Paper Citation Record · LEDGER

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds

As of 10 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2502.03259.

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

pith.paper-citation-record.v1
2502.03259 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T05:29:39.868319Z

measured 41 of 41 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-08T11:34:31.099595Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-08T11:34:50.901680Z

Reference resolution

40 of 40 outbound references displayed

verified exact0
verified fuzzy11
unresolved29
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d0ec00e4-4287-4a23-bc94-8b2abb40111c · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.583716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7f42afa2-b5ea-4359-9193-13707f37aab7 · outbound

This paper cites U ber die bewegungsgruppen der euklidischen r\.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds U ber die bewegungsgruppen der euklidischen r\

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T05:29:40.574090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8410cee3-1086-4db7-bda9-77ae11140f2f · outbound

This paper cites Bru\` e , A.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Bru\` e , A

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-09T05:29:39.737019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5f3d12a-adb6-4857-94c9-47f70f95a9fc · outbound

This paper cites Bru\` e , A.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Bru\` e , A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T05:29:40.564805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f8508987-5d37-48e5-a33d-141fcf32488b · outbound

This paper cites Topological regularity and stability of noncollapsed spaces with Ricci curvature bounded below.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Topological regularity and stability of noncollapsed spaces with Ricci curvature bounded below

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-09T05:29:39.744094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9acd0cf-2e62-48a3-9247-f1ae81614e96 · outbound

This paper cites Cheeger and T.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Cheeger and T

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T05:29:40.555018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b831ac8c-e845-4d1c-bac7-f986c3487569 · outbound

This paper cites Cheeger and T.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Cheeger and T

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T05:29:40.543072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 679963ad-c878-45c1-a66d-1857db986308 · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.532882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e5d203e1-4ff7-480c-92a1-2cb7ebf5896d · outbound

This paper cites Cheeger and A.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Cheeger and A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T05:29:40.522519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation eea0342a-8877-439a-8f07-ba75e714c837 · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.511482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f1a942fb-ddc9-473d-90e5-fa6adea4fd31 · outbound

This paper cites u rzeste wege und totalkr\.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds u rzeste wege und totalkr\

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T05:29:40.502183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 868c9e8a-9ab6-42eb-a343-7a14e1d28b08 · outbound

This paper cites De Philippis and N.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds De Philippis and N

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T05:29:40.491936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a0fc64cd-5614-4a70-9f7f-2a2af674ab14 · outbound

This paper cites Fukaya and T.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Fukaya and T

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T05:29:40.480864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 51d6736d-29bf-4a19-8872-819affb0dd1e · outbound

This paper cites Galaz-Garcia, M.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Galaz-Garcia, M

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T05:29:40.470455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b4d6f7ea-f813-4296-ad6b-909d5d4766dd · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.459836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7dd2f891-0677-4d4a-b001-b8697c31fea3 · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.449497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c20f5a73-4128-418c-9f18-b1db69f3115b · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.438952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f2a46cea-73cf-4c28-bc08-c3e31612a795 · outbound

This paper cites Ketterer.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Ketterer

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T05:29:40.428025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ae83d8fd-c3f6-44a3-9f9c-a4cf74410e3a · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.416117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 72303d08-8b19-4a58-a110-9349657bfb99 · outbound

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

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Structure of fundamental groups of manifolds with Ricci curvature bounded below

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-09T05:29:39.795107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74e2ee52-545d-4512-9da5-52e4cb7ee5d3 · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.406170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 468f489e-b351-40b8-95fe-00d24de5a0da · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.395475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 01118934-425d-4422-8d2f-380152c1d9a7 · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.384593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7f2daa4a-d656-4b57-bd7d-9e08a9f400d9 · outbound

This paper cites Mazur, X.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Mazur, X

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T05:29:40.374271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 53531fc5-3b93-4068-a11a-fcb77fab1e7a · outbound

This paper cites On the topology of manifolds with nonnegative Ricci curvature and linear volume growth.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds On the topology of manifolds with nonnegative Ricci curvature and linear volume growth

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-09T05:29:39.815388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c16a252f-6c33-4693-9802-199a3c9c6532 · outbound

This paper cites Nonnegative Ricci curvature, almost stability at infinity, and structure of fundamental groups.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Nonnegative Ricci curvature, almost stability at infinity, and structure of fundamental groups

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-09T05:29:39.819667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a094c82-3939-4498-94a8-a9eac09eb863 · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.363460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1d19a8f4-03df-4858-93c9-5ebf697dbc6f · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.352981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 772fa8aa-52ea-4753-a641-0f8ed1145386 · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.342407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 71a3ab90-de2e-402b-b583-2e0213b91b63 · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.331363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 02821229-cb27-4071-84cb-759fc26fce3f · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.321216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 23e774a6-9b50-4901-ab72-d586b86c370f · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.309858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4c80cd74-3241-4919-b591-1951adef7b3c · outbound

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

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Ricci curvature and isometric actions with scaling nonvanishing property

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-09T05:29:39.844367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b37e3841-b918-41ea-b634-acd7789d4189 · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.298301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation cc886394-ccfc-4414-80a0-c28b2af10c0b · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.285734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bc0cd9fa-00ba-486d-bfa1-cde97305c9e0 · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.272757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 468d47a6-e660-43eb-88a9-e0aa40fa8cf0 · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.262227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7b4e6e7f-13d7-4e02-9bf1-aa05e160b715 · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.250991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f6d00ce2-c1cc-42a6-9dba-764fa9a0058b · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.239112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 781fceb0-68bd-4eb6-8a04-dc385f45ac98 · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-09T05:29:40.225996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

Observation 4cb09c7b-11bc-4958-85c4-746a71d1cb31 · inbound

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls cites this paper.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-07-08T11:34:50.903336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.