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Paper Citation Record · LEDGER

On the structure of RCD spaces with upper curvature bounds

As of 20 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 2026-08-20T06:33:59.587034+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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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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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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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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.084369Z digest=sha256:a209ce013986bee962e5a74ecdc2cad353892b9ca641efe958b28f29bf5fba52

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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no resolver link, observed 2026-08-14T12:43:14.090797Z

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source=arxiv_source observed=2026-08-14T12:43:14.090797Z digest=sha256:0191380244fe452f5f82fad876d0d66f66e9cafccb64a525cfab076a6f2a7a6d

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.096630Z digest=sha256:9e5d72b044dc7e39f8d4ce882f7f1dc0e8a9a1c74bb847a71f08130eee7c85da

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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source=arxiv_source observed=2026-08-14T12:43:14.103120Z digest=sha256:60e15fa8194f126dbfe561513624a40d41453d1c8b87d29ddd079570365c3a03

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.108540Z digest=sha256:10dc63c6635d51c362c18999e50593da9735b573396e6353e7abaff1c4b62ce4

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 2026-08-20T06:33:59.587034+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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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

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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 2026-08-20T06:33:59.587034+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

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source=arxiv_source observed=2026-08-14T12:43:14.169162Z digest=sha256:391b37fff9a01a008a07d6eada25ea9d7e06f09cbef5ab1250a4a644ab2c80dd

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

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:43:14.466227Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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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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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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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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 2026-08-20T06:33:59.587034+00:00.

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

This paper cites an unresolved cited work.

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 2026-08-20T06:33:59.587034+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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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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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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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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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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.268158Z digest=sha256:762b90e3f75875b53f3cbb798805c513e6b309ca964e2a032209c156d0b03916

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.272988Z digest=sha256:67b178df34aeb5cd19aa7111fa55cb0bc715346ef052459334046bc2c86df61a

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.278017Z digest=sha256:f3fc1a6fc980443d0a0a8f8139dc98b0f315d6f30a0e120b63ce1cc0f5b29d29

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.282831Z digest=sha256:f0c24a2cca393ad7278e6e7bfc8211aeeba557f7f6ddc5a3a250e8b28122bb76

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.288018Z digest=sha256:baa73f566bf2172d7a2a584bd9e2e7ee7ed46e3b0b0f76d571ab2661588d9ea8

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.292769Z digest=sha256:dd5bd425fba606914fcc04fdd0f1a35afa0cdb2268df11ea05b88fb00f500bec

Pith citing papers

No inbound Pith citation observations are available.