Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T04:44:42.417017Z
Paper Citation Record · LEDGER
On the geometry of Wasserstein barycenter I
As of 13 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 3 inbound Pith citation observations for arXiv:2412.01190.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-10T14:08:03.660136Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-01T18:55:58.298108Z
Reference resolution
13 of 13 outbound references displayed
- verified exact2
- verified fuzzy3
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e1ba7e03-7d02-4660-87b0-3adf44d1bce7 · outbound
This paper cites 1, 179–203.
On the geometry of Wasserstein barycenter I 1, 179–203
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:44:42.771078Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0e723c0e-66fa-4834-b630-ca3bc3b23e65 · outbound
This paper cites an unresolved cited work.
On the geometry of Wasserstein barycenter I Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:44:42.646128Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6c182587-6fc6-40a7-b392-916036ae2279 · outbound
This paper cites 19, 41, 43 [Li24] Zhenhao Li, The Globalization Theorem for CD(K,N) on locally finite Spaces, Annali di Matematica Pura ed Applicata (1923 -) 203 (2024), no.
On the geometry of Wasserstein barycenter I 19, 41, 43 [Li24] Zhenhao Li, The Globalization Theorem for CD(K,N) on locally finite Spaces, Annali di Matematica Pura ed Applicata (1923 -) 203 (2024), no
Reference 44
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T04:44:42.396827Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 006e8e99-d6b8-4bf3-b459-a00ab633f379 · outbound
This paper cites I , Acta Math.
On the geometry of Wasserstein barycenter I I , Acta Math
Reference 357
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:44:42.662748Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d15dae34-339c-428f-9daa-4a1b48d8ffbd · outbound
This paper cites an unresolved cited work.
On the geometry of Wasserstein barycenter I Unresolved cited work
Reference 2001
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:44:42.709822Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 53805b8c-2c03-485a-8a97-e56403a68478 · outbound
This paper cites Configuration Spaces over Singular Spaces -- II. Curvature.
On the geometry of Wasserstein barycenter I Configuration Spaces over Singular Spaces -- II. Curvature
Reference 2007
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T04:44:42.615957Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d90bb861-b36f-42e7-a194-d153fd5f23e9 · outbound
This paper cites an unresolved cited work.
On the geometry of Wasserstein barycenter I Unresolved cited work
Reference 2008
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:44:42.755267Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e9d1aa8d-10eb-4635-af00-6b8bffe5d9a6 · outbound
This paper cites an unresolved cited work.
On the geometry of Wasserstein barycenter I Unresolved cited work
Reference 2009
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:44:42.631352Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 480a11bf-a15a-4720-9aba-15033cb8b5b1 · outbound
This paper cites an unresolved cited work.
On the geometry of Wasserstein barycenter I Unresolved cited work
Reference 2018
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:44:42.724621Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4ec2ccdc-6a35-4ffb-908d-04fb087de2f6 · outbound
This paper cites an unresolved cited work.
On the geometry of Wasserstein barycenter I Unresolved cited work
Reference 2022
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:44:42.693459Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1c653716-5b67-4ab7-a430-fabd62ac1c85 · outbound
This paper cites Jensen's inequality in geodesic spaces with lower bounded curvature.
On the geometry of Wasserstein barycenter I Jensen's inequality in geodesic spaces with lower bounded curvature
Reference 2023
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T04:44:42.461239Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 94818288-906d-4146-8ce4-387e425a7cdb · outbound
This paper cites an unresolved cited work.
On the geometry of Wasserstein barycenter I Unresolved cited work
Reference 2024
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:44:42.739838Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 87e4e9c2-aaec-43ed-8fea-59c2a14134f0 · outbound
This paper cites 1, 175–193.
On the geometry of Wasserstein barycenter I 1, 175–193
Reference 2025
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:44:42.677872Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Pith citing papers
Observation c2624531-0324-4d67-a4f1-75eed2db031d · inbound
Barycenter curvature-dimension condition for extended metric measure spaces cites this paper.
Barycenter curvature-dimension condition for extended metric measure spaces On the geometry of Wasserstein barycenter I
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T14:08:03.660136Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d983083a-0bbf-4b06-a427-dc5560755f34 · inbound
Quantitative Stability of Wasserstein Barycenters over Alexandrov Spaces with Lower Curvature Bounds cites this paper.
Quantitative Stability of Wasserstein Barycenters over Alexandrov Spaces with Lower Curvature Bounds On the geometry of Wasserstein barycenter I
Reference 11
- Resolution
- verified exact
- arxiv_id, observed 2026-06-29T19:53:55.470389Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c80d0806-a578-47b1-8631-167ab00b9414 · inbound
Wasserstein Barycenter Convexity Detects Hilbertian Geometry cites this paper.
Wasserstein Barycenter Convexity Detects Hilbertian Geometry On the geometry of Wasserstein barycenter I
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T18:55:58.302991Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.