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Paper Citation Record · LEDGER

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

As of 14 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=sha256:018d7804a467d2c6eec9bdb9c13a40ac43e1eb73493e9f5584acb37e6d2dfd42

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:d21267eaa5855913da0b657788e78c08357b669075b0bdd70c69402ed2052814

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:ed65bf6e90aacfaf1b336e26de185c5424d81fa34a436aed45102eedd733c911

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:e2874b3ffdb1c7dbef5f2d74fff743413a9e73d33456246dde0e8a9c31d671b9

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=sha256:5f280830fcf56055f5442e7b26fa952a6820f48f236d8f517de9db09da4338f1

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=sha256:5c103d9503110f646d8876bfbfa8a3f4279a44cb8923a1a47c0307cd27a57203

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=sha256:1cd93e5ba482fbce4b66bf9c462109c690b437c8994b11ffa42a0e4b7f2efde3

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=sha256:66ddf70f43d8d222e669b12b24d0eaf9902f4065a396be2885d2a13b8865ef7e

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:e4a9909997f687ea48a3b1081ac53343ce34a54bc52e8a50ba77d9c0135de8ca

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=sha256:7172d6572c780b9fdc8e10462fa9f19bf63d531b7177f6a9fdaf816e6a99cad7

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=sha256:799e969f5ea764a9a9975bdebe4984f37610ea5f39597793b1aeddab11a8af69

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=sha256:0e45a2710cb8b08c8918bec7eeb6d49a3f934ca64d5f3e541d9f2f1c64b3260a

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:f71135fac960db9ca0c4d337ff28a4e865ec491a484a6bb638e946a34b5ad847

Pith citing papers

No inbound Pith citation observations are available.