Paper Citation Record · LEDGER

Scalar and Mean Curvature Comparison on Compact Cylinder

As of 11 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2507.07005.

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

pith.paper-citation-record.v1
2507.07005 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:04:00.800121Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-10T04:47:32.932155Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T04:56:45.942178Z

Reference resolution

12 of 12 outbound references displayed

verified exact1
verified fuzzy4
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 31c5a064-c407-4202-9901-d5daa6da483e · outbound

This paper cites Agmon, A.

Scalar and Mean Curvature Comparison on Compact Cylinder Agmon, A

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:03.151765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 61d818ea-1bd8-46ba-a016-308d37399198 · outbound

This paper cites Cecchini and R.

Scalar and Mean Curvature Comparison on Compact Cylinder Cecchini and R

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T19:03:59.418822Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de8ff3ec-602f-48f5-b064-ec0ca40debbd · outbound

This paper cites an unresolved cited work.

Scalar and Mean Curvature Comparison on Compact Cylinder Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:04:02.853225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a94c9358-46fd-4afb-8611-3db6da095965 · outbound

This paper cites Four Lectures on Scalar Curvature.

Scalar and Mean Curvature Comparison on Compact Cylinder Four Lectures on Scalar Curvature

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T19:03:59.704720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41ab0bd1-cd28-4828-a883-9a67c2345183 · outbound

This paper cites an unresolved cited work.

Scalar and Mean Curvature Comparison on Compact Cylinder Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:04:02.567846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6f7c54fc-b842-45ba-a1e1-520caa7797e4 · outbound

This paper cites Gromov and B.

Scalar and Mean Curvature Comparison on Compact Cylinder Gromov and B

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:02.286332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 429663f8-b8a8-4e33-ab15-65f80a7764f0 · outbound

This paper cites Kazdan and F.

Scalar and Mean Curvature Comparison on Compact Cylinder Kazdan and F

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:02.049662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 545ec16e-d3c9-4bc8-8abd-a4ea127c415c · outbound

This paper cites Lee and T.

Scalar and Mean Curvature Comparison on Compact Cylinder Lee and T

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:01.838756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e85f8cdd-8bf3-4427-8232-8c7a1c8fc06c · outbound

This paper cites an unresolved cited work.

Scalar and Mean Curvature Comparison on Compact Cylinder Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:04:01.531770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4b4131bb-17ec-4f69-b9b4-249e44ae812c · outbound

This paper cites A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture.

Scalar and Mean Curvature Comparison on Compact Cylinder A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T19:04:00.524139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a67ee9c1-fd55-4acf-9924-0c0eb8278a10 · outbound

This paper cites Prescribed Scalar Curvature Problem under Conformal Deformation of A Riemannian Metric with Dirichlet Boundary Condition.

Scalar and Mean Curvature Comparison on Compact Cylinder Prescribed Scalar Curvature Problem under Conformal Deformation of A Riemannian Metric with Dirichlet Boundary Condition

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:04:01.019954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b5221387-b2ff-4e20-a87d-ff9d84748b59 · outbound

This paper cites an unresolved cited work.

Scalar and Mean Curvature Comparison on Compact Cylinder Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:04:01.287943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation 1144e5ad-99bb-4487-a8fe-1aa44e4b456f · inbound

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ cites this paper.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Scalar and Mean Curvature Comparison on Compact Cylinder

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-07-10T04:56:45.943876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.