Paper Citation Record · LEDGER

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian

As of 19 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2508.05483.

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

pith.paper-citation-record.v1
2508.05483 v2

Coverage vector

measured 48 of 48 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-05T23:22:32.406562Z

measured 48 of 48 standing notices

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

48 of 48 outbound references displayed

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Outbound references

Observation 083f4cc5-ca41-42c4-9c29-8ce7e1182a4b · outbound

This paper cites Alexander, V.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Alexander, V

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.968600Z

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Observation cbfea215-25f7-48f5-bc6f-973145aae4df · outbound

This paper cites Ambrosio, N.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Ambrosio, N

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.957499Z

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Observation c201f783-3a9e-4ec4-a12b-44cbbb8f936d · outbound

This paper cites Ambrosio, N.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Ambrosio, N

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.946344Z

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Observation 4178d5df-1d68-409b-971d-839618ecb990 · outbound

This paper cites Ambrosio, N.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Ambrosio, N

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.933635Z

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Observation b33f99f0-f47f-4b24-b56c-258d5be53014 · outbound

This paper cites Ambrosio, T.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Ambrosio, T

Reference 5

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Observation e2e914d7-7f88-4885-820e-a03ac855645e · outbound

This paper cites o rn and J. Bj\.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian o rn and J. Bj\

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.909868Z

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Observation 17351049-e4e7-4225-b84a-255e2e22327b · outbound

This paper cites an unresolved cited work.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-05T23:22:32.897800Z

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Observation 15a03b76-a6c6-4805-9e52-36837d3bdf3c · outbound

This paper cites Burago, Y.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Burago, Y

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.886199Z

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Observation 49adafa8-f833-4892-bb48-b27994af2a17 · outbound

This paper cites an unresolved cited work.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Unresolved cited work

Reference 9

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This paper cites an unresolved cited work.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Unresolved cited work

Reference 10

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Observation dafa633a-fe2c-494c-8e51-f443a9a8d411 · outbound

This paper cites The Hellinger-Kantorovich metric measure geometry on spaces of measures.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian The Hellinger-Kantorovich metric measure geometry on spaces of measures

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-05T23:22:32.262017Z

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Observation 0f00ea4e-8cce-4055-84cc-476a5f7ca938 · outbound

This paper cites Di Marino.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Di Marino

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.856758Z

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Observation f04d9d30-4f0f-4cbc-b33c-b708bc3e81e4 · outbound

This paper cites Sobolev and BV spaces on metric measure spaces via derivations and integration by parts.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Sobolev and BV spaces on metric measure spaces via derivations and integration by parts

Reference 13

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Observation e67f51ac-8e9c-4c18-bff3-a3380e7bb503 · outbound

This paper cites Di Marino, N.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Di Marino, N

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.847288Z

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Observation d9288e5a-198e-4bcc-b709-20f81e9dc3a0 · outbound

This paper cites Di Marino, N.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Di Marino, N

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.837150Z

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Observation ebff78b5-4078-4e18-8112-c6dd6b1df37d · outbound

This paper cites Di Marino, D.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Di Marino, D

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.827055Z

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Observation c5d34a49-5ce0-47e4-ab0a-607e4d558433 · outbound

This paper cites Eriksson-Bique.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Eriksson-Bique

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.817110Z

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Observation 9b7459a3-ea79-4a09-b8cf-8cc8b68f7a56 · outbound

This paper cites Eriksson-Bique, T.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Eriksson-Bique, T

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.806573Z

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Observation bd5e7ac0-8e56-4452-a12e-34e4ff1ea574 · outbound

This paper cites Eriksson-Bique and E.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Eriksson-Bique and E

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.795567Z

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Observation 4108801e-06ae-45aa-a5c3-fa16f9255628 · outbound

This paper cites Hilbert space factor of metric spaces.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Hilbert space factor of metric spaces

Reference 20

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Observation 71d7dfb8-df36-4c12-930a-a583f82f2498 · outbound

This paper cites Fornasier, P.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Fornasier, P

Reference 21

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Observation 1c3ac515-6257-49d0-ba2a-a62af8d5212f · outbound

This paper cites Fornasier, G.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Fornasier, G

Reference 22

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Observation 124d9734-f44a-4aec-bdc4-89c2c138829e · outbound

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Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-05T23:22:32.763395Z

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Observation 11b0d37a-9936-441f-914d-60b723bc2cb9 · outbound

This paper cites an unresolved cited work.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Unresolved cited work

Reference 24

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Observation c80c446a-2289-41dd-ad8d-de5f6a09496e · outbound

This paper cites The splitting theorem in non-smooth context.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian The splitting theorem in non-smooth context

Reference 25

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Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Unresolved cited work

Reference 26

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Observation bddfd0d4-cfeb-4411-822e-e0a41a986dba · outbound

This paper cites an unresolved cited work.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Unresolved cited work

Reference 27

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Observation 87cf7528-e1c9-40d5-b0fd-ef24f1230aa0 · outbound

This paper cites an unresolved cited work.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Unresolved cited work

Reference 28

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Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Unresolved cited work

Reference 29

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Observation 328fafd8-d3de-4381-8af7-e3ee5fd276af · outbound

This paper cites Gigli and S.-I.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Gigli and S.-I

Reference 30

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Observation dfcc6415-a55e-4d01-94d9-a225c34fbc9a · outbound

This paper cites Gigli and E.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Gigli and E

Reference 31

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Observation c678b247-99a3-4027-baea-9e4bc5b095c3 · outbound

This paper cites Gigli and E.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Gigli and E

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.673891Z

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Observation 584c4c37-19fc-4e07-9c71-cff665c83b0c · outbound

This paper cites Halbeisen.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Halbeisen

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.663793Z

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Observation d5476594-0c26-422e-9fee-3db17326bf57 · outbound

This paper cites Heinonen, P.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Heinonen, P

Reference 34

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Observation d04da024-84fd-448d-9c22-4f48b41db30e · outbound

This paper cites Le Donne, D.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Le Donne, D

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.642510Z

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Observation 127b970a-6ad7-421b-b6c7-1cb4255a83f5 · outbound

This paper cites Lu c i\' c and E.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Lu c i\' c and E

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.630809Z

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Observation f3503399-8987-4e70-b8a3-6d2cae4ee92c · outbound

This paper cites Lytchak and S.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Lytchak and S

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.620501Z

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Observation db10b2d0-4774-46d3-b0cb-86c4e553d44f · outbound

This paper cites Marchese and A.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Marchese and A

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.609953Z

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Observation 0295f213-dff3-4e6e-ae21-5f77ce625d0b · outbound

This paper cites an unresolved cited work.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Unresolved cited work

Reference 39

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Observation 3abd8fa3-a173-4bc3-8a34-c588a5a05e1f · outbound

This paper cites Paolini and E.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Paolini and E

Reference 40

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Observation d551112e-84cd-49bd-be25-328a189e5fbd · outbound

This paper cites Paolini and E.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Paolini and E

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.577691Z

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Observation 9c539264-8290-4cb7-8221-02e7f2b8f143 · outbound

This paper cites Derivations and Sobolev functions on extended metric-measure spaces.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Derivations and Sobolev functions on extended metric-measure spaces

Reference 42

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Source-reported events for the cited work

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Observation b48d32d3-5a57-41d7-97e8-a86f8a0ce9f2 · outbound

This paper cites Petrunin.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Petrunin

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.565999Z

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

Observation e77cc1c0-3e11-46b4-9514-9ca160d91972 · outbound

This paper cites Savar\' e.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Savar\' e

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.550574Z

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Observation 252273d6-3d2b-4062-99a3-7341ed10eb8f · outbound

This paper cites Shanmugalingam.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Shanmugalingam

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.532883Z

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Observation 27111c4d-09c7-4869-aff2-58bda0d78122 · outbound

This paper cites an unresolved cited work.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-05T23:22:32.521880Z

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Observation f21c7dab-ea8f-4757-8c09-9aed74d5be7d · outbound

This paper cites Turner, Y.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Turner, Y

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.510070Z

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

Observation 2ba44da1-fa90-4c40-b4cf-335e28d2b8e1 · outbound

This paper cites Zhang and X.-P.

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian Zhang and X.-P

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:22:32.498529Z

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Pith citing papers

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