{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:OJ3XHDPDFK4SC5EMTX2ZHJXGCW","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":"5d6de07a9503a109a58ae9040f3c968f326fb7a4e6d0b3767522c3e426317fa0","cross_cats_sorted":["cs.SI"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2024-10-12T16:46:48Z","title_canon_sha256":"37d220c5f6f7b77fb4df4dc83ccd41fdc28d84231e98f268829a13e5383ec69d"},"schema_version":"1.0","source":{"id":"2410.09590","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.09590","created_at":"2026-07-05T12:10:53Z"},{"alias_kind":"arxiv_version","alias_value":"2410.09590v2","created_at":"2026-07-05T12:10:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.09590","created_at":"2026-07-05T12:10:53Z"},{"alias_kind":"pith_short_12","alias_value":"OJ3XHDPDFK4S","created_at":"2026-07-05T12:10:53Z"},{"alias_kind":"pith_short_16","alias_value":"OJ3XHDPDFK4SC5EM","created_at":"2026-07-05T12:10:53Z"},{"alias_kind":"pith_short_8","alias_value":"OJ3XHDPD","created_at":"2026-07-05T12:10:53Z"}],"graph_snapshots":[{"event_id":"sha256:b4196d185292493117a9acfb2ee69fb0110d38ca3f9d3777ead088c9bb028329","target":"graph","created_at":"2026-07-05T12:10:53Z","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/2410.09590/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Equipping graph neural networks with a convolution operation defined in terms of a cellular sheaf offers advantages for learning expressive representations of heterophilic graph data. The most flexible approach to constructing the sheaf is to learn it as part of the network as a function of the node features. However, this leaves the network potentially overly sensitive to the learned sheaf. As a counter-measure, we propose a variational approach to learning cellular sheaves within sheaf neural networks, yielding an architecture we refer to as a Bayesian sheaf neural network. As part of this w","authors_text":"David L. Boothe, Ioannis Schizas, Layal Bou Hamdan, Patrick Gillespie, Vasileios Maroulas","cross_cats":["cs.SI"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2024-10-12T16:46:48Z","title":"Bayesian Sheaf Neural Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.09590","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:faaa41b645b3baebb7f26579ebf6820a83204da925a9103122f021291e1cde6e","target":"record","created_at":"2026-07-05T12:10:53Z","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":"5d6de07a9503a109a58ae9040f3c968f326fb7a4e6d0b3767522c3e426317fa0","cross_cats_sorted":["cs.SI"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2024-10-12T16:46:48Z","title_canon_sha256":"37d220c5f6f7b77fb4df4dc83ccd41fdc28d84231e98f268829a13e5383ec69d"},"schema_version":"1.0","source":{"id":"2410.09590","kind":"arxiv","version":2}},"canonical_sha256":"7277738de32ab921748c9df593a6e615bf7ddeeea652b11ffcab07181cb73236","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7277738de32ab921748c9df593a6e615bf7ddeeea652b11ffcab07181cb73236","first_computed_at":"2026-07-05T12:10:53.579526Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:10:53.579526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ETonPCljK6R1mkkAaQdLAUf5RLuNu+XLbdrRra2ja970qN/1eaBHIlrH9xDPwTflwt1W3/ytfIYSUdp3DOwoAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T12:10:53.580055Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.09590","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:faaa41b645b3baebb7f26579ebf6820a83204da925a9103122f021291e1cde6e","sha256:b4196d185292493117a9acfb2ee69fb0110d38ca3f9d3777ead088c9bb028329"],"state_sha256":"187d13aac18234dc8a8571a4a984451502fcf8f33cd3f5ec1ad05a7412d5aaee"}