Pith. sign in

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:ed6dbc076509b29a5b0ed2904e8a08d52a6fafa4632c0c878c863e6a71602cb5

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:cecbe3b3a389ab28d6e4d7ae95fa4d0002f94916cda7cce4bddc35622e40bf72

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=sha256:9ac66f9f659fef02e69fd8b8d0c17ea487dda4d9df3efacafd9af865dac53b9e

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=sha256:77ee8d8000739d9bbdf9192bd14de547a1ffe1ef3538c9a427138d581c2bdbe3

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=sha256:0f0a2b9899c13759b2f96d7aa045a82cd43c789bace36298b7933dba47402ef8

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:bf5cdafd0b9ec81ffc08e0a7099838e26d0311ed288e0d35db2f97404f48c737

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=sha256:7138c8174fdca3123b9930c757033de3948327a7c72377b1ea6450ac2c5c5ca7

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=sha256:2446de1d25399a76bb63c56b0910958ffafa2078abcde3063e2b0c3648328c75

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=sha256:84c66e06ecb6a4255684afc6897a97410a8a44419bf76dbb34293c01ba71474f

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:b04e810e6eb4d5602c14535aa374155b089a846738e244e282df1a53d179686f

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=sha256:92cf3d6c6f1afec7931c6dbf94163f9df2a47f1d56eed00d8bb6385eb15e567a

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=sha256:071e2afe301b9b302de6005fafd31a6a593b4cddf6d0813133ee3dc5415e1ffa

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=sha256:2a26c5408875ff012e4bb37323ff49c3cd7b98ad178c3f65f08ff2c1a79e8876

Pith citing papers

No inbound Pith citation observations are available.