{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:S3BB66SLPWKDB4M66W2WUB3IWO","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":"062d4614bc56f65462add618a5e0291ef9928488f4fd699c9d6671c8895673bd","cross_cats_sorted":["math-ph","math.MP","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-26T20:12:08Z","title_canon_sha256":"fbdab060fd4b64bb9ce2f6b4e4977fc61e29915578ef875abe8286c098e07a5f"},"schema_version":"1.0","source":{"id":"1806.10197","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.10197","created_at":"2026-05-18T00:12:13Z"},{"alias_kind":"arxiv_version","alias_value":"1806.10197v1","created_at":"2026-05-18T00:12:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.10197","created_at":"2026-05-18T00:12:13Z"},{"alias_kind":"pith_short_12","alias_value":"S3BB66SLPWKD","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"S3BB66SLPWKDB4M6","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"S3BB66SL","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:3a062f4822ddf9862f2f36418dc6d6950902972d612a869417c6f42d9d53f358","target":"graph","created_at":"2026-05-18T00:12:13Z","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":"This paper presents a general description of a parameter estimation inverse problem for systems governed by nonlinear differential equations. The inverse problem is presented using optimal control tools with state constraints, where the minimization process is based on a first-order optimization technique such as adaptive monotony-backtracking steepest descent technique and nonlinear conjugate gradient methods satisfying strong Wolfe conditions. Global convergence theory of both methods is rigorously established where new linear convergence rates have been reported. Indeed, for the nonlinear n","authors_text":"Issam Al Qattan, Mohamed Kamel Riahi","cross_cats":["math-ph","math.MP","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-26T20:12:08Z","title":"Linearly convergent nonlinear conjugate gradient methods for a parameter identification problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.10197","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":"sha256:4e801b76e846ad13f84cc36e89ea81834c47c7eb5c95e05d1478567b84d77393","target":"record","created_at":"2026-05-18T00:12:13Z","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":"062d4614bc56f65462add618a5e0291ef9928488f4fd699c9d6671c8895673bd","cross_cats_sorted":["math-ph","math.MP","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-26T20:12:08Z","title_canon_sha256":"fbdab060fd4b64bb9ce2f6b4e4977fc61e29915578ef875abe8286c098e07a5f"},"schema_version":"1.0","source":{"id":"1806.10197","kind":"arxiv","version":1}},"canonical_sha256":"96c21f7a4b7d9430f19ef5b56a0768b3b64abb2df10de64d1fcc01faca4bb942","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"96c21f7a4b7d9430f19ef5b56a0768b3b64abb2df10de64d1fcc01faca4bb942","first_computed_at":"2026-05-18T00:12:13.184225Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:13.184225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O5m7CA+6UQqXRmrQ3Xsfhylave7HRg6vpm2OiOOlstAoajPf776q407c86HhSaPs5u5K6jBmXW8m46XMD4XrDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:13.185027Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.10197","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e801b76e846ad13f84cc36e89ea81834c47c7eb5c95e05d1478567b84d77393","sha256:3a062f4822ddf9862f2f36418dc6d6950902972d612a869417c6f42d9d53f358"],"state_sha256":"90774a4a9aeb1ba7324d61a0919b4d8b7bf8d2b98beed58355f3debe3d721238"}