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Paper Citation Record · LEDGER

Non-collapsed eGH convergence and dimension

As of 10 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2509.22821.

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pith.paper-citation-record.v1
2509.22821 v2

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T14:54:31.741290Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

33 of 33 outbound references displayed

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External citation measurements

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Outbound references

Observation bfa3a384-0869-41a3-95b3-520de5c9bacc · outbound

This paper cites Ambrosio, N.

Non-collapsed eGH convergence and dimension Ambrosio, N

Reference 1

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source=arxiv_source observed=2026-08-04T14:54:27.743193Z digest=sha256:72caec93b4a50a698a7df10b16edde1c3b33c40e3f86cf33a9d266bebe4e866f

Observation c679af5a-d5e0-40b7-86a3-d09ac77da260 · outbound

This paper cites Stability and equivariant G romov- H ausdorff convergence.

Non-collapsed eGH convergence and dimension Stability and equivariant G romov- H ausdorff convergence

Reference 2

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source=arxiv_source observed=2026-08-04T14:54:27.814385Z digest=sha256:162995a40f02f4d919388be7276993e65d0ff874082f6ce0d68dd9edfffd10b5

Observation 9063018e-8aa2-4bec-98ac-c2e921524e2e · outbound

This paper cites The structure of approximate groups.

Non-collapsed eGH convergence and dimension The structure of approximate groups

Reference 3

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source=arxiv_source observed=2026-08-04T14:54:27.886556Z digest=sha256:801f0010e00cf816d6b032e62fe6fbe99666317217aa57ea327b273a91d7bdd9

Observation f3c58fb2-ad1b-44da-8b5b-acb6e3a8e9ac · outbound

This paper cites Localization and tensorization properties of the curvature-dimension condition for metric measure spaces.

Non-collapsed eGH convergence and dimension Localization and tensorization properties of the curvature-dimension condition for metric measure spaces

Reference 4

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source=arxiv_source observed=2026-08-04T14:54:27.982159Z digest=sha256:7abd212b12b1e93404be1de6ad27bf7f0b94cc536a9a9158e4a23a25dce73167

Observation ec7de3d4-0d55-44b8-b205-e2517d05d35e · outbound

This paper cites Constancy of the dimension for rcd (k,n) spaces via regularity of lagrangian flows.

Non-collapsed eGH convergence and dimension Constancy of the dimension for rcd (k,n) spaces via regularity of lagrangian flows

Reference 5

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source=arxiv_source observed=2026-08-04T14:54:28.051305Z digest=sha256:ee06689f570280d6618d89f4df7726c7e1d20a18e9fd6a30088c2d5a9e7466e0

Observation b2cb267f-5856-4c84-bb04-b71d73381f2a · outbound

This paper cites The globalization theorem for the curvature-dimension condition.

Non-collapsed eGH convergence and dimension The globalization theorem for the curvature-dimension condition

Reference 6

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source=arxiv_source observed=2026-08-04T14:54:28.152693Z digest=sha256:ef234fd0ed8467a05c72f735901ded10fd68c2416b062c5b7cf863ef66208a23

Observation abd90a5b-1c43-45b0-8ff3-7250b92cf1fa · outbound

This paper cites Sharp h \"o lder continuity of tangent cones for spaces with a lower ricci curvature bound and applications.

Non-collapsed eGH convergence and dimension Sharp h \"o lder continuity of tangent cones for spaces with a lower ricci curvature bound and applications

Reference 7

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source=arxiv_source observed=2026-08-04T14:54:28.222428Z digest=sha256:5440c00610fb328c1305f0059a8163027a8533012955e0d511af515c5f8f896b

Observation 75447c5f-b266-48dc-8ed8-d6642214236f · outbound

This paper cites Theory of convergence for riemannian orbifolds.

Non-collapsed eGH convergence and dimension Theory of convergence for riemannian orbifolds

Reference 8

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source=arxiv_source observed=2026-08-04T14:54:28.297449Z digest=sha256:62abab0486ed92894943cbe76908d41e13853e50cb77c28d17e2772eca3cb0cf

Observation 9c6a7b2e-832f-4a2d-a527-f9b0e9d4e67a · outbound

This paper cites The fundamental groups of almost non-negatively curved manifolds.

Non-collapsed eGH convergence and dimension The fundamental groups of almost non-negatively curved manifolds

Reference 9

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source=arxiv_source observed=2026-08-04T14:54:28.375460Z digest=sha256:79c8b8420db7d2324a5fa45577ec0c0807ec0ddf12bb023981c74d3fff6e0eb7

Observation 510e5f90-6088-4e3e-9a46-55f9753334fc · outbound

This paper cites Isometry groups of alexandrov spaces.

Non-collapsed eGH convergence and dimension Isometry groups of alexandrov spaces

Reference 10

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source=arxiv_source observed=2026-08-04T14:54:28.480602Z digest=sha256:87fe6d643446f492d842210495db5eed006dc8e64e365884d114afc55c20ff55

Observation 3960aa7b-9aa6-4551-878a-2aba2a0ffddb · outbound

This paper cites On quotients of spaces with ricci curvature bounded below.

Non-collapsed eGH convergence and dimension On quotients of spaces with ricci curvature bounded below

Reference 11

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source=arxiv_source observed=2026-08-04T14:54:28.554822Z digest=sha256:c1fb28f0970c6f1e7e56068ed95ae2c3b9c02c023820baa27a22f28374566b8d

Observation bd057d3d-6a57-446c-86cd-2b74e4d368db · outbound

This paper cites On the differential structure of metric measure spaces , volume 236 of Memoirs of the American Mathematical Society.

Non-collapsed eGH convergence and dimension On the differential structure of metric measure spaces , volume 236 of Memoirs of the American Mathematical Society

Reference 12

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source=arxiv_source observed=2026-08-04T14:54:28.668514Z digest=sha256:a107eabf8a76f52dea195b98bae43925061ee45da43231302f55dbe2d8477e4b

Observation 8f934bc7-5490-4e6e-9ecd-a247a71e7836 · outbound

This paper cites an unresolved cited work.

Non-collapsed eGH convergence and dimension Unresolved cited work

Reference 13

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source=arxiv_source observed=2026-08-04T14:54:28.777334Z digest=sha256:be0984ab0cfcd456e270c70040556d47c21975b93ee28b5b3039b6b6456c2473

Observation b6df23e8-2454-4917-8b12-8721e14e832e · outbound

This paper cites Groups of polynomial growth and expanding maps.

Non-collapsed eGH convergence and dimension Groups of polynomial growth and expanding maps

Reference 14

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source=arxiv_source observed=2026-08-04T14:54:28.850971Z digest=sha256:deaf3a12e2ae99c7730f7b9e2472df64a816392fc213de8ba20d07baad4138e7

Observation 00aa81e8-c2e5-4267-8315-51f0e242bd49 · outbound

This paper cites On the isometry group of rcd\(^*\)(k,n)-spaces.

Non-collapsed eGH convergence and dimension On the isometry group of rcd\(^*\)(k,n)-spaces

Reference 15

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source=arxiv_source observed=2026-08-04T14:54:28.963264Z digest=sha256:fa85d9b431b859744a984a8a5d49cb616beeea153244bc3c89c82a9d9c1cdf23

Observation cbc79a57-b798-4d74-880e-4a884abc492b · outbound

This paper cites Convergence of isometries, with semicontinuity of symmetry of alexandrov spaces.

Non-collapsed eGH convergence and dimension Convergence of isometries, with semicontinuity of symmetry of alexandrov spaces

Reference 16

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source=arxiv_source observed=2026-08-04T14:54:29.125860Z digest=sha256:801090748b5dffc92e76edb53c3139de59bf379d0d829681a7c94c3104227dc0

Observation e101cdb3-77d1-47b5-ab13-296a1904f3ea · outbound

This paper cites Stable group theory and approximate subgroups.

Non-collapsed eGH convergence and dimension Stable group theory and approximate subgroups

Reference 17

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source=arxiv_source observed=2026-08-04T14:54:29.295045Z digest=sha256:125e87e59f346cd3ee710acc4673a6dc31da668162da840f382748fb6c3903c8

Observation 790ca699-2b30-4bac-a226-f7ba89858e0b · outbound

This paper cites On the topology and the boundary of n-dimensional rcd(k,n) spaces.

Non-collapsed eGH convergence and dimension On the topology and the boundary of n-dimensional rcd(k,n) spaces

Reference 18

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source=arxiv_source observed=2026-08-04T14:54:29.433760Z digest=sha256:d424b41017189f1de3b34ef5cf0a42b5d9b819d98821152aa24d43d7994135cc

Observation 4aad6f20-33af-4d13-a00c-8baa2813bf9f · outbound

This paper cites Nilpotency, almost nonnegative curvature, and the gradient flow on alexandrov spaces.

Non-collapsed eGH convergence and dimension Nilpotency, almost nonnegative curvature, and the gradient flow on alexandrov spaces

Reference 19

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source=arxiv_source observed=2026-08-04T14:54:29.598379Z digest=sha256:fdca7051fcdaf61fa579ce2ba5c9fc965ab140a26f6d838c9d8963050bac2139

Observation 18bd1046-3732-406b-9383-077fb7925f1e · outbound

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

Non-collapsed eGH convergence and dimension Structure of fundamental groups of manifolds with ricci curvature bounded below

Reference 20

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source=arxiv_source observed=2026-08-04T14:54:29.816233Z digest=sha256:767a36bdd3e553cba9eea826cd21b8189c780951960d244222db1c469013efa7

Observation da82b2ce-1cda-43b8-be06-aaacec1d5068 · outbound

This paper cites The globalization theorem for cd (k,n) on locally finite spaces.

Non-collapsed eGH convergence and dimension The globalization theorem for cd (k,n) on locally finite spaces

Reference 21

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source=arxiv_source observed=2026-08-04T14:54:30.017903Z digest=sha256:feb5e2827272a1004042430879a1497ba02d626057ab1c928501b1116dcf21e0

Observation 02b6c692-0e11-47b3-b5be-aec0538e488a · outbound

This paper cites Ricci curvature for metric-measure spaces via optimal transport.

Non-collapsed eGH convergence and dimension Ricci curvature for metric-measure spaces via optimal transport

Reference 22

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source=arxiv_source observed=2026-08-04T14:54:30.192001Z digest=sha256:a879a1720143b335f413aa9855b3bf703a33ea7b329b623c80f24bca34723350

Observation ef04bc63-e081-4c0a-85c0-a425fe3e387d · outbound

This paper cites Pure Metric Geometry.

Non-collapsed eGH convergence and dimension Pure Metric Geometry

Reference 23

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source=arxiv_source observed=2026-08-04T14:54:30.422168Z digest=sha256:3eb1378e1d10ac248c43fbc1b997ec1f2aaa75a1e9415e65586460b3fe238284

Observation 030f7bc2-31a0-48cd-b57e-bd27a339ba7e · outbound

This paper cites Ricci curvature and isometric actions with scaling nonvanishing property.

Non-collapsed eGH convergence and dimension Ricci curvature and isometric actions with scaling nonvanishing property

Reference 24

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source=arxiv_source observed=2026-08-04T14:54:30.608561Z digest=sha256:885c33443cc924fc50882a7b8dbe77613349e9295e9be2ce88a8a176fb82d93d

Observation c191e31a-d16c-46ca-ae9d-1e6dd39b66f5 · outbound

This paper cites Nonnegative ricci curvature, splitting at infinity, and first betti number rigidity.

Non-collapsed eGH convergence and dimension Nonnegative ricci curvature, splitting at infinity, and first betti number rigidity

Reference 25

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source=arxiv_source observed=2026-08-04T14:54:30.718384Z digest=sha256:bb43c80c4e1bbae5cffad970f20b98c30c2886d06c2075052f11294a918f2a3b

Observation b64a942c-e269-4ea5-aae2-157b0e903f42 · outbound

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

Non-collapsed eGH convergence and dimension Collapsed manifolds with local ricci bounded covering geometry

Reference 26

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source=arxiv_source observed=2026-08-04T14:54:30.810179Z digest=sha256:248904f0591f5416af792d2b12ca12d424b87582498b137dc62c8cf8b26f28e9

Observation 87d9aa4f-df1b-4021-b8d5-4632dff15e81 · outbound

This paper cites The isometry group of an rcd\(^*\) space is lie.

Non-collapsed eGH convergence and dimension The isometry group of an rcd\(^*\) space is lie

Reference 27

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source=arxiv_source observed=2026-08-04T14:54:30.894064Z digest=sha256:cd9feeb9d0bcea381c34e670e8f4fef6e2436494ec6c44d099186ae5d7a53274

Observation f984d3a1-ebcb-4233-98bd-b989e0fd65b2 · outbound

This paper cites Invariant measures and lower ricci curvature bounds.

Non-collapsed eGH convergence and dimension Invariant measures and lower ricci curvature bounds

Reference 28

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source=arxiv_source observed=2026-08-04T14:54:30.942666Z digest=sha256:61f8ceee7cd5f8e1a3e6f7ee5cde2ca1c9c1c81b71242a889775fea33136b4cf

Observation 811e1f12-fcdf-4ec4-b39c-780f895dc6e9 · outbound

This paper cites On fundamental groups of rcd spaces.

Non-collapsed eGH convergence and dimension On fundamental groups of rcd spaces

Reference 29

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source=arxiv_source observed=2026-08-04T14:54:31.112531Z digest=sha256:83ab7d9fddc5cd08483659c8b15f529801f655cdbfa5cb58887d8fc85ce39c65

Observation 7632be6b-1b05-4450-a582-75172b29fe96 · outbound

This paper cites On the geometry of metric measure spaces.

Non-collapsed eGH convergence and dimension On the geometry of metric measure spaces

Reference 30

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source=arxiv_source observed=2026-08-04T14:54:31.280353Z digest=sha256:85cccd9c89eacc9ccec9334ecd25d62784a4e9dc9d2e6a706d5c6c44bf6f6dd3

Observation 0c052bcf-2b50-494c-b018-0309e2ceb8fd · outbound

This paper cites an unresolved cited work.

Non-collapsed eGH convergence and dimension Unresolved cited work

Reference 31

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source=arxiv_source observed=2026-08-04T14:54:31.417479Z digest=sha256:08c8e5dba2ef8314a251336656c28aa46136b6326e4276bac9f4e0388082dc22

Observation e030a86e-02c8-4749-af4d-69b134904b7c · outbound

This paper cites On the conjecture of iwasawa and gleason.

Non-collapsed eGH convergence and dimension On the conjecture of iwasawa and gleason

Reference 32

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source=arxiv_source observed=2026-08-04T14:54:31.547158Z digest=sha256:69c095ac9d9dc8e517d22786d41c48964fc9750bc338ff9723d3c96318117a94

Observation 62b69cca-19d2-4786-b7b3-def07e917cdd · outbound

This paper cites Anderson finiteness for rcd spaces.

Non-collapsed eGH convergence and dimension Anderson finiteness for rcd spaces

Reference 33

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source=arxiv_source observed=2026-08-04T14:54:31.741290Z digest=sha256:117165eb0199d068c739cf5f5b54ca7f921ac953a0299d86455497816a33f603

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