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Paper Citation Record · LEDGER

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one

As of 21 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2412.08867.

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

pith.paper-citation-record.v1
2412.08867 v1

Coverage vector

measured 37 of 37 reference resolution

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measured 37 of 37 standing notices

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

37 of 37 outbound references displayed

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External citation measurements

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Outbound references

Observation 2bc655f9-748c-4580-a0c3-020c9cd55862 · outbound

This paper cites Differential Geom.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Differential Geom

Reference 1

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Observation 886b89b6-1686-4e3a-8f5b-01989cbff912 · outbound

This paper cites an unresolved cited work.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Unresolved cited work

Reference 2

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Observation c0a18c4d-fc05-4798-bd91-3e6aa3cc3f26 · outbound

This paper cites an unresolved cited work.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Unresolved cited work

Reference 3

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Observation b0b484e3-4ee2-49ce-9388-745366662af7 · outbound

This paper cites an unresolved cited work.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Unresolved cited work

Reference 4

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Observation ba188e98-0408-409a-83b4-e25c6cd0a002 · outbound

This paper cites N., Scheuer, J., On the classification of ancien t solutions to curvature flows on the sphere, Ann.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one N., Scheuer, J., On the classification of ancien t solutions to curvature flows on the sphere, Ann

Reference 5

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Observation f4961a7c-2332-43d7-9924-ece6b29c07be · outbound

This paper cites an unresolved cited work.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Unresolved cited work

Reference 6

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Observation 2e05105a-01db-4517-9c81-1479ba6148e8 · outbound

This paper cites Differential Geom.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Differential Geom

Reference 7

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Observation cae6913f-c47b-4253-af2b-5bc5ad1b2986 · outbound

This paper cites Ancient mean curvature flows and their spacetime tracks.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Ancient mean curvature flows and their spacetime tracks

Reference 8

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 843accc2-a22c-4233-8fef-eceabcbab821 · outbound

This paper cites an unresolved cited work.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Unresolved cited work

Reference 9

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Observation d2e0820e-b4e9-4ea6-8b43-0e21e591069b · outbound

This paper cites A nonexistence result for wing-like mean curvature flows in $\mathbb{R}^4$.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one A nonexistence result for wing-like mean curvature flows in $\mathbb{R}^4$

Reference 10

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local_arxiv, observed 2026-08-11T17:37:14.269615Z

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Observation ef19f38b-3a3a-4789-9a2d-c5bf991ff155 · outbound

This paper cites C., Schulze, F., Stability of tran slating solutions to mean curvature flow, Calc.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one C., Schulze, F., Stability of tran slating solutions to mean curvature flow, Calc

Reference 11

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Observation cabb0ae7-6379-4872-8c6a-bcbaf06ebd77 · outbound

This paper cites The blowdown of ancient noncollapsed mean curvature flows.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one The blowdown of ancient noncollapsed mean curvature flows

Reference 12

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local_arxiv, observed 2026-08-11T17:37:14.256487Z

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Observation 9359851b-2f29-4c12-9b32-0d833b980640 · outbound

This paper cites Reine Angew.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Reine Angew

Reference 13

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Observation ee826ada-0a98-451d-9086-073990325bca · outbound

This paper cites Pure Appl.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Pure Appl

Reference 14

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Observation 7f9a1af4-ee1d-4e9b-bdf3-44a84b44802e · outbound

This paper cites Differential Geom.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Differential Geom

Reference 15

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Observation 95de4531-3a62-4f1a-aaaa-5313d8262c80 · outbound

This paper cites an unresolved cited work.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Unresolved cited work

Reference 16

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Observation 9e5fdc43-2d68-46ca-9562-a448d237dfc5 · outbound

This paper cites an unresolved cited work.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Unresolved cited work

Reference 17

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Observation 8740396f-31af-4395-ae99-d2b0e1f9e9d7 · outbound

This paper cites Differential Geom.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Differential Geom

Reference 18

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Observation 3d94465d-78e2-4074-8a7a-c14384b3a27b · outbound

This paper cites an unresolved cited work.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Unresolved cited work

Reference 19

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Observation 3013580f-cc90-483b-828b-87d16c10cd42 · outbound

This paper cites 183 (1999), no.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one 183 (1999), no

Reference 20

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Observation b955977f-febc-4ab6-96a2-4cd62e28bc57 · outbound

This paper cites Differential Geom.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Differential Geom

Reference 21

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Observation 3c30eb53-53bb-4945-8096-f938671018db · outbound

This paper cites an unresolved cited work.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Unresolved cited work

Reference 22

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Observation 717065ce-03e8-4aa4-a7ef-d710e7e4be01 · outbound

This paper cites an unresolved cited work.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Unresolved cited work

Reference 23

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Observation b0c490c7-1447-4f61-8dcc-b0d34708bf38 · outbound

This paper cites an unresolved cited work.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Unresolved cited work

Reference 24

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Observation 0bf81fec-e839-44e0-aa10-67d6e274d5dd · outbound

This paper cites an unresolved cited work.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Unresolved cited work

Reference 25

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Observation a76343a8-7f2b-4442-a288-e450bbf754d6 · outbound

This paper cites Sharp one-sided curvature estimates for mean curvature flow and applications.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Sharp one-sided curvature estimates for mean curvature flow and applications

Reference 26

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Observation d0f7b54c-19e0-4983-95bf-c9fb487bedb9 · outbound

This paper cites an unresolved cited work.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Unresolved cited work

Reference 27

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Observation abebfabe-e48a-48e2-b73b-02e64b889fb5 · outbound

This paper cites T., Pinched ancient solutions to the high co dimension mean curvature flow.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one T., Pinched ancient solutions to the high co dimension mean curvature flow

Reference 28

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Observation 030bd007-8aa1-4edd-8a12-7c74e6e7fa33 · outbound

This paper cites 156(1986), 153–201.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one 156(1986), 153–201

Reference 29

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Observation 7b425f38-39bb-4f18-a9a4-69d7152149fc · outbound

This paper cites an unresolved cited work.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Unresolved cited work

Reference 30

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation b9193ffb-7e3d-4373-8c34-5ae5982d9ac9 · outbound

This paper cites B., Rigidity of complete ancient solutions to the mean curva ture flow, to appear in Math- ematical Research Letters.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one B., Rigidity of complete ancient solutions to the mean curva ture flow, to appear in Math- ematical Research Letters

Reference 31

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Observation 1b912a7f-1d33-4172-8be7-663669d1fa49 · outbound

This paper cites Curvature estimates of ancient solutions to the mean curvature flow of higher codimension with convex Gauss image.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Curvature estimates of ancient solutions to the mean curvature flow of higher codimension with convex Gauss image

Reference 32

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 60b89d5d-9e3c-4986-bbe3-16d83b6bae28 · outbound

This paper cites an unresolved cited work.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Unresolved cited work

Reference 33

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation e927bae9-c228-42c9-8f37-b2268e4b5a82 · outbound

This paper cites S., Sharp gradient estimate and Yau’s Liou ville theorem for the heat equation on noncompact manifolds, Bull.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one S., Sharp gradient estimate and Yau’s Liou ville theorem for the heat equation on noncompact manifolds, Bull

Reference 34

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 07b89b84-7b00-4d06-833a-eaf74af8e68e · outbound

This paper cites an unresolved cited work.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Unresolved cited work

Reference 35

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 568184be-c6c5-4f99-80b5-f8e212364f40 · outbound

This paper cites an unresolved cited work.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Unresolved cited work

Reference 36

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unresolved
raw_fallback, observed 2026-08-11T17:37:14.299708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T17:37:14.191290Z digest=sha256:f43518b9403ad5663da0c3b46b35a764d00bdd484e170dacd8793db3f89bba61

Observation 3a4e3fd3-00b0-48ee-ba42-39030027a201 · outbound

This paper cites an unresolved cited work.

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-11T17:37:14.289272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T17:37:14.194735Z digest=sha256:d9807e878f3a2e5db0e871727cc5820290a50825237cd38a406dac31139fa41c

Pith citing papers

No inbound Pith citation observations are available.