Paper Citation Record · LEDGER

Characterizing Hyperbolicity in Graphs

As of 9 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2607.24096.

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

pith.paper-citation-record.v1
2607.24096 v2

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T23:14:37.852006Z

measured 24 of 24 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

24 of 24 outbound references displayed

verified exact0
verified fuzzy0
unresolved23
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 62ecc293-6622-4fea-aa68-4b2607dfde48 · outbound

This paper cites Hyper- bolic Embeddings for Near-Optimal Greedy Routing.

Characterizing Hyperbolicity in Graphs Hyper- bolic Embeddings for Near-Optimal Greedy Routing

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:35.408245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0187fc4f-9213-4147-b503-c53e4f56a6a8 · outbound

This paper cites Sustaining the Internet with Hyperbolic Mapping.

Characterizing Hyperbolicity in Graphs Sustaining the Internet with Hyperbolic Mapping

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:35.510744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 802f9dc2-d7b0-40e8-92b7-755a5be9542b · outbound

This paper cites On Comput- ing the Hyperbolicity of Real-World Graphs.

Characterizing Hyperbolicity in Graphs On Comput- ing the Hyperbolicity of Real-World Graphs

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:35.707634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 339fcb62-f398-4b7c-8a08-66fb5aa9db60 · outbound

This paper cites Bridson and André Haefliger.Metric Spaces of Non-Positive Curvature.

Characterizing Hyperbolicity in Graphs Bridson and André Haefliger.Metric Spaces of Non-Positive Curvature

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:35.848994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0788070f-6f75-42db-9b98-91a74641c7c4 · outbound

This paper cites Neural Embeddings of Graphs in Hyperbolic Space.

Characterizing Hyperbolicity in Graphs Neural Embeddings of Graphs in Hyperbolic Space

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:35.946633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ae334c2-da53-4c0e-8cc5-ddd73e5f12d9 · outbound

This paper cites Average Gromov hyperbolicity and the Parisi ansatz.

Characterizing Hyperbolicity in Graphs Average Gromov hyperbolicity and the Parisi ansatz

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:36.098714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79008499-3ed8-40a8-bb20-893beda2d7b4 · outbound

This paper cites On the Hyperbolicity of Small-World and Tree-Like Random Graphs.

Characterizing Hyperbolicity in Graphs On the Hyperbolicity of Small-World and Tree-Like Random Graphs

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:36.291353Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 060adcca-0ac5-4929-91f2-a0ec91c705ab · outbound

This paper cites What is the dimension of citation space?.

Characterizing Hyperbolicity in Graphs What is the dimension of citation space?

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:36.455644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1259c8ad-1e4d-4783-87ab-a5a84841aaaf · outbound

This paper cites Computing the Gromov hyperbolicity of a discrete metric space.

Characterizing Hyperbolicity in Graphs Computing the Gromov hyperbolicity of a discrete metric space

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:36.619427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3fc566a-3c98-4490-b0a8-ebb0c157e7c3 · outbound

This paper cites Hyperbolic Groups.

Characterizing Hyperbolicity in Graphs Hyperbolic Groups

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:36.736620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd4aeb2f-ca50-4c76-8c87-c2388c032481 · outbound

This paper cites Random Hyperbolic Graphs: Degree Sequence and Clustering.

Characterizing Hyperbolicity in Graphs Random Hyperbolic Graphs: Degree Sequence and Clustering

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:36.837270Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74d89a28-43a7-42b9-b839-f7f5037f5e44 · outbound

This paper cites On the tree-likeness of hyperbolic spaces.

Characterizing Hyperbolicity in Graphs On the tree-likeness of hyperbolic spaces

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:36.929723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78781b36-fbf7-4816-b24c-2d7b272a5829 · outbound

This paper cites MAA Textbooks.

Characterizing Hyperbolicity in Graphs MAA Textbooks

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:37.019868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c51bf217-9a0c-4e4b-810f-0b8f1373d66e · outbound

This paper cites Hyperbolic geometry of earthquake networks.

Characterizing Hyperbolicity in Graphs Hyperbolic geometry of earthquake networks

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:37.112475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca104bb2-4221-43d3-8dfd-f1e1d3a621a3 · outbound

This paper cites Bridging Arbitrary and Tree Metrics via Differentiable Gromov Hyperbolicity.

Characterizing Hyperbolicity in Graphs Bridging Arbitrary and Tree Metrics via Differentiable Gromov Hyperbolicity

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:37.198592Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 868df623-41e8-4772-b35d-f0f1be269202 · outbound

This paper cites Scaled Gromov four- point condition for network graph curvature computation.

Characterizing Hyperbolicity in Graphs Scaled Gromov four- point condition for network graph curvature computation

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:37.262874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99b68594-81b0-47df-9292-14dc816a5736 · outbound

This paper cites Scaled Gromov hyperbolic graphs.

Characterizing Hyperbolicity in Graphs Scaled Gromov hyperbolic graphs

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:37.327029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf6934f4-3c5c-4757-9893-645937aac77e · outbound

This paper cites A combinatorial higher-rank hyperbolicity condition.

Characterizing Hyperbolicity in Graphs A combinatorial higher-rank hyperbolicity condition

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:37.425804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb14f245-5f19-4c08-88f7-38a26c876c36 · outbound

This paper cites Hyperbolic geometry of complex networks.

Characterizing Hyperbolicity in Graphs Hyperbolic geometry of complex networks

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:37.524693Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de5aab7b-51ae-49f0-b0ff-90a4bd48b2a4 · outbound

This paper cites Lack of Hyperbolicity in Asymptotic Erd\"os--Renyi Sparse Random Graphs.

Characterizing Hyperbolicity in Graphs Lack of Hyperbolicity in Asymptotic Erd\"os--Renyi Sparse Random Graphs

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:37.591834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5bc81e6-b822-4655-b652-49bc83854c10 · outbound

This paper cites Strong hyperbolicity.

Characterizing Hyperbolicity in Graphs Strong hyperbolicity

Reference 21

Resolution: malformed identifier; no resolver link, observed 2026-07-31T23:14:37.657878Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30041fdd-8367-4e38-8732-52237bbc3262 · outbound

This paper cites Network Mapping by Replaying Hyperbolic Growth.

Characterizing Hyperbolicity in Graphs Network Mapping by Replaying Hyperbolic Growth

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:37.720959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2caccca-85ca-40f7-8558-cb70fcfab273 · outbound

This paper cites HyperbolicEmbeddingofInternetGraphforDistance Estimation and Overlay Construction.

Characterizing Hyperbolicity in Graphs HyperbolicEmbeddingofInternetGraphforDistance Estimation and Overlay Construction

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:37.783524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 425bbd10-0196-4832-9f6d-93dc0989ce64 · outbound

This paper cites Hyperbolic Geometry of the Olfactory Space.

Characterizing Hyperbolicity in Graphs Hyperbolic Geometry of the Olfactory Space

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-31T23:14:37.852006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.