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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=sha256:6495be09a03f7d2d69edf8d887506fbbd71ce2afc226d6e9e86bd0819ad11bfc

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=sha256:75858ce8bf974225f0ef92a58bd6c4bbad73efc322d4085cccc8cd5512a0f23e

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=sha256:488ddb24fcdfbe6798944b6a0a2135f93563c34ab1d06fda6de5a7b1b82f0012

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:d7ade070dbc872199801551e3fe85e80dc3b515ad167d4ab98e9470c47cba9ed

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=sha256:90fa2c2a77dc7f98087c3962d64a248588c57eaaa3004ff82437b0f08619f964

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:e47df6d0d74aabb3143ef003ee717ce1badb8d0414a06ecc906b1a2349363a77

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:f7d5cfd7f656797ad3578d03217679fdd05b9a325b587008f899ce05f0131808

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=sha256:2e5989781aa2b506ae7a270fec127ceb7eef1afbd89661af308a5174022c6e98

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=sha256:79d850a5fd0aa8da7291a9de07fb059ef45de3b6691486249fba7de5787b95fc

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:e7640a6edf75bcec4fb2ad9962383050b17fd747760b0ba20b97fbb1f119403e

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=sha256:85b085b7abfde2539543e3825804f8cf8a467a7d4193f06cb295a15aac63a232

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:bb66ae101c66cb9eabf7b7a57e1c581f54577fd3e9cf47ee41fde513d63bcf16

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=sha256:06dfbee2cb8ead23af3344cb89c1a64ced35d384171ecb52fbf55ca3105647d1

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:a2aa743c5d2805e7e4422db18b566cb6006e53270e2741310936e12758f440ad

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=sha256:2d58effdf153e3ab000ab46a0b916eb9325a5cbbaf77d9a6d0c2b13e479f5741

Pith citing papers

No inbound Pith citation observations are available.