{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KX7CSWB57P7EVC4QE5S4UPHIN7","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":"8e088d7e48ae7cf31315164da75d0d548d359e130760b822292d598153af615e","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-04-25T09:27:46Z","title_canon_sha256":"9547328be21acac57c27081704d38216ff8d5326cfd49f6ab17d6739c1fc364a"},"schema_version":"1.0","source":{"id":"1804.10085","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.10085","created_at":"2026-05-18T00:17:25Z"},{"alias_kind":"arxiv_version","alias_value":"1804.10085v1","created_at":"2026-05-18T00:17:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10085","created_at":"2026-05-18T00:17:25Z"},{"alias_kind":"pith_short_12","alias_value":"KX7CSWB57P7E","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KX7CSWB57P7EVC4Q","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KX7CSWB5","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:e7a612e956b2a1fd8c74000dd7f05556e5c80afb2f96773c5cecc64fc8fa8d7d","target":"graph","created_at":"2026-05-18T00:17:25Z","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":"We discuss technical results on learning function approximations using piecewise-linear basis functions, and analyze their stability and convergence using nonlinear contraction theory.","authors_text":"Jean-Jacques Slotine, Philipp Gassert, Winfried Lohmiller","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-04-25T09:27:46Z","title":"Notes on stable learning with piecewise-linear basis functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10085","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:ac754cb2fec2d83e4d470990b1c20468fd2bd431066dacaedeadfa6047d5194e","target":"record","created_at":"2026-05-18T00:17:25Z","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":"8e088d7e48ae7cf31315164da75d0d548d359e130760b822292d598153af615e","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-04-25T09:27:46Z","title_canon_sha256":"9547328be21acac57c27081704d38216ff8d5326cfd49f6ab17d6739c1fc364a"},"schema_version":"1.0","source":{"id":"1804.10085","kind":"arxiv","version":1}},"canonical_sha256":"55fe29583dfbfe4a8b902765ca3ce86fea8fbd9d3c83fcf52f22cd72858f6373","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55fe29583dfbfe4a8b902765ca3ce86fea8fbd9d3c83fcf52f22cd72858f6373","first_computed_at":"2026-05-18T00:17:25.149286Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:25.149286Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nsf4NeNM9gEHr8kMRFUT17DY2R4+y7a2yyrUsBkesapXULtj1HhTLThO6f0Pz1pzGbr6uO2jVklDQQldCmlWBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:25.149875Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.10085","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac754cb2fec2d83e4d470990b1c20468fd2bd431066dacaedeadfa6047d5194e","sha256:e7a612e956b2a1fd8c74000dd7f05556e5c80afb2f96773c5cecc64fc8fa8d7d"],"state_sha256":"1df0559704beeffdd41858cbcb00af7d682adf5520f5102e3311df812b9d3b71"}