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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 2026-08-15T06:32:42.880941+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=sha256:60ebf3d5774f874514a043eec1641e471c9f86981c25fb46377b4ca57fc977ad

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T05:06:54.252070Z digest=sha256:7ca189a92d6cf85f52534ce49114e5a46de39c7aac409b058c88d5a8b8861441

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=sha256:2d2df6da64efa1c4c23e97f7af009b7c76a5abc1f8aecf55d51b6ce6d122ea87

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T05:06:54.259345Z digest=sha256:d35fa0649ff49d1c72e936818f0f2a281f5e5f3186797b875bd1a7f5e074773d

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T05:06:54.262797Z digest=sha256:3623b26a45e4faec9d44bbc277e69870a5c9937cc4918c184394db71edfb257d

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T05:06:54.266072Z digest=sha256:115199b006f9b65d8533ed90dbc18859200998ced91b019a9c8cdf459b185532

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T05:06:54.269384Z digest=sha256:b99f4d4ce969cd9e93d091bb68c7bdb84ec082dd89d4ed58a3c5589545190477

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T05:06:54.272188Z digest=sha256:13f4c382ccd9c4d75d6b6e3733a755ab3ab17dd1611f043d0cd39b5fb933e3f6

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:e8a4068005cd3c889cba225f8d4e9bbf449f23bcfb8eae1e70821f0c4aaec93c

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:aa4fab6dd82612471aea1085bbca5c475fec1756497d4e8e8d23ab838b123a64

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T05:06:54.280788Z digest=sha256:a48aa7091d9403335ebb8fa2c9efd7fdc482214f075d086d530e47e4fed61492

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T05:06:54.283814Z digest=sha256:999f0197ea356715a5f695aec4d5daabeecb4f787e0e01dcaa0adeb31c05b056

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T05:06:54.286810Z digest=sha256:3c78d2be23c193e8a93f37fbf60ddc510f2f376be41af4f92d2b7a5c3aca70ca

Pith citing papers

No inbound Pith citation observations are available.