Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T17:37:14.194735Z
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.
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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
37 of 37 outbound references displayed
- verified exact4
- verified fuzzy14
- unresolved19
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T17:37:14.592977Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T17:37:14.583712Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T17:37:14.564661Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T17:37:14.544929Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T17:37:14.534847Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T17:37:14.097139Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T17:37:14.524566Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T17:37:14.269615Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T17:37:14.515112Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T17:37:14.256487Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T17:37:14.505043Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T17:37:14.495204Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T17:37:14.485725Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T17:37:14.466307Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T17:37:14.456814Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T17:37:14.446112Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T17:37:14.436720Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T17:37:14.427495Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T17:37:14.418111Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T17:37:14.399807Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T17:37:14.390328Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T17:37:14.243255Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T17:37:14.381014Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T17:37:14.370910Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T17:37:14.360999Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T17:37:14.351474Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T17:37:14.341039Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T17:37:14.228724Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T17:37:14.330560Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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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- raw_fallback, observed 2026-08-11T17:37:14.320602Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T17:37:14.310054Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
- Resolution
- 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 2026-08-20T06:33:59.587034+00:00.
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 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
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