Paper Citation Record · LEDGER

Quantitative uniqueness for mean curvature flow

As of 12 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 2026-08-12T06:34:41.77262+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
parse uncertain0
malformed identifier0
metadata mismatch0

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; raw_fallback, observed 2026-08-09T04:24:37.941973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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.

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: verified exact; 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 2026-08-12T06:34:41.77262+00:00.