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Paper Citation Record · LEDGER

The Quasi-hyperbolicity Constant of a Metric Space

As of 16 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:1908.04440.

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

pith.paper-citation-record.v1
1908.04440 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:58:15.845338Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e4c53c2e-3c58-42a0-85bd-d4a5c505845d · outbound

This paper cites Bridson and Andr\'e Haefliger, Metric spaces of non-positive curvature, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol.

The Quasi-hyperbolicity Constant of a Metric Space Bridson and Andr\'e Haefliger, Metric spaces of non-positive curvature, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:58:16.053073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:58:15.787012Z digest=sha256:e50768a05fde21df97d9b8fed2bbee8dfdd400376958206aba0011112b8cf6b1

Observation 65546ef4-f336-469e-b5e8-85ee5a5db914 · outbound

This paper cites Blumenthal, Theory and applications of distance geometry, Second edition, Chelsea Publishing Co., New York, 1970.

The Quasi-hyperbolicity Constant of a Metric Space Blumenthal, Theory and applications of distance geometry, Second edition, Chelsea Publishing Co., New York, 1970

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:58:16.037283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:58:15.791863Z digest=sha256:83a988bc534a7a37892341b7944f136153fad9b83685eb6e8f2afd8dd7ceb6e5

Observation f2b42461-35bf-4e03-b4d4-6f7a552079f5 · outbound

This paper cites an unresolved cited work.

The Quasi-hyperbolicity Constant of a Metric Space Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:58:16.023834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:58:15.795740Z digest=sha256:52b63d1a857f5f2a832d09bcb570661509d8304345e34a8f3eb5068075f6342d

Observation efa0bc1d-d97c-425b-a710-5540fb05d4a5 · outbound

This paper cites Bridson, On the existence of flat planes in spaces of nonpositive curvature, Proc.

The Quasi-hyperbolicity Constant of a Metric Space Bridson, On the existence of flat planes in spaces of nonpositive curvature, Proc

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:58:16.012598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:58:15.800293Z digest=sha256:63aed58e73e205977b496e06f2b81ba4099f29b2fc1b37167447b5fb744c17ba

Observation 5c0e7c7a-3006-4ebb-b22d-ffae6a143d2c · outbound

This paper cites an unresolved cited work.

The Quasi-hyperbolicity Constant of a Metric Space Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:58:16.001080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:58:15.804592Z digest=sha256:3798e090c39bf998bd41a73a461d82a6b35a487fe1dff81062bc90546341bc2e

Observation 20008636-f864-42f1-ae43-5b2559366294 · outbound

This paper cites an unresolved cited work.

The Quasi-hyperbolicity Constant of a Metric Space Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:58:15.988717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:58:15.809656Z digest=sha256:a262b901b4b4810148d846728f87a2c8eb50b411889495cd55e3a8baa58327d8

Observation 811f1a11-38bd-4585-bf04-d899a366d425 · outbound

This paper cites Gromov, Hyperbolic groups, Essays in group theory, Math.

The Quasi-hyperbolicity Constant of a Metric Space Gromov, Hyperbolic groups, Essays in group theory, Math

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T13:58:15.813937Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:58:15.813937Z digest=sha256:888df2148e40deda03c7e79a6e0769f3e619d78840e400faff313d0bdafe49bd

Observation 0d25eaf4-933b-4ed1-a701-97d8fed586ea · outbound

This paper cites Johnson and Joram Lindenstrauss, Basic concepts in the geometry of B anach spaces , Handbook of the geometry of B anach spaces, V ol.

The Quasi-hyperbolicity Constant of a Metric Space Johnson and Joram Lindenstrauss, Basic concepts in the geometry of B anach spaces , Handbook of the geometry of B anach spaces, V ol

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:58:15.969247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:58:15.817827Z digest=sha256:a20ea6221eecaf552e53c6f6489659fc420595aef45da1f176c61e696413522a

Observation f2857fc0-db51-4a60-942c-8a6922e3ce56 · outbound

This paper cites an unresolved cited work.

The Quasi-hyperbolicity Constant of a Metric Space Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:58:15.956835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:58:15.821830Z digest=sha256:cb0e680627d316b22aea09505bd5f9d4d1464c90ffe6acc157e596171605f9b5

Observation fd140ea0-a491-47b7-b8c1-b9a03a1a8eb4 · outbound

This paper cites an unresolved cited work.

The Quasi-hyperbolicity Constant of a Metric Space Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:58:15.944873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:58:15.825964Z digest=sha256:4eb432fe1be8ec47f57328b6b476f834e87a5ba41c869b067dee89f63685e47c

Observation 4fd6a541-dedc-493e-aaca-6fd411c9fe5c · outbound

This paper cites an unresolved cited work.

The Quasi-hyperbolicity Constant of a Metric Space Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:58:15.932253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:58:15.829728Z digest=sha256:bfb01bd46030679680766af3dc0c0d86fa8681ff141d3c7331898915d77e159a

Observation eba119fa-26eb-4732-8a40-ca0af8e846e3 · outbound

This paper cites an unresolved cited work.

The Quasi-hyperbolicity Constant of a Metric Space Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:58:15.920155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:58:15.833705Z digest=sha256:f031d01cd8bbafc8ccd122db1280519a12a714189ecfbc41db7de1211f0ea001

Observation bdddb72f-fa12-40ce-a89f-97d9e1b216e4 · outbound

This paper cites an unresolved cited work.

The Quasi-hyperbolicity Constant of a Metric Space Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:58:15.907022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:58:15.837428Z digest=sha256:236cd56c2fb502b9538c2c36c971b987395a94b2f37abcff118e8064cfaa0392

Observation 2087d43e-eb86-494d-9873-6bb150713fa2 · outbound

This paper cites 38, Longman Scientific & Technical, Harlow; copublished in the United States with John Wiley & Sons, Inc., New York, 1989.

The Quasi-hyperbolicity Constant of a Metric Space 38, Longman Scientific & Technical, Harlow; copublished in the United States with John Wiley & Sons, Inc., New York, 1989

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:58:15.894700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:58:15.841552Z digest=sha256:c8dce78af06684be9b0bb57e7125279309b590a5d1606d11210c6e43fdb2c46d

Observation fe21fb1d-3c4f-44e0-821e-4153e73a5636 · outbound

This paper cites a is \"a l \.

The Quasi-hyperbolicity Constant of a Metric Space a is \"a l \

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:58:15.880780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:58:15.845338Z digest=sha256:384741ce5a4970b2ada2cadca6332495c92da01953e1612e9798b00fc83d70db

Pith citing papers

No inbound Pith citation observations are available.