Paper Citation Record · LEDGER

Barycenter curvature-dimension condition for extended metric measure spaces

As of 13 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.

pith.paper-citation-record.v1
2502.06793 v2

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T14:08:03.726106Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T04:49:57.529395Z

measured 0 of 1 external citation measurements

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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External citation measurements

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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: unresolved; raw_fallback, observed 2026-08-10T14:08:04.264916Z

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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; raw_fallback, observed 2026-08-10T14:08:04.251691Z

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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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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

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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

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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; raw_fallback, observed 2026-08-10T14:08:04.198055Z

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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

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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

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This paper cites 348, Springer, Cham, 2014.

Barycenter curvature-dimension condition for extended metric measure spaces 348, Springer, Cham, 2014

Reference 9

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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; raw_fallback, observed 2026-08-10T14:08:04.150630Z

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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

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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

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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

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This paper cites an unresolved cited work.

Barycenter curvature-dimension condition for extended metric measure spaces Unresolved cited work

Reference 14

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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

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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

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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

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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

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This paper cites 3, 307--331.

Barycenter curvature-dimension condition for extended metric measure spaces 3, 307--331

Reference 19

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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

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Barycenter curvature-dimension condition for extended metric measure spaces Unresolved cited work

Reference 21

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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; raw_fallback, observed 2026-08-10T14:08:04.026274Z

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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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Barycenter curvature-dimension condition for extended metric measure spaces Unresolved cited work

Reference 24

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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

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Barycenter curvature-dimension condition for extended metric measure spaces Unresolved cited work

Reference 26

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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

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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

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Observation ff5e15d4-75ea-4b4d-8e04-5d0c37940bdb · outbound

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Barycenter curvature-dimension condition for extended metric measure spaces Unresolved cited work

Reference 29

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Observation 2d1e68a1-72f7-4c1f-a45a-0ef32f124d89 · outbound

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Barycenter curvature-dimension condition for extended metric measure spaces Pure Appl

Reference 30

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:08:03.929987Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:08:03.916813Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:08:03.904565Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:08:03.892006Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:08:03.878670Z

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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

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.