Paper Citation Record · LEDGER

On the non-collapsed RCD spaces with local bounded covering geometry

As of 14 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2412.06131.

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

pith.paper-citation-record.v1
2412.06131 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:11:34.868407Z

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One-hop event checks from named stored sources.

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Pith citing papers itemized under the disclosed page cap.

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

Source: cited_works

Reference resolution

46 of 46 outbound references displayed

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External citation measurements

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Outbound references

Observation 8a921cfa-8cc3-4026-8671-ef5040dce9b1 · outbound

This paper cites Ambrosio and S.

On the non-collapsed RCD spaces with local bounded covering geometry Ambrosio and S

Reference 1

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Observation 38b85815-401d-45b3-9433-e25f28338bd2 · outbound

This paper cites Anderson.

On the non-collapsed RCD spaces with local bounded covering geometry Anderson

Reference 2

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Observation 62f6c0ed-de08-4045-bea2-c2e02bf3a1c2 · outbound

This paper cites The structure of approxi mate groups.

On the non-collapsed RCD spaces with local bounded covering geometry The structure of approxi mate groups

Reference 3

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On the non-collapsed RCD spaces with local bounded covering geometry Unresolved cited work

Reference 4

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Observation 5e44f088-1be2-4dc1-987c-5ba1714e0d14 · outbound

This paper cites Brue and D.

On the non-collapsed RCD spaces with local bounded covering geometry Brue and D

Reference 5

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Observation 6e8f9cde-0ccb-4515-a308-f6a1b77dbfab · outbound

This paper cites Gromovs almost ﬂat manifolds.

On the non-collapsed RCD spaces with local bounded covering geometry Gromovs almost ﬂat manifolds

Reference 6

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On the non-collapsed RCD spaces with local bounded covering geometry Unresolved cited work

Reference 7

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On the non-collapsed RCD spaces with local bounded covering geometry Unresolved cited work

Reference 8

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This paper cites Nilpoten t structures and invariant metrics on collapsed manifolds.

On the non-collapsed RCD spaces with local bounded covering geometry Nilpoten t structures and invariant metrics on collapsed manifolds

Reference 9

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Observation bfb10cd2-a4ac-44e5-8f9e-4bce30e00e1b · outbound

This paper cites Collapsing Riemannian manifolds while keeping their curvature bounded.

On the non-collapsed RCD spaces with local bounded covering geometry Collapsing Riemannian manifolds while keeping their curvature bounded

Reference 10

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This paper cites Collapsing Riemannian manifolds while keeping their curvature bounded.

On the non-collapsed RCD spaces with local bounded covering geometry Collapsing Riemannian manifolds while keeping their curvature bounded

Reference 11

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Observation 0c488216-3704-41c8-9ef4-74a936db42f0 · outbound

This paper cites Rectiﬁab ility of singular sets of noncollapsed limit spaces with Ricci curvature bounded below.

On the non-collapsed RCD spaces with local bounded covering geometry Rectiﬁab ility of singular sets of noncollapsed limit spaces with Ricci curvature bounded below

Reference 12

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Observation a9f59ed7-1fbf-4966-8e3b-325b49b6a131 · outbound

This paper cites Regularity of Einstein man ifolds and the codimension 4 conjecture.

On the non-collapsed RCD spaces with local bounded covering geometry Regularity of Einstein man ifolds and the codimension 4 conjecture

Reference 13

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Observation 0c847bc3-6949-4c2f-84c8-81ffaf33f6f2 · outbound

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On the non-collapsed RCD spaces with local bounded covering geometry Unresolved cited work

Reference 14

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Observation 291fcd41-6ad0-4bb0-bfb5-adcbc0034a31 · outbound

This paper cites Theory of convergence for riemannian orb ifolds.

On the non-collapsed RCD spaces with local bounded covering geometry Theory of convergence for riemannian orb ifolds

Reference 15

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Observation 7a9abfec-41f4-4e61-aeef-72c6821af984 · outbound

This paper cites Collapsing Riemannian manifolds to ones of lower dimensions.

On the non-collapsed RCD spaces with local bounded covering geometry Collapsing Riemannian manifolds to ones of lower dimensions

Reference 16

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Observation 60ece273-5c67-46a5-8cf7-37bf11bb5abc · outbound

This paper cites A boundary of the set of the Riemannian man ifolds with bounded curvatures and diameters.

On the non-collapsed RCD spaces with local bounded covering geometry A boundary of the set of the Riemannian man ifolds with bounded curvatures and diameters

Reference 17

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This paper cites Collapsing Riemannian manifolds to ones with lower dimension II.

On the non-collapsed RCD spaces with local bounded covering geometry Collapsing Riemannian manifolds to ones with lower dimension II

Reference 18

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Observation 89b7b62f-3211-4fd4-935e-159ce2b07685 · outbound

This paper cites The fundamental grou ps of almost nonnegatively curved manifolds.

On the non-collapsed RCD spaces with local bounded covering geometry The fundamental grou ps of almost nonnegatively curved manifolds

Reference 19

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Observation f4f95af4-97a8-4a42-8e84-ae8e8733a8c3 · outbound

This paper cites Almost ﬂat manifolds.

On the non-collapsed RCD spaces with local bounded covering geometry Almost ﬂat manifolds

Reference 20

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Observation 929564b3-29ac-4921-814c-adb5e2b9f2fb · outbound

This paper cites On the isome try group of RCD ∗(K,N)-spaces.

On the non-collapsed RCD spaces with local bounded covering geometry On the isome try group of RCD ∗(K,N)-spaces

Reference 21

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Observation 7e3490c4-3db9-410d-9dde-f44bd3c61a27 · outbound

This paper cites Honda and Y.

On the non-collapsed RCD spaces with local bounded covering geometry Honda and Y

Reference 22

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Observation 1592b5f8-243a-4660-865b-26500c666c5c · outbound

This paper cites Fibrations, and stability for compact g roup actions on manifolds with local bounded Ricci covering geometry.

On the non-collapsed RCD spaces with local bounded covering geometry Fibrations, and stability for compact g roup actions on manifolds with local bounded Ricci covering geometry

Reference 23

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This paper cites Collapsed manifolds with Ricci bounded covering geometry.

On the non-collapsed RCD spaces with local bounded covering geometry Collapsed manifolds with Ricci bounded covering geometry

Reference 24

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Observation 998ced72-c209-4406-97a9-053a159af772 · outbound

This paper cites Lower Ricci Curvature and Nonexistence of Manifold Structure.

On the non-collapsed RCD spaces with local bounded covering geometry Lower Ricci Curvature and Nonexistence of Manifold Structure

Reference 25

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This paper cites Mixed curvature almost ﬂat manifold s.

On the non-collapsed RCD spaces with local bounded covering geometry Mixed curvature almost ﬂat manifold s

Reference 26

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Observation ab38af4f-1ccc-4fa0-8b99-b6e42c2e7f82 · outbound

This paper cites On the structure of RCD spaces with upper curvature bounds.

On the non-collapsed RCD spaces with local bounded covering geometry On the structure of RCD spaces with upper curvature bounds

Reference 27

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Observation 2ded10b3-f6e7-43f3-a81d-0266a4e31a12 · outbound

This paper cites Structure of fundamental groups of manifolds with Ricci curvature bounded below.

On the non-collapsed RCD spaces with local bounded covering geometry Structure of fundamental groups of manifolds with Ricci curvature bounded below

Reference 28

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Observation 2d422e51-cdc3-4b52-b5b7-e96639a319dc · outbound

This paper cites A suﬃcient condition to a regular set of po sitive measure on RCD spaces.

On the non-collapsed RCD spaces with local bounded covering geometry A suﬃcient condition to a regular set of po sitive measure on RCD spaces

Reference 29

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Observation 7d038c7c-e758-44a5-8fd1-3547085321cb · outbound

This paper cites Lee and F.

On the non-collapsed RCD spaces with local bounded covering geometry Lee and F

Reference 30

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This paper cites On the universal cover a nd the fundamental group of an RCD∗(K, N)-space.

On the non-collapsed RCD spaces with local bounded covering geometry On the universal cover a nd the fundamental group of an RCD∗(K, N)-space

Reference 31

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This paper cites Some topological results of Ricci limit spaces.

On the non-collapsed RCD spaces with local bounded covering geometry Some topological results of Ricci limit spaces

Reference 32

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This paper cites De Philippis and N.

On the non-collapsed RCD spaces with local bounded covering geometry De Philippis and N

Reference 33

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This paper cites A New Proof of the Gromov's Theorem on Almost Flat Manifolds.

On the non-collapsed RCD spaces with local bounded covering geometry A New Proof of the Gromov's Theorem on Almost Flat Manifolds

Reference 34

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This paper cites Collapsed manifolds with local Ricci bounded covering geometry.

On the non-collapsed RCD spaces with local bounded covering geometry Collapsed manifolds with local Ricci bounded covering geometry

Reference 35

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On the non-collapsed RCD spaces with local bounded covering geometry Unresolved cited work

Reference 36

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Observation 9b2875f7-04a2-4a7b-8b3c-19e0b040742c · outbound

This paper cites On fundamen tal groups of RCD spaces.

On the non-collapsed RCD spaces with local bounded covering geometry On fundamen tal groups of RCD spaces

Reference 37

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Observation 405f97a6-f5c8-4afa-ac32-414e5def437a · outbound

This paper cites Universal covers fo r Hausdorﬀ limits of noncompact spaces.

On the non-collapsed RCD spaces with local bounded covering geometry Universal covers fo r Hausdorﬀ limits of noncompact spaces

Reference 38

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This paper cites The isometry group of an RCD ∗ space is Lie.

On the non-collapsed RCD spaces with local bounded covering geometry The isometry group of an RCD ∗ space is Lie

Reference 39

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This paper cites On the limit of simply connected manifolds with discrete isometric cocompact group actions.

On the non-collapsed RCD spaces with local bounded covering geometry On the limit of simply connected manifolds with discrete isometric cocompact group actions

Reference 40

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Observation 424a6daf-4299-4008-b215-e039579e764f · outbound

This paper cites RCD ∗(K,N) spaces are semi-locally simply connected.

On the non-collapsed RCD spaces with local bounded covering geometry RCD ∗(K,N) spaces are semi-locally simply connected

Reference 41

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Observation e8ecf98c-ba94-482d-9193-c0e3e5ddba1d · outbound

This paper cites Ricci limit spaces are semi-locally simpl y connected.

On the non-collapsed RCD spaces with local bounded covering geometry Ricci limit spaces are semi-locally simpl y connected

Reference 42

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Observation 82f628c5-69e8-4f5d-b234-664853bd480b · outbound

This paper cites Precompactness of domains with lower Ricc i curvature bound under Gromov- Hausdorﬀ topology.

On the non-collapsed RCD spaces with local bounded covering geometry Precompactness of domains with lower Ricc i curvature bound under Gromov- Hausdorﬀ topology

Reference 43

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This paper cites Limits of almost homogeneous spaces and their fundamental groups.

On the non-collapsed RCD spaces with local bounded covering geometry Limits of almost homogeneous spaces and their fundamental groups

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:11:35.247249Z

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Observation 2f2f454a-3b89-42f8-9033-ca56b1967bee · outbound

This paper cites Topological rigidity of s mall RCD(K,N) spaces with maximal rank.

On the non-collapsed RCD spaces with local bounded covering geometry Topological rigidity of s mall RCD(K,N) spaces with maximal rank

Reference 45

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Observation 0a397929-5888-4a30-8b48-e0cd27f3ba14 · outbound

This paper cites Examples of Ricci limit spaces with infinite holes.

On the non-collapsed RCD spaces with local bounded covering geometry Examples of Ricci limit spaces with infinite holes

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-11T20:11:34.868407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

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