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Paper Citation Record · LEDGER

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$

As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1909.02535.

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

pith.paper-citation-record.v1
1909.02535 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:58:59.848525Z

measured 22 of 22 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation afa80780-84f1-4d76-8810-0f89da463ff4 · outbound

This paper cites The zoo of solitons for curve shortening in ^n.

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ The zoo of solitons for curve shortening in ^n

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:59:00.265181Z

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=2026-08-14T04:58:59.736660Z digest=sha256:7f5827de0e63ff9443dfc484e27993e1af91545232ac03e3d8845db422de1043

Observation 5470c745-4b09-4156-b25f-d7f59eb7863f · outbound

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

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Unique asymptotics of ancient convex mean curvature flow solutions

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-14T04:58:59.742371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 790984ab-8846-4257-8add-481bba2cef4d · outbound

This paper cites Uniqueness of convex ancient solutions to mean curvature flow in R^3.

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Uniqueness of convex ancient solutions to mean curvature flow in R^3

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:59:00.235595Z

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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Observation 7f0bbda5-30c6-4793-a0d6-0afca423ea33 · outbound

This paper cites Sharp Entropy Bounds for Plane Curves and Dynamics of the Curve Shortening Flow.

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Sharp Entropy Bounds for Plane Curves and Dynamics of the Curve Shortening Flow

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:58:59.989513Z

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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Observation d8ccdacc-cfcb-4597-b1c6-7a0975214b5e · outbound

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

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Ancient low entropy flows, mean convex neighborhoods, and uniqueness

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:58:59.966109Z

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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Observation b9820ca3-fcd4-4ceb-856f-7846454dda4b · outbound

This paper cites an unresolved cited work.

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Unresolved cited work

Reference 6

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raw_fallback, observed 2026-08-14T04:59:00.218412Z

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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Observation d51dd457-0c5d-4635-aefa-5ef42e204c48 · outbound

This paper cites Colding and William P.

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Colding and William P

Reference 7

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unresolved
no resolver link, observed 2026-08-14T04:58:59.770224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T04:58:59.770224Z digest=sha256:8837cc3e03ed5d14f0d1c514c4da3e913202d9903a8646e43a8d0d8e85359981

Observation 81c9a5d8-62e7-4520-80d0-f373ffd6de3d · outbound

This paper cites Minicozzi, II.

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Minicozzi, II

Reference 8

Resolution
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no resolver link, observed 2026-08-14T04:58:59.776048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T04:58:59.776048Z digest=sha256:b36040d64b45ebdb94561f5de705347c665e50efeed6bd53cbc3418ff1d2f541

Observation 04151e4c-75b4-4c89-9764-59fb82ddb1a0 · outbound

This paper cites Ancient gradient flows of elliptic functionals and Morse index.

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Ancient gradient flows of elliptic functionals and Morse index

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:58:59.942700Z

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=2026-08-14T04:58:59.780595Z digest=sha256:d0489db2484670945c41a9a61dbba53fe0bf25b59e37917e5bbbaf679dc47602

Observation b1fd1965-3b36-44de-b5ab-8ee439d01be6 · outbound

This paper cites Complexity of parabolic systems.

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Complexity of parabolic systems

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:58:59.918373Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 10c2d0a9-f435-405d-b99b-faad335f3302 · outbound

This paper cites Regularity of elliptic and parabolic systems.

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Regularity of elliptic and parabolic systems

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:58:59.894943Z

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=2026-08-14T04:58:59.792268Z digest=sha256:d373264127fa56cb64b3562ce3f91a790b490a888e8e2bcbdcb90d7cc91ff4b5

Observation a27dc12f-ded3-437f-8611-9031c7684717 · outbound

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

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Minicozzi, II, and Erik Kj r Pedersen

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-14T04:58:59.797392Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T04:58:59.797392Z digest=sha256:50aa0fbc6a5c3272cbe5ed4e4bf85ca195503eaf72f65a3d5fa8729950e79146

Observation 6141927e-a998-453b-b4e4-8548c14b482e · outbound

This paper cites Regularity theory for mean curvature flow , volume 57 of Progress in Nonlinear Differential Equations and their Applications.

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Regularity theory for mean curvature flow , volume 57 of Progress in Nonlinear Differential Equations and their Applications

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:59:00.169055Z

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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Observation d82036f6-0680-4396-8efd-9d342672f3f0 · outbound

This paper cites Ancient solutions of the mean curvature flow.

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Ancient solutions of the mean curvature flow

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:59:00.151944Z

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=2026-08-14T04:58:59.807955Z digest=sha256:adfec755f03036fe70cf32803b306f0e27e59e1fb482641b6018f16e19190e89

Observation f6f50a3c-a9ed-4510-8112-f32ae4c5b170 · outbound

This paper cites Convex ancient solutions of the mean curvature flow.

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Convex ancient solutions of the mean curvature flow

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:59:00.135722Z

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=2026-08-14T04:58:59.812851Z digest=sha256:e7717cbd22cf2bdd1a30be6619b4d668d6e95edcb5deca105a68da3f54f37b79

Observation 292b6571-f34f-45d7-bf65-f87d9a67a869 · outbound

This paper cites Hamiltonian stationary cones and self-similar solutions in higher dimension.

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Hamiltonian stationary cones and self-similar solutions in higher dimension

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:59:00.118183Z

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=2026-08-14T04:58:59.817442Z digest=sha256:bc7973efed13f3e52e317bc4b200469d121020ccb024e35bf658ac4886ddbbb3

Observation 29c09453-f2e8-4ece-b118-addf285a080d · outbound

This paper cites Mean curvature flow in higher codimension: introduction and survey.

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Mean curvature flow in higher codimension: introduction and survey

Reference 17

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raw_fallback, observed 2026-08-14T04:59:00.099465Z

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=2026-08-14T04:58:59.822122Z digest=sha256:9087d89de17c931f4985eaa2bd4cfe4ba242b6be58f0a0322f94fa0b511b14a4

Observation 8a4e8dc6-f9b8-4037-9b30-bd1b510ee054 · outbound

This paper cites Long-time existence and convergence of graphic mean curvature flow in arbitrary codimension.

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Long-time existence and convergence of graphic mean curvature flow in arbitrary codimension

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:59:00.078869Z

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=2026-08-14T04:58:59.826901Z digest=sha256:59110912bec718ba9a17fa125bbaad7fb85a3bca55a1d4d6b462b9e9dd040c0d

Observation 70b8ffbb-7da8-42ab-a914-1e088042c104 · outbound

This paper cites Convex solutions to the mean curvature flow.

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Convex solutions to the mean curvature flow

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:59:00.059626Z

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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Observation 83dd96b4-394c-4aa6-b953-437c6c70827d · outbound

This paper cites Uniqueness of self-similar shrinkers with asymptotically conical ends.

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Uniqueness of self-similar shrinkers with asymptotically conical ends

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:59:00.040424Z

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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Observation 361baef4-51b5-4151-976f-1751d5c516d6 · outbound

This paper cites Uniqueness of self-similar shrinkers with asymptotically cylindrical ends.

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Uniqueness of self-similar shrinkers with asymptotically cylindrical ends

Reference 21

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raw_fallback, observed 2026-08-14T04:59:00.020216Z

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=2026-08-14T04:58:59.842926Z digest=sha256:82c8262ac77727bd1da8c2a8824bf0d1607fd5dc99fd9ff04573ed2d2bdeef0c

Observation ab7a9d82-b750-4dc1-8913-ed696752db36 · outbound

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

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ Evolution of curves and surfaces by mean curvature

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-14T04:58:59.848525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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No inbound Pith citation observations are available.