Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T14:08:03.726106Z
Paper Citation Record · LEDGER
Barycenter curvature-dimension condition for extended metric measure spaces
As of 15 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2502.06793.
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 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-08T04:49:57.529395Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T21:36:16.526678Z
Reference resolution
36 of 36 outbound references displayed
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- unresolved15
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 8bb7e344-c27e-40f0-a57d-8cc0880264fd · outbound
This paper cites an unresolved cited work.
Barycenter curvature-dimension condition for extended metric measure spaces Unresolved cited work
Reference 1
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f11d7c09-7727-4e7a-8979-4860548114b0 · outbound
This paper cites an unresolved cited work.
Barycenter curvature-dimension condition for extended metric measure spaces Unresolved cited work
Reference 2
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation bce4170b-1df5-47d6-a53f-0acf20dd5985 · outbound
This paper cites 2062, Springer, 2011.
Barycenter curvature-dimension condition for extended metric measure spaces 2062, Springer, 2011
Reference 3
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- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d869ebc8-fa2c-4d54-bda3-e911b62a7cc8 · outbound
This paper cites an unresolved cited work.
Barycenter curvature-dimension condition for extended metric measure spaces Unresolved cited work
Reference 4
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 53af9ce1-77b4-42c8-a041-f586aa371da2 · outbound
This paper cites urich, Birkh\.
Barycenter curvature-dimension condition for extended metric measure spaces urich, Birkh\
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 2026-08-15T06:32:42.880941+00:00.
Observation b42f42d2-301f-4457-b10a-f88c754506c0 · outbound
This paper cites an unresolved cited work.
Barycenter curvature-dimension condition for extended metric measure spaces Unresolved cited work
Reference 6
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f775902d-16ef-473e-a090-b34f204cbd7a · outbound
This paper cites an unresolved cited work.
Barycenter curvature-dimension condition for extended metric measure spaces Unresolved cited work
Reference 7
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6d806768-7172-49bc-8294-0186c8726ea9 · outbound
This paper cites Bakry and Michel \'Emery, Diffusions hypercontractives, S\'eminaire de probabilit\'es, XIX , 1983/84, Lecture Notes in Math., vol.
Barycenter curvature-dimension condition for extended metric measure spaces Bakry and Michel \'Emery, Diffusions hypercontractives, S\'eminaire de probabilit\'es, XIX , 1983/84, Lecture Notes in Math., vol
Reference 8
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0ccfc221-2b16-4fd7-b330-2f4e5a85afc6 · outbound
This paper cites 348, Springer, Cham, 2014.
Barycenter curvature-dimension condition for extended metric measure spaces 348, Springer, Cham, 2014
Reference 9
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f75fd3df-28ca-4dd4-8757-cc1a1948d063 · outbound
This paper cites McCann, and Michael Schmuckenschl\" a ger, A R iemannian interpolation inequality \`a la B orell, B rascamp and L ieb , Invent.
Barycenter curvature-dimension condition for extended metric measure spaces McCann, and Michael Schmuckenschl\" a ger, A R iemannian interpolation inequality \`a la B orell, B rascamp and L ieb , Invent
Reference 10
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 90086f4b-7745-456e-bd51-c06063b4a4f9 · outbound
This paper cites Cheeger, Differentiability of L ipschitz functions on metric measure spaces , Geom.
Barycenter curvature-dimension condition for extended metric measure spaces Cheeger, Differentiability of L ipschitz functions on metric measure spaces , Geom
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T14:08:04.138328Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c33a9898-5693-4c50-9c74-ae1dbbb86ea0 · outbound
This paper cites 3, 1104--1122.
Barycenter curvature-dimension condition for extended metric measure spaces 3, 1104--1122
Reference 12
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7cc2c5b8-b639-47b0-b25b-626517cc888b · outbound
This paper cites an unresolved cited work.
Barycenter curvature-dimension condition for extended metric measure spaces Unresolved cited work
Reference 13
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 253c457f-f823-45fe-9178-adce7d470f48 · outbound
This paper cites an unresolved cited work.
Barycenter curvature-dimension condition for extended metric measure spaces Unresolved cited work
Reference 14
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 646e5504-c609-48e2-ad2d-fcd70a71825c · outbound
This paper cites Theory Related Fields 146 (2010), no.
Barycenter curvature-dimension condition for extended metric measure spaces Theory Related Fields 146 (2010), no
Reference 15
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 72affa72-76bd-4069-b88a-e171712006a6 · outbound
This paper cites Feyel and A.
Barycenter curvature-dimension condition for extended metric measure spaces Feyel and A
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T14:08:04.077332Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 505bd070-7f14-4b5b-885a-bde3a36df5ed · outbound
This paper cites an unresolved cited work.
Barycenter curvature-dimension condition for extended metric measure spaces Unresolved cited work
Reference 17
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e9f2de5f-a691-4a34-b553-98e8ca426d7c · outbound
This paper cites De Giorgi and Gromov working together.
Barycenter curvature-dimension condition for extended metric measure spaces De Giorgi and Gromov working together
Reference 18
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b76ac3b6-9343-4fe8-be77-7cf18a5f055e · outbound
This paper cites 3, 307--331.
Barycenter curvature-dimension condition for extended metric measure spaces 3, 307--331
Reference 19
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c2624531-0324-4d67-a4f1-75eed2db031d · outbound
This paper cites On the geometry of Wasserstein barycenter I.
Barycenter curvature-dimension condition for extended metric measure spaces On the geometry of Wasserstein barycenter I
Reference 20
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 554e722d-481b-41a0-993c-acdf06ea2d2b · outbound
This paper cites an unresolved cited work.
Barycenter curvature-dimension condition for extended metric measure spaces Unresolved cited work
Reference 21
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c6e4f33b-8ff3-4a66-9605-16f32463cf78 · outbound
This paper cites an unresolved cited work.
Barycenter curvature-dimension condition for extended metric measure spaces Unresolved cited work
Reference 22
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ef618893-7f9c-40de-b625-b348a0f31b66 · outbound
This paper cites Kolesnikov and Elisabeth M.
Barycenter curvature-dimension condition for extended metric measure spaces Kolesnikov and Elisabeth M
Reference 23
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- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 005a1d26-3693-42ce-9848-3116f64e19fd · outbound
This paper cites an unresolved cited work.
Barycenter curvature-dimension condition for extended metric measure spaces Unresolved cited work
Reference 24
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ae589cd8-72fd-4dc9-b8eb-d3f174fb82ed · outbound
This paper cites an unresolved cited work.
Barycenter curvature-dimension condition for extended metric measure spaces Unresolved cited work
Reference 25
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d9114481-3420-409a-b3b4-7d3e5990ccca · outbound
This paper cites an unresolved cited work.
Barycenter curvature-dimension condition for extended metric measure spaces Unresolved cited work
Reference 26
- Resolution
- verified exact
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation acb36ae8-acb3-47b0-8d98-e87eb617f54d · outbound
This paper cites 1, 153--179.
Barycenter curvature-dimension condition for extended metric measure spaces 1, 153--179
Reference 27
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 387ee189-4ef7-42f5-bd45-bec4a176e59c · outbound
This paper cites i: Structural properties, Journal of Functional Analysis 278 (2020), no.
Barycenter curvature-dimension condition for extended metric measure spaces i: Structural properties, Journal of Functional Analysis 278 (2020), no
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T14:08:03.969494Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ff5e15d4-75ea-4b4d-8e04-5d0c37940bdb · outbound
This paper cites an unresolved cited work.
Barycenter curvature-dimension condition for extended metric measure spaces Unresolved cited work
Reference 29
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2d1e68a1-72f7-4c1f-a45a-0ef32f124d89 · outbound
This paper cites Pure Appl.
Barycenter curvature-dimension condition for extended metric measure spaces Pure Appl
Reference 30
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0e57f93b-138b-47ba-8cbc-edf34d49b7ec · outbound
This paper cites Otto and C.
Barycenter curvature-dimension condition for extended metric measure spaces Otto and C
Reference 31
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- verified fuzzy
- raw_fallback, observed 2026-08-10T14:08:03.929987Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9d87c811-96cb-4687-8383-a780204e62b9 · outbound
This paper cites 87, Birkh\"auser/Springer, Cham, 2015, Calculus of variations, PDEs, and modeling.
Barycenter curvature-dimension condition for extended metric measure spaces 87, Birkh\"auser/Springer, Cham, 2015, Calculus of variations, PDEs, and modeling
Reference 32
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 49d32716-c1e4-492e-91d1-0780e792158b · outbound
This paper cites I , Acta Math.
Barycenter curvature-dimension condition for extended metric measure spaces I , Acta Math
Reference 33
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- raw_fallback, observed 2026-08-10T14:08:03.904565Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 57243b4c-3011-496e-8917-e2b7220e9135 · outbound
This paper cites II , Acta Math.
Barycenter curvature-dimension condition for extended metric measure spaces II , Acta Math
Reference 34
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- raw_fallback, observed 2026-08-10T14:08:03.892006Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1f6bb08d-1521-445e-95a8-fa21f8298550 · outbound
This paper cites old and new, Grundlehren der Mathematischen Wissenschaften, vol.
Barycenter curvature-dimension condition for extended metric measure spaces old and new, Grundlehren der Mathematischen Wissenschaften, vol
Reference 35
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- verified fuzzy
- raw_fallback, observed 2026-08-10T14:08:03.878670Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 29891d1e-7ee5-4fe4-b966-c0e30b6f597b · outbound
This paper cites von Renesse and Karl-Theodor Sturm, Transport inequalities, gradient estimates, entropy, and R icci curvature , Comm.
Barycenter curvature-dimension condition for extended metric measure spaces von Renesse and Karl-Theodor Sturm, Transport inequalities, gradient estimates, entropy, and R icci curvature , Comm
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T14:08:03.863558Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
Observation 31c9af16-7c6c-4098-a49a-edd50a15b6ce · inbound
Absolute continuity of generalized Wasserstein barycenters of finitely many measures cites this paper.
Absolute continuity of generalized Wasserstein barycenters of finitely many measures Barycenter curvature-dimension condition for extended metric measure spaces
Reference 27
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T21:36:16.531739Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.