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Paper Citation Record · LEDGER

Regularity of cylindrical singular sets of mean curvature flow

As of 12 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 0 inbound Pith citation observations for arXiv:2509.01707.

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

pith.paper-citation-record.v1
2509.01707 v1

Coverage vector

measured 59 of 59 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:24:52.877994Z

measured 59 of 59 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

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Source: cited_works

Reference resolution

59 of 59 outbound references displayed

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  • verified fuzzy45
  • unresolved10
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5b1ac65c-7199-4539-ad1b-364c971d5adc · outbound

This paper cites Angenent, and Yoshikazu Giga.

Regularity of cylindrical singular sets of mean curvature flow Angenent, and Yoshikazu Giga

Reference 1

Resolution
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Observation 5b837df8-7344-4c8d-ad7d-112fc8eab3ac · outbound

This paper cites Unique asymptotics of ancient convex mean curvature flow solutions.

Regularity of cylindrical singular sets of mean curvature flow Unique asymptotics of ancient convex mean curvature flow solutions

Reference 2

Resolution
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Observation 8bb87906-0f78-4517-a6e5-a162d980e033 · outbound

This paper cites an unresolved cited work.

Regularity of cylindrical singular sets of mean curvature flow Unresolved cited work

Reference 3

Resolution
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Observation 5481c167-2f68-4cb7-b1dc-cadf366e650a · outbound

This paper cites Noncollapsing in mean-convex mean curvature flow.

Regularity of cylindrical singular sets of mean curvature flow Noncollapsing in mean-convex mean curvature flow

Reference 4

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Observation e6fc2ade-5717-4fc5-906e-813e18b79ef3 · outbound

This paper cites an unresolved cited work.

Regularity of cylindrical singular sets of mean curvature flow Unresolved cited work

Reference 5

Resolution
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 7277ee36-8859-4643-a14d-91977d51d340 · outbound

This paper cites On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces.

Regularity of cylindrical singular sets of mean curvature flow On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces

Reference 6

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 958b197f-812f-412a-9574-a623870e5fd0 · outbound

This paper cites an unresolved cited work.

Regularity of cylindrical singular sets of mean curvature flow Unresolved cited work

Reference 7

Resolution
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 3311d255-377d-469f-80ee-56d10e559cfa · outbound

This paper cites Embedded self-similar shrinkers of genus 0.

Regularity of cylindrical singular sets of mean curvature flow Embedded self-similar shrinkers of genus 0

Reference 8

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:45.304685Z digest=sha256:3358bc8a590aba4c8d3ce54beeb67403fa0d253e8516b5c9ce4b8868ef1e5b11

Observation 45108e1a-aa50-4e18-8849-1f13a1e5c9ae · outbound

This paper cites Mean curvature flow with generic initial data.

Regularity of cylindrical singular sets of mean curvature flow Mean curvature flow with generic initial data

Reference 9

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation b6159a16-6fc0-4493-a899-923fb2405c6e · outbound

This paper cites Mean curvature flow with generic low-entropy initial data II.

Regularity of cylindrical singular sets of mean curvature flow Mean curvature flow with generic low-entropy initial data II

Reference 10

Resolution
verified exact
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation e821dc09-ef63-44f6-ad43-6172bb26041d · outbound

This paper cites Ancient low-entropy flows, mean-convex neighborhoods, and uniqueness.

Regularity of cylindrical singular sets of mean curvature flow Ancient low-entropy flows, mean-convex neighborhoods, and uniqueness

Reference 11

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 69cc319d-06f0-4f40-bb03-bbe1528e7190 · outbound

This paper cites Ancient asymptotically cylindrical flows and applications.

Regularity of cylindrical singular sets of mean curvature flow Ancient asymptotically cylindrical flows and applications

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:45.867109Z digest=sha256:e34a9c710cf20a4e8501dec033fdfbd8d05ece57851dc3cd62ec80e1fdbee37a

Observation bdb59b4d-0b33-43e3-8fad-cb060f407fe7 · outbound

This paper cites Quantitative stratification and the regularity of mean curvature flow.

Regularity of cylindrical singular sets of mean curvature flow Quantitative stratification and the regularity of mean curvature flow

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 770a31f0-f438-4282-8fbe-6e6e76f1e7bc · outbound

This paper cites Rigidity of generic singularities of mean curvature flow.

Regularity of cylindrical singular sets of mean curvature flow Rigidity of generic singularities of mean curvature flow

Reference 14

Resolution
verified fuzzy
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Observation 9da26a47-62eb-4767-8a19-4c0352e0d70b · outbound

This paper cites Colding and William P.

Regularity of cylindrical singular sets of mean curvature flow Colding and William P

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation ce2a7bb6-de10-4218-8867-6e8bc9ff1caf · outbound

This paper cites Minicozzi, II.

Regularity of cylindrical singular sets of mean curvature flow Minicozzi, II

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation a85b41ac-2b1a-441a-81f5-b1397b8e9cff · outbound

This paper cites Minicozzi, II.

Regularity of cylindrical singular sets of mean curvature flow Minicozzi, II

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 2bae5d0d-dcf2-48c0-a8ef-5185fc9134b6 · outbound

This paper cites Minicozzi, II.

Regularity of cylindrical singular sets of mean curvature flow Minicozzi, II

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation c8d90f66-e3f2-4cc1-ae00-203bf61c212e · outbound

This paper cites Minicozzi, II.

Regularity of cylindrical singular sets of mean curvature flow Minicozzi, II

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:46.800976Z digest=sha256:69dcd7a4fcd71eb6cc2a4e610f7ebb4931d05a5faa1c76617c47f371e2272798

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

This paper cites Quantitative uniqueness for mean curvature flow.

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 94c97e88-cf81-4acb-b50a-f430c5a1323b · outbound

This paper cites Minicozzi, II, and Erik Kj r Pedersen.

Regularity of cylindrical singular sets of mean curvature flow Minicozzi, II, and Erik Kj r Pedersen

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 858995a9-18f2-4b9c-9fd5-6ea3f5f0518a · outbound

This paper cites Spectral quantization for ancient asymptotically cylindrical flows.

Regularity of cylindrical singular sets of mean curvature flow Spectral quantization for ancient asymptotically cylindrical flows

Reference 22

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation dd8ebf4b-0194-4568-9dea-8be56b5a73ec · outbound

This paper cites an unresolved cited work.

Regularity of cylindrical singular sets of mean curvature flow Unresolved cited work

Reference 23

Resolution
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 9ee27548-241d-44e0-9131-c31cfdde35a9 · outbound

This paper cites The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension.

Regularity of cylindrical singular sets of mean curvature flow The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension

Reference 24

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 55a994af-bd22-4ed1-9db2-6c32a48f2acb · outbound

This paper cites Extension of C^ m, -smooth functions by linear operators.

Regularity of cylindrical singular sets of mean curvature flow Extension of C^ m, -smooth functions by linear operators

Reference 25

Resolution
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 53535ac8-304b-4dbf-99a8-cf9ec3f898cf · outbound

This paper cites Volume estimates for the singular sets of mean curvature flows.

Regularity of cylindrical singular sets of mean curvature flow Volume estimates for the singular sets of mean curvature flows

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-05T12:24:47.928037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T12:24:47.928037Z digest=sha256:8adf852be54c6f08b42f88e3afe56d7d7d35c4f1bc8a02b60424feed0e541fa6

Observation a46b74e6-98ea-42e6-9603-df80fcff98a2 · outbound

This paper cites Generic regularity of free boundaries for the obstacle problem.

Regularity of cylindrical singular sets of mean curvature flow Generic regularity of free boundaries for the obstacle problem

Reference 27

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation ac615654-84a7-4f28-baca-f20ac658ed18 · outbound

This paper cites On the fine structure of the free boundary for the classical obstacle problem.

Regularity of cylindrical singular sets of mean curvature flow On the fine structure of the free boundary for the classical obstacle problem

Reference 28

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:48.103170Z digest=sha256:58ae87c38672bdc5135a6e236a7f79cc6bdea93b3b59aee7ca551e691e3c5913

Observation 7743a8a5-ca1b-4ee0-abef-1b9472101f72 · outbound

This paper cites C^ partial regularity of the singular set in the obstacle problem.

Regularity of cylindrical singular sets of mean curvature flow C^ partial regularity of the singular set in the obstacle problem

Reference 29

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation f18a51ba-4fb4-41cb-b51b-ebb2886af006 · outbound

This paper cites On the mean convexity of a space-and-time neighborhood of generic singularities formed by mean curvature flow.

Regularity of cylindrical singular sets of mean curvature flow On the mean convexity of a space-and-time neighborhood of generic singularities formed by mean curvature flow

Reference 30

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:48.431244Z digest=sha256:6125a69348e769fc37eb05d45780e300e86acf0714ce0c0b019a058af77f0e1c

Observation 40afadee-6c04-472a-be0c-c2f141693562 · outbound

This paper cites On the dynamics of formation of generic singularities of mean curvature flow.

Regularity of cylindrical singular sets of mean curvature flow On the dynamics of formation of generic singularities of mean curvature flow

Reference 31

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:48.569279Z digest=sha256:8d198383f17da4ed1e6b8965128416ee243fc6085f70f6a26cba0953ffb31763

Observation 43fa1759-c0c2-420d-8ccf-5cfea557d45c · outbound

This paper cites Mean curvature flow of mean convex hypersurfaces.

Regularity of cylindrical singular sets of mean curvature flow Mean curvature flow of mean convex hypersurfaces

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:58.963754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:48.711404Z digest=sha256:497d2e421ce7f1bb69ec2b9ec1ee5e44f4f1c87ddef413c4a277528fdbf276e7

Observation 8a56aa98-ad56-475d-9dd2-5af3258d6703 · outbound

This paper cites Convexity estimates for mean curvature flow and singularities of mean convex surfaces.

Regularity of cylindrical singular sets of mean curvature flow Convexity estimates for mean curvature flow and singularities of mean convex surfaces

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:58.761077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:48.871981Z digest=sha256:3e8d017b14e31a65bfc41211ba03179341c292a6a9ad8ed3aa126e801103653a

Observation e8a7f74a-b735-41c0-b329-45e19e71c7bb · outbound

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

Regularity of cylindrical singular sets of mean curvature flow Asymptotic behavior for singularities of the mean curvature flow

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:58.562240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:49.041238Z digest=sha256:ab29ad8eeb4143c530437db2a54a12a1ce31963851166e6973d401d19a83a6c4

Observation 517e1e10-2059-4042-8b48-1b3912107aa0 · outbound

This paper cites Local and global behaviour of hypersurfaces moving by mean curvature.

Regularity of cylindrical singular sets of mean curvature flow Local and global behaviour of hypersurfaces moving by mean curvature

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:58.347220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:49.204583Z digest=sha256:ad1339ed4059a2d9738cb5f28682d78a4de851684eaf1c938982624b7bc4d108

Observation 92863d72-be77-4a8a-899b-f61629dd189b · outbound

This paper cites Generalized flow of sets by mean curvature on a manifold.

Regularity of cylindrical singular sets of mean curvature flow Generalized flow of sets by mean curvature on a manifold

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:58.165211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:49.447790Z digest=sha256:50b76e081fbe37fb071789ac86efcdf3745fbf1dfe94e45c939126e34ad44bd1

Observation f6c70e5e-ac43-4d31-b60e-36f517a77fde · outbound

This paper cites Elliptic regularization and partial regularity for motion by mean curvature , volume 520.

Regularity of cylindrical singular sets of mean curvature flow Elliptic regularization and partial regularity for motion by mean curvature , volume 520

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:57.967632Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:49.615140Z digest=sha256:96493cc7987587a9e197bf7738243146fd70a73d1a92410d602c73d7d7ddcd2a

Observation 12e4dde7-5c80-44c8-9ced-3a001dd2e2d7 · outbound

This paper cites Sharp lower bounds on density for area-minimizing cones.

Regularity of cylindrical singular sets of mean curvature flow Sharp lower bounds on density for area-minimizing cones

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:57.738434Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:49.734052Z digest=sha256:1da47e2925dfef8a3d67e14a59f459201101c3e4e068d6d4e215aa88547449c3

Observation be7947b1-f4d9-410d-9b29-ebfc84165c0c · outbound

This paper cites Lieberman.

Regularity of cylindrical singular sets of mean curvature flow Lieberman

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:57.498987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:49.843465Z digest=sha256:897103f7425b5f9ad240d2abe3e0ffcc73c1a240b3a87f4f982dd7a099368e78

Observation dfc97d58-636f-4e20-b8c1-6a318159dc5e · outbound

This paper cites On degenerate blow-up profiles for the subcritical semilinear heat equation.

Regularity of cylindrical singular sets of mean curvature flow On degenerate blow-up profiles for the subcritical semilinear heat equation

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-05T12:24:53.517109Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:49.969767Z digest=sha256:7453d8edd11c157af6e1b95c47e8e5992a946173595d123248608df71faeaa1d

Observation 266c3fbb-1c78-4e99-aa7b-b16b2625a872 · outbound

This paper cites Rate of convergence of the mean curvature flow.

Regularity of cylindrical singular sets of mean curvature flow Rate of convergence of the mean curvature flow

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:57.267522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:50.171713Z digest=sha256:86b508bcf405c1f1ee32d68e0d8771c045080b12649fa77129e38c068475206f

Observation f0787b82-c605-427a-a3aa-95ce6a4e35e5 · outbound

This paper cites Cylindrical tangent cones and the singular set of minimal submanifolds.

Regularity of cylindrical singular sets of mean curvature flow Cylindrical tangent cones and the singular set of minimal submanifolds

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:57.014539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:50.345904Z digest=sha256:6150567bf11651ee122f53d7fdbe5c343de3d63b6bca2875310990830f8a3ecf

Observation 1bfdf9e8-69a8-42bf-a066-5b73f79255a5 · outbound

This paper cites Asymptotics for the level set equation near a maximum.

Regularity of cylindrical singular sets of mean curvature flow Asymptotics for the level set equation near a maximum

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:56.779292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:50.470592Z digest=sha256:382cd9fddce1d27b99494d27349f8a11993d4db4a76d2aed9ec29f04879a7ba3

Observation e27c623f-aa08-44de-8d37-6b8fff113126 · outbound

This paper cites Singularity profile in the mean curvature flow.

Regularity of cylindrical singular sets of mean curvature flow Singularity profile in the mean curvature flow

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:56.564752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:50.567607Z digest=sha256:a4a21d8e7f53e35706f53d6a12cca1f9d031f571a7c4fdcdce3a5f600eb220a3

Observation 8ba76acd-1489-4c1b-a2eb-bd655f12fd14 · outbound

This paper cites Passing through nondegenerate singularities in mean curvature flows.

Regularity of cylindrical singular sets of mean curvature flow Passing through nondegenerate singularities in mean curvature flows

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-05T12:24:50.714661Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T12:24:50.714661Z digest=sha256:dbb1a0ac741970f6ac92aa8795379b8f1f553514759dba60582ba61b924b6b05

Observation c403d372-fbc9-4dc9-a91c-17b9bc7f787d · outbound

This paper cites Multiplicity one for min-max theory in compact manifolds with boundary and its applications.

Regularity of cylindrical singular sets of mean curvature flow Multiplicity one for min-max theory in compact manifolds with boundary and its applications

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:56.338482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:50.921913Z digest=sha256:7a0c2f538410b18b26d730b6bb172af3bf35c9075c3979e1e03ccfd7dc1b1b0c

Observation 14ae53d5-4b43-4517-a4d9-4b285c90cb77 · outbound

This paper cites Initial Perturbation of the Mean Curvature Flow for closed limit shrinker.

Regularity of cylindrical singular sets of mean curvature flow Initial Perturbation of the Mean Curvature Flow for closed limit shrinker

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-05T12:24:51.077355Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T12:24:51.077355Z digest=sha256:a9fa635c4bb67c4dd537a2b7b7fd48cd001fa8f23af35f7468812f906cb4e750

Observation bd9c8d01-7ad8-40b5-944c-d8bdebf32405 · outbound

This paper cites Generic Dynamics of Mean Curvature Flows with Asymptotically Conical Singularities.

Regularity of cylindrical singular sets of mean curvature flow Generic Dynamics of Mean Curvature Flows with Asymptotically Conical Singularities

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-05T12:24:53.274321Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:51.226377Z digest=sha256:e09b2eeb1483cb910b6cb3128060513ec528bb4626ac6c94cd3bf43f7fca5e53

Observation 80ac02b2-fb0b-42be-891b-3655a5887f4c · outbound

This paper cites Generic mean curvature flows with cylindrical singularities I: the normal forms and nondegeneracy.

Regularity of cylindrical singular sets of mean curvature flow Generic mean curvature flows with cylindrical singularities I: the normal forms and nondegeneracy

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-05T12:24:51.372498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T12:24:51.372498Z digest=sha256:f5e4f409580ecca3ad36e31268578bc437e8b52aabcb8da1cdf343da183a6725

Observation 6f4b1611-3f63-4a9b-b41f-b7f1fae157bf · outbound

This paper cites The topology of hypersurfaces moving by mean curvature.

Regularity of cylindrical singular sets of mean curvature flow The topology of hypersurfaces moving by mean curvature

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:56.070283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:51.529617Z digest=sha256:a2e518ad7069118010a18e2179856d85e1c74a825121621f2f2fb70a86e85b73

Observation a92c8e3e-b22c-46b7-9cb5-10c6d398783a · outbound

This paper cites Stratification of minimal surfaces, mean curvature flows, and harmonic maps.

Regularity of cylindrical singular sets of mean curvature flow Stratification of minimal surfaces, mean curvature flows, and harmonic maps

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:55.920327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:51.683003Z digest=sha256:3058a059fe5dd1cceaa5f413259694a84c7c6fa4c74e2065f93304dbe67bbdb2

Observation 9c6331ae-de56-4dd7-92b9-18aff4c78525 · outbound

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

Regularity of cylindrical singular sets of mean curvature flow The size of the singular set in mean curvature flow of mean-convex sets

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:55.709188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:51.847390Z digest=sha256:1b1d19eaa807a610ff79592d2089ecba03d344daf3bf806dd81bae1b4ac4c375

Observation 4e470834-e72d-4e5a-8d3e-2ff8dfbee859 · outbound

This paper cites Evolution of curves and surfaces by mean curvature.

Regularity of cylindrical singular sets of mean curvature flow Evolution of curves and surfaces by mean curvature

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:55.528121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:52.059181Z digest=sha256:b0ffb5a03b569a09471e4f01568981db7dc607dda8ef561da7c9fdb436c080a1

Observation 1f5d20fa-1cb9-455e-9ca8-04d1635f8ddf · outbound

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

Regularity of cylindrical singular sets of mean curvature flow The nature of singularities in mean curvature flow of mean-convex sets

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:55.393664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:52.168554Z digest=sha256:6f5b8e70045fe34f4b879d2041365260e8962d7c37357f8b71ebca22ab4fce21

Observation 4682d362-29eb-487f-be75-6b27a1a8c25b · outbound

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

Regularity of cylindrical singular sets of mean curvature flow A local regularity theorem for mean curvature flow

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:55.273265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:52.267842Z digest=sha256:4b09db6ccb6148141d6587aef97dd54b1f448e0577adb27e135bfecc16fb41da

Observation 8fbf9985-945f-40a1-9aa8-17aaf3eadf8e · outbound

This paper cites Subsequent singularities in mean-convex mean curvature flow.

Regularity of cylindrical singular sets of mean curvature flow Subsequent singularities in mean-convex mean curvature flow

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:55.140805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:52.417095Z digest=sha256:baa3f21cd4716088329e30ee803276bb8616110bbc97c706c7258a1a815fad4e

Observation 27bb5121-f538-4cc8-a502-0c6f0ecb8bcd · outbound

This paper cites On the regularity of the blow-up set for semilinear heat equations.

Regularity of cylindrical singular sets of mean curvature flow On the regularity of the blow-up set for semilinear heat equations

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:54.929179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:52.578521Z digest=sha256:878c92eb1e46bec023b589088c9309f213431d1397b2af66a8018df457146ce0

Observation aa554310-90cf-40e7-951e-ed3c930c145e · outbound

This paper cites One-dimensional behavior of singular N -dimensional solutions of semilinear heat equations.

Regularity of cylindrical singular sets of mean curvature flow One-dimensional behavior of singular N -dimensional solutions of semilinear heat equations

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:54.749349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:52.736724Z digest=sha256:43300439d1fcf9e292258a807b0435d985f94d07a79632ce036568321ee05685

Observation bcc95764-ba06-4d62-b624-c128328d5078 · outbound

This paper cites Determination of the curvature of the blow-up set and refined singular behavior for a semilinear heat equation.

Regularity of cylindrical singular sets of mean curvature flow Determination of the curvature of the blow-up set and refined singular behavior for a semilinear heat equation

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:24:54.491001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T12:24:52.877994Z digest=sha256:bb2094a55a6223dc340a63419295ec64a4394977cfc24c35aadf1e9a07afd140

Pith citing papers

No inbound Pith citation observations are available.