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Paper Citation Record · LEDGER

On the structure of RCD spaces with upper curvature bounds

As of 23 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 2026-08-23T06:30:58.430688+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

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.063227Z digest=sha256:2cd4a80329ce62496a0d8fcf64afb14b87997b1d99b41476d1057e8ba55ff6c2

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.069754Z digest=sha256:ba1114ab1bc6cb966a92a5a493926d0684776d8816ad0ade970f31a804a16879

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.075056Z digest=sha256:916bac55c8ed4e18ac9651bd5b7444b1f37f4b1bd04da2cb4c87f50038a2b4da

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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raw_fallback, observed 2026-08-14T12:43:15.037932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.084369Z digest=sha256:251bd5069bbb49a2461ba2485b722b80e654dc95f2ff98fbc042e2e66308efde

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

Source-reported events for the cited work

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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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.096630Z digest=sha256:2e54b5a854858587e329584cfcdef88e2dc556277acbf71b017878a55aa351a9

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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Unavailable: canonical work link unavailable.

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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raw_fallback, observed 2026-08-14T12:43:14.987377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.108540Z digest=sha256:906899a2c322c594e3aa9c1fe2447c890e0922a786094beb3681a91bc4a56085

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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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.113277Z digest=sha256:cbedd73a3542eb80e88269532d8180c483176b6afa553b6ffa0a31b30581e0ec

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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verified fuzzy
raw_fallback, observed 2026-08-14T12:43:14.952302Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.118099Z digest=sha256:bfda3afdf7c0c209da8a5e4632f95e6682b9112336388fbc72a7fc1c993cc0f0

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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source=arxiv_source observed=2026-08-14T12:43:14.123896Z digest=sha256:9e4983f8a92efca2898778efa09c41f78dec6ddb8e64598276efb01d07c52926

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 2026-08-23T06:30:58.430688+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

This paper cites an unresolved cited work.

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

Reference 14

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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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 2026-08-23T06:30:58.430688+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

Resolution
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no resolver link, observed 2026-08-14T12:43:14.163991Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T12:43:14.163991Z digest=sha256:ad086c9b89e24a00b94c2b440296644c59b1f6dd3db7b0f2185acae3dc6cbbb1

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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no resolver link, observed 2026-08-14T12:43:14.169162Z

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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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.174407Z digest=sha256:b8db7a99f9dd7026f7faee13c6e96b4fe34dd91fea5eb39e2e768206c9b3fd66

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
local_arxiv, observed 2026-08-14T12:43:14.442092Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

This paper cites an unresolved cited work.

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 2026-08-23T06:30:58.430688+00:00.

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

This paper cites an unresolved cited work.

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

Reference 24

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

This paper cites an unresolved cited work.

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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.205540Z digest=sha256:b3eb1bc344e2609e91b961030d0a529c862f688875610daaadcdf08aeb7fe335

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

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:43:14.419439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.210173Z digest=sha256:36ed51ad1c127a01ebbdece7dde38b5d4d3e3a0b6c02a2e8dfaba3b02249cf75

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

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.215812Z digest=sha256:2970c0c7d5491d803e2ba1f3c4f457e82d0e2125437c5859e427a017dffda00c

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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+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

Resolution
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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+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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source=arxiv_source observed=2026-08-14T12:43:14.238793Z digest=sha256:d65a9931befab2e44c9d29531606d729a63c5edad98a11d7a1b2c26f19ad5601

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

This paper cites an unresolved cited work.

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 2026-08-23T06:30:58.430688+00:00.

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

This paper cites an unresolved cited work.

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

Reference 34

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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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 2026-08-23T06:30:58.430688+00:00.

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

This paper cites an unresolved cited work.

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

Reference 36

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source=arxiv_source observed=2026-08-14T12:43:14.258718Z digest=sha256:7c9e5fdda3386e009ac88fb31c2c5b2b8c920f3828e529789bcf8e7cf5c30f8a

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=sha256:2cc969f4f89b30778637b1458272c97c5477ad59aee0f813c4a177ed1f11c5c3

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.268158Z digest=sha256:6353c3ad6e148c8bf19de3772b1b040f5dc332d46cf1ca247f39e8224f70cc77

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.272988Z digest=sha256:f17a4b710694eb816f3ef54376ad4e02aa4c311ce8fd4190411c7fa3a30dbe43

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.278017Z digest=sha256:28b71f974cdf6d6f25355f9b8c3391184d0ee6e0a417fbe30a9ab45df04e9b10

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.282831Z digest=sha256:c06ebe0d4ce7a65af0f8347ecca71cdd9ff08728e05af1606629409ab0913f6b

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.288018Z digest=sha256:bdb6d6dbc3f8068c25a43ed75e0b77bc84c6113c9a054c11366483cef5e97ed7

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T12:43:14.292769Z digest=sha256:2eff588f4aff7a5bcf241794acf7cf971b172ce9bff446384e73e77824a0f7fb

Pith citing papers

No inbound Pith citation observations are available.