{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:HIOG4OPE7V4KKC4R35ANVJ5CN4","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"20e9a11ed98b15616a11e33b11c693b04fd63871796d01d7c4290df6016dd5cc","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-02-22T17:42:15Z","title_canon_sha256":"11b221f87d1fc5404e708b56f23ee005bd0f3e87b547d4449e3d1f34d3ba3cbd"},"schema_version":"1.0","source":{"id":"2402.14730","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.14730","created_at":"2026-07-05T08:40:59Z"},{"alias_kind":"arxiv_version","alias_value":"2402.14730v3","created_at":"2026-07-05T08:40:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.14730","created_at":"2026-07-05T08:40:59Z"},{"alias_kind":"pith_short_12","alias_value":"HIOG4OPE7V4K","created_at":"2026-07-05T08:40:59Z"},{"alias_kind":"pith_short_16","alias_value":"HIOG4OPE7V4KKC4R","created_at":"2026-07-05T08:40:59Z"},{"alias_kind":"pith_short_8","alias_value":"HIOG4OPE","created_at":"2026-07-05T08:40:59Z"}],"graph_snapshots":[{"event_id":"sha256:994cb1770764a80b9afcd780b26a30c9cb4b252c7df09a4e15563ad3fcfb4766","target":"graph","created_at":"2026-07-05T08:40:59Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2402.14730/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present Clifford-Steerable Convolutional Neural Networks (CS-CNNs), a novel class of $\\mathrm{E}(p, q)$-equivariant CNNs. CS-CNNs process multivector fields on pseudo-Euclidean spaces $\\mathbb{R}^{p,q}$. They cover, for instance, $\\mathrm{E}(3)$-equivariance on $\\mathbb{R}^3$ and Poincar\\'e-equivariance on Minkowski spacetime $\\mathbb{R}^{1,3}$. Our approach is based on an implicit parametrization of $\\mathrm{O}(p,q)$-steerable kernels via Clifford group equivariant neural networks. We significantly and consistently outperform baseline methods on fluid dynamics as well as relativistic elect","authors_text":"Ana Lucic, David Ruhe, Johannes Brandstetter, Maksim Zhdanov, Maurice Weiler, Patrick Forr\\'e","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-02-22T17:42:15Z","title":"Clifford-Steerable Convolutional Neural Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.14730","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ec30734c780e760435a3f5773a7b4c55e672e723998a90a7790c92d21bc5e611","target":"record","created_at":"2026-07-05T08:40:59Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"20e9a11ed98b15616a11e33b11c693b04fd63871796d01d7c4290df6016dd5cc","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-02-22T17:42:15Z","title_canon_sha256":"11b221f87d1fc5404e708b56f23ee005bd0f3e87b547d4449e3d1f34d3ba3cbd"},"schema_version":"1.0","source":{"id":"2402.14730","kind":"arxiv","version":3}},"canonical_sha256":"3a1c6e39e4fd78a50b91df40daa7a26f0f464bede0051d860e1c39fd404bca66","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a1c6e39e4fd78a50b91df40daa7a26f0f464bede0051d860e1c39fd404bca66","first_computed_at":"2026-07-05T08:40:59.793501Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:40:59.793501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0+L+QYwde5OHql+TsLazp4V/ZASa05DdBJr/BjM32h8oyqV74kvOXJHcrIWPvB6sEKkvkyckykVzELJ40dKpCA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:40:59.793937Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.14730","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec30734c780e760435a3f5773a7b4c55e672e723998a90a7790c92d21bc5e611","sha256:994cb1770764a80b9afcd780b26a30c9cb4b252c7df09a4e15563ad3fcfb4766"],"state_sha256":"324535997af0900b634f9ff97d79efb5e2793bdb9f1210b599fb2ad956bb72d8"}