Paper Citation Record · LEDGER

Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing

As of 16 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2506.06582.

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

pith.paper-citation-record.v1
2506.06582 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T06:01:37.816359Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

17 of 17 outbound references displayed

verified exact0
verified fuzzy4
unresolved11
parse uncertain2
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b92d0696-b253-450a-9034-842d6acad062 · outbound

This paper cites an unresolved cited work.

Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing Unresolved cited work

Reference 2

Resolution: parse uncertain; raw_fallback, observed 2026-08-07T06:01:38.106029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0e36e094-9e72-48fe-99b3-095acadb4a72 · outbound

This paper cites an unresolved cited work.

Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing Unresolved cited work

Reference 3

Resolution: parse uncertain; raw_fallback, observed 2026-08-07T06:01:38.089660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6374ae30-727a-40c4-8619-8dbd87cc6ef2 · outbound

This paper cites an unresolved cited work.

Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:01:38.072035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0e649e84-d03d-4061-9fb1-e69a94ebdec1 · outbound

This paper cites The Effectiveness of Curvature-Based Rewiring and the Role of Hyperparameters in GNNs Revisited.

Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing The Effectiveness of Curvature-Based Rewiring and the Role of Hyperparameters in GNNs Revisited

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T06:01:37.753936Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70d0402c-6102-4099-9c02-7b752582d79f · outbound

This paper cites Clique lifting of dimension 2 If G has |F | = k faces, then the clique K contains.

Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing Clique lifting of dimension 2 If G has |F | = k faces, then the clique K contains

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:01:38.055934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6b046fa1-09ec-4b6d-9c6e-e7e799ed1cf6 · outbound

This paper cites an unresolved cited work.

Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:01:38.039943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 465a7086-1167-4215-a03a-c074ccf48429 · outbound

This paper cites an unresolved cited work.

Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:01:38.023378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 633073f9-0cfa-4360-9d87-231ca4d010c9 · outbound

This paper cites an unresolved cited work.

Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:01:38.006068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f741b834-0323-46b2-b0ed-adb40cd77dbf · outbound

This paper cites Depending on the dataset under consideration, one may opt for a model like CIN where lower relations are ignored.

Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing Depending on the dataset under consideration, one may opt for a model like CIN where lower relations are ignored

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:01:37.988507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c705cca4-bdfd-4b89-958b-270097a4ba47 · outbound

This paper cites an unresolved cited work.

Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:01:37.972072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation dd1e32c3-551a-4376-88ad-39ad47c8f24a · outbound

This paper cites an unresolved cited work.

Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:01:37.956557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6ce1fe4e-30f7-4e3c-bf22-35175911de3e · outbound

This paper cites an unresolved cited work.

Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:01:37.941247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b0c774da-2c1f-4073-8f51-13ddf84ab76c · outbound

This paper cites Computing the total number of cells gives 2n − 1.

Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing Computing the total number of cells gives 2n − 1

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:01:37.924510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bc97814d-7ce4-4a1a-800a-ff1e1ab73a2d · outbound

This paper cites A Generalization of Transformer Networks to Graphs.

Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing A Generalization of Transformer Networks to Graphs

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-07T06:01:37.742766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83400e60-b362-4d14-9b92-f0d9172df7c7 · outbound

This paper cites Topological Deep Learning: Going Beyond Graph Data.

Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing Topological Deep Learning: Going Beyond Graph Data

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-07T06:01:37.748160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc0b0c0a-da79-4f1a-b9aa-ccd7094c81be · outbound

This paper cites Zhengdao Chen, Soledad Villar, Lei Chen, and Joan Bruna.

Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing Zhengdao Chen, Soledad Villar, Lei Chen, and Joan Bruna

Reference 2021

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:01:38.121972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4c774b76-6d89-4d0d-a4a6-64f5de412e52 · outbound

This paper cites Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges.

Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-07T06:01:37.731916Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.