{"as_of":"2026-08-09T16:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5de09ed760f42185ad55dc47c3da2ad6d7dad175c0262d6935e2884245124b50","coverage":[{"denominator":17,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":17,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T06:01:37.816359Z","state":"measured"},{"denominator":17,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":17,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2506.06582/citation-record","integrity":"/paper/2506.06582/integrity","json":"/paper/2506.06582/citation-record.json","paper":"/paper/2506.06582"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:01:38.100779Z","title":null,"venue":null,"work_id":"223cd8a0-af79-4654-a0b1-ff250a43b26c","year":null},"citing_paper":{"arxiv_id":"2506.06582","last_updated":"2025-06-06T23:31:36Z","snapshot_observed_at":"2026-08-07T05:51:28.521338Z","submitted_at":"2025-06-06T23:31:36Z","title":"Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T06:01:37.761655Z"},"links":{"citing_paper":"/paper/2506.06582"},"observation_digest":"sha256:5cba1ff0329f492b5c05cf64c6a5a408d4d6d2e7c96121e8d24a5c239c9b9d51","observation_id":"b92d0696-b253-450a-9034-842d6acad062","resolution":{"observed_at":"2026-08-07T06:01:38.106029Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:01:38.084023Z","title":null,"venue":null,"work_id":"19872c0d-d79e-4b53-ab33-dff051c21bf9","year":null},"citing_paper":{"arxiv_id":"2506.06582","last_updated":"2025-06-06T23:31:36Z","snapshot_observed_at":"2026-08-07T05:51:28.521338Z","submitted_at":"2025-06-06T23:31:36Z","title":"Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T06:01:37.766358Z"},"links":{"citing_paper":"/paper/2506.06582"},"observation_digest":"sha256:6936a2b6e009c8e8611bf2e8cb3c3002e1f6f114b7540411b06df9ab7744296c","observation_id":"0e36e094-9e72-48fe-99b3-095acadb4a72","resolution":{"observed_at":"2026-08-07T06:01:38.089660Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:01:38.067102Z","title":null,"venue":null,"work_id":"76db457d-4429-49fb-93ef-9e33c29f3ff7","year":null},"citing_paper":{"arxiv_id":"2506.06582","last_updated":"2025-06-06T23:31:36Z","snapshot_observed_at":"2026-08-07T05:51:28.521338Z","submitted_at":"2025-06-06T23:31:36Z","title":"Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T06:01:37.771040Z"},"links":{"citing_paper":"/paper/2506.06582"},"observation_digest":"sha256:95903c64d138d56a5d6a9b813c67e135614dbb561506be02eaacbe9db88644fc","observation_id":"6374ae30-727a-40c4-8619-8dbd87cc6ef2","resolution":{"observed_at":"2026-08-07T06:01:38.072035Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.09381","last_updated":"2024-11-04T13:30:38Z","snapshot_observed_at":"2026-07-06T18:45:27.130369Z","submitted_at":"2024-07-12T16:03:58Z","title":"The Effectiveness of Curvature-Based Rewiring and the Role of Hyperparameters in GNNs Revisited","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.09381","snapshot_observed_at":"2026-08-07T06:01:37.753936Z","title":"None”, “Clique","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.06582","last_updated":"2025-06-06T23:31:36Z","snapshot_observed_at":"2026-08-07T05:51:28.521338Z","submitted_at":"2025-06-06T23:31:36Z","title":"Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T06:01:37.753936Z"},"links":{"cited_paper":"/paper/2407.09381","citing_paper":"/paper/2506.06582"},"observation_digest":"sha256:25d7bf82e80d9249f24fed67bf68f3db56e753bc58d7695b0e57c205adf2382c","observation_id":"0e649e84-d03d-4061-9fb1-e69a94ebdec1","resolution":{"observed_at":"2026-08-07T06:01:37.753936Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:01:38.050920Z","title":"Clique lifting of dimension 2 If G has |F | = k faces, then the clique K contains","venue":null,"work_id":"e5c9701a-1bdd-4760-968d-e1eef02dfba3","year":null},"citing_paper":{"arxiv_id":"2506.06582","last_updated":"2025-06-06T23:31:36Z","snapshot_observed_at":"2026-08-07T05:51:28.521338Z","submitted_at":"2025-06-06T23:31:36Z","title":"Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T06:01:37.775680Z"},"links":{"citing_paper":"/paper/2506.06582"},"observation_digest":"sha256:a138cc269af7962349270489fbd6fc0a1779a402217164214c602d0f5a376d72","observation_id":"70d0402c-6102-4099-9c02-7b752582d79f","resolution":{"observed_at":"2026-08-07T06:01:38.055934Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:01:38.034176Z","title":null,"venue":null,"work_id":"29ac10fe-8349-43d2-afbd-aa95c32dbe9b","year":null},"citing_paper":{"arxiv_id":"2506.06582","last_updated":"2025-06-06T23:31:36Z","snapshot_observed_at":"2026-08-07T05:51:28.521338Z","submitted_at":"2025-06-06T23:31:36Z","title":"Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T06:01:37.780634Z"},"links":{"citing_paper":"/paper/2506.06582"},"observation_digest":"sha256:b402fae39e04df76bcffab2e30997042b5b4ed1322fa4030f41d2bb4b40e0ec7","observation_id":"6b046fa1-09ec-4b6d-9c6e-e7e799ed1cf6","resolution":{"observed_at":"2026-08-07T06:01:38.039943Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:01:38.018354Z","title":null,"venue":null,"work_id":"b1e8b593-e79b-4a75-b58f-8d8dcb3c3d29","year":2025},"citing_paper":{"arxiv_id":"2506.06582","last_updated":"2025-06-06T23:31:36Z","snapshot_observed_at":"2026-08-07T05:51:28.521338Z","submitted_at":"2025-06-06T23:31:36Z","title":"Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T06:01:37.785449Z"},"links":{"citing_paper":"/paper/2506.06582"},"observation_digest":"sha256:f3937cbcbd40ad5d10f143bbeecc35be4254afd5ad7115664e54fff30d646016","observation_id":"465a7086-1167-4215-a03a-c074ccf48429","resolution":{"observed_at":"2026-08-07T06:01:38.023378Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:01:38.000998Z","title":null,"venue":null,"work_id":"9fb85965-0be7-4292-a497-ef1eee594218","year":null},"citing_paper":{"arxiv_id":"2506.06582","last_updated":"2025-06-06T23:31:36Z","snapshot_observed_at":"2026-08-07T05:51:28.521338Z","submitted_at":"2025-06-06T23:31:36Z","title":"Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T06:01:37.790995Z"},"links":{"citing_paper":"/paper/2506.06582"},"observation_digest":"sha256:254baf2014e8eb255ea9c53a541c42c3dca5d4e9aae51df58698fd5d6fa739f4","observation_id":"633073f9-0cfa-4360-9d87-231ca4d010c9","resolution":{"observed_at":"2026-08-07T06:01:38.006068Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:01:37.983061Z","title":"Depending on the dataset under consideration, one may opt for a model like CIN where lower relations are ignored","venue":null,"work_id":"6e3944a3-a96f-45e4-9679-3f21f32bd17e","year":null},"citing_paper":{"arxiv_id":"2506.06582","last_updated":"2025-06-06T23:31:36Z","snapshot_observed_at":"2026-08-07T05:51:28.521338Z","submitted_at":"2025-06-06T23:31:36Z","title":"Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T06:01:37.796481Z"},"links":{"citing_paper":"/paper/2506.06582"},"observation_digest":"sha256:4cb496eb75ea7d0685e83690342a41b0618ac8afe4b6303d925312dc1ca3cf6a","observation_id":"f741b834-0323-46b2-b0ed-adb40cd77dbf","resolution":{"observed_at":"2026-08-07T06:01:37.988507Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:01:37.967252Z","title":null,"venue":null,"work_id":"bfa10aee-c97d-4771-a935-33e13c6ce4a1","year":null},"citing_paper":{"arxiv_id":"2506.06582","last_updated":"2025-06-06T23:31:36Z","snapshot_observed_at":"2026-08-07T05:51:28.521338Z","submitted_at":"2025-06-06T23:31:36Z","title":"Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T06:01:37.801306Z"},"links":{"citing_paper":"/paper/2506.06582"},"observation_digest":"sha256:e1b3ed461d2d8538efafb23362f7d02d1e096c2de9e870048b69b0b2a0b18a99","observation_id":"c705cca4-bdfd-4b89-958b-270097a4ba47","resolution":{"observed_at":"2026-08-07T06:01:37.972072Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:01:37.952109Z","title":null,"venue":null,"work_id":"5d43d2bf-47ca-4dc9-8c45-9a77ef88aa45","year":null},"citing_paper":{"arxiv_id":"2506.06582","last_updated":"2025-06-06T23:31:36Z","snapshot_observed_at":"2026-08-07T05:51:28.521338Z","submitted_at":"2025-06-06T23:31:36Z","title":"Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T06:01:37.806158Z"},"links":{"citing_paper":"/paper/2506.06582"},"observation_digest":"sha256:34e7e32985a922246d7a6873aec8bc579db012654327e7028197e8b412849eb8","observation_id":"dd1e32c3-551a-4376-88ad-39ad47c8f24a","resolution":{"observed_at":"2026-08-07T06:01:37.956557Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:01:37.936158Z","title":null,"venue":null,"work_id":"171c0acd-0e2a-4fe4-9a2a-d898d6bfb7e9","year":null},"citing_paper":{"arxiv_id":"2506.06582","last_updated":"2025-06-06T23:31:36Z","snapshot_observed_at":"2026-08-07T05:51:28.521338Z","submitted_at":"2025-06-06T23:31:36Z","title":"Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T06:01:37.811687Z"},"links":{"citing_paper":"/paper/2506.06582"},"observation_digest":"sha256:7faf9ba3911ff1954d884a71d92389fc16bf09281b5134986533dc734b65bd3d","observation_id":"6ce1fe4e-30f7-4e3c-bf22-35175911de3e","resolution":{"observed_at":"2026-08-07T06:01:37.941247Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:01:37.918184Z","title":"Computing the total number of cells gives 2n − 1","venue":null,"work_id":"0aef5e4e-ddd4-4c26-bdfa-6883125c7c72","year":2025},"citing_paper":{"arxiv_id":"2506.06582","last_updated":"2025-06-06T23:31:36Z","snapshot_observed_at":"2026-08-07T05:51:28.521338Z","submitted_at":"2025-06-06T23:31:36Z","title":"Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T06:01:37.816359Z"},"links":{"citing_paper":"/paper/2506.06582"},"observation_digest":"sha256:ae91f5899fb4bbe8f534e0a492d76358a3c4fe48feb6534cbed2a865b65c91e2","observation_id":"b0c774da-2c1f-4073-8f51-13ddf84ab76c","resolution":{"observed_at":"2026-08-07T06:01:37.924510Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2012.09699","last_updated":"2021-01-24T09:38:54Z","snapshot_observed_at":"2026-08-05T19:35:00.334774Z","submitted_at":"2020-12-17T16:11:47Z","title":"A Generalization of Transformer Networks to Graphs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.09699","snapshot_observed_at":"2026-08-07T06:01:37.742766Z","title":"George Dasoulas, Johannes F","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.06582","last_updated":"2025-06-06T23:31:36Z","snapshot_observed_at":"2026-08-07T05:51:28.521338Z","submitted_at":"2025-06-06T23:31:36Z","title":"Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing","version":1},"reference_index":2019,"source":"pdf_text","source_observed_at":"2026-08-07T06:01:37.742766Z"},"links":{"cited_paper":"/paper/2012.09699","citing_paper":"/paper/2506.06582"},"observation_digest":"sha256:e3f0cf0037eb278231dff84c79e223d1bebb04c5c69a0825f27cb5dd1dbe4298","observation_id":"bc97814d-7ce4-4a1a-800a-ff1e1ab73a2d","resolution":{"observed_at":"2026-08-07T06:01:37.742766Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.00606","last_updated":"2023-05-19T22:13:16Z","snapshot_observed_at":"2026-07-06T13:16:28.430109Z","submitted_at":"2022-06-01T16:21:28Z","title":"Topological Deep Learning: Going Beyond Graph Data","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.00606","snapshot_observed_at":"2026-08-07T06:01:37.748160Z","title":"Mustafa Hajij, Ghada Zamzmi, Theodore Papamarkou, Nina Miolane, Aldo Guzm ´an-S´aenz, and Karthikeyan Natesan Ramamurthy","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.06582","last_updated":"2025-06-06T23:31:36Z","snapshot_observed_at":"2026-08-07T05:51:28.521338Z","submitted_at":"2025-06-06T23:31:36Z","title":"Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing","version":1},"reference_index":2020,"source":"pdf_text","source_observed_at":"2026-08-07T06:01:37.748160Z"},"links":{"cited_paper":"/paper/2206.00606","citing_paper":"/paper/2506.06582"},"observation_digest":"sha256:18662950f45f641936c3f106c3e169352b552f46a68cb5b8c1a887b198edd1f4","observation_id":"83400e60-b362-4d14-9b92-f0d9172df7c7","resolution":{"observed_at":"2026-08-07T06:01:37.748160Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:01:38.116699Z","title":"Zhengdao Chen, Soledad Villar, Lei Chen, and Joan Bruna","venue":null,"work_id":"87a0e40a-1d3a-4c0f-b4b2-4ffc41d5c2dc","year":2021},"citing_paper":{"arxiv_id":"2506.06582","last_updated":"2025-06-06T23:31:36Z","snapshot_observed_at":"2026-08-07T05:51:28.521338Z","submitted_at":"2025-06-06T23:31:36Z","title":"Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing","version":1},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-07T06:01:37.737901Z"},"links":{"citing_paper":"/paper/2506.06582"},"observation_digest":"sha256:1feab4afaa31a508d79a604ff9bf19e3e6766d1449e5ec1d2bcdbdfd2ac314db","observation_id":"dc0b0c0a-da79-4f1a-b9aa-ccd7094c81be","resolution":{"observed_at":"2026-08-07T06:01:38.121972Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.13478","last_updated":"2021-05-02T16:16:03Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2021-04-27T21:09:51Z","title":"Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.13478","snapshot_observed_at":"2026-08-07T06:01:37.731916Z","title":"Peter L Bartlett, Dylan J Foster, and Matus J Telgarsky","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2506.06582","last_updated":"2025-06-06T23:31:36Z","snapshot_observed_at":"2026-08-07T05:51:28.521338Z","submitted_at":"2025-06-06T23:31:36Z","title":"Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing","version":1},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-07T06:01:37.731916Z"},"links":{"cited_paper":"/paper/2104.13478","citing_paper":"/paper/2506.06582"},"observation_digest":"sha256:5573a0dfb086446d901fd2bafc7e4490aaa1511b155501962e7ec1f7da090775","observation_id":"4c774b76-6d89-4d0d-a4a6-64f5de412e52","resolution":{"observed_at":"2026-08-07T06:01:37.731916Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2506.06582","last_updated":"2025-06-06T23:31:36Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-07T05:51:28.521338Z","submitted_at":"2025-06-06T23:31:36Z","title":"Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing"},"reference_resolution":{"displayed":17,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":2,"unresolved":11,"verified_exact":0,"verified_fuzzy":4},"total_outbound_references":17},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"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."}