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Paper Citation Record · LEDGER

Quantitative uniqueness for mean curvature flow

As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 2 inbound Pith citation observations for arXiv:2502.03634.

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

pith.paper-citation-record.v1
2502.03634 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T04:24:37.746879Z

measured 23 of 23 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:24:46.966688Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-22T12:11:31.177925Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy19
  • unresolved2
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5aa7abd9-9f2e-4845-9906-c164adbc291b · outbound

This paper cites Carson, J.

Quantitative uniqueness for mean curvature flow Carson, J

Reference 1

Resolution
verified fuzzy
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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=2026-08-09T04:24:37.684216Z digest=sha256:7f7ae89c37c285649effd48411cf6fd19f5342cce3282eacfbfaf3ca4fc516b6

Observation 663e983a-d1bc-4b0e-aa8e-b7e56fa28ef6 · outbound

This paper cites Chodosh, K.

Quantitative uniqueness for mean curvature flow Chodosh, K

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:24:37.934952Z

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=2026-08-09T04:24:37.687962Z digest=sha256:ca3c57a125277624814863961191a43bcd5e90d41d01e303898e5f0dd1dd2332

Observation c8269d8a-3e84-4dd1-b5ab-1b56b0ab69d5 · outbound

This paper cites Chodosh and F.

Quantitative uniqueness for mean curvature flow Chodosh and F

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:24:37.926461Z

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=2026-08-09T04:24:37.691207Z digest=sha256:6f989f7d16c7d9d3f406de5ae768a668159d5112d3b9a1b53aa108c3abec09d6

Observation feb6864a-a81e-453d-ba39-dd0c2ef8d45a · outbound

This paper cites an unresolved cited work.

Quantitative uniqueness for mean curvature flow Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-09T04:24:37.918207Z

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=2026-08-09T04:24:37.694198Z digest=sha256:f0661a5aa8c916f500d579d2d8beacb3cd48c7385409d212287956a8f9832304

Observation 452c9bbf-d233-457b-b55f-9b10351c4c74 · outbound

This paper cites Colding T.

Quantitative uniqueness for mean curvature flow Colding T

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:24:37.909956Z

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=2026-08-09T04:24:37.697275Z digest=sha256:3f591749b5768de14c8ba0bba5adf1f1c503642abc11809078cd75d3453b43a1

Observation 214b8947-dc9f-403c-ae0c-dee98b3afb21 · outbound

This paper cites Colding and W.P.

Quantitative uniqueness for mean curvature flow Colding and W.P

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:24:37.901381Z

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=2026-08-09T04:24:37.701038Z digest=sha256:329dc182bebe14c650756715454f562b1483c2c2754501718d004bbaa5426e8c

Observation d703c734-739d-4363-bad5-5ba5dd76c7b0 · outbound

This paper cites Colding and W.P.

Quantitative uniqueness for mean curvature flow Colding and W.P

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:24:37.892813Z

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=2026-08-09T04:24:37.704442Z digest=sha256:cc8308e86bc3cde8767e03057edc97d85fd635b39a632955a0d7854a57e91016

Observation 00a6cdb3-56c4-4d20-84e3-3df609f61086 · outbound

This paper cites Colding and W.P.

Quantitative uniqueness for mean curvature flow Colding and W.P

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:24:37.883787Z

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=2026-08-09T04:24:37.707354Z digest=sha256:1095d54b7b3abfd4109d661ee682dd7719be41dcb1f25abfdbbb53b58fa14b75

Observation 2b0c58c8-d73f-4020-940b-eae6819e9a0b · outbound

This paper cites Colding and W.P.

Quantitative uniqueness for mean curvature flow Colding and W.P

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:24:37.874947Z

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=2026-08-09T04:24:37.710192Z digest=sha256:7f9c8a26759f6bfeb3ba8d0ea2d8ce6c0c188f941c72fbe5473c0b1f56111cdc

Observation 6dd0de0f-16c2-42a2-8731-3ad4097319d8 · outbound

This paper cites Colding and W.P.

Quantitative uniqueness for mean curvature flow Colding and W.P

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:24:37.866252Z

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=2026-08-09T04:24:37.713294Z digest=sha256:43657afde44abdc48171843594d03630722ffd981526369f6fb9ae68bdd36d69

Observation 271f07d8-204a-46dc-a29a-4936a077020c · outbound

This paper cites Gang, On the non-degenerate and degenerate generic singularities formed by mean curvature flow , Adv.

Quantitative uniqueness for mean curvature flow Gang, On the non-degenerate and degenerate generic singularities formed by mean curvature flow , Adv

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:24:37.857465Z

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=2026-08-09T04:24:37.716460Z digest=sha256:f156e4e91fa908437a4954f4a4afa65c0a98493635615e206882ac11a3031006

Observation 58eebf70-f385-4bf7-a2a4-09269fb2830a · outbound

This paper cites Haslhofer and B.

Quantitative uniqueness for mean curvature flow Haslhofer and B

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:24:37.848599Z

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=2026-08-09T04:24:37.719526Z digest=sha256:c27408a315b2e3492a7df049a9c0ff72a6d897783e4f49469abd99c978e339f5

Observation f4c45c2c-00e9-413c-b9d5-6931db25fb7a · outbound

This paper cites Huisken, Asymptotic behavior for singularities of the mean curvature flow.

Quantitative uniqueness for mean curvature flow Huisken, Asymptotic behavior for singularities of the mean curvature flow

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-09T04:24:37.722765Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T04:24:37.722765Z digest=sha256:f7bcaa69034396fee097ea1ee21aef9176f725cd2d2b2147ee4499e72fbfb4e4

Observation d4a45d56-c9a1-47dd-a1a6-72d790e565c6 · outbound

This paper cites Ilmanen, Singularities of Mean Curvature Flow of Surfaces, preprint, 1995, \\ http://www.math.ethz.ch/\ /papers/pub.html.

Quantitative uniqueness for mean curvature flow Ilmanen, Singularities of Mean Curvature Flow of Surfaces, preprint, 1995, \\ http://www.math.ethz.ch/\ /papers/pub.html

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:24:37.832961Z

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=2026-08-09T04:24:37.725869Z digest=sha256:cd5432b371e8f31f438f193a090e5ca74ebf0b10e8c8301122ad86d6e1a5d00f

Observation 297a5ca9-5c4d-4cb8-8338-4c34f3ebb743 · outbound

This paper cites Lojasiewicz, Ensembles semi-analytiques, IHES notes (1965).

Quantitative uniqueness for mean curvature flow Lojasiewicz, Ensembles semi-analytiques, IHES notes (1965)

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:24:37.824511Z

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=2026-08-09T04:24:37.728893Z digest=sha256:2b9f121dda3dd4ec1989c05899e34776073c256e4c28a4249c849219c398047b

Observation 6535d1af-2a16-4f48-b2c3-fff9aeaf108b · outbound

This paper cites Sun, Local entropy and generic multiplicity one singularities of mean curvature flow of surfaces , J.

Quantitative uniqueness for mean curvature flow Sun, Local entropy and generic multiplicity one singularities of mean curvature flow of surfaces , J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:24:37.816610Z

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=2026-08-09T04:24:37.731957Z digest=sha256:bd4205c0f2f3c0d7012794aeb650702935b28091d5f3f3931fb1cb9fcf39d8d1

Observation f37efced-815c-47c8-ac9d-6b21a46c1571 · outbound

This paper cites White, A local regularity theorem for mean curvature flow.

Quantitative uniqueness for mean curvature flow White, A local regularity theorem for mean curvature flow

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:24:37.808407Z

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=2026-08-09T04:24:37.734902Z digest=sha256:f191c2b44f5213b1f451df1a465741efb4f5ff735233b47f89fda39b60bbb2fb

Observation f3df7313-d1fb-418f-9955-9106231735b3 · outbound

This paper cites White, Partial regularity of mean-convex hypersurfaces flowing by mean curvature, Int.

Quantitative uniqueness for mean curvature flow White, Partial regularity of mean-convex hypersurfaces flowing by mean curvature, Int

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:24:37.800715Z

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=2026-08-09T04:24:37.737869Z digest=sha256:d277862833bf72f6a13da6d79df1e138ebcf46b4244851d8d2ab4ec2b7252822

Observation 06e56340-e597-47fb-aa57-cf995378811b · outbound

This paper cites White, The size of the singular set in mean curvature flow of mean-convex sets , J.

Quantitative uniqueness for mean curvature flow White, The size of the singular set in mean curvature flow of mean-convex sets , J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:24:37.792219Z

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=2026-08-09T04:24:37.740827Z digest=sha256:68c13027b7abb2d27bc9548f5501c258c43752a5f4b0f161519dffe4501eea19

Observation 9e9a74ce-4676-4a47-91df-caff13229085 · outbound

This paper cites White, The nature of singularities in mean curvature flow of mean-convex sets , J.

Quantitative uniqueness for mean curvature flow White, The nature of singularities in mean curvature flow of mean-convex sets , J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:24:37.783301Z

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=2026-08-09T04:24:37.743744Z digest=sha256:5d0c118820981e55624696a7a17435d0dc3a44d5a074f6ba786e7a8cf1e62bce

Observation 1f05db13-c15b-4dfc-baa7-f653418049d3 · outbound

This paper cites Zhu, Lojasiewicz inequalities for mean convex self-shrinkers , Int.

Quantitative uniqueness for mean curvature flow Zhu, Lojasiewicz inequalities for mean convex self-shrinkers , Int

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T04:24:37.773935Z

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=2026-08-09T04:24:37.746879Z digest=sha256:1dafca7f9cca44a60986b95cd4b16babe17d5fcb73f62f640a5d4eb9915740d2

Pith citing papers

Observation b0841df7-c642-432b-9d08-8a721d0e4fbf · inbound

Regularity of cylindrical singular sets of mean curvature flow cites this paper.

Regularity of cylindrical singular sets of mean curvature flow Quantitative uniqueness for mean curvature flow

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-05T12:24:46.966688Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T12:24:46.966688Z digest=sha256:bed5df5ad0d6e7fb27aa62598b2a41a5bf2354a9fc04cf77550422a847b2b292

Observation 453a4330-9d22-45ce-9a80-360f0af90b0e · inbound

Singularities of Curve Shortening Flow with Convex Projections cites this paper.

Singularities of Curve Shortening Flow with Convex Projections Quantitative uniqueness for mean curvature flow

Reference 4

Resolution
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arxiv_id, observed 2026-05-22T12:11:31.180859Z

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.

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