{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:UJB5TAW7MMB3LH2M3SHUBYI3SB","short_pith_number":"pith:UJB5TAW7","canonical_record":{"source":{"id":"0904.0322","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2009-04-02T06:59:20Z","cross_cats_sorted":["cs.NA","math.CA","math.NA"],"title_canon_sha256":"075253e646af5e7d70ec9ef5843fd2b050a41f4082bd728f0c63ac03e04378f7","abstract_canon_sha256":"b21b20aa53cd4530cbd1b2dd6752fe579229ed4381e82eb417e3ae21a7a1abe3"},"schema_version":"1.0"},"canonical_sha256":"a243d982df6303b59f4cdc8f40e11b905fd6320d0412c1d2ba80bd20650dddb1","source":{"kind":"arxiv","id":"0904.0322","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.0322","created_at":"2026-06-03T23:06:25Z"},{"alias_kind":"arxiv_version","alias_value":"0904.0322v1","created_at":"2026-06-03T23:06:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.0322","created_at":"2026-06-03T23:06:25Z"},{"alias_kind":"pith_short_12","alias_value":"UJB5TAW7MMB3","created_at":"2026-06-03T23:06:25Z"},{"alias_kind":"pith_short_16","alias_value":"UJB5TAW7MMB3LH2M","created_at":"2026-06-03T23:06:25Z"},{"alias_kind":"pith_short_8","alias_value":"UJB5TAW7","created_at":"2026-06-03T23:06:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:UJB5TAW7MMB3LH2M3SHUBYI3SB","target":"record","payload":{"canonical_record":{"source":{"id":"0904.0322","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2009-04-02T06:59:20Z","cross_cats_sorted":["cs.NA","math.CA","math.NA"],"title_canon_sha256":"075253e646af5e7d70ec9ef5843fd2b050a41f4082bd728f0c63ac03e04378f7","abstract_canon_sha256":"b21b20aa53cd4530cbd1b2dd6752fe579229ed4381e82eb417e3ae21a7a1abe3"},"schema_version":"1.0"},"canonical_sha256":"a243d982df6303b59f4cdc8f40e11b905fd6320d0412c1d2ba80bd20650dddb1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T23:06:25.444456Z","signature_b64":"qx9m479qT8LRJOppLxXLJk6aJn629OobitKNUYwjgW3JY4Q2AUxjSI8ADsHwyDTMxFcnwvwZmyXhFiukbXFpCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a243d982df6303b59f4cdc8f40e11b905fd6320d0412c1d2ba80bd20650dddb1","last_reissued_at":"2026-06-03T23:06:25.444034Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T23:06:25.444034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0904.0322","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-03T23:06:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8SJdDNwu+ibs3LqYWqCn7zz+urNe0bJfx4Ux6H2SpMNA7eiTHVZhXw7ilXuqHz9Wa89aOjhmEoa/2Azd7bdADA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:39:23.641386Z"},"content_sha256":"f7abaf05c1605e4ba5460e6f7be1767089f762a9e328d93d92ef903696fb74f2","schema_version":"1.0","event_id":"sha256:f7abaf05c1605e4ba5460e6f7be1767089f762a9e328d93d92ef903696fb74f2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:UJB5TAW7MMB3LH2M3SHUBYI3SB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Model-free control and intelligent PID controllers: towards a possible trivialization of nonlinear control?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.CA","math.NA"],"primary_cat":"math.OC","authors_text":"C\\'edric Join (INRIA Saclay - Ile de France, CRAN), INRIA Saclay - Ile de France), Michel Fliess (LIX","submitted_at":"2009-04-02T06:59:20Z","abstract_excerpt":"We are introducing a model-free control and a control with a restricted model for finite-dimensional complex systems. This control design may be viewed as a contribution to \"intelligent\" PID controllers, the tuning of which becomes quite straightforward, even with highly nonlinear and/or time-varying systems. Our main tool is a newly developed numerical differentiation. Differential algebra provides the theoretical framework. Our approach is validated by several numerical experiments."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.0322","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0904.0322/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-03T23:06:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O/gl2aZ5LN9qF0dqJDULXcp2+HjkJQsCBRUjtFh0KLd0sq7eHHI3z1rMA/bu95eqFgoshdsNniiEaArTCSwuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:39:23.641904Z"},"content_sha256":"8fee024840a24e5e2078a6ea2d19a8f855d70f2bd94c5a03b5ff992afd09fe80","schema_version":"1.0","event_id":"sha256:8fee024840a24e5e2078a6ea2d19a8f855d70f2bd94c5a03b5ff992afd09fe80"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UJB5TAW7MMB3LH2M3SHUBYI3SB/bundle.json","state_url":"https://pith.science/pith/UJB5TAW7MMB3LH2M3SHUBYI3SB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UJB5TAW7MMB3LH2M3SHUBYI3SB/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-23T17:39:23Z","links":{"resolver":"https://pith.science/pith/UJB5TAW7MMB3LH2M3SHUBYI3SB","bundle":"https://pith.science/pith/UJB5TAW7MMB3LH2M3SHUBYI3SB/bundle.json","state":"https://pith.science/pith/UJB5TAW7MMB3LH2M3SHUBYI3SB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UJB5TAW7MMB3LH2M3SHUBYI3SB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:UJB5TAW7MMB3LH2M3SHUBYI3SB","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":"b21b20aa53cd4530cbd1b2dd6752fe579229ed4381e82eb417e3ae21a7a1abe3","cross_cats_sorted":["cs.NA","math.CA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2009-04-02T06:59:20Z","title_canon_sha256":"075253e646af5e7d70ec9ef5843fd2b050a41f4082bd728f0c63ac03e04378f7"},"schema_version":"1.0","source":{"id":"0904.0322","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.0322","created_at":"2026-06-03T23:06:25Z"},{"alias_kind":"arxiv_version","alias_value":"0904.0322v1","created_at":"2026-06-03T23:06:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.0322","created_at":"2026-06-03T23:06:25Z"},{"alias_kind":"pith_short_12","alias_value":"UJB5TAW7MMB3","created_at":"2026-06-03T23:06:25Z"},{"alias_kind":"pith_short_16","alias_value":"UJB5TAW7MMB3LH2M","created_at":"2026-06-03T23:06:25Z"},{"alias_kind":"pith_short_8","alias_value":"UJB5TAW7","created_at":"2026-06-03T23:06:25Z"}],"graph_snapshots":[{"event_id":"sha256:8fee024840a24e5e2078a6ea2d19a8f855d70f2bd94c5a03b5ff992afd09fe80","target":"graph","created_at":"2026-06-03T23:06:25Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0904.0322/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We are introducing a model-free control and a control with a restricted model for finite-dimensional complex systems. This control design may be viewed as a contribution to \"intelligent\" PID controllers, the tuning of which becomes quite straightforward, even with highly nonlinear and/or time-varying systems. Our main tool is a newly developed numerical differentiation. Differential algebra provides the theoretical framework. Our approach is validated by several numerical experiments.","authors_text":"C\\'edric Join (INRIA Saclay - Ile de France, CRAN), INRIA Saclay - Ile de France), Michel Fliess (LIX","cross_cats":["cs.NA","math.CA","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2009-04-02T06:59:20Z","title":"Model-free control and intelligent PID controllers: towards a possible trivialization of nonlinear control?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.0322","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:f7abaf05c1605e4ba5460e6f7be1767089f762a9e328d93d92ef903696fb74f2","target":"record","created_at":"2026-06-03T23:06:25Z","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":"b21b20aa53cd4530cbd1b2dd6752fe579229ed4381e82eb417e3ae21a7a1abe3","cross_cats_sorted":["cs.NA","math.CA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2009-04-02T06:59:20Z","title_canon_sha256":"075253e646af5e7d70ec9ef5843fd2b050a41f4082bd728f0c63ac03e04378f7"},"schema_version":"1.0","source":{"id":"0904.0322","kind":"arxiv","version":1}},"canonical_sha256":"a243d982df6303b59f4cdc8f40e11b905fd6320d0412c1d2ba80bd20650dddb1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a243d982df6303b59f4cdc8f40e11b905fd6320d0412c1d2ba80bd20650dddb1","first_computed_at":"2026-06-03T23:06:25.444034Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T23:06:25.444034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qx9m479qT8LRJOppLxXLJk6aJn629OobitKNUYwjgW3JY4Q2AUxjSI8ADsHwyDTMxFcnwvwZmyXhFiukbXFpCw==","signature_status":"signed_v1","signed_at":"2026-06-03T23:06:25.444456Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.0322","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7abaf05c1605e4ba5460e6f7be1767089f762a9e328d93d92ef903696fb74f2","sha256:8fee024840a24e5e2078a6ea2d19a8f855d70f2bd94c5a03b5ff992afd09fe80"],"state_sha256":"40d3a6a578c19771d7d4d9a5c4fd9956f0e2d80e79b4bc912b248cd48c2e4cac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k/bZmCt24gBy6xv+bmc0pxQpiq5BUc7l6iHRI0f6lWMAkaTR2K4CvUAC6H9m7B4t3bBUbqIHFNE33pDOumQYCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T17:39:23.644789Z","bundle_sha256":"97980ee36a295c0c2cb608be5a48fec6ba779d8c77b18592df52a41197a385ac"}}