{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:XACDQQPNYVZR3MADPTFX5ZMR64","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":"2c4b46d1d26aa0d15adf325a462d40a4ccbe675affdc4edf7719d7f60729f4b7","cross_cats_sorted":["cs.CV","cs.NE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-10-12T15:33:32Z","title_canon_sha256":"ef77b562ac2e41b14636720de539c6869a6a52eb635bc253193413c6b2d43a60"},"schema_version":"1.0","source":{"id":"2110.06081","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.06081","created_at":"2026-07-05T06:49:00Z"},{"alias_kind":"arxiv_version","alias_value":"2110.06081v3","created_at":"2026-07-05T06:49:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.06081","created_at":"2026-07-05T06:49:00Z"},{"alias_kind":"pith_short_12","alias_value":"XACDQQPNYVZR","created_at":"2026-07-05T06:49:00Z"},{"alias_kind":"pith_short_16","alias_value":"XACDQQPNYVZR3MAD","created_at":"2026-07-05T06:49:00Z"},{"alias_kind":"pith_short_8","alias_value":"XACDQQPN","created_at":"2026-07-05T06:49:00Z"}],"graph_snapshots":[{"event_id":"sha256:9cdd27c698b2d4f0617992989609084b5a431c27f4d8509ff442fb3dfc7af341","target":"graph","created_at":"2026-07-05T06:49:00Z","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/2110.06081/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Inspired by the diversity of biological neurons, quadratic artificial neurons can play an important role in deep learning models. The type of quadratic neurons of our interest replaces the inner-product operation in the conventional neuron with a quadratic function. Despite promising results so far achieved by networks of quadratic neurons, there are important issues not well addressed. Theoretically, the superior expressivity of a quadratic network over either a conventional network or a conventional network via quadratic activation is not fully elucidated, which makes the use of quadratic ne","authors_text":"Fei Wang, Feng-lei Fan, Ge Wang, Mengzhou Li, Rongjie Lai","cross_cats":["cs.CV","cs.NE"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-10-12T15:33:32Z","title":"On Expressivity and Trainability of Quadratic Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.06081","kind":"arxiv","version":3},"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":"sha256:2c2e1f3ad20adfbc819c571802b057d2abcb2df92bae5ab217faa8ccf289f432","target":"record","created_at":"2026-07-05T06:49:00Z","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":"2c4b46d1d26aa0d15adf325a462d40a4ccbe675affdc4edf7719d7f60729f4b7","cross_cats_sorted":["cs.CV","cs.NE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-10-12T15:33:32Z","title_canon_sha256":"ef77b562ac2e41b14636720de539c6869a6a52eb635bc253193413c6b2d43a60"},"schema_version":"1.0","source":{"id":"2110.06081","kind":"arxiv","version":3}},"canonical_sha256":"b8043841edc5731db0037ccb7ee591f7388dd3d283c1bc0544d13856d08bfd32","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8043841edc5731db0037ccb7ee591f7388dd3d283c1bc0544d13856d08bfd32","first_computed_at":"2026-07-05T06:49:00.806683Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:49:00.806683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N6QDbgay9K+q8SIaNy3yYOUEfF3lxjVq6mye3waZe5TRTj5t2bO9RKlraYf4CmE0CjMLKpBJMRPx4p1rB37nAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:49:00.807194Z","signed_message":"canonical_sha256_bytes"},"source_id":"2110.06081","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c2e1f3ad20adfbc819c571802b057d2abcb2df92bae5ab217faa8ccf289f432","sha256:9cdd27c698b2d4f0617992989609084b5a431c27f4d8509ff442fb3dfc7af341"],"state_sha256":"e80ab31e4eea8e8fe92fa258c14b8ff9e6e3c1c7fb10ab49cc5381938890bbad"}