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Paper Citation Record · LEDGER

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity

As of 13 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2412.20560.

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

pith.paper-citation-record.v1
2412.20560 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:30:25.159428Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

26 of 26 outbound references displayed

  • verified exact1
  • verified fuzzy23
  • unresolved2
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 59f4499d-efc3-4fbe-97ec-1a1b21cbe609 · outbound

This paper cites Conformal invariants, inequalities, and quasiconformal maps.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity Conformal invariants, inequalities, and quasiconformal maps

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation f1706f90-09c5-4bd8-ab1c-2aab888c82ce · outbound

This paper cites F.; Minda D.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity F.; Minda D

Reference 2

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Source-reported events for the cited work

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Observation da0635ab-cc4b-41ea-b1e7-10d11d109351 · outbound

This paper cites Uniformizing Gromov hyperbolic spaces.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity Uniformizing Gromov hyperbolic spaces

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation c3687a1d-b44e-4e15-968c-7ed3c1393bb5 · outbound

This paper cites A course in metric geometry , Graduate Studies in Mathe- matics, vol.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity A course in metric geometry , Graduate Studies in Mathe- matics, vol

Reference 4

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation bf37f2ae-1a4b-4453-a2a0-227aed604798 · outbound

This paper cites an unresolved cited work.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity Unresolved cited work

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation f4ae1b4b-5b68-45f1-9537-a15701c8f1dd · outbound

This paper cites Comparison theorems for hyperbolic type metrics.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity Comparison theorems for hyperbolic type metrics

Reference 6

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation c59f4e66-e950-48a7-87ca-d5c2df1b593f · outbound

This paper cites On distortion of quasiregular mappings of the upper half plane.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity On distortion of quasiregular mappings of the upper half plane

Reference 7

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verified exact
local_arxiv, observed 2026-08-10T23:30:25.200822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 58911bc9-8999-48ed-b8aa-c1cf4e098166 · outbound

This paper cites Uniform domains and the quasi-hyperb olic metric.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity Uniform domains and the quasi-hyperb olic metric

Reference 8

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verified fuzzy
raw_fallback, observed 2026-08-10T23:30:25.437471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation b5fd19ea-8d07-4f3f-8bd3-95da577b2b01 · outbound

This paper cites Hyperbolic Groups, in Essays in Group Theory (edited by S.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity Hyperbolic Groups, in Essays in Group Theory (edited by S

Reference 9

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verified fuzzy
raw_fallback, observed 2026-08-10T23:30:25.423317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 9f64b9b3-d186-4d7a-941d-bef57045452b · outbound

This paper cites Conformally Invariant Metrics and Quasiconformal Map- pings.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity Conformally Invariant Metrics and Quasiconformal Map- pings

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation ae98cfff-470e-412d-89c8-e35fe2e9578f · outbound

This paper cites Gromov hyperbolicity of thejG and~jG metrics.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity Gromov hyperbolicity of thejG and~jG metrics

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 71f11e41-4b5a-45aa-8f93-5da173706824 · outbound

This paper cites A new weighted metric: the relative metric I.,J.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity A new weighted metric: the relative metric I.,J

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation d03357c1-3955-419e-818c-a6cfeb445d84 · outbound

This paper cites Isometries of the half-Apollonian metric.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity Isometries of the half-Apollonian metric

Reference 13

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation f7fac29d-832b-4105-8750-bee6dfcec983 · outbound

This paper cites Quasiconformal maps in metric spaces with controlled geometry, Acta Math., 1998, 1811, 1-61.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity Quasiconformal maps in metric spaces with controlled geometry, Acta Math., 1998, 1811, 1-61

Reference 14

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation f6015b62-0310-413b-8331-2e05f2cdb420 · outbound

This paper cites Hyperbolizing metric spaces.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity Hyperbolizing metric spaces

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation def5db56-41d5-4365-8060-4c50ec48c1f5 · outbound

This paper cites The Cassinian metric of a domain in Rn.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity The Cassinian metric of a domain in Rn

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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This paper cites The visual angle me tric and M¨ obius transfor- mations.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity The visual angle me tric and M¨ obius transfor- mations

Reference 17

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity Unresolved cited work

Reference 18

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation ccf187ba-f697-409e-8b23-48ed715385eb · outbound

This paper cites Hyperbolic-type metrics.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity Hyperbolic-type metrics

Reference 19

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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This paper cites : The Nikolov–Andreev Metr ic and Gromov Hyper- bolicity.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity : The Nikolov–Andreev Metr ic and Gromov Hyper- bolicity

Reference 20

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verified fuzzy
raw_fallback, observed 2026-08-10T23:30:25.290451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 6dca8855-711b-400a-9e3f-6840cffd8248 · outbound

This paper cites Estimates of the Kobayashi and quasi- hyperbolic distances.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity Estimates of the Kobayashi and quasi- hyperbolic distances

Reference 21

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raw_fallback, observed 2026-08-10T23:30:25.278012Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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This paper cites Gromov hyperbolic spaces,Expo.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity Gromov hyperbolic spaces,Expo

Reference 22

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raw_fallback, observed 2026-08-10T23:30:25.264274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 0a1bdf84-b406-426d-9010-9258acaf5819 · outbound

This paper cites Conformal invariants and quasiregular mappings, J.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity Conformal invariants and quasiregular mappings, J

Reference 23

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raw_fallback, observed 2026-08-10T23:30:25.249982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 4fb37e71-42a1-4b6c-aa27-daa3536ff5a9 · outbound

This paper cites Conformal geometry and quasiregular mappings.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity Conformal geometry and quasiregular mappings

Reference 24

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 134fcccf-d422-4f02-9fc7-59c1e1d54dac · outbound

This paper cites Strongly hyperbolic metrics on Ptolemy spaces , J.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity Strongly hyperbolic metrics on Ptolemy spaces , J

Reference 25

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raw_fallback, observed 2026-08-10T23:30:25.224961Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 82ecf5ee-6596-491c-9328-0a814787c69b · outbound

This paper cites Dovgoshey–Hariri– Vuorinen’s metric and Gro- mov hyperbolicity.

Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity Dovgoshey–Hariri– Vuorinen’s metric and Gro- mov hyperbolicity

Reference 26

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raw_fallback, observed 2026-08-10T23:30:25.213381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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