Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T15:56:41.755303Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 4 inbound Pith citation observations for arXiv:2412.10581.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T15:56:41.755303Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-12T12:23:29.151011Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T19:18:54.771255Z
57 of 57 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 2e350d94-63e6-4266-add4-3fbc0e0e39f1 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Angenent, S
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1bf13cd8-3fc7-49ad-bbbd-921ba354c333 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Angenent, P
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 01b39369-2d5c-43f8-a913-22061c51b97b · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Angenent, P
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4ec25121-3342-47f4-bc31-735fc28d9bfc · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0746419c-cc26-4233-998e-86feeaa79ac2 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Brendle and K
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b22c5c40-0094-4f0a-961e-0b92e075bf8a · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Brendle and K
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation adf5645c-85a0-403b-aaec-f5b3fac2effd · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Brendle, P
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 221fb145-36fd-4142-a4ef-3521f91228b2 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Ricci flow and contractibility of spaces of metrics
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 11013a0e-6acf-4cb2-91e9-80c564e5fe29 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Bamler and B
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bffac4a0-74ce-4a47-9d42-460406dcf7d8 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Bamler and B
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2ade2ee4-e00f-4bea-93d0-33acfe8a9b08 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Bamler and B
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 90da892f-e7c1-4e42-ac32-cd552bdf5751 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0fd9e398-1627-4002-97e8-953a975f71fe · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Bourni, M
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a17c65a3-d140-4773-9ab6-3383a203fc7e · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Bourni, M
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ee7984bb-fd0f-4260-ac0a-c10b670cb0fe · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Brendle and K
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3da5a8ec-b4f7-4d9e-bdda-b8dc38b0b9c2 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 222f7214-6ba3-4e2e-ac61-7dac654062df · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a6f447ea-0d4b-4865-b723-0d91427181b6 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c899d90e-1768-4e0e-8274-40c1bcbcb77c · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 65cebf2a-4390-4ef4-b2b8-75600bc4c1bd · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Bernstein and L
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6bd0402d-0932-4dc6-b40c-48c58f188f6b · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Chodosh, K
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 11a343ab-0c1f-4a3a-8c23-a219b0757bf8 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Chodosh, K
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 79feab9c-cba4-4407-aed9-884501f029ad · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Mean curvature flow with generic initial data II
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f7575791-add8-43ff-9775-86f5b596fae2 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6c86768d-a5e0-4281-a41f-7d68823a7d32 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b8f4a465-0540-4b9f-b366-2056bcacb6cb · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 884b3284-4b77-4284-a84d-6df9cc933fbd · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a463195f-2a50-466e-8c0d-92892b773af9 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0be764a4-b316-4948-b01f-201374d3f5ae · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c62dbd3a-5ff5-4e8d-823e-f65edb4e7df3 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Cheeger, R
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1713564c-cf5a-4706-87ed-48f5bcc2aed8 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Colding and W
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 12866120-befc-4501-a59f-ef8c51940a63 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Colding and W
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9774c9c0-5fe7-4418-8bf3-5ad57106804b · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Clutterbuck, O
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3027b615-d4d3-4250-bf0c-4c99aef84c89 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Du and R
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4fa0104a-69cf-41c2-9db3-73534affb435 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Du and R
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation eca8faae-8a0a-4619-951a-f9e50254dbea · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Du and R
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 24075e29-051f-4c28-8943-bf29649aab82 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Daskalopoulos and M
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 34d92e16-09bb-471d-aaa4-b8e696719aa6 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Hamilton
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 35f9f07f-cd2c-4c0d-989f-756eced9bc8c · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Haslhofer
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 50d0da37-bf41-4b36-8aea-ac723cdf9e9c · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Haslhofer
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 44942e38-3ff5-4fd0-8584-f87ce82f728b · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Haslhofer and O
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 606a267d-0499-4d01-a859-cb4ae2c7f752 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Haslhofer and O
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 17db1584-cd83-4217-a9a1-4a39d1d0af4b · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Hoffman, T
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3d640bff-234a-44ae-9f71-ce0ee3dd4e95 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Haslhofer and B
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0805159c-584a-4bc4-8439-5a58ce81038f · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Haslhofer and B
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 07b0e5fa-39b3-4060-886c-146bb5a322be · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 44eccc72-48ce-4d4f-a3ad-a133bfb2e1dc · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Hershkovits and B
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f91b5913-ecc1-4ab7-9dea-85341ce5cc31 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 78c644f8-6cf3-49e4-ac20-af999561171f · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Martin, A
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0a9cfc1e-b467-4e41-8ab2-cccf122018f4 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Merle and H
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 84ffbada-0949-4d74-9415-b19c0a40ba34 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ The entropy formula for the Ricci flow and its geometric applications
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f10f4fc9-d81f-4e39-897f-09080dcb9318 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Sheng and X
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c2e4b21c-fcc1-4793-a107-9f2c0d9660cb · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e7393ed2-630d-4dc8-acda-b8b2d758d541 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6ce62d19-f9e2-45ff-9fb6-cf105e7c9a79 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b24402b5-2951-4dda-978c-14847af513f6 · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e048e545-3ca9-49cd-af5a-c98d4c1387cf · outbound
Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d9c07a7a-7202-4a36-bcc9-e579a0e75cd6 · inbound
Mean convex flows with surgery Classification of ancient noncollapsed flows in $\mathbb{R}^4$
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 03fef133-632a-4887-a0e6-8e55a3177557 · inbound
Free boundary flow through cylindrical singularities Classification of ancient noncollapsed flows in $\mathbb{R}^4$
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7125dc15-7e01-4d23-9d1b-8d8da0745a83 · inbound
Unique asymptotics of $SO(k)\times SO(n-k+1)$ symmetric ancient ovals of Ricci flow Classification of ancient noncollapsed flows in $\mathbb{R}^4$
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ff983c93-3023-4792-be3a-93f8bf02333e · inbound
Ancient mean curvature flow asymptotic to Simons cone Classification of ancient noncollapsed flows in $\mathbb{R}^4$
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.