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Paper Citation Record · LEDGER

A quantitative approach to the regularity of a Riemannian surface

As of 9 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2507.21921.

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

pith.paper-citation-record.v1
2507.21921 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:31:43.037931Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

9 of 9 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b941b7a4-326a-454f-bd9a-593367e85455 · outbound

This paper cites T., Convergence and rigidity of manifolds under Ricci curvature bounds.

A quantitative approach to the regularity of a Riemannian surface T., Convergence and rigidity of manifolds under Ricci curvature bounds

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:31:43.325851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:31:42.897101Z digest=sha256:826dd484f8ba24e73fe3f2c94e589534a39456cdc08a1b9735d877d72fa633ea

Observation 9f8038b1-ce4b-455e-ae3d-30226c0465f9 · outbound

This paper cites M., Kazdan, J.

A quantitative approach to the regularity of a Riemannian surface M., Kazdan, J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:31:43.313045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:31:42.911644Z digest=sha256:214456c521369fecebbd1cdbc141b9c6ac1b0e5e901617f312efbba82000570f

Observation 56588172-9e72-4b3a-9f16-82f4702cb91c · outbound

This paper cites The bi-Lipschitz constant of an isothermal coordinate chart.

A quantitative approach to the regularity of a Riemannian surface The bi-Lipschitz constant of an isothermal coordinate chart

Reference 3

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T12:31:43.093744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:31:42.923838Z digest=sha256:80fad5f273d02e3306cd88164ad7d76f05ca6da539f7133dae21293c2307986f

Observation c2ce6bae-4893-49a8-8511-337bfbc63a41 · outbound

This paper cites S., Elliptic partial differential equations of second order.

A quantitative approach to the regularity of a Riemannian surface S., Elliptic partial differential equations of second order

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:31:43.300153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:31:42.946907Z digest=sha256:1e1453c6637df62703c2a1bbafb9d9d1e07b645850deb88de62c3422e5369729

Observation 117be535-fe08-4175-a8f6-7a085455d942 · outbound

This paper cites an unresolved cited work.

A quantitative approach to the regularity of a Riemannian surface Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:31:43.285823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:31:42.967676Z digest=sha256:da26640b76846785b3b030a4dd70cfb4de4a003c549dca2077fbc0cf26f9c98a

Observation b820a868-e4cc-4855-bb55-78b910e48544 · outbound

This paper cites Springer New York (2006).

A quantitative approach to the regularity of a Riemannian surface Springer New York (2006)

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:31:43.272344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:31:42.987464Z digest=sha256:d6da2d8ddcd7d02f2fb1e9a28d9613611872eb0315ce0956143d2ecabd0ec30f

Observation 0d3fa4f1-8861-45fe-adfd-a78dd5cdb0d5 · outbound

This paper cites J., Lectures on Classical Differential Geometry.

A quantitative approach to the regularity of a Riemannian surface J., Lectures on Classical Differential Geometry

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:31:43.258782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:31:43.006640Z digest=sha256:bd5ef425c70b9bd375416259c20fdc9affdbfa4f9cf8324124aea6d095348a93

Observation a998517d-fee6-416e-bd14-0091eaf00206 · outbound

This paper cites an unresolved cited work.

A quantitative approach to the regularity of a Riemannian surface Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:31:43.244418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:31:43.025949Z digest=sha256:30ba09d6508f7777da2b7312a6aabe15d015f3683cc7a1649311d6b0993e8b80

Observation 57669e8b-1d66-4cd3-803a-da8eac0693e4 · outbound

This paper cites S., Zhu, M., Bounds on harmonic radius and limits of manifolds with bounded Bakry- ´Emery Ricci curvature.

A quantitative approach to the regularity of a Riemannian surface S., Zhu, M., Bounds on harmonic radius and limits of manifolds with bounded Bakry- ´Emery Ricci curvature

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:31:43.167322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:31:43.037931Z digest=sha256:a688e9661ce62b07c2d60a98f2b9adb4fa7aadffbb462a929a95bd79d6c4741a

Pith citing papers

No inbound Pith citation observations are available.