{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZH772F2AHUBG4EBT7G73BEWDBG","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":"50c1879c44e5405e71c59645fbab928b612ef4ec5662ed907782c44e2d150fd9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-01-07T06:14:55Z","title_canon_sha256":"13221c0ea8c081510d9674f6bdc39dd272a4e8368686af9fe30f6ed9b0f8af26"},"schema_version":"1.0","source":{"id":"1801.02144","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.02144","created_at":"2026-05-18T00:26:34Z"},{"alias_kind":"arxiv_version","alias_value":"1801.02144v1","created_at":"2026-05-18T00:26:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.02144","created_at":"2026-05-18T00:26:34Z"},{"alias_kind":"pith_short_12","alias_value":"ZH772F2AHUBG","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZH772F2AHUBG4EBT","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZH772F2A","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:eee94602d7a31b723b8ef1306fd2641ce940943d3dc11aef26e079f1aadb4663","target":"graph","created_at":"2026-05-18T00:26:34Z","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"},"paper":{"abstract_excerpt":"Most existing neural networks for learning graphs address permutation invariance by conceiving of the network as a message passing scheme, where each node sums the feature vectors coming from its neighbors. We argue that this imposes a limitation on their representation power, and instead propose a new general architecture for representing objects consisting of a hierarchy of parts, which we call Covariant Compositional Networks (CCNs). Here, covariance means that the activation of each neuron must transform in a specific way under permutations, similarly to steerability in CNNs. We achieve co","authors_text":"Brandon Anderson, Horace Pan, Hy Truong Son, Risi Kondor, Shubhendu Trivedi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-01-07T06:14:55Z","title":"Covariant Compositional Networks For Learning Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.02144","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:cb39e41b9f5addd2ceb46be98ec8de573f2eec42eaac928767d3e6e1365c62ee","target":"record","created_at":"2026-05-18T00:26:34Z","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":"50c1879c44e5405e71c59645fbab928b612ef4ec5662ed907782c44e2d150fd9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-01-07T06:14:55Z","title_canon_sha256":"13221c0ea8c081510d9674f6bdc39dd272a4e8368686af9fe30f6ed9b0f8af26"},"schema_version":"1.0","source":{"id":"1801.02144","kind":"arxiv","version":1}},"canonical_sha256":"c9fffd17403d026e1033f9bfb092c3099f093a8d23807a542c40a0e1719250ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9fffd17403d026e1033f9bfb092c3099f093a8d23807a542c40a0e1719250ea","first_computed_at":"2026-05-18T00:26:34.722758Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:34.722758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XLg7ei6AEVFFojaBXpaTHccqs8KSKxrIiJOpIxZCK/C6n+v9WQ7cLOUFeFA3npkvWZFgy3knzAoW4Fcunfd1Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:34.723472Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.02144","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb39e41b9f5addd2ceb46be98ec8de573f2eec42eaac928767d3e6e1365c62ee","sha256:eee94602d7a31b723b8ef1306fd2641ce940943d3dc11aef26e079f1aadb4663"],"state_sha256":"563c794abd35e05d3bf20d6cac67d03edbf3753c4926c44e49515b75723eb058"}