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Paper Citation Record · LEDGER

On the structure of RCD spaces with upper curvature bounds

As of 16 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:1908.07036.

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

pith.paper-citation-record.v1
1908.07036 v2

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:43:14.292769Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

43 of 43 outbound references displayed

  • verified exact4
  • verified fuzzy8
  • unresolved31
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a339d3e0-8b60-4c0c-a997-599004e3c40b · outbound

This paper cites an unresolved cited work.

On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 1

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Source-reported events for the cited work

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Observation 8cd3eeec-de82-4c01-8523-4f0ddfabea4e · outbound

This paper cites an unresolved cited work.

On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 2

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 3ef20952-674c-4a89-85b5-a633da73a041 · outbound

This paper cites an unresolved cited work.

On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 3

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.075056Z digest=sha256:5714366e184da030597ca2a9c8d07c80b0fb7b3417bfccd70c6fae4fc3ea7508

Observation 93855e73-0f0f-4a53-9cc2-be730573e54d · outbound

This paper cites an unresolved cited work.

On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 4

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.084369Z digest=sha256:baf5a44c0b0a2c5d0d1ab98a4828d3d3ab861daa3ac6644ea08aea68f0387ec6

Observation ff86234c-14b0-4c1c-9799-3d589bbeb447 · outbound

This paper cites Embedding of $RCD^*(K,N)$ spaces in $L^2$ via eigenfunctions.

On the structure of RCD spaces with upper curvature bounds Embedding of $RCD^*(K,N)$ spaces in $L^2$ via eigenfunctions

Reference 5

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source=arxiv_source observed=2026-08-14T12:43:14.090797Z digest=sha256:51f93d8e24c821ec7dffac60efbccfd9a4472917f3291d2f0ac7d545159dc225

Observation 7ba36d00-0a87-43d8-bd53-f7c1c70f82a8 · outbound

This paper cites an unresolved cited work.

On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 6

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raw_fallback, observed 2026-08-14T12:43:15.018153Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.096630Z digest=sha256:7a3452eaf7d129f033b5fb690fdf98b7ab53567c8931952f922e9b78297dea32

Observation e2039ce6-e824-42a3-9d43-20c630e3b2dc · outbound

This paper cites 33, American Mathematical Society, Providence, RI, 2001.

On the structure of RCD spaces with upper curvature bounds 33, American Mathematical Society, Providence, RI, 2001

Reference 7

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no resolver link, observed 2026-08-14T12:43:14.103120Z

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source=arxiv_source observed=2026-08-14T12:43:14.103120Z digest=sha256:d0704f3a84ce9e0a99736029169890b2fddafbcacddeff7020cc97078b749b60

Observation e112a714-c062-4228-9f2b-1ef188d50815 · outbound

This paper cites Berestovski , Busemann spaces with upper-bounded A leksandrov curvature , Algebra i Analiz 14 (2002), no.

On the structure of RCD spaces with upper curvature bounds Berestovski , Busemann spaces with upper-bounded A leksandrov curvature , Algebra i Analiz 14 (2002), no

Reference 8

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 20a35caa-f2b0-4a30-b5ba-9f0f47377e64 · outbound

This paper cites Bridson and Andr \'e Haefliger, Metric spaces of non-positive curvature, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol.

On the structure of RCD spaces with upper curvature bounds Bridson and Andr \'e Haefliger, Metric spaces of non-positive curvature, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol

Reference 9

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Observation 3570f13e-b3f0-42e8-9b2b-3eb7d404194a · outbound

This paper cites Berestovski and Igor G.

On the structure of RCD spaces with upper curvature bounds Berestovski and Igor G

Reference 10

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation c9077a6c-56d3-4f5e-b7d7-a3dba8a0a657 · outbound

This paper cites Constancy of the dimension for RCD(K,N) spaces via regularity of Lagrangian flows.

On the structure of RCD spaces with upper curvature bounds Constancy of the dimension for RCD(K,N) spaces via regularity of Lagrangian flows

Reference 11

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Observation a815afbe-70b1-431c-bf54-104ad0678f63 · outbound

This paper cites an unresolved cited work.

On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 12

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation a9bb7d09-38d9-4dc9-82a4-c6baf141a66e · outbound

This paper cites an unresolved cited work.

On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 13

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Observation 0872afcf-ce12-43d0-880c-811be291264e · outbound

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On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 14

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Observation e9c71716-600f-487f-b265-84f9c8b0b031 · outbound

This paper cites an unresolved cited work.

On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 15

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Observation 93ff1a3c-03a9-411a-9b88-3b4394ce9cf7 · outbound

This paper cites an unresolved cited work.

On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 16

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation f3c78059-e447-4e7c-a599-88ed3cd5660b · outbound

This paper cites Evans and Ronald F.

On the structure of RCD spaces with upper curvature bounds Evans and Ronald F

Reference 17

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Observation 4df8af5f-9dc2-41a0-9cbf-9f35cb7add54 · outbound

This paper cites an unresolved cited work.

On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 18

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Observation 4443e73a-1360-4b3c-ad76-066b4ef48947 · outbound

This paper cites an unresolved cited work.

On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 19

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Observation bc8ff1df-fb6e-48ed-8acb-e85175852842 · outbound

This paper cites Behaviour of the reference measure on $\sf RCD$ spaces under charts.

On the structure of RCD spaces with upper curvature bounds Behaviour of the reference measure on $\sf RCD$ spaces under charts

Reference 20

Resolution
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Observation cfddaabf-d1d5-4ef1-a9ba-1b40dc085318 · outbound

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

On the structure of RCD spaces with upper curvature bounds Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds

Reference 21

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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.

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Observation 4c18cb30-6cfe-4631-8613-221ca51673df · outbound

This paper cites New differential operator and non-collapsed $RCD$ spaces.

On the structure of RCD spaces with upper curvature bounds New differential operator and non-collapsed $RCD$ spaces

Reference 22

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verified exact
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 75d28bc4-9266-4e33-a541-57ccbbcc373a · outbound

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On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 23

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation fc573de9-4f59-430c-aab7-5cb2c19a2a6c · outbound

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On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 24

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Observation 9abb9007-5657-452a-b910-7df885140009 · outbound

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On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 25

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation b77e28bd-3838-4a90-ad3c-b849cd26e778 · outbound

This paper cites 51 (2019), no.

On the structure of RCD spaces with upper curvature bounds 51 (2019), no

Reference 26

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation ea71489f-4c08-49e4-9889-550d3b8b3058 · outbound

This paper cites CD meets CAT.

On the structure of RCD spaces with upper curvature bounds CD meets CAT

Reference 27

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 6780f4f8-4661-43f4-8633-030ad1c97ff2 · outbound

This paper cites Weakly noncollapsed RCD spaces with upper curvature bounds.

On the structure of RCD spaces with upper curvature bounds Weakly noncollapsed RCD spaces with upper curvature bounds

Reference 28

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local_arxiv, observed 2026-08-14T12:43:14.392897Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 88a6e81e-f55e-4770-a812-ebb2dc3acfc7 · outbound

This paper cites Reine Angew.

On the structure of RCD spaces with upper curvature bounds Reine Angew

Reference 29

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation a6a3f1f7-8773-460e-8c2c-970f9642b28a · outbound

This paper cites an unresolved cited work.

On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 30

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 00ca8abc-4bcf-4eb9-8507-087f6b74c5ec · outbound

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On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 31

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation e89ae455-c65c-4a4b-b2f3-345c673f6ab9 · outbound

This paper cites On the topology and the boundary of N-dimensional RCD(K,N) spaces.

On the structure of RCD spaces with upper curvature bounds On the topology and the boundary of N-dimensional RCD(K,N) spaces

Reference 32

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Observation e909705d-8f99-4065-9875-53b903289f9b · outbound

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On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 33

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 78e69e12-a6a3-4aff-9042-4ab765671396 · outbound

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On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 34

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Observation f468918a-9185-4373-82f0-72afd8e1fb00 · outbound

This paper cites an unresolved cited work.

On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 35

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Observation f7b432da-3c06-408d-85ce-48f45ce64dfa · outbound

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On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 36

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Observation 037513e3-d69f-444b-96ef-a03a7cb0ff6a · outbound

This paper cites Infinitesimal Hilbertianity of locally CAT($\kappa$)-spaces.

On the structure of RCD spaces with upper curvature bounds Infinitesimal Hilbertianity of locally CAT($\kappa$)-spaces

Reference 37

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source=arxiv_source observed=2026-08-14T12:43:14.263283Z digest=sha256:80ac24d3b53b223a9b645afce33a86b6bc4f24ebe87d0f3ac50ede612e03f795

Observation 2c935363-ff62-4dd2-a07c-df72056a5e47 · outbound

This paper cites an unresolved cited work.

On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:43:14.635544Z

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.

source=arxiv_source observed=2026-08-14T12:43:14.268158Z digest=sha256:8fe536a49020da6c1c6970376a11d0e8f6f5fb454b263d17f1e583796e2ddae3

Observation 5b7c24b5-e78e-4a43-8f4b-77819b0fcea6 · outbound

This paper cites an unresolved cited work.

On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:43:14.617984Z

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.

source=arxiv_source observed=2026-08-14T12:43:14.272988Z digest=sha256:2470ca6fe200d80696242411b257d0d5bedbcbbbb50db05852af107de9956a15

Observation 3ac99ab9-68e7-4d9c-8efc-3a97a5e74916 · outbound

This paper cites Perelman, DC structure on A lexandrov space with curvature bounded below.

On the structure of RCD spaces with upper curvature bounds Perelman, DC structure on A lexandrov space with curvature bounded below

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:14.598754Z

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.

source=arxiv_source observed=2026-08-14T12:43:14.278017Z digest=sha256:32ef2e805a7b661771e5a908e37cbea128ea11b873cc707948d139f19b6d9711

Observation f8e2f455-75f5-49c6-9d7d-201335df45b7 · outbound

This paper cites an unresolved cited work.

On the structure of RCD spaces with upper curvature bounds Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:43:14.581093Z

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.

source=arxiv_source observed=2026-08-14T12:43:14.282831Z digest=sha256:a3dd04cddef00a23e14ae6771744012a78f92d5ca40733b4bf9b3614b8146320

Observation 7dee0ba8-76f3-490a-a807-06e03fa0ae1a · outbound

This paper cites I , Acta Math.

On the structure of RCD spaces with upper curvature bounds I , Acta Math

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:14.562234Z

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.

source=arxiv_source observed=2026-08-14T12:43:14.288018Z digest=sha256:e0d3a20101d96528ff0289e643fff90a513b0f5bb763dc6fbfc5cd1862bc3fea

Observation a4ac1063-cde5-4308-a738-24084c6a8eff · outbound

This paper cites II , Acta Math.

On the structure of RCD spaces with upper curvature bounds II , Acta Math

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:14.542869Z

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.

source=arxiv_source observed=2026-08-14T12:43:14.292769Z digest=sha256:848c051848cdaba5aded48b423cd4662602515a7a89fa0e8fa2d3bbfc149134e

Pith citing papers

No inbound Pith citation observations are available.