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Paper Citation Record · LEDGER

Non-uniqueness of Brakke flows starting from minimal surfaces with singularities

As of 16 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2608.13531.

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

pith.paper-citation-record.v1
2608.13531 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:06:54.286810Z

measured 13 of 13 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

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0f69d8f8-a864-427e-902c-0908440f32ba · outbound

This paper cites an unresolved cited work.

Non-uniqueness of Brakke flows starting from minimal surfaces with singularities Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T05:06:54.248300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T05:06:54.248300Z digest=sha256:d269d0e9387b08ba5d0c18da66b2c7fd9e9bd2d5e738a6877d2296f86d9a53b7

Observation 5dbf5d2a-4346-41cb-93ef-61bf6f75b6ea · outbound

This paper cites Becker-Kahn.

Non-uniqueness of Brakke flows starting from minimal surfaces with singularities Becker-Kahn

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:06:54.397280Z

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=arxiv_source observed=2026-08-14T05:06:54.252070Z digest=sha256:999da4b49571e8be627429946decc24bc42e63b67a318ddb0122a626da92bfeb

Observation 6df729c2-adf1-4053-9d0f-400f52431c8e · outbound

This paper cites On the nature of stationary integral varifolds near multiplicity 2 planes, 2025.

Non-uniqueness of Brakke flows starting from minimal surfaces with singularities On the nature of stationary integral varifolds near multiplicity 2 planes, 2025

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T05:06:54.255071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T05:06:54.255071Z digest=sha256:7efeed78b2328ba4c2a54f62d1a79f669a589101668f0b84990d91a2dd7ffcff

Observation 0f5e686c-171f-43d9-bb5e-578fe066ea09 · outbound

This paper cites an unresolved cited work.

Non-uniqueness of Brakke flows starting from minimal surfaces with singularities Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:06:54.383668Z

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=arxiv_source observed=2026-08-14T05:06:54.259345Z digest=sha256:a0cbff9470799343092769f316f54a652522b88bbae60bfddc8b0207bdcaf03a

Observation bf4bc526-528a-48d3-9f3f-bfbf451ec0e7 · outbound

This paper cites Area minimizing hypersurfaces modulo p : a geometric free-boundary problem.

Non-uniqueness of Brakke flows starting from minimal surfaces with singularities Area minimizing hypersurfaces modulo p : a geometric free-boundary problem

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:06:54.375048Z

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=arxiv_source observed=2026-08-14T05:06:54.262797Z digest=sha256:0451e1a59dddc0d2b39dded4fe14edd0568f0940b7f45b9918ab7e78c38a1fdb

Observation 87ea11c4-d2e7-4ee1-b958-d087a261bc93 · outbound

This paper cites Elliptic regularization and partial regularity for motion by mean curvature.

Non-uniqueness of Brakke flows starting from minimal surfaces with singularities Elliptic regularization and partial regularity for motion by mean curvature

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:06:54.366181Z

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=arxiv_source observed=2026-08-14T05:06:54.266072Z digest=sha256:a02fd6aa908761e0cd4bed4b7ae00f82aeb6cd4032e1c633f53fdd541d81c2ce

Observation c86e75a0-da97-4505-9ce2-6cac2057d1d1 · outbound

This paper cites A general regularity theory for weak mean curvature flow.

Non-uniqueness of Brakke flows starting from minimal surfaces with singularities A general regularity theory for weak mean curvature flow

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:06:54.357041Z

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=arxiv_source observed=2026-08-14T05:06:54.269384Z digest=sha256:5dbbccd7eebff0d700058c64ee71024df1122f0fc4d0091bd541a47ce07a57a8

Observation a085370c-f07c-44bc-8361-2df9c7e9594c · outbound

This paper cites The structure of stable codimension one integral varifolds near classical cones of density Q+1/2.

Non-uniqueness of Brakke flows starting from minimal surfaces with singularities The structure of stable codimension one integral varifolds near classical cones of density Q+1/2

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:06:54.347146Z

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=arxiv_source observed=2026-08-14T05:06:54.272188Z digest=sha256:7b1aa4b556894dc2d9458e7ae8826e6225425f8fa312db6913c9aaedbfdae615

Observation c3572ede-a1ea-4486-a63d-f426cab6b228 · outbound

This paper cites A structure theory for stable codimension 1 integral varifolds with applications to area minimising hypersurfaces mod \,p.

Non-uniqueness of Brakke flows starting from minimal surfaces with singularities A structure theory for stable codimension 1 integral varifolds with applications to area minimising hypersurfaces mod \,p

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T05:06:54.275166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T05:06:54.275166Z digest=sha256:5740c1f39e9dd0da50678e556b589a82f1c74da3fc53569190632bffc717e6ba

Observation 72a4d0bd-baea-4934-8588-ebc1c4d7ae6f · outbound

This paper cites Lectures on geometric measure theory , volume 3 of Proceedings of the Centre for Mathematical Analysis, Australian National University.

Non-uniqueness of Brakke flows starting from minimal surfaces with singularities Lectures on geometric measure theory , volume 3 of Proceedings of the Centre for Mathematical Analysis, Australian National University

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T05:06:54.278093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T05:06:54.278093Z digest=sha256:0c409a8b2f4da201c299908efe1409f189e98823b90d87573ffaf3568bdfb3fa

Observation 78b45d3d-54c7-4d62-9029-5f82a8d282f2 · outbound

This paper cites An existence theorem for B rakke flow with fixed boundary conditions.

Non-uniqueness of Brakke flows starting from minimal surfaces with singularities An existence theorem for B rakke flow with fixed boundary conditions

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:06:54.327868Z

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=arxiv_source observed=2026-08-14T05:06:54.280788Z digest=sha256:fed2c59b2de09d7619cfde1e856b500fc78e20f4695cf4c20852c56a64189764

Observation e5217dc9-e45a-43f1-ae17-f872feca81f6 · outbound

This paper cites Dynamical instability of minimal surfaces at flat singular points.

Non-uniqueness of Brakke flows starting from minimal surfaces with singularities Dynamical instability of minimal surfaces at flat singular points

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:06:54.318945Z

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=arxiv_source observed=2026-08-14T05:06:54.283814Z digest=sha256:03dd787574775bc49c46500fadbd6d4b734604abc91a1c0568d302f510ddda19

Observation c571ffbe-c60a-4665-a45d-ec3dc80ee24c · outbound

This paper cites Brakke's mean curvature flow.

Non-uniqueness of Brakke flows starting from minimal surfaces with singularities Brakke's mean curvature flow

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:06:54.308710Z

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=arxiv_source observed=2026-08-14T05:06:54.286810Z digest=sha256:9bd6bcf1fa81c0be383ee44f32780e31051b7a3a09fb2a13740dcd84de115b6c

Pith citing papers

No inbound Pith citation observations are available.