{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:NMCUJRF2YZSOLVFZBJ5BVMT22A","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":"47e8ff210d6065e247f517b3a6775f270b2925fe90857eb7208a5787ac145b45","cross_cats_sorted":["cs.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-02T11:30:09Z","title_canon_sha256":"09ee551af9320c73a7d2593dbd4f2d72c2a924945590414491a738b511652c00"},"schema_version":"1.0","source":{"id":"2608.01160","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.01160","created_at":"2026-08-04T01:57:09Z"},{"alias_kind":"arxiv_version","alias_value":"2608.01160v1","created_at":"2026-08-04T01:57:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.01160","created_at":"2026-08-04T01:57:09Z"},{"alias_kind":"pith_short_12","alias_value":"NMCUJRF2YZSO","created_at":"2026-08-04T01:57:09Z"},{"alias_kind":"pith_short_16","alias_value":"NMCUJRF2YZSOLVFZ","created_at":"2026-08-04T01:57:09Z"},{"alias_kind":"pith_short_8","alias_value":"NMCUJRF2","created_at":"2026-08-04T01:57:09Z"}],"graph_snapshots":[{"event_id":"sha256:c91ff33a09b1025a6fb51ff743e534e58c2140910706128ac7a124aa4ee944f4","target":"graph","created_at":"2026-08-04T01:57:09Z","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/2608.01160/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Topological neural networks (TNNs) enable leveraging high-order structures on graphs (e.g., cycles and cliques) to boost the expressive power of message-passing neural networks. In turn, however, these structures are typically identified a priori through an unsupervised graph lifting operation. Notwithstanding, this choice is crucial and may have a drastic impact on a TNN's performance on downstream tasks. To circumvent this issue, we propose $\\partial$lift (DiffLift), a general framework for learning graph liftings to hypergraphs and cellular- and simplicial complexes in an end-to-end fashion","authors_text":"Alexander Nikitin, Amauri H. Souza, Diego Mesquita, Gabriel Duarte, Jorge Luiz Franco, Moacir Ponti","cross_cats":["cs.SI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-02T11:30:09Z","title":"Differentiable Lifting for Topological Neural Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.01160","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:e5679d4f37d4aef07ea1ab1972f0551b37cc0ae6d57c059f10f37a910e5462b0","target":"record","created_at":"2026-08-04T01:57:09Z","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":"47e8ff210d6065e247f517b3a6775f270b2925fe90857eb7208a5787ac145b45","cross_cats_sorted":["cs.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-02T11:30:09Z","title_canon_sha256":"09ee551af9320c73a7d2593dbd4f2d72c2a924945590414491a738b511652c00"},"schema_version":"1.0","source":{"id":"2608.01160","kind":"arxiv","version":1}},"canonical_sha256":"6b0544c4bac664e5d4b90a7a1ab27ad0215e584ff638eb1a8ea0ebb9a6d849cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b0544c4bac664e5d4b90a7a1ab27ad0215e584ff638eb1a8ea0ebb9a6d849cf","first_computed_at":"2026-08-04T01:57:09.793929Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-04T01:57:09.793929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ADb4s5zyejaApDbiIsmNVJY5WEDjXmiFTPPx2E2nKHeV1zfD6jnORR0SsrrmkpUbevx+745n2uadWS/DBQlsDQ==","signature_status":"signed_v1","signed_at":"2026-08-04T01:57:09.795497Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.01160","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5679d4f37d4aef07ea1ab1972f0551b37cc0ae6d57c059f10f37a910e5462b0","sha256:c91ff33a09b1025a6fb51ff743e534e58c2140910706128ac7a124aa4ee944f4"],"state_sha256":"1acfb94151b301ab12b2a99120d8b9abd5b80a4a730b873380cb76a1e3694e2b"}