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Paper Citation Record · LEDGER

Singularity formation in axially symmetric mean curvature flow with Neumann boundary

As of 16 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:1908.02871.

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

pith.paper-citation-record.v1
1908.02871 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:41:07.777398Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved1
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 680adf0a-da49-44d8-9e53-c34b3bdeb2cb · outbound

This paper cites B., AND GIGA , Y.

Singularity formation in axially symmetric mean curvature flow with Neumann boundary B., AND GIGA , Y

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 260b9e96-6f1f-49d1-906f-16fbca13ba8a · outbound

This paper cites V olume-preserving mean curvature flow of rotationally symmetric surfaces.

Singularity formation in axially symmetric mean curvature flow with Neumann boundary V olume-preserving mean curvature flow of rotationally symmetric surfaces

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:07.918879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:07.741790Z digest=sha256:a3001805b01364fc5a5c799f4e768c8ee6e60d52860fca1a53f5414d343f0d45

Observation 3bda2449-485d-4c6b-85ea-d28c7d83d2e3 · outbound

This paper cites Behaviour of singularities of the rotationally symmetr ic, volume-preserving mean curvature flow.

Singularity formation in axially symmetric mean curvature flow with Neumann boundary Behaviour of singularities of the rotationally symmetr ic, volume-preserving mean curvature flow

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:07.907220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9ec8746a-471b-4cae-bd33-b352c7d7ecd2 · outbound

This paper cites On the convergence of axially symmetric volume preserving mean curvature flow.

Singularity formation in axially symmetric mean curvature flow with Neumann boundary On the convergence of axially symmetric volume preserving mean curvature flow

Reference 4

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verified fuzzy
raw_fallback, observed 2026-08-14T14:41:07.896212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:07.748963Z digest=sha256:f8b236b33d691866ffd2a8769873dbff197053b4d8d22d100a4cab5de76c501e

Observation 84fc6dec-e153-40a8-85da-bbb4c7f46d58 · outbound

This paper cites Singularities of axially symmetric volume preserving mean curvature flow.

Singularity formation in axially symmetric mean curvature flow with Neumann boundary Singularities of axially symmetric volume preserving mean curvature flow

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:07.886330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:07.752961Z digest=sha256:236220cc5f2719dfdd328fe39fd30e2b7a2c89d6e8c6cb26ad357ed281d537e0

Observation 2baba2de-ccff-4cb6-b14c-6e252e1b241a · outbound

This paper cites an unresolved cited work.

Singularity formation in axially symmetric mean curvature flow with Neumann boundary Unresolved cited work

Reference 6

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unresolved
raw_fallback, observed 2026-08-14T14:41:07.876845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b6fd1a28-40a7-449d-9865-78d5cc25254a · outbound

This paper cites Regularity theory for mean curvature flow.

Singularity formation in axially symmetric mean curvature flow with Neumann boundary Regularity theory for mean curvature flow

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:07.867485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:07.760661Z digest=sha256:48843f8b743ac3bcefe0cfab9db6089633949c8e30e1114023567f921ae3edc4

Observation 1deeca49-cd37-4bad-b3e3-bc2f7b12b99a · outbound

This paper cites On the extension of axially symmet- ric volume preserving mean curvature flow.

Singularity formation in axially symmetric mean curvature flow with Neumann boundary On the extension of axially symmet- ric volume preserving mean curvature flow

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:07.857870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c02af4a4-2efe-43c9-995f-59839082ec19 · outbound

This paper cites Flow by mean curvature of convex surfaces into spheres.

Singularity formation in axially symmetric mean curvature flow with Neumann boundary Flow by mean curvature of convex surfaces into spheres

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:07.847261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:07.767558Z digest=sha256:9fc6bbc20e6aa38022e7057dcd5dac374b1028c11c3ad8e34cfb86c209a59195

Observation 0decc408-6a02-46c1-a2fd-96362d7cc1ba · outbound

This paper cites Asymptotic behavior for singularities of the mean curva ture flow.

Singularity formation in axially symmetric mean curvature flow with Neumann boundary Asymptotic behavior for singularities of the mean curva ture flow

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:07.836129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c3ddab59-51b5-4896-98cd-84201d957bc2 · outbound

This paper cites Mean curvature flow with surgeries of two-convex hypersurfaces.

Singularity formation in axially symmetric mean curvature flow with Neumann boundary Mean curvature flow with surgeries of two-convex hypersurfaces

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:07.824458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0f3fd5ce-f7c3-4e6a-8654-911a88b932c4 · outbound

This paper cites Principes du maximum paraboliques pour des domaines (x, t) non- cylindriques.

Singularity formation in axially symmetric mean curvature flow with Neumann boundary Principes du maximum paraboliques pour des domaines (x, t) non- cylindriques

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:07.811293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:07.777398Z digest=sha256:7f0965c5128d049ddbe8028211ac56781e2a9475385c3be79658c84f357d8c6e

Pith citing papers

No inbound Pith citation observations are available.