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Paper Citation Record · LEDGER

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

As of 15 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 2026-08-14T06:32:32.682623+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=sha256:6d4845eb68c2a5ac4303859e3f2a689884ad3a45ad1c971fce1053ff6e84619c

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T05:06:54.252070Z digest=sha256:2f885f34ec10023594f3089e42064bc2bfb1ebd22144ca365f751034b71dd818

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=sha256:583cc540167946fa4b1aa2aa6108d7a5779d1857efe9b453d730b9284a53e4d4

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T05:06:54.259345Z digest=sha256:b59b1fe784978d0c8fcd6d2ad1b19135b854bfe4cf6ad06c0bea95f56b7bd74e

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T05:06:54.262797Z digest=sha256:2b0e6d0616cd8bb3891bdad92cd46833cb58e2a78548c318c99f90e98d6b6d13

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T05:06:54.266072Z digest=sha256:7e797045edd02162858f4cef1cbed2495411f408d1ff22890f541db741938126

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T05:06:54.269384Z digest=sha256:b2a338b2e1c3435f99b1220e9bb7f8fcff1eded657ad632c6f4adfefdbbd0570

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T05:06:54.272188Z digest=sha256:cd74bf03f2ae4c5cc94ad9ed5d8a3f387b7c1e732b709ceef66bc0059388cc1c

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:cf9400624b83f1a457e25919ef04c1f226677d4c09271b3f472257e2771428b6

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:e842647f7c91a0f048e79ec59a4291941c7e8a00cbcbc6b7dd6f2da76690485a

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T05:06:54.280788Z digest=sha256:0b92fa7f993cd980640a5f4cc56696b6fc08d9b1d1c2f7d937270055efb1f101

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T05:06:54.283814Z digest=sha256:1e0754e02aed0034acb9caa4670f5961eadd500d00c5f1ecb999a28feb99efb1

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T05:06:54.286810Z digest=sha256:1f0ccc0b08f8a1d01abefb8226a2f702b1e415a202519bf04f685b5c3ec6e841

Pith citing papers

No inbound Pith citation observations are available.