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Paper Citation Record · LEDGER

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

As of 9 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T06:01:37.766358Z digest=sha256:6936a2b6e009c8e8611bf2e8cb3c3002e1f6f114b7540411b06df9ab7744296c

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T06:01:37.771040Z digest=sha256:95903c64d138d56a5d6a9b813c67e135614dbb561506be02eaacbe9db88644fc

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.

source=pdf_text observed=2026-08-07T06:01:37.753936Z digest=sha256:25d7bf82e80d9249f24fed67bf68f3db56e753bc58d7695b0e57c205adf2382c

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T06:01:37.775680Z digest=sha256:a138cc269af7962349270489fbd6fc0a1779a402217164214c602d0f5a376d72

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T06:01:37.780634Z digest=sha256:b402fae39e04df76bcffab2e30997042b5b4ed1322fa4030f41d2bb4b40e0ec7

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T06:01:37.785449Z digest=sha256:f3937cbcbd40ad5d10f143bbeecc35be4254afd5ad7115664e54fff30d646016

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T06:01:37.790995Z digest=sha256:254baf2014e8eb255ea9c53a541c42c3dca5d4e9aae51df58698fd5d6fa739f4

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T06:01:37.796481Z digest=sha256:4cb496eb75ea7d0685e83690342a41b0618ac8afe4b6303d925312dc1ca3cf6a

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T06:01:37.801306Z digest=sha256:e1b3ed461d2d8538efafb23362f7d02d1e096c2de9e870048b69b0b2a0b18a99

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T06:01:37.806158Z digest=sha256:34e7e32985a922246d7a6873aec8bc579db012654327e7028197e8b412849eb8

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T06:01:37.811687Z digest=sha256:7faf9ba3911ff1954d884a71d92389fc16bf09281b5134986533dc734b65bd3d

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T06:01:37.816359Z digest=sha256:ae91f5899fb4bbe8f534e0a492d76358a3c4fe48feb6534cbed2a865b65c91e2

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.

source=pdf_text observed=2026-08-07T06:01:37.742766Z digest=sha256:e3f0cf0037eb278231dff84c79e223d1bebb04c5c69a0825f27cb5dd1dbe4298

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.

source=pdf_text observed=2026-08-07T06:01:37.748160Z digest=sha256:18662950f45f641936c3f106c3e169352b552f46a68cb5b8c1a887b198edd1f4

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T06:01:37.737901Z digest=sha256:1feab4afaa31a508d79a604ff9bf19e3e6766d1449e5ec1d2bcdbdfd2ac314db

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.

source=pdf_text observed=2026-08-07T06:01:37.731916Z digest=sha256:5573a0dfb086446d901fd2bafc7e4490aaa1511b155501962e7ec1f7da090775

Pith citing papers

No inbound Pith citation observations are available.