{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:HWTB3W5VOVHJR5MLMN2HTSYM7U","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":"d9348522d5123ebf259b973a1b7b8e17eb3ae4ce399cc92441cc56eec241aab8","cross_cats_sorted":["cs.AI","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-01-15T11:04:47Z","title_canon_sha256":"fc7cc970a0c3ca1355d7deb0234e465ec6bca3e51878d65cd35092ede63a72ad"},"schema_version":"1.0","source":{"id":"2401.07595","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.07595","created_at":"2026-07-05T09:33:28Z"},{"alias_kind":"arxiv_version","alias_value":"2401.07595v3","created_at":"2026-07-05T09:33:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.07595","created_at":"2026-07-05T09:33:28Z"},{"alias_kind":"pith_short_12","alias_value":"HWTB3W5VOVHJ","created_at":"2026-07-05T09:33:28Z"},{"alias_kind":"pith_short_16","alias_value":"HWTB3W5VOVHJR5ML","created_at":"2026-07-05T09:33:28Z"},{"alias_kind":"pith_short_8","alias_value":"HWTB3W5V","created_at":"2026-07-05T09:33:28Z"}],"graph_snapshots":[{"event_id":"sha256:0f277e426018c31b04410c7f019e131f85fa4910de9a8df97f7b6fba22fef5f2","target":"graph","created_at":"2026-07-05T09:33:28Z","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/2401.07595/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work introduces E3x, a software package for building neural networks that are equivariant with respect to the Euclidean group $\\mathrm{E}(3)$, consisting of translations, rotations, and reflections of three-dimensional space. Compared to ordinary neural networks, $\\mathrm{E}(3)$-equivariant models promise benefits whenever input and/or output data are quantities associated with three-dimensional objects. This is because the numeric values of such quantities (e.g. positions) typically depend on the chosen coordinate system. Under transformations of the reference frame, the values change pr","authors_text":"Hartmut Maennel, Oliver T. Unke","cross_cats":["cs.AI","physics.chem-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-01-15T11:04:47Z","title":"E3x: $\\mathrm{E}(3)$-Equivariant Deep Learning Made Easy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.07595","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":"sha256:94b45eed7e763ff6747830326ae6a87a504eb6e7b0150d7d3eef956c7695ea55","target":"record","created_at":"2026-07-05T09:33:28Z","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":"d9348522d5123ebf259b973a1b7b8e17eb3ae4ce399cc92441cc56eec241aab8","cross_cats_sorted":["cs.AI","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-01-15T11:04:47Z","title_canon_sha256":"fc7cc970a0c3ca1355d7deb0234e465ec6bca3e51878d65cd35092ede63a72ad"},"schema_version":"1.0","source":{"id":"2401.07595","kind":"arxiv","version":3}},"canonical_sha256":"3da61ddbb5754e98f58b637479cb0cfd3a9ccb56a29ff31fd29a3c34a9f6026a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3da61ddbb5754e98f58b637479cb0cfd3a9ccb56a29ff31fd29a3c34a9f6026a","first_computed_at":"2026-07-05T09:33:28.066768Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:33:28.066768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"88s7lglYeHy99hjm7ZeiI47k+pJfYQUucOuGGeGUcRpR7QkaWklgTmGI5+ahcDapZZeKF7bO37zrJUeHdGkEBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:33:28.067265Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.07595","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94b45eed7e763ff6747830326ae6a87a504eb6e7b0150d7d3eef956c7695ea55","sha256:0f277e426018c31b04410c7f019e131f85fa4910de9a8df97f7b6fba22fef5f2"],"state_sha256":"229cbf5efe6fc3be9e4440202892d8d358f603077665614e976857558e32d366"}