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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.

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

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=sha256:7f7fb1155b41f3408e979329d22532afdc6c67b62b1ff91b4268d79a810afdf8

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.

source=arxiv_source observed=2026-08-14T04:58:59.742371Z digest=sha256:2e6c6223c55f6f11e9c4b40d6033201ea805b8a5c689c3b4c30c5ea1b5be3b0f

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.

source=arxiv_source observed=2026-08-14T04:58:59.753129Z digest=sha256:55280aad6da97a8135710e9c2d03c92a11710c8770d6d4bef8c95be2e4f0d029

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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unresolved
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:f06dd5ce8f49539f8a1cc2d0eb6c9c385d9dadff528e0d71b3ca70b56d9a5524

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
unresolved
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=sha256:00e5e87eb7ea067c523eff00efcaa016d165220ab4e3cbcda6776f3df82d2b50

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=sha256:4d8bb8003ceb0f7165447713a439c736b326cc86290454fcc8f46768668541ea

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.

source=arxiv_source observed=2026-08-14T04:58:59.786905Z digest=sha256:04462591feef095074f2cbade649c44de0c4a3430f6da91b522116caa30987e5

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=sha256:1305ab3cd69121a0fcea764e47bf2aea86328c101f048b8d91e0d23c7b72365b

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:c2f529eda8af5aa983bd32da989bff57e5d2a27f969034373075b63e3a80e440

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.

source=arxiv_source observed=2026-08-14T04:58:59.802709Z digest=sha256:9913c1cf0fd48de11196ba501f5fd21c67f6b9c191fd3e3292b3670d80d4fdac

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=sha256:77909f8ce1e3f6ad01577eadc09be419bfc32b314953b53f8c3480a4c2ea8599

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=sha256:704b6706c2f4647770192b091437e748444d62102780f99fc7360e7bdcf8b5cc

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=sha256:0d18c126850839068560f8d678503b7b7fc6798dc6f0cd443c00d48d69eb77af

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

Resolution
verified fuzzy
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=sha256:5af9134292c68ee4f74fde1b5f5d27e0b264caa45558c4af5d5ceb7d2bb136c2

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:e7517289b64d2d4ac77ccd4574b1749cb83b274ead3be88d7f6f1d62f86f15cb

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.

source=arxiv_source observed=2026-08-14T04:58:59.832497Z digest=sha256:2494ef70684e2f107c2d53898b6e129bd8ae1f5846dfafc12d5613843d175078

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.

source=arxiv_source observed=2026-08-14T04:58:59.837912Z digest=sha256:51344d05a8e57d274a9907eed88796714ec8bbf0ca70d59a66f5d56d50ddf75c

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

Resolution
verified fuzzy
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=sha256:6bc24c01a948459376e6dc265e7ca39a29b3219bf5e0da4323a1e040850293af

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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Pith citing papers

No inbound Pith citation observations are available.