{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:SDGT6U3HYZ3NCGS76CVYAOXRG4","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":"abf2e3e5e5ba9c9a9a2ba8b61f465d2fa2eba31516ba70710ae9c8580ba0200e","cross_cats_sorted":[],"license":"","primary_cat":"math.OC","submitted_at":"2006-01-26T20:43:33Z","title_canon_sha256":"21c49cc678aa33d32d7258145f964d9770af0d389eded4cc7084107f5203f3fe"},"schema_version":"1.0","source":{"id":"math/0601650","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0601650","created_at":"2026-05-18T00:57:44Z"},{"alias_kind":"arxiv_version","alias_value":"math/0601650v1","created_at":"2026-05-18T00:57:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0601650","created_at":"2026-05-18T00:57:44Z"},{"alias_kind":"pith_short_12","alias_value":"SDGT6U3HYZ3N","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"SDGT6U3HYZ3NCGS7","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"SDGT6U3H","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:dffcba9a1d73c4d0ed40c29e327ac37011317dcdb4053cddc36d4e17348711c8","target":"graph","created_at":"2026-05-18T00:57:44Z","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 study the low-bias stabilization of active magnetic bearings (AMBs) subject to voltage saturation based on a recently proposed model for the AMB switching mode of operation. Using a forwarding-like approach, we construct a stabilizing controller of arbitrarily small amplitude and a control-Lyapunov function for the AMB dynamics. We illustrate our construction using a numerical example.","authors_text":"Feng Gao, Frederic Mazenc, Marcio S. de Queiroz, Michael Malisoff","cross_cats":[],"headline":"","license":"","primary_cat":"math.OC","submitted_at":"2006-01-26T20:43:33Z","title":"Further Results on Active Magnetic Bearing Control with Input Saturation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0601650","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":"sha256:3e9e60127e87f6ed68340d69187b60c8ae07d88a04af2ee66abb0a5d0cc3e6a0","target":"record","created_at":"2026-05-18T00:57:44Z","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":"abf2e3e5e5ba9c9a9a2ba8b61f465d2fa2eba31516ba70710ae9c8580ba0200e","cross_cats_sorted":[],"license":"","primary_cat":"math.OC","submitted_at":"2006-01-26T20:43:33Z","title_canon_sha256":"21c49cc678aa33d32d7258145f964d9770af0d389eded4cc7084107f5203f3fe"},"schema_version":"1.0","source":{"id":"math/0601650","kind":"arxiv","version":1}},"canonical_sha256":"90cd3f5367c676d11a5ff0ab803af1373607c2d6a5270df2788e06fb6d93e726","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90cd3f5367c676d11a5ff0ab803af1373607c2d6a5270df2788e06fb6d93e726","first_computed_at":"2026-05-18T00:57:44.891183Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:44.891183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WK8ht0s+r4uizsad62eYZvqCUEoxyC5m5x2MnfASQQGGe6vMBf33SY9emO6ss10O/g3QjI6DbZh5KhE2Uy4YDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:44.891655Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0601650","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e9e60127e87f6ed68340d69187b60c8ae07d88a04af2ee66abb0a5d0cc3e6a0","sha256:dffcba9a1d73c4d0ed40c29e327ac37011317dcdb4053cddc36d4e17348711c8"],"state_sha256":"efc574fefd810e546a9de5ec8611ab82c452cc42a1be938634a393af1c528c5e"}