{"as_of":"2026-08-10T04:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ecaad5ccdfe70938ef1f4afb6d2075902901f21367863dfb6193fb494249267b","coverage":[{"denominator":93,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":93,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T00:32:44.210091Z","state":"measured"},{"denominator":93,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":93,"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/2608.01160/citation-record","integrity":"/paper/2608.01160/integrity","json":"/paper/2608.01160/citation-record.json","paper":"/paper/2608.01160"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:32.426937Z","title":"International Conference on Learning Representations , url =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:32.426937Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:b57423f70b8f86f369b94956dbe09e00afe706eee474f1c1b1cc97e5c2e4dc1e","observation_id":"e683a9a9-b9e7-445c-9b8e-9179906ec197","resolution":{"observed_at":"2026-08-06T00:32:32.426937Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:32.494850Z","title":"IEEE Transactions on Pattern Analysis and Machine Intelligence , volume=","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:32.494850Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:6c80c675897581e1d9d8298bc40f5d01c161cc418427f00c9fc1b45588afeac6","observation_id":"47266f2a-0603-449d-bd39-8f7bd3d32797","resolution":{"observed_at":"2026-08-06T00:32:32.494850Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:32.543868Z","title":"Recipe for a general, powerful, scalable graph transformer , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:32.543868Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:32fc7fce85672cae8001fcad9c3fbc1ce093b89312a61669c7974a21ab212dab","observation_id":"6414878b-f08e-4472-8a7e-c3ce5e5a21ba","resolution":{"observed_at":"2026-08-06T00:32:32.543868Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:32.617511Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:32.617511Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:6a8e8a67361c918552c53682427ebc54eae55e501cede5b31d605b35542d1838","observation_id":"d73c7a97-0df2-4c05-b46f-1c555435b5da","resolution":{"observed_at":"2026-08-06T00:32:32.617511Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:32.748229Z","title":"Hansen and R","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:32.748229Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:b5eb4bc82fd090de0c244da71f1a44335c2b30d15eeb09fbca1cfc8f0ed3e530","observation_id":"dbcac9cb-1bc8-4b67-9a32-5555788de45b","resolution":{"observed_at":"2026-08-06T00:32:32.748229Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:32.826041Z","title":"Estimating or Propagating Gradients Through Stochastic Neurons for Conditional Computation , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:32.826041Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:7c96d40f91daf2d960814f49c4760b19a4a9a304f37bf726ddeb4982800c23cf","observation_id":"f276e0e9-617c-4f4e-aa4c-f55f6e06e554","resolution":{"observed_at":"2026-08-06T00:32:32.826041Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:32.944856Z","title":"International Conference on Machine Learning (ICML) , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:32.944856Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:214147e5572b513f37a9391ea6c7531a4be4596a9a740ac98c8f37335fef0280","observation_id":"a09c116c-4638-4bb5-a0d5-83c4cd47a4de","resolution":{"observed_at":"2026-08-06T00:32:32.944856Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:33.054749Z","title":"and Baldwin, N.E","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:33.054749Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:d31d9b67807387dfeda8a11047fb26dffce46ce945829373cf28635a2dc9a5ce","observation_id":"50eb946c-3482-4c2f-a6d9-613324220f7c","resolution":{"observed_at":"2026-08-06T00:32:33.054749Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:33.145259Z","title":"Scarselli and M","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:33.145259Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:cc9847fc9c25d1d43cb3d3888e66d13b48bae18c95f3f47104687354e54e422e","observation_id":"150250b3-986a-481d-8a93-58c7dde330ca","resolution":{"observed_at":"2026-08-06T00:32:33.145259Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:33.254755Z","title":"International Conference on Machine Learning (ICML) , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:33.254755Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:4d8ec57136d04c20a03a6af12c919c5420ad3af72e3fb83696262d21f0a453c2","observation_id":"abdfb84a-f21b-4f9d-877c-dc1ed7d31ae7","resolution":{"observed_at":"2026-08-06T00:32:33.254755Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:33.405941Z","title":"Proceedings of the 41st International Conference on Machine Learning , pages =","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:33.405941Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:888082029c691955a7fd859e7141bafbaab9efb52dda6f18c06c0f98c1cc1b36","observation_id":"03104cca-3cc3-4b1d-b878-d61091043303","resolution":{"observed_at":"2026-08-06T00:32:33.405941Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:33.514763Z","title":"Architectures of Topological Deep Learning: A Survey on Topological Neural Networks , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:33.514763Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:df54f0802bda0f40a0a584c47ab1a8fb8be7099c1694a48597ef29f36f177ba5","observation_id":"aa547f53-cbac-47d3-a18f-3200d221e144","resolution":{"observed_at":"2026-08-06T00:32:33.514763Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:33.614833Z","title":"Advances in Neural Information Processing Systems (NeurIPS) , title =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:33.614833Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:d3f383d64f391fae8294b5e6f2eccf0b03555f9e44244b0eeee699f8e70ba88c","observation_id":"6742abd2-2dfe-4f20-85c6-aed2286af9e8","resolution":{"observed_at":"2026-08-06T00:32:33.614833Z","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":"2026-08-06T00:32:52.562841Z","title":"Journal of Machine Learning Research , volume=","venue":null,"work_id":"bae0d724-71f1-4280-a299-1d24bb81c789","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:33.714754Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:5947097700f1bd9cde466e85ba71aab6271f3a5110e16cf5cff2b7993aa036a1","observation_id":"9e28d3d6-d359-4bb7-b424-926d677d2196","resolution":{"observed_at":"2026-08-06T00:32:52.588167Z","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":"2026-08-06T00:32:52.520628Z","title":"Forty-second International Conference on Machine Learning (ICML) , year=","venue":null,"work_id":"5236b417-ac1c-4b10-a8d4-051f7a3de011","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:33.836426Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:53491daffc6eb00af97bdc9e69063761ebd0e5a5c9fd0ddd3bd75bdba6382c2a","observation_id":"2bbf8356-b329-4f43-8cbe-d62f5e490931","resolution":{"observed_at":"2026-08-06T00:32:52.527855Z","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":"2026-08-06T00:32:52.476108Z","title":"Advances in neural information processing systems , volume=","venue":null,"work_id":"82fe97cb-cd74-47c2-827e-84b01dfcb240","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:33.954696Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:393be2b60ee0f9415afe5c3c48c819e0dea079a1c504ffa69c40182ff11e4f29","observation_id":"a0f1ea67-a167-4648-bb27-f34923e9b2e0","resolution":{"observed_at":"2026-08-06T00:32:52.493513Z","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":"3219.36323","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:44.910460Z","title":null,"venue":null,"work_id":"7428379b-d00c-418f-ad49-dc07a9758650","year":1969},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:34.098462Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:d76708e9b2e49e390c47bdeea19c024469f28eec87be83b0352f9707a1d888dd","observation_id":"8817b292-060d-4f65-b1ac-54b9bf197c2e","resolution":{"observed_at":"2026-08-06T00:32:45.076878Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"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":"2026-08-06T00:32:52.391577Z","title":"International Conference on Machine Learning (ICML) , year=","venue":null,"work_id":"b6429830-e0e8-429c-8eb6-e207cbc28ac5","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:34.315038Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:560096ca4202d421fcfe71acc7b938b9cccd16e6b80883af3cc21b3f67bbf773","observation_id":"26b1b73a-15b3-4ad2-8fae-2d7714b1cb15","resolution":{"observed_at":"2026-08-06T00:32:52.408820Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:34.464893Z","title":"Proceedings of The 33rd International Conference on Machine Learning , pages =","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:34.464893Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:30e8278d3fc3352eb59a98772909984abd75e62b3375e9e957b46758f89b4bd6","observation_id":"c9beb377-d421-44e9-b99a-68660f891d53","resolution":{"observed_at":"2026-08-06T00:32:34.464893Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.00743","last_updated":"2021-03-02T03:50:54Z","snapshot_observed_at":"2026-08-09T13:50:11.622599Z","submitted_at":"2020-10-02T01:38:12Z","title":"Cell Complex Neural Networks","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.00743","snapshot_observed_at":"2026-08-06T00:32:34.634856Z","title":"arXiv preprint arXiv:2010.00743 , year=","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:34.634856Z"},"links":{"cited_paper":"/paper/2010.00743","citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:a881b01f72b693a04647e0c8efc1a7b317bedca8a9e51ec359dfc65325f0e0c1","observation_id":"83602ea8-73ef-4687-bffc-eb56bb3cec2c","resolution":{"observed_at":"2026-08-06T00:32:34.634856Z","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":"2026-08-06T00:32:52.247323Z","title":"and Kottur, S","venue":null,"work_id":"86d5e0e4-8fce-4b85-be74-af53285195bf","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:34.799370Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:84b76c6c884c7f367eef51131db04539c1bf1ef468891effcb1726c90e89b9eb","observation_id":"49335982-d674-4d1f-ae96-01f2f1dc2037","resolution":{"observed_at":"2026-08-06T00:32:52.262668Z","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":"2026-08-06T00:32:52.141012Z","title":"CAAI International Conference on Artificial Intelligence , pages=","venue":null,"work_id":"39b1cd78-52ba-4f32-89e2-394c1f20b37f","year":2022},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:34.875014Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:e7b0577074c34df555d8fc9c489b741ea464e265f1ee9f4c00d6c11eb18f38d2","observation_id":"787b31ea-5361-4811-9309-081321ddaeec","resolution":{"observed_at":"2026-08-06T00:32:52.164749Z","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":"2026-08-06T00:32:52.093712Z","title":"Bioinformatics , volume=","venue":null,"work_id":"78ef9882-9997-4ae0-a505-65e64595f3af","year":2022},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:34.984847Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:af68459c94932cba6bba992b271111b2be10dffdbff5ccdbaca291a984e287eb","observation_id":"4de2c435-1df3-40e3-839c-c632aa689d0b","resolution":{"observed_at":"2026-08-06T00:32:52.112745Z","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":"2026-08-06T00:32:52.029564Z","title":"Medical image analysis , volume=","venue":null,"work_id":"9bf7160f-0b9f-4a63-ab86-9a78a8619d9f","year":2023},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:35.124863Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:22a6d82dd18f18ad076379e48005092ce3ec7fd28f950607655661a6bd866d57","observation_id":"593ac4c9-985c-4eef-8a6b-e1b425e70500","resolution":{"observed_at":"2026-08-06T00:32:52.054748Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:35.345006Z","title":"Pattern Recognition , volume=","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:35.345006Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:1c70d6a0f5c292a7802d4310a3028ac406f19b982e7359ac6ed6f199ac7089bc","observation_id":"fabaaaa4-172a-40ef-8baf-d67b21664c68","resolution":{"observed_at":"2026-08-06T00:32:35.345006Z","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":"2026-08-06T00:32:51.956494Z","title":"Advances in neural information processing systems , volume=","venue":null,"work_id":"37a9abf6-0e7e-4a33-8fcd-f7a1e5292baa","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:35.447868Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:86939ec30e4b7cac0a28cabd824ea335fa1955327196a2d7aabd95172799c84a","observation_id":"c73615c7-7802-4182-a7b8-77319e47ba1b","resolution":{"observed_at":"2026-08-06T00:32:51.980692Z","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":"2103.04046","last_updated":"2022-02-02T04:30:27Z","snapshot_observed_at":"2026-08-09T02:14:52.103790Z","submitted_at":"2021-03-06T06:33:04Z","title":"Simplicial Complex Representation Learning","version":6},"cited_work":{"arxiv_id":"2103.04046","doi":null,"metadata_source":"pith","pith_arxiv_id":"2103.04046","snapshot_observed_at":"2026-08-06T00:32:44.471558Z","title":"Simplicial Complex Representation Learning","venue":"cs.LG","work_id":"28d94074-4cac-4e26-8250-ce26072c9c03","year":2021},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:35.502616Z"},"links":{"cited_paper":"/paper/2103.04046","citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:888daff8b2d9dc758df36255ab29b5a26058791efce8aafbbf4a2e564f1d6292","observation_id":"b3e317cd-330e-4108-8eac-093f1fc8e4df","resolution":{"observed_at":"2026-08-06T00:32:44.584670Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"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":"2204.09455","last_updated":"2022-04-20T13:41:50Z","snapshot_observed_at":"2026-08-10T03:38:49.601653Z","submitted_at":"2022-04-20T13:41:50Z","title":"Simplicial Attention Networks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.09455","snapshot_observed_at":"2026-08-06T00:32:35.604829Z","title":"arXiv preprint arXiv:2204.09455 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:35.604829Z"},"links":{"cited_paper":"/paper/2204.09455","citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:d0486f1d6b04b4352e0c67014b7d54c44b03e411ac94f03ca93a705b7b3bc03b","observation_id":"9244f5cc-8d29-42c4-aeae-f781d10b97f1","resolution":{"observed_at":"2026-08-06T00:32:35.604829Z","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":"2026-08-06T00:32:51.913314Z","title":"International Conference on Learning Representations (ICLR) , year=","venue":null,"work_id":"00ff7a7a-70b3-4fbd-a2c7-5a9b8cc624d3","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:35.679572Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:03be1fed7da4e8eeed58877d16c870c38c831d82e3d2c958cd48850b40b14d50","observation_id":"efe08ab6-b423-45be-9cbb-c390dba8da20","resolution":{"observed_at":"2026-08-06T00:32:51.932260Z","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":"2026-08-06T00:32:51.836480Z","title":"and Miolane, Nina and Scardapane, Simone and Papamarkou, Theodore , journal=","venue":null,"work_id":"0c757489-7ecb-48b7-8a81-bf3255453c2c","year":2025},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:35.775921Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:1f2cb98c2ab580b1f1172ea606951b9260129a416f5e316aa8021e82bebb450d","observation_id":"63d87505-f84e-430e-ba7c-1e0199e93457","resolution":{"observed_at":"2026-08-06T00:32:51.865159Z","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":"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":"2026-08-06T00:32:35.844194Z","title":"arXiv preprint arXiv:2206.00606 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:35.844194Z"},"links":{"cited_paper":"/paper/2206.00606","citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:a298c3d57c917ff90a011932fe79ce81718177c942780ffca6a9be3992db7e4e","observation_id":"438c7efe-3d24-4f17-aa3e-ae2de44c5c6c","resolution":{"observed_at":"2026-08-06T00:32:35.844194Z","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":"2026-08-06T00:32:51.761522Z","title":"International Conference on Learning Representations (ICLR) , year=","venue":null,"work_id":"3181632f-670d-4e9b-b972-075df4e938c5","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:35.933657Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:a7506d1e4e56080a1e9f7fd94c4fc5cc5027a52c9567842907e52d7965b8bfe8","observation_id":"f0cbf4c4-59c6-446c-936a-c1f30c45b43e","resolution":{"observed_at":"2026-08-06T00:32:51.777876Z","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":"2026-08-06T00:32:51.728916Z","title":"and Sterling, Teague and Mysinger, Michael M","venue":null,"work_id":"3a3fbd56-2b3f-413e-969a-898e3992a45a","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:36.069404Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:1dcb8899d28320497d1123d806646abebe71e5ce3ffe64e8087ea41f86ea4c9a","observation_id":"e1a4b73b-046b-4a59-9217-bb463dd79366","resolution":{"observed_at":"2026-08-06T00:32:51.738010Z","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":"2026-08-06T00:32:51.700900Z","title":null,"venue":null,"work_id":"b84b876d-b915-4d51-8685-2ad498a36cba","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:36.184759Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:d0aafb0665196826ea1e3471ea2294a316b6f3fd12c6b2a24365fc05073a9997","observation_id":"0ab1d13d-5b70-44e8-9760-b7c8e7599cbd","resolution":{"observed_at":"2026-08-06T00:32:51.709686Z","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":"2026-08-06T00:32:51.648476Z","title":"Coolsaet and S","venue":null,"work_id":"89ff133c-3d02-4d0d-9201-f684481548b9","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:36.254859Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:ea632d37286d26105d8b46a82495b7e1116f9aea55bc653cd88d5f6b4ffe74d7","observation_id":"3883109a-fa11-4dda-a814-4d908f8ab18d","resolution":{"observed_at":"2026-08-06T00:32:51.665962Z","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":"2026-08-06T00:32:51.613866Z","title":"Topological, Algebraic and Geometric Learning Workshops 2023 , pages=","venue":null,"work_id":"3f9ad26b-acfc-4966-afe7-cc47511c8122","year":2023},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:36.458903Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:e4b82638a2858dd27d8542e580b2af5671f4cd50b0e84c7514c8b096637bfa57","observation_id":"53d1f715-0ed7-496a-92ab-d92fbc10daa0","resolution":{"observed_at":"2026-08-06T00:32:51.622006Z","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":"2026-08-06T00:32:51.576252Z","title":"2021 , doi=","venue":null,"work_id":"0c05eead-4be1-4078-ba88-8c19ba4559dd","year":2021},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:36.639447Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:7f525cb2006d134ced2c9b45f49fe376c99536aae4ff2b4d95bd80d9fd351439","observation_id":"65ecc13e-6994-4308-9ba7-5a4983058100","resolution":{"observed_at":"2026-08-06T00:32:51.588564Z","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":"2026-08-06T00:32:51.501047Z","title":"Proceedings of the Twenty Third International Conference on Artificial Intelligence and Statistics , pages =","venue":null,"work_id":"362d8a82-529d-4c3a-876a-611a4b8b9237","year":2020},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:36.816190Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:523c5962ca665f39e6e63026b2558e218a162d63affa261785c50200fb9be712","observation_id":"c45a5b22-4cf8-459e-8127-a959b34c9a6d","resolution":{"observed_at":"2026-08-06T00:32:51.511073Z","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":"2026-08-06T00:32:51.364755Z","title":"Fey and J","venue":null,"work_id":"b9f09fb3-e1bf-40f2-833b-f36bb15f1a87","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:37.006930Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:bcd5cba22080890dd3511e9f624d705165517d2b8e97df7ab011681b409f1d9d","observation_id":"da10ebc1-6bbe-4596-9f45-2a3b46018280","resolution":{"observed_at":"2026-08-06T00:32:51.398497Z","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":"2026-08-06T00:32:51.264754Z","title":"2016 , url =","venue":null,"work_id":"f292ae28-d392-49c4-8340-5b9b432b4f20","year":2016},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:37.086784Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:9ca5eec61156519ad6017a8361958fff01ee1f846fd53902d9225e27ad6df302","observation_id":"5f489783-aca9-4ace-906a-79b83e7d279c","resolution":{"observed_at":"2026-08-06T00:32:51.280395Z","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":"2026-08-06T00:32:51.204749Z","title":"Topology-Preserving Deep Image Segmentation , year =","venue":null,"work_id":"bb40f5f0-5099-4bb2-af07-f35c8bdf942a","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:37.245976Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:133b22f8d37f5022d7dc7ccd7ffff5a866a8657e914120d41ce5a8573b010a8f","observation_id":"cbbbbb82-41a4-4236-ba64-1047cf36066d","resolution":{"observed_at":"2026-08-06T00:32:51.236708Z","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":"2026-08-06T00:32:51.139410Z","title":"and Ovsjanikov, M","venue":null,"work_id":"31506798-5602-4e90-9eeb-16b92c4ae8a2","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:37.421039Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:e6bca91c9734ef2510516e28bb77ce9d4d95d230d37560a8c4cb86bb2deeb7c2","observation_id":"5bb86712-a286-4b47-91a7-04104c3fa5f5","resolution":{"observed_at":"2026-08-06T00:32:51.164760Z","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":"2026-08-06T00:32:51.085040Z","title":"Garg and S","venue":null,"work_id":"4e03ac79-c183-47f5-87df-95c6c2e440c9","year":2020},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:37.521461Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:0a9fb28418cc50a59a1a29bb5f9e7e7b7d1877f9c98e56b276cf26ca1674f7a6","observation_id":"202a6628-dc8e-41ae-b72c-c835b99c9b00","resolution":{"observed_at":"2026-08-06T00:32:51.095198Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:37.642146Z","title":"Hagberg and Daniel A","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:37.642146Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:e331ca4a9023a8de702e4e83e5b4dc14aa92805291ab5e064eb9c43cf361860d","observation_id":"d519cb4a-499c-4864-ac84-ae905ded84de","resolution":{"observed_at":"2026-08-06T00:32:37.642146Z","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":"2026-08-06T00:32:50.997549Z","title":"Morris and M","venue":null,"work_id":"2415451c-4af9-4744-b7ef-7e1a8660e4e2","year":2019},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:37.743578Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:1b6e9244c54d43f5bf04eb5ca5c968a042d19c6f6165c437e9b3065c82256e71","observation_id":"5c8257e5-838a-4c8a-855f-a8dcde3c4cf4","resolution":{"observed_at":"2026-08-06T00:32:51.010339Z","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":"2026-08-06T00:32:50.924755Z","title":"Loukas , title =","venue":null,"work_id":"bc054dfa-3335-4457-a0cf-2f29795f0cae","year":2020},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:37.839894Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:f39ccf236004d9ab10d6a4032e8181ec770a73caac192308fb593e3cb3321b3e","observation_id":"74697de6-b288-4e9f-b4f8-935b8ba2e5ac","resolution":{"observed_at":"2026-08-06T00:32:50.934672Z","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":"2026-08-06T00:32:50.881707Z","title":"Loukas , booktitle =","venue":null,"work_id":"8491b813-6c93-4ea7-af9c-9f81513af3c4","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:37.983358Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:da9e02c044a34d65fcf3935c2bcce2ed8ddacf329d64cdd23c382e638e2d07b2","observation_id":"c02098b4-6c41-4e55-9c1d-9e634ab9408f","resolution":{"observed_at":"2026-08-06T00:32:50.894751Z","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":"2026-08-06T00:32:50.840520Z","title":"Statistical Applications in Genetics and Molecular Biology , year =","venue":null,"work_id":"273dc74a-3d99-4ba8-b5ac-d9794b2f5731","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:38.110119Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:da287d2af64768c8eaf6ec60a5b19fc27dc2c894944f1ff11458ba178f08c77e","observation_id":"0dda60c4-b2c4-4981-bfb5-96ef58547280","resolution":{"observed_at":"2026-08-06T00:32:50.855772Z","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":"2026-08-06T00:32:50.788034Z","title":"Topological Persistence and Simplification , volume =","venue":null,"work_id":"5abae018-47d9-4cd7-8a73-3ae1409fbef8","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:38.204752Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:ab17a5c2491485c9d4b7cd30bf17f8933a98703a75476ed578a71a81303dedd2","observation_id":"ac44facf-0b6f-4ea3-8f3c-24dca03165f0","resolution":{"observed_at":"2026-08-06T00:32:50.794081Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:38.294557Z","title":"International Conference on Learning Representations (ICLR) , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:38.294557Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:c6d2e5c38658948689beac770a5599f18c10e6b7b53accf91fd4bdb00f45e06f","observation_id":"27d68167-c267-4488-8541-1d66e9f00ed4","resolution":{"observed_at":"2026-08-06T00:32:38.294557Z","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":"2026-08-06T00:32:50.660920Z","title":"International Conference on Artificial Intelligence and Statistics (AISTATS) , year =","venue":null,"work_id":"bd036dd7-72fe-45f4-9503-ba6f33b72af9","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:38.433566Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:c72a80454f258bfb08e8e4b0b1c832829006e5c23fb553be39ebf0bf096170a1","observation_id":"a5226e31-fcb2-4585-9c09-ec390e11418e","resolution":{"observed_at":"2026-08-06T00:32:50.694239Z","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":"2026-08-06T00:32:50.564776Z","title":"Advances in Neural Information Processing Systems (NeurIPS - Workshop) , year=","venue":null,"work_id":"f7c2bd23-a29a-4c90-9fff-9747aea062ce","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:38.594858Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:370fe6f894f1642776bef6aa04dcf9d8ecc95df6fc38e74239497f5e648cec03","observation_id":"759e3533-9559-449a-af5c-9c5917e124ad","resolution":{"observed_at":"2026-08-06T00:32:50.604753Z","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":"2026-08-06T00:32:50.478503Z","title":null,"venue":null,"work_id":"de24c158-0961-4de3-b35d-22117360f42c","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:38.719786Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:ecadd40c71af8f2df07aebd394825004b69b581a3eef0cff375472b36dfb9e36","observation_id":"18be8685-5a13-4aa0-9910-4fda4aa0ec12","resolution":{"observed_at":"2026-08-06T00:32:50.490697Z","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":"2026-08-06T00:32:50.339067Z","title":"and Edelsbrunner, H","venue":null,"work_id":"d1d68a40-38eb-4d90-8e51-12a28403744e","year":2005},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:38.893191Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:d0d04b92244f2b3f7e3a3eb103f465b1daf5c3cda6840aa18be97986f0086864","observation_id":"b22f8082-178c-421b-a974-4c7782c67a07","resolution":{"observed_at":"2026-08-06T00:32:50.400889Z","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":"2026-08-06T00:32:50.055630Z","title":"Weisfeiler and A","venue":null,"work_id":"0e2ed58c-4b46-4d21-8c0e-eef815af7997","year":1968},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:38.966902Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:3f0587a3e8d877e1d0ebfd85169b1890185c7ac7a08eaf06758d54f6d89717b5","observation_id":"c10ab440-9754-4200-bfba-6de7ebd92d2a","resolution":{"observed_at":"2026-08-06T00:32:50.188912Z","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":"2026-08-06T00:32:49.695938Z","title":"International Conference on Machine Learning (ICML) , year =","venue":null,"work_id":"5fdecf95-58a4-4258-b83e-9db4305f7946","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:39.092812Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:a124b7ec0e0c189ef80f694312c4f03758012be170bfa5e68a067df8f181773a","observation_id":"81a82629-cf68-42f2-b92d-c9bcd0459860","resolution":{"observed_at":"2026-08-06T00:32:49.958261Z","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":"2026-08-06T00:32:49.409586Z","title":"Advances in Neural Information Processing Systems (NeurIPS) , year=","venue":null,"work_id":"2c7dfde5-dbdc-41cc-8008-a430f471ac72","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:39.203468Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:a1413249a78d71c9161e4094f2e9a1c56129f8557eea7e7e0449b89d321e3394","observation_id":"a56a94a2-3e38-4bfd-bb08-196225ccd68e","resolution":{"observed_at":"2026-08-06T00:32:49.563721Z","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":"2026-08-06T00:32:49.073352Z","title":"Horn and E","venue":null,"work_id":"7cfa051f-6daf-47c3-bc3a-0358b6d6459c","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:39.317333Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:1742695de4e4304c1605a7f3acc301446a3e2ba0c7dea7af1380e4a7bb22fe28","observation_id":"f54e06a9-5ff5-474f-bde8-d2e075bb5a01","resolution":{"observed_at":"2026-08-06T00:32:49.184677Z","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":"2026-08-06T00:32:48.752896Z","title":"Edelsbrunner and J","venue":null,"work_id":"223684bf-b0f4-4dd3-b7f1-a70d4f14fc91","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:39.429243Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:d7f978bcdc506a718f430845a89c8091d39578712c50b4d7ca816eab49ef4119","observation_id":"efc5d7a7-9cf8-4cbe-bb92-de14b88127f2","resolution":{"observed_at":"2026-08-06T00:32:48.874753Z","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":"2026-08-06T00:32:48.629206Z","title":"2024 , volume =","venue":null,"work_id":"ad008d82-39e5-4ccc-9058-7dbd9e202b8f","year":2024},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:39.548393Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:c79a4852ab38b4ae0adc9790880e5eb5ff6637418da207636f473fbbbedd7c50","observation_id":"3493d4c5-468c-4c70-8c46-b81484e87cde","resolution":{"observed_at":"2026-08-06T00:32:48.694157Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:39.702028Z","title":"Advances in Neural Information Processing Systems (NeurIPS) , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:39.702028Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:a59acfd1a08d13b34278d45e43196a607f65c7f394bc9aae6f0ede246cd8d89b","observation_id":"f04d903f-b454-401e-b26d-efd7f1f38b24","resolution":{"observed_at":"2026-08-06T00:32:39.702028Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:39.848547Z","title":"Journal of Machine Learning Research , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:39.848547Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:f1c3f6f8bb160ea4e15fb0f1530a6eb926f120b7650d0c94ec7259b4c3fd7238","observation_id":"c64570fb-8d94-477b-8e99-51d6bcb5cea1","resolution":{"observed_at":"2026-08-06T00:32:39.848547Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:39.954757Z","title":"AI Magazine , author=","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:39.954757Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:54be6b94b178bda13f288d0f297dbfb2f0eda986efd7feaa83a65b6d39860cfd","observation_id":"2ecc419a-7a7a-43f8-b821-f51bc21db7c8","resolution":{"observed_at":"2026-08-06T00:32:39.954757Z","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":"2026-08-06T00:32:48.224752Z","title":"Journal of Complex Networks , volume =","venue":null,"work_id":"da431683-aeb4-43b6-af9a-3572d59da195","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:40.124402Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:e177639478c70e3f6d95e8a8c2e1c3df4511f4061f7cff49927b0a28fb219bf4","observation_id":"eea12d14-c4b4-4855-bbad-b1a5961ba588","resolution":{"observed_at":"2026-08-06T00:32:48.325878Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:40.259137Z","title":"2000 , publisher=","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:40.259137Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:9a9a9c44141984f78e75468f4c0effd129af0a2789ed92138197a793f458c5f3","observation_id":"81c854c2-5e53-4ebf-b0ac-737a27235abd","resolution":{"observed_at":"2026-08-06T00:32:40.259137Z","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":"2026-08-06T00:32:47.875974Z","title":"Advances in Neural Information Processing Systems (NeurIPS) , year=","venue":null,"work_id":"4218de0a-e3be-43dd-8f5a-136dbe18d29e","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:40.394997Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:ee37803dbc45a015c807e9210c5dffdc0366b55ccb0862c3320de5941640bc0c","observation_id":"c65a4342-b0eb-478d-b61f-9a5bfde3db86","resolution":{"observed_at":"2026-08-06T00:32:47.940818Z","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":"2026-08-06T00:32:47.794386Z","title":"IEEE Transactions on Pattern Analysis and Machine Intelligence , volume=","venue":null,"work_id":"b935482a-eb54-408d-b0d9-785dbae43e02","year":2022},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":67,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:40.541872Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:6870f44e9621a923aa7a5a6f65ec352442a3d2c50703b71ae244a38561691299","observation_id":"5267b508-523b-4059-b97d-c4849fcce62b","resolution":{"observed_at":"2026-08-06T00:32:47.824751Z","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":"2026-08-06T00:32:47.711668Z","title":"International conference on machine learning , pages=","venue":null,"work_id":"753c3b2f-2570-4653-9057-297b3e4a05c0","year":2019},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":68,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:40.618811Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:7d01e481789105b07b83830327c8a73e0964613c0a7bf5ac598389e5d4835756","observation_id":"adc0c7ae-a09d-4688-9f65-8f60187f1f3f","resolution":{"observed_at":"2026-08-06T00:32:47.747293Z","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":"2026-08-06T00:32:47.645715Z","title":"ICASSP 2022-2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) , pages=","venue":null,"work_id":"a4b2a084-4555-4eb1-b771-593b0da3949a","year":2022},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:40.764754Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:93facd84868444348834b412c0f5c201345b95a7a337cb8464a8a7be187653d4","observation_id":"8d284694-1693-4190-b115-dfd20fa01555","resolution":{"observed_at":"2026-08-06T00:32:47.674312Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:40.893863Z","title":"IEEE Transactions on Image Processing , volume=","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":70,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:40.893863Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:fe92fdc4688b7fc4845b59a7916d4c1436a4a31659d4ad03575f71bc8654d157","observation_id":"dd59c75b-b4c4-41aa-ad3b-f2e6d4b4fd2b","resolution":{"observed_at":"2026-08-06T00:32:40.893863Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:41.086124Z","title":"International Conference on Learning Representations , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":71,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:41.086124Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:082c969711489b8ea4530c05b741d90fc93de3bfc89d47a5e591b941f8229a56","observation_id":"24c2c8c7-b1f9-411d-b915-12b3f6d47993","resolution":{"observed_at":"2026-08-06T00:32:41.086124Z","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":"2026-08-06T00:32:47.416941Z","title":"Relational Representation Learning Workshop, NeurIPS 2018 , year=","venue":null,"work_id":"05f052dc-7f1a-4cf6-bef5-dd8858994898","year":2018},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":72,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:41.252002Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:a41b7994b3b2ca6a855b29980a30e131b39cc52197768a871bc2a1468c66816b","observation_id":"765884a4-a6a8-47b0-9a0d-3b134cbec34d","resolution":{"observed_at":"2026-08-06T00:32:47.444837Z","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":"2026-08-06T00:32:47.224756Z","title":"2020 IEEE International Conference on Image Processing (ICIP) , pages=","venue":null,"work_id":"fec166b5-1a07-4ff7-85de-b134e166113d","year":2020},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":73,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:41.384907Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:b5448eb9d3d0d8421c856ad92593b4de355c6b239dc7fb09ef6c7607c8e0894c","observation_id":"8a2aac5b-484f-4937-af19-cc3bd06756c6","resolution":{"observed_at":"2026-08-06T00:32:47.284751Z","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":"2026-08-06T00:32:47.096939Z","title":"BMC bioinformatics , volume=","venue":null,"work_id":"56638d22-77a7-4754-a298-ea1dba9def62","year":2021},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":74,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:41.630152Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:022b9defa909a958ab11a645d9e6db80f8dc72ddcf070db12e1acceabbbb1131","observation_id":"83d56650-e0f5-4cf3-9642-10452fe7adf7","resolution":{"observed_at":"2026-08-06T00:32:47.105890Z","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":"2026-08-06T00:32:47.020458Z","title":"International Conference on Learning Representations (ICLR) , year=","venue":null,"work_id":"db91489f-0688-4cb5-a0b2-eff7e595ae93","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":75,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:41.752391Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:2737a665dd3f43de5cec2c857a0bbcd1491f792e16553b2839a07cfd9e149db9","observation_id":"5de61bd4-e6a2-4a33-8eae-1e8054c1968c","resolution":{"observed_at":"2026-08-06T00:32:47.046333Z","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":"2026-08-06T00:32:46.914824Z","title":"Proceedings of the AAAI Conference on Artificial Intelligence , volume=","venue":null,"work_id":"a5bf889e-b69d-481d-9fdd-7df6d1b673c4","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":76,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:41.874953Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:39b3dec911b0059738dbda0bf9a64c028799307fe07750b4602ed146d7e8a3bc","observation_id":"02c6fa8d-6968-487a-8059-1c4e72435985","resolution":{"observed_at":"2026-08-06T00:32:46.946267Z","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":"2026-08-06T00:32:46.841578Z","title":"Advances in neural information processing systems , volume=","venue":null,"work_id":"d985769b-028a-43ce-825b-6420fc2bcb0b","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":77,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:41.955718Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:61bc138eb7c76eb4233aa4bccfae5b767c3b84b475a34b639db05d0d87c56c0d","observation_id":"0b7f68e0-f2a5-41b1-9a67-e12cc0541577","resolution":{"observed_at":"2026-08-06T00:32:46.863822Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:42.114778Z","title":"Proceedings of the 26th ACM SIGKDD international conference on knowledge discovery & data mining , pages=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":78,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:42.114778Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:f1e662a94e4c158485a30f4dc90f5df4c0e3787bdecf91d74abb6ed3da6a65fc","observation_id":"b10194b3-c954-4261-aa73-52585a9eb92b","resolution":{"observed_at":"2026-08-06T00:32:42.114778Z","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":"2026-08-06T00:32:46.759669Z","title":"IEEE Transactions on Signal Processing , volume=","venue":null,"work_id":"e15df209-19ab-49fb-88d5-e1e50dd405f0","year":2020},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":79,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:42.334776Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:4d474bfe3fd5edc3d82663325108dde40e55e911692730659538333d2ee3f96a","observation_id":"26fd5533-e633-4534-8b22-f411bac7cfd1","resolution":{"observed_at":"2026-08-06T00:32:46.778347Z","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":"2026-08-06T00:32:46.701108Z","title":"and beyond , author=","venue":null,"work_id":"552d1959-7951-400c-8f02-1a75c4d05c00","year":2021},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":80,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:42.420964Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:413106dfb13966a9cadd697c301df78295cb7448ecde9832201856d1cc809703","observation_id":"75a9ea48-b082-47bb-94cf-fe797ac3ed92","resolution":{"observed_at":"2026-08-06T00:32:46.719571Z","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":"2026-08-06T00:32:46.624621Z","title":"ICASSP 2022-2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) , pages=","venue":null,"work_id":"6d2655fa-a7cf-40c2-8e22-cb2ce80ffd6c","year":2022},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":81,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:42.547270Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:134f756b03dc8890a7cec2dc9b1027b2726acf0e5e7ddd08364400c07ff5e1fb","observation_id":"ed615aab-c1eb-4cc8-9a5e-2f0e1246fe62","resolution":{"observed_at":"2026-08-06T00:32:46.637743Z","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":"2026-08-06T00:32:46.555957Z","title":"2021 55th Asilomar Conference on Signals, Systems, and Computers , pages=","venue":null,"work_id":"2daf9c2e-bc37-441b-8c41-d59496df61f1","year":2021},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":82,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:42.634791Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:ece33e77329d076875fab3eb48e9caa5d309bc05538681bb0e732ea808661923","observation_id":"94e377f7-b8e1-4478-9a91-d0523e4e4071","resolution":{"observed_at":"2026-08-06T00:32:46.580328Z","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":"2026-08-06T00:32:46.499582Z","title":"Proceedings of the 41st International Conference on Machine Learning , pages =","venue":null,"work_id":"448855c2-8439-4836-be25-e942add6ddf5","year":2024},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":83,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:42.807407Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:60ae0b2a384709f1234d07258878e9da57b7b248ce132967f6e3a690a5f0f4a6","observation_id":"08bd70ce-96f4-4fe5-ae08-51171772bf20","resolution":{"observed_at":"2026-08-06T00:32:46.520909Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:42.900391Z","title":", title =","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":84,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:42.900391Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:f7c7d27435557abd9a8e10fcc0358a3aaa6f5f3665884e4dbb885e3e2527dd18","observation_id":"77bd4a68-7eaa-47d7-b6bb-02b88fc5df4c","resolution":{"observed_at":"2026-08-06T00:32:42.900391Z","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":"2026-08-06T00:32:46.431903Z","title":"On over-squashing in message passing neural networks: the impact of width, depth, and topology , year =","venue":null,"work_id":"b196280b-bf7e-455f-8402-945afefc47f5","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":85,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:43.024793Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:03eeb32a5ed2a1c685f18b98b720f2476b2c6129a851fbb6a407213eeeb7ee35","observation_id":"bfa89fd0-7a29-457c-9cd8-ad81f15e0448","resolution":{"observed_at":"2026-08-06T00:32:46.462861Z","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":"2026-08-06T00:32:46.361667Z","title":"The Thirteenth International Conference on Learning Representations , year=","venue":null,"work_id":"0cef22d9-f532-49ba-b306-177d001c5efa","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":86,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:43.157702Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:0b98e8c7e4a9458ba710ee0a224b21235656dd7182d46e26821483575c88540c","observation_id":"c3848ca2-557a-4145-b0fa-7ad9b1f5611b","resolution":{"observed_at":"2026-08-06T00:32:46.382207Z","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":"2026-08-06T00:32:46.054345Z","title":null,"venue":null,"work_id":"8ae4a75a-ec9a-4d4a-85a2-f7398e396adc","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":87,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:43.271051Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:b2dcb830a843c39b50fa15d10a43318021014bd5a8fe9699beeecdddf5ba18bd","observation_id":"4c0f403c-3445-451a-b17c-6d99e0793b08","resolution":{"observed_at":"2026-08-06T00:32:46.210430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:43.407056Z","title":"2002 , publisher=","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":88,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:43.407056Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:0518fd815718c27e6a80d01e9afb61a525c1716a79ae1511615f8eb390d57a6f","observation_id":"c3db62a1-e4df-4050-8086-f4e5755a5408","resolution":{"observed_at":"2026-08-06T00:32:43.407056Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:43.486211Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":89,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:43.486211Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:25794f6572ff11a2d2816d9c017d1d8385adc9dba7af7cac75c065edc0c8af44","observation_id":"e7623f8c-fc92-4bc2-81d1-a564cf094b3c","resolution":{"observed_at":"2026-08-06T00:32:43.486211Z","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":"2026-08-06T00:32:45.673631Z","title":"International Conference on Artificial Intelligence and Statistics , pages=","venue":null,"work_id":"eca5fbc7-0cd7-420c-9516-eca0bd9fa99b","year":2022},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":90,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:43.674758Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:9ba26eb009fd5e143655910556e6896a94b5b946daf7a3ba1ba55d6f1df72dfa","observation_id":"b751ddaf-fcfc-4526-9021-7179dda4edec","resolution":{"observed_at":"2026-08-06T00:32:45.803480Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:43.820285Z","title":"International Conference on Learning Representations , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":91,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:43.820285Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:5f4c471b55f8071107e58e7f8c4f01868061da6fbb7e9e4c564e77f3f3fa4e5a","observation_id":"370d078d-6c1c-4979-bd67-264f51f784fb","resolution":{"observed_at":"2026-08-06T00:32:43.820285Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:32:44.054747Z","title":"International conference on machine learning , pages=","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":92,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:44.054747Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:891f51682f123fcd4361ff8e6ca8b23ecf944805d666f95aca44e84256d5f843","observation_id":"94099e32-4555-4e20-9a24-fb88667f0168","resolution":{"observed_at":"2026-08-06T00:32:44.054747Z","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":"2026-08-06T00:32:45.139866Z","title":"International Conference on Learning Representations , year=","venue":null,"work_id":"1d6076d9-7636-4929-9437-ad7ad6ecc63a","year":null},"citing_paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks","version":1},"reference_index":93,"source":"arxiv_source","source_observed_at":"2026-08-06T00:32:44.210091Z"},"links":{"citing_paper":"/paper/2608.01160"},"observation_digest":"sha256:4406605ab8ada9bea1c7da04833a5dce6ccf87cac08c27f15ff5bb377ec9e342","observation_id":"de4515ed-ec65-4686-a768-fa249937fcd4","resolution":{"observed_at":"2026-08-06T00:32:45.258005Z","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"}}],"paper":{"arxiv_id":"2608.01160","last_updated":"2026-08-02T11:30:09Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-10T04:11:15.425658Z","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks"},"reference_resolution":{"displayed":93,"state_counts":{"malformed_identifier":0,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":35,"verified_exact":0,"verified_fuzzy":56},"total_outbound_references":93},"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 10 August 2026, this Paper Citation Record lists 93 of 93 outbound references and 0 inbound Pith citation observations for arXiv:2608.01160."}