{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:MDKUWWXZXDBV2XC7YBY5MZF73Z","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":"5d8b1fdd9d824dbebf1440544fd408c656ab55c63e6448989be108fe3f2f382e","cross_cats_sorted":["cs.NE"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2023-12-22T16:33:50Z","title_canon_sha256":"c236b86114bc2eb2df5161601eb2e8be15c110c66af6d2e6ee5f4afc3cf9a11b"},"schema_version":"1.0","source":{"id":"2312.15001","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.15001","created_at":"2026-07-05T07:59:59Z"},{"alias_kind":"arxiv_version","alias_value":"2312.15001v2","created_at":"2026-07-05T07:59:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.15001","created_at":"2026-07-05T07:59:59Z"},{"alias_kind":"pith_short_12","alias_value":"MDKUWWXZXDBV","created_at":"2026-07-05T07:59:59Z"},{"alias_kind":"pith_short_16","alias_value":"MDKUWWXZXDBV2XC7","created_at":"2026-07-05T07:59:59Z"},{"alias_kind":"pith_short_8","alias_value":"MDKUWWXZ","created_at":"2026-07-05T07:59:59Z"}],"graph_snapshots":[{"event_id":"sha256:80b4573be00985e6eac093551f669220b6b98605d27cf6d783665fa5abf94163","target":"graph","created_at":"2026-07-05T07:59:59Z","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/2312.15001/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Many complex tasks can be decomposed into simpler, independent parts. Discovering such underlying compositional structure has the potential to enable compositional generalization. Despite progress, our most powerful systems struggle to compose flexibly. It therefore seems natural to make models more modular to help capture the compositional nature of many tasks. However, it is unclear under which circumstances modular systems can discover hidden compositional structure. To shed light on this question, we study a teacher-student setting with a modular teacher where we have full control over the","authors_text":"Alexandra Proca, Angelika Steger, Jo\\~ao Sacramento, Johannes von Oswald, Maciej Wo{\\l}czyk, Razvan Pascanu, Seijin Kobayashi, Simon Schug, Yassir Akram","cross_cats":["cs.NE"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2023-12-22T16:33:50Z","title":"Discovering modular solutions that generalize compositionally"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.15001","kind":"arxiv","version":2},"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:e70521f5eb33a0556b2f9ef9086e41f98dbe15ed6b69b681f0bbfdb07b6c227b","target":"record","created_at":"2026-07-05T07:59:59Z","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":"5d8b1fdd9d824dbebf1440544fd408c656ab55c63e6448989be108fe3f2f382e","cross_cats_sorted":["cs.NE"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2023-12-22T16:33:50Z","title_canon_sha256":"c236b86114bc2eb2df5161601eb2e8be15c110c66af6d2e6ee5f4afc3cf9a11b"},"schema_version":"1.0","source":{"id":"2312.15001","kind":"arxiv","version":2}},"canonical_sha256":"60d54b5af9b8c35d5c5fc071d664bfde5d9a21e353f63607deddd27f6e2dd9f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60d54b5af9b8c35d5c5fc071d664bfde5d9a21e353f63607deddd27f6e2dd9f8","first_computed_at":"2026-07-05T07:59:59.406308Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:59:59.406308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aeLYK9pMZASWh/HVHkCjSd5dDy48X6cPebcWWoHGEInfusTVlC8Z18DksYTitnJHQYr34q25Hdk+PfJd5h2nCA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:59:59.406742Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.15001","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e70521f5eb33a0556b2f9ef9086e41f98dbe15ed6b69b681f0bbfdb07b6c227b","sha256:80b4573be00985e6eac093551f669220b6b98605d27cf6d783665fa5abf94163"],"state_sha256":"49d10bb742f3861294a29cbbca3a822f74e584eeee8c7a8b7bcff32c21345246"}