{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2XSS45WPFDLKS7EGJPFEBNIUL6","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":"8c893aeaf8791ca71fddbcbce5bb0ef8de2151787d638ae77be624ff17993241","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-29T19:58:00Z","title_canon_sha256":"7913e5c724582a7b5a800d44b08c568da323a097aeb7b81ae0c9412ac8436d25"},"schema_version":"1.0","source":{"id":"2607.27431","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.27431","created_at":"2026-07-31T00:12:01Z"},{"alias_kind":"arxiv_version","alias_value":"2607.27431v1","created_at":"2026-07-31T00:12:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.27431","created_at":"2026-07-31T00:12:01Z"},{"alias_kind":"pith_short_12","alias_value":"2XSS45WPFDLK","created_at":"2026-07-31T00:12:01Z"},{"alias_kind":"pith_short_16","alias_value":"2XSS45WPFDLKS7EG","created_at":"2026-07-31T00:12:01Z"},{"alias_kind":"pith_short_8","alias_value":"2XSS45WP","created_at":"2026-07-31T00:12:01Z"}],"graph_snapshots":[{"event_id":"sha256:cefb2f9b20095833d7861ff59c291c20c4785e137a13cfa51e9b7c968d31da0d","target":"graph","created_at":"2026-07-31T00:12:01Z","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/2607.27431/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Generative modeling of protein backbones promises the de novo design of proteins with prescribed structural and functional properties. Existing diffusion and flow-matching models produce high-quality backbones on SE(3)^N, but inference requires numerically integrating an ODE over hundreds of network evaluations, each involving a Lie group exponential map - a bottleneck for high-throughput design campaigns. We introduce SE(3)-MeanFlow, a few-step generative framework that extends MeanFlow from Euclidean space to the Lie group geometry of protein frames. Working natively in the Lie algebra so(3)","authors_text":"Binghang Lu, Elaheh Akbari, Guang Lin, Linxuan Wang, Ping He, Ruqi Zhang, Shuchan Wang, Soheil Kolouri, Yikai Liu, Yikun Bai","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-29T19:58:00Z","title":"SE(3)-MeanFlow: Few-Step Protein Backbone Generation on Lie Groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.27431","kind":"arxiv","version":1},"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:be8b679d708b04cb6229ba8ab5c9c9b90e7049dbced4c87091881128875ad7b9","target":"record","created_at":"2026-07-31T00:12:01Z","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":"8c893aeaf8791ca71fddbcbce5bb0ef8de2151787d638ae77be624ff17993241","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-29T19:58:00Z","title_canon_sha256":"7913e5c724582a7b5a800d44b08c568da323a097aeb7b81ae0c9412ac8436d25"},"schema_version":"1.0","source":{"id":"2607.27431","kind":"arxiv","version":1}},"canonical_sha256":"d5e52e76cf28d6a97c864bca40b5145f83e01fc635104b1004cb360116b698cd","receipt":{"builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5e52e76cf28d6a97c864bca40b5145f83e01fc635104b1004cb360116b698cd","first_computed_at":"2026-07-31T00:12:01.445434Z","kind":"pith_receipt","last_reissued_at":"2026-07-31T00:12:01.445434Z","receipt_version":"0.3","signature_status":"unsigned_v0"},"source_id":"2607.27431","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be8b679d708b04cb6229ba8ab5c9c9b90e7049dbced4c87091881128875ad7b9","sha256:cefb2f9b20095833d7861ff59c291c20c4785e137a13cfa51e9b7c968d31da0d"],"state_sha256":"5dc3bbf80641d227cf4790c444373e94c082357ab3d6dd141239bf9a625ce9d7"}