Paper Citation Record · LEDGER

Understanding Virtual Nodes: Oversquashing and Node Heterogeneity

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2405.13526.

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

pith.paper-citation-record.v1
2405.13526 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 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 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T14:10:18.862675Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T19:37:19.096555Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation bce095b9-24d7-49ca-95e1-ec5e8509236e · inbound

Graph Rewiring in GNNs to Mitigate Over-Squashing and Over-Smoothing: A Survey cites this paper.

Graph Rewiring in GNNs to Mitigate Over-Squashing and Over-Smoothing: A Survey Understanding Virtual Nodes: Oversquashing and Node Heterogeneity

Reference 52

Resolution: verified exact; arxiv_id, observed 2026-05-23T16:38:11.153685Z

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.

Observation ab44b04a-f88e-4072-8d16-2ebe1c8553e3 · inbound

Geometry-aware RL for Manipulation of Varying Shapes and Deformable Objects cites this paper.

Geometry-aware RL for Manipulation of Varying Shapes and Deformable Objects Understanding Virtual Nodes: Oversquashing and Node Heterogeneity

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-08T14:10:18.862675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0ffeffb-5de7-4704-8994-c0b02fa19af6 · inbound

Geometric Hyena Networks for Large-scale Equivariant Learning cites this paper.

Geometric Hyena Networks for Large-scale Equivariant Learning Understanding Virtual Nodes: Oversquashing and Node Heterogeneity

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-07T13:11:46.588799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e17cb8de-d4fe-4b1a-9309-49886a503215 · inbound

On Measuring Long-Range Interactions in Graph Neural Networks cites this paper.

On Measuring Long-Range Interactions in Graph Neural Networks Understanding Virtual Nodes: Oversquashing and Node Heterogeneity

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T10:18:56.887931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67adf80b-3bdc-445c-a494-0994ce1ad520 · inbound

Six Open Questions in Machine-Learned Interatomic Potential Foundation Models cites this paper.

Six Open Questions in Machine-Learned Interatomic Potential Foundation Models Understanding Virtual Nodes: Oversquashing and Node Heterogeneity

Reference 129

Resolution: verified exact; arxiv_id, observed 2026-07-02T19:37:19.100926Z

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.