Paper Citation Record · LEDGER

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls

As of 10 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2607.06277.

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

pith.paper-citation-record.v1
2607.06277 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

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

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

28 of 28 outbound references displayed

verified exact5
verified fuzzy13
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 67f108d2-42d9-4619-b4b7-5f9a2a1df1e2 · outbound

This paper cites an unresolved cited work.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-07-08T11:34:50.955448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0798a728-b7e5-4c0d-878d-4c38e72f4272 · outbound

This paper cites Ambrosio, S.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Ambrosio, S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T11:34:50.938748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b1e60752-e4ba-4807-afe0-8fe5da62a1b2 · outbound

This paper cites Bru` e, A.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Bru` e, A

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-07-08T11:34:50.889993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ef1ccd15-e6dc-4f56-ac1d-f96db8a22638 · outbound

This paper cites Bru` e, A.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Bru` e, A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T11:34:50.936763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a49176cc-e859-4379-843a-1db9cfd2c6dc · outbound

This paper cites Naber, D.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Naber, D

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T11:34:50.953682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 79dbad2d-d6bc-4e4b-bd4e-25d04dbe304f · outbound

This paper cites Bru´ e, E.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Bru´ e, E

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T11:34:50.961111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 15c0f970-a389-4906-9e8c-4705cfc136fa · outbound

This paper cites Cheeger, T.H.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Cheeger, T.H

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T11:34:50.957450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation da15d34c-71ba-44b5-9899-8b04efe01758 · outbound

This paper cites Cheeger, T.H.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Cheeger, T.H

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T11:34:50.963153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9b3faf77-e124-49a1-9a05-3b0edd797408 · outbound

This paper cites Cheeger, W.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Cheeger, W

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T11:34:50.964919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1291c3d9-61f5-4f7d-8697-baeb5ad8591c · outbound

This paper cites Cheeger, A.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Cheeger, A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T11:34:50.944648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5395c36c-0c13-4e69-89bd-a3ee90f1d382 · outbound

This paper cites Colding, A.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Colding, A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T11:34:50.934804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8c8282a8-0cc9-435b-b21f-30a29fdef7f0 · outbound

This paper cites Cohn-Vossen.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Cohn-Vossen

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T11:34:50.927021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 659099bd-9195-49ec-8835-8e948c63bf5a · outbound

This paper cites Huang, X.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Huang, X

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T11:34:50.959372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

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

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 2026-08-09T06:31:02.800959+00:00.

Observation 8abc4e06-cd49-4fb4-b04a-3a7ccd3aaecc · outbound

This paper cites an unresolved cited work.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Unresolved cited work

Reference 15

Resolution: verified exact; doi, observed 2026-07-08T11:34:50.883608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c2730e7a-e54c-4c2b-85a9-deda6f6ff940 · outbound

This paper cites an unresolved cited work.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-07-08T11:34:50.950281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f97daa82-e854-4c87-a76c-d2922c58a9f1 · outbound

This paper cites an unresolved cited work.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-07-08T11:34:50.940836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2051770d-ca05-49d1-9710-921d3ace87d8 · outbound

This paper cites an unresolved cited work.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-07-08T11:34:50.952011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation af20ef46-136b-482c-91e1-a2620418bda5 · outbound

This paper cites Mondino, A.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Mondino, A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T11:34:50.932857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 89d459d9-94a1-4525-8410-fadd0adc7cef · outbound

This paper cites Kapovitch, B.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Kapovitch, B

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T11:34:50.924686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0027b3af-e5b6-41a7-848c-48fdae5835cd · outbound

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

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Nonnegative Ricci curvature, almost stability at infinity, and structure of fundamental groups

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-07-08T11:34:50.899623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 19bd6026-57dd-4bde-8474-85875d92aea4 · outbound

This paper cites an unresolved cited work.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-07-08T11:34:50.948075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7c5d33b1-bf35-4b4c-99ba-45e00464c3fa · outbound

This paper cites an unresolved cited work.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-07-08T11:34:50.921970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4ccf9be1-d5f6-4c91-b62b-10a16d64581e · outbound

This paper cites an unresolved cited work.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-07-08T11:34:50.930740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3c6f4dc5-fc84-487d-80ca-1ef6285ed8c1 · outbound

This paper cites an unresolved cited work.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-07-08T11:34:50.946204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 29d3f786-8a68-4692-85cc-a23a5ebdc374 · outbound

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

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Ricci curvature and isometric actions with scaling nonvanishing property

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-07-08T11:34:50.896433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 448ad640-2c0c-4f7b-8b14-acc3d7c92776 · outbound

This paper cites an unresolved cited work.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-07-08T11:34:50.928907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e7c2142f-a3f4-4b21-a534-6493e741517e · outbound

This paper cites an unresolved cited work.

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-07-08T11:34:50.942672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.