Paper Citation Record · LEDGER

1-Uryson width and covers

As of 7 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2505.21126.

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

pith.paper-citation-record.v1
2505.21126 v3

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:47:10.323478Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

13 of 13 outbound references displayed

verified exact1
verified fuzzy7
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 81ec3aa4-ca7e-4399-9e51-b4f5f3c04ca0 · outbound

This paper cites Macroscopic scalar curvature and codimension 2 width.

1-Uryson width and covers Macroscopic scalar curvature and codimension 2 width

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:47:10.603145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 07a6cb73-ea7c-44a6-8d0b-7edca0a23c9f · outbound

This paper cites 780, 265--274.

1-Uryson width and covers 780, 265--274

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:13.473921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation add95db6-4e92-41fd-9075-f060b2d8b4a7 · outbound

This paper cites an unresolved cited work.

1-Uryson width and covers Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:47:13.262928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b2559f09-e832-47ec-840c-5b5d05503a71 · outbound

This paper cites Bowditch, Bilipschitz triangulations of R iemannian manifolds.

1-Uryson width and covers Bowditch, Bilipschitz triangulations of R iemannian manifolds

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:13.035681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c920514f-6b23-4747-ae6f-0d501aef2657 · outbound

This paper cites Ferry and Boris L.

1-Uryson width and covers Ferry and Boris L

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:12.771467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 171c0f36-2599-4414-9a12-dc888ada11ca · outbound

This paper cites Golubitsky and V.

1-Uryson width and covers Golubitsky and V

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:12.496996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f9ea22c7-bf52-404d-89d0-db1514ce5f41 · outbound

This paper cites Blaine Lawson, Jr., Positive scalar curvature and the D irac operator on complete R iemannian manifolds , Inst.

1-Uryson width and covers Blaine Lawson, Jr., Positive scalar curvature and the D irac operator on complete R iemannian manifolds , Inst

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:12.251524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d2548433-6248-4736-9850-19d8aed895d5 · outbound

This paper cites 1, 1--147.

1-Uryson width and covers 1, 1--147

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:11.954664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1d2bb224-f3c3-4a5f-b409-f7c9036c150a · outbound

This paper cites No metrics with Positive Scalar Curvatures on Aspherical 5-Manifolds.

1-Uryson width and covers No metrics with Positive Scalar Curvatures on Aspherical 5-Manifolds

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T13:47:09.742298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 700e4e97-abe9-4c03-b358-112805c951c2 · outbound

This paper cites an unresolved cited work.

1-Uryson width and covers Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:47:11.622766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3630d847-259a-4c11-ae7b-c8cc8c85a5ba · outbound

This paper cites 2, 591--595.

1-Uryson width and covers 2, 591--595

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:11.266894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c2178f63-7f73-4198-9cd5-c0ac4ef3e48c · outbound

This paper cites an unresolved cited work.

1-Uryson width and covers Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:47:11.038709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0f87920d-4cd4-4b4b-bb92-afe509d38bd5 · outbound

This paper cites an unresolved cited work.

1-Uryson width and covers Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:47:10.773884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.