Paper Citation Record · LEDGER

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics

As of 19 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2607.10769.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.10769 v1

Coverage vector

measured 43 of 43 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-14T09:23:43.819884Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

43 of 43 outbound references displayed

verified exact15
verified fuzzy0
unresolved27
parse uncertain0
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External citation measurements

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Outbound references

Observation 270daba2-e1ea-4dde-a9db-debe90b1cdf2 · outbound

This paper cites Agueh and G.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Agueh and G

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation 358f3835-8abf-457a-923d-fadf73bbfd50 · outbound

This paper cites Aishwarya and D.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Aishwarya and D

Reference 2

Resolution: verified exact; doi, observed 2026-07-14T09:30:22.621421Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 768de8e2-2e63-4e0f-8573-aedc8bde70d3 · outbound

This paper cites Aishwarya and L.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Aishwarya and L

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-07-14T09:30:22.692495Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7507a764-091e-4ca7-85fa-4128f6308f7f · outbound

This paper cites Bolley, I.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Bolley, I

Reference 4

Resolution: malformed identifier; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation fb9bcac6-baee-48a7-8654-15c17e1c8713 · outbound

This paper cites an unresolved cited work.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation 9904382b-3f01-481e-a7d2-e23345c183b0 · outbound

This paper cites an unresolved cited work.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation fa73f865-a323-4d5e-b477-09d22bcdae67 · outbound

This paper cites Brenier,Polar factorization and monotone rearrangement of vector-valued functions, Comm.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Brenier,Polar factorization and monotone rearrangement of vector-valued functions, Comm

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation fbd84a32-345d-4254-8d09-e99f297891f7 · outbound

This paper cites an unresolved cited work.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation 99a40db4-f182-4482-9845-ffe6c6110b4b · outbound

This paper cites an unresolved cited work.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation cf80d423-ff22-4609-9c3d-f5482ccd0c96 · outbound

This paper cites Cheng and D.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Cheng and D

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation 18ffee69-74f9-4695-9554-177ecdb1878f · outbound

This paper cites Concavity principles for weighted marginals.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Concavity principles for weighted marginals

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation 9f3173c3-d65f-4050-8280-63f691f33b4d · outbound

This paper cites Cordero-Erausquin, R.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Cordero-Erausquin, R

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation 1c9abd61-e0fa-4c98-9abf-0e7b37b88ef6 · outbound

This paper cites an unresolved cited work.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation 23d8bebe-36df-4496-92f8-688fedc3c6e9 · outbound

This paper cites an unresolved cited work.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Unresolved cited work

Reference 14

Resolution: verified exact; doi, observed 2026-07-14T09:30:22.639135Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bfb6a923-6680-43b3-835b-281c989e930d · outbound

This paper cites De Philippis and A.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics De Philippis and A

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation 1c880c3e-6a86-4475-b349-356ec206c873 · outbound

This paper cites De Philippis and A.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics De Philippis and A

Reference 16

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Observation 2ca969d0-d5f5-4755-86d5-831662e16605 · outbound

This paper cites an unresolved cited work.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation daf712e6-119c-4233-b2c3-64d71d2a1d7a · outbound

This paper cites Erbar, K.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Erbar, K

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation c17cf3d0-6a10-4879-b4e1-733b5f62b8d1 · outbound

This paper cites Functional perimeter and the dimensional Brunn-Minkowski inequality for log-concave measures.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Functional perimeter and the dimensional Brunn-Minkowski inequality for log-concave measures

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation cb607d18-de60-4f8f-9b12-63f9bd4add39 · outbound

This paper cites Eskenazis and G.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Eskenazis and G

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation 3a16e2a3-830e-4b59-b49b-0c6cc38d29bc · outbound

This paper cites Eskenazis and Y.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Eskenazis and Y

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation daeb8b90-6a24-4b4d-9d5d-fe2030c62d5a · outbound

This paper cites Fathi,Stein kernels and moment maps, Ann.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Fathi,Stein kernels and moment maps, Ann

Reference 22

Resolution: verified exact; doi, observed 2026-07-14T09:30:22.653734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 069fb9d3-2807-453a-bfbb-bdea1849cdb9 · outbound

This paper cites an unresolved cited work.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Unresolved cited work

Reference 23

Resolution: verified exact; doi, observed 2026-07-14T09:30:22.680324Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 32c31fd9-f770-40fd-a222-cecf416cf7e1 · outbound

This paper cites Han,Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds, Adv.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Han,Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds, Adv

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-07-14T09:30:22.646061Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2492ffe8-63ea-4dd0-8cf3-7f0597374b4d · outbound

This paper cites Wasserstein Barycenter Convexity Detects Hilbertian Geometry.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Wasserstein Barycenter Convexity Detects Hilbertian Geometry

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation 81109bfd-7e9b-4051-b559-e863d6963deb · outbound

This paper cites Jiang and P.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Jiang and P

Reference 26

Resolution: verified exact; doi, observed 2026-07-14T09:30:22.696565Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 77ac783c-4e04-43bf-9e3a-407224d425d4 · outbound

This paper cites Jiang, P.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Jiang, P

Reference 27

Resolution: verified exact; doi, observed 2026-07-14T09:30:22.658181Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1a0924bd-0863-4842-b76a-1114847940b1 · outbound

This paper cites Klartag,Poincar´ e inequalities and moment maps, Ann.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Klartag,Poincar´ e inequalities and moment maps, Ann

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation 8240958e-e474-452b-ba3a-5f6f355845d5 · outbound

This paper cites Klartag and E.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Klartag and E

Reference 29

Resolution: verified exact; doi, observed 2026-07-14T09:30:22.630342Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 65e6e79d-fc8e-453c-b918-3031241d0a35 · outbound

This paper cites an unresolved cited work.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Unresolved cited work

Reference 30

Resolution: verified exact; doi, observed 2026-07-14T09:30:22.625718Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ff9bb3e5-4fbb-4404-91ac-a337f545c7b5 · outbound

This paper cites Mass transportation and contractions.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Mass transportation and contractions

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation 59c2ac27-7bf3-4d87-84e9-62e02091eddf · outbound

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Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation 437c8177-eafa-4fd3-a128-75c4b4cf40ba · outbound

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Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation ad2a542a-8f7e-4dc7-a3fa-5f0a2ec15a9e · outbound

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Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Unresolved cited work

Reference 34

Resolution: verified exact; doi, observed 2026-07-14T09:30:22.662776Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b4392d94-29d5-45dd-9a1a-3c9dc1fc9e68 · outbound

This paper cites an unresolved cited work.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation df7c7dbf-e00a-46f1-9e99-d8e85464ff18 · outbound

This paper cites Malliaris, J.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Malliaris, J

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation 91fd0f16-0d61-48ec-9cec-173eb54b3b20 · outbound

This paper cites Mijoule, M.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Mijoule, M

Reference 37

Resolution: verified exact; doi, observed 2026-07-14T09:30:22.634701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 08cd91a0-b59c-4e1b-9920-bb8041f6dc4f · outbound

This paper cites Nayar and T.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Nayar and T

Reference 38

Resolution: verified exact; doi, observed 2026-07-14T09:30:22.671708Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation af6d02fc-988f-4fdb-9c11-b4c9fecaf1e2 · outbound

This paper cites Otto and C.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Otto and C

Reference 39

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Observation 0c2d2f45-8073-4779-b5aa-e5853dbe434e · outbound

This paper cites Serres,Behavior of the Poincar´ e constant along the Polchinski renormalization flow, Commun.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Serres,Behavior of the Poincar´ e constant along the Polchinski renormalization flow, Commun

Reference 40

Resolution: verified exact; doi, observed 2026-07-14T09:30:22.616532Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 214138e8-e7e2-4a0e-9c02-109d5f3f1530 · outbound

This paper cites Santambrogio and X.-J.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Santambrogio and X.-J

Reference 41

Resolution: verified exact; doi, observed 2026-07-14T09:30:22.675964Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation aa5763ed-d991-4db0-bce4-e8f44e27268d · outbound

This paper cites Villani,Optimal Transport: Old and New, Grundlehren der mathematischen Wissenschaften, vol.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Villani,Optimal Transport: Old and New, Grundlehren der mathematischen Wissenschaften, vol

Reference 42

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Observation 24bf3e56-b425-4b53-a415-38fe93c30cef · outbound

This paper cites von Renesse and K.-T.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics von Renesse and K.-T

Reference 43

Resolution: unresolved; no resolver link, observed 2026-07-14T09:23:43.819884Z

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Pith citing papers

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