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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=sha256:09136cec119fcc18c7ecf2b7221164561abd4981f077cb44f700a5af6fc68e50

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=sha256:250d3e3e407888259f88c305bd6e7f4d23cbd335db58e49be9e2c939f4597773

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=sha256:8802d7f1e5419a06f7e04f02e991d9a8ef5bdd11b136f2c241a193da8ae16566

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=sha256:4f0c903495ab56ac6dba775cbf1dff0de8b733dc61d6362985a8c3149e263570

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=sha256:220886df1e77318623230a01ae2f7018b15b9cd88012b43a1240f529789e1795

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:d1d10ce9136bad63fa6a5dba8bb594f264a31dfff7d4937d5398e4352371adb7

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:ad3fbe04f133ae59318117c5dcce85fd751d95fd27b69d1634e56a946bd5cf66

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:ae9f7b86db63d462cef5d438865d1f13debdb9f4d4a52adbbead7ca342fc4ecc

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:a79e6f3e7dd2b2e8ef1e08ac9bb58314ab26375f207979f3aaeddbee67531843

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=sha256:5076c5c40a2e5713f75eb858a20fa394fea7e2d3704c508a17d34f2ee1b8a13c

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=sha256:934ce713e4994859253dc8a724a87fb6ce31011c5f7538113d3b520364f48316

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:cc42485e360385562b023cc27676cfa731c649a659170b0196c92c9844051fd1

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=sha256:43ce99d9b8e3fbf13be8c20602089cb125444287160b82caffb281494f8782e1

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:de202a942857b49322d7f5b8a8558a624290a8390e422cadba5bef9f8869b0b2

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:e1bb71d39ff20e182aeaab49f9978d84da79ec1b45bf450b8ab7c1a4fc1f4fb9

Pith citing papers

No inbound Pith citation observations are available.