

Pith citing papers

No inbound Pith citation observations are available.