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Paper Citation Record · LEDGER

The bi-Lipschitz constant of an isothermal coordinate chart

As of 8 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2505.23591.

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

pith.paper-citation-record.v1
2505.23591 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:03:09.782994Z

measured 14 of 14 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:31:42.923838Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T12:31:43.078485Z

Reference resolution

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cd36376e-1e05-4a60-aa4b-ca62b88af37b · outbound

This paper cites V ., Conformal Invariants: Topics in geometric function theory.

The bi-Lipschitz constant of an isothermal coordinate chart V ., Conformal Invariants: Topics in geometric function theory

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:03:11.992498Z

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=2026-08-07T13:03:08.595574Z digest=sha256:d4b5312f6d0e698c9bce2e808040b07c9959ef1af27d0ca9aa19e9ad378a9379

Observation 0d0a546e-845f-49d0-8c9e-9017f439615e · outbound

This paper cites B., Kapovitch, V ., Petrunin, A., Alexandrov geometry—foundations.

The bi-Lipschitz constant of an isothermal coordinate chart B., Kapovitch, V ., Petrunin, A., Alexandrov geometry—foundations

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:03:11.868617Z

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=2026-08-07T13:03:08.664830Z digest=sha256:964ab3b514b62c3bb22e7c0376859489993af0d318312829ece71aa9e8355ffc

Observation d8743850-0def-4aca-80e2-2b8a1ff0ec99 · outbound

This paper cites D., A theorem on triangles in a metric space and some of its applications.

The bi-Lipschitz constant of an isothermal coordinate chart D., A theorem on triangles in a metric space and some of its applications

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:03:11.710746Z

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=2026-08-07T13:03:08.776357Z digest=sha256:9c47581b13e0d43fd3155392fa93d7386684ecb8abf79668665dfa2de55e0807

Observation 221a2839-5f9f-4665-829a-db8286441d3d · outbound

This paper cites R., Haefliger, A., Metric spaces of non-positive curvature.

The bi-Lipschitz constant of an isothermal coordinate chart R., Haefliger, A., Metric spaces of non-positive curvature

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:03:11.505572Z

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=2026-08-07T13:03:08.882548Z digest=sha256:6d1104ac31c7372f074655e42a5f39af39afcb39c1b3615b829d49a2716bc611

Observation 80836373-3bb5-4171-87ab-8df72efbb160 · outbound

This paper cites M., Kazdan, J.

The bi-Lipschitz constant of an isothermal coordinate chart M., Kazdan, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:03:11.293539Z

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=2026-08-07T13:03:08.958326Z digest=sha256:731b7116bb5f8d43fa40aa61011f6ec7ff14f707aa9235c6038b032a34ac75b5

Observation d04443e3-c9e5-46a5-9a94-80f05eedf528 · outbound

This paper cites W., Complex Analysis.

The bi-Lipschitz constant of an isothermal coordinate chart W., Complex Analysis

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:03:11.084223Z

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=2026-08-07T13:03:09.089402Z digest=sha256:95f1b2e0a04435fcfb7f773dcc9685ddd2143fd3177873c4652876155c009b37

Observation c47fb1b8-15dc-4b03-9a13-d496a735bddb · outbound

This paper cites K., Kennedy, P.

The bi-Lipschitz constant of an isothermal coordinate chart K., Kennedy, P

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:03:10.898104Z

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=2026-08-07T13:03:09.204865Z digest=sha256:376dafb98574adb685cd2935dcef679b709991a745de5ee00a7d24bc0b631fce

Observation e3e84766-73a3-4fb0-bbb2-1686114e3217 · outbound

This paper cites D., Harmonic functions and Green’s integral.

The bi-Lipschitz constant of an isothermal coordinate chart D., Harmonic functions and Green’s integral

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:03:10.775827Z

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=2026-08-07T13:03:09.297447Z digest=sha256:f8160bf0dcb6d22df605eca9cc77dd25bc7bfaf2686e9117f9a9f79ef9731992

Observation badc7728-58ad-4eb5-90b2-04583e7c141f · outbound

This paper cites W., A problem in cartography.Amer.

The bi-Lipschitz constant of an isothermal coordinate chart W., A problem in cartography.Amer

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:03:10.586184Z

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=2026-08-07T13:03:09.400449Z digest=sha256:8aa4f5835aed076bbce5542d0bfec246b3b95303d037044a550cf132e6488a4e

Observation 625c00bc-fd9c-4d29-b9d0-9a13147f9939 · outbound

This paper cites Journal fr die reine und angewandte Mathematik, vol.

The bi-Lipschitz constant of an isothermal coordinate chart Journal fr die reine und angewandte Mathematik, vol

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:03:10.391784Z

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=2026-08-07T13:03:09.493565Z digest=sha256:f17d586832aa3e8db31207596a14d8f019338c0a30ad4863b887afd7e429b713

Observation 1c40988a-07e3-4ea5-88f0-cbb1dfde5636 · outbound

This paper cites Thesis, Gauthier-Villars (1887).

The bi-Lipschitz constant of an isothermal coordinate chart Thesis, Gauthier-Villars (1887)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:03:10.201864Z

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=2026-08-07T13:03:09.623355Z digest=sha256:68405b22c2415f279d5757d480bf111ee44a93aab58948bbe89bbcf901f2f3a1

Observation 9835f0e4-6009-4f37-b700-c8a4b947f893 · outbound

This paper cites Springer New York (2006).

The bi-Lipschitz constant of an isothermal coordinate chart Springer New York (2006)

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T13:03:09.693333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:03:09.693333Z digest=sha256:e59fac80c526d167938f894e129bc3caf04e8f5339af325ff2d23e783b3273ab

Observation 60408867-c283-48f1-b1c2-3be1cab95027 · outbound

This paper cites an unresolved cited work.

The bi-Lipschitz constant of an isothermal coordinate chart Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:03:10.004428Z

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=2026-08-07T13:03:09.782994Z digest=sha256:b5c49abb1cdc2fb8f3d514425c40e5232ce612d2da9f3e60e041702166c9472e

Pith citing papers

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

A quantitative approach to the regularity of a Riemannian surface cites this paper.

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:d808b007cc4210afb35025189dc6d688b8de8e8079cc2fc04dab4caa0d334550