{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:DIEODWUCWERCUWBBQAAACXZU2Q","short_pith_number":"pith:DIEODWUC","schema_version":"1.0","canonical_sha256":"1a08e1da82b1222a58218000015f34d422de838f741ed08e83acad1e0c3620a1","source":{"kind":"arxiv","id":"1101.1740","version":2},"attestation_state":"computed","paper":{"title":"Optimal stopping for the predictive maintenance of a structure subject to corrosion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.OC"],"primary_cat":"math.PR","authors_text":"Beno\\^ite de Saporta, Charles Elegbede, Fran\\c{c}ois Dufour, Huilong Zhang","submitted_at":"2011-01-10T09:18:50Z","abstract_excerpt":"We present a numerical method to compute the optimal maintenance time for a complex dynamic system applied to an example of maintenance of a metallic structure subject to corrosion. An arbitrarily early intervention may be uselessly costly, but a late one may lead to a partial/complete failure of the system, which has to be avoided. One must therefore find a balance between these too simple maintenance policies. To achieve this aim, we model the system by a stochastic hybrid process. The maintenance problem thus corresponds to an optimal stopping problem. We propose a numerical method to solve"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1101.1740","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-10T09:18:50Z","cross_cats_sorted":["cs.SY","math.OC"],"title_canon_sha256":"71b5550f4705b913ae3f1709d6ef6cead0310cfdfa184046ca49851a300b17d3","abstract_canon_sha256":"c44ee0382b1944e45c3e7d1919b34c97f34063d26c07f5c595a80ecedbc1fecd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:22:59.536456Z","signature_b64":"n6NVk0woXihkvfczRgqU0mfjmjqCupN6XUycFwaQlfmaipqPBD/VLnpRhPx4188/JdrpXexGeYMWKt4B5ZIiDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a08e1da82b1222a58218000015f34d422de838f741ed08e83acad1e0c3620a1","last_reissued_at":"2026-05-18T02:22:59.535809Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:22:59.535809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimal stopping for the predictive maintenance of a structure subject to corrosion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.OC"],"primary_cat":"math.PR","authors_text":"Beno\\^ite de Saporta, Charles Elegbede, Fran\\c{c}ois Dufour, Huilong Zhang","submitted_at":"2011-01-10T09:18:50Z","abstract_excerpt":"We present a numerical method to compute the optimal maintenance time for a complex dynamic system applied to an example of maintenance of a metallic structure subject to corrosion. An arbitrarily early intervention may be uselessly costly, but a late one may lead to a partial/complete failure of the system, which has to be avoided. One must therefore find a balance between these too simple maintenance policies. To achieve this aim, we model the system by a stochastic hybrid process. The maintenance problem thus corresponds to an optimal stopping problem. We propose a numerical method to solve"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1740","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1101.1740","created_at":"2026-05-18T02:22:59.535889+00:00"},{"alias_kind":"arxiv_version","alias_value":"1101.1740v2","created_at":"2026-05-18T02:22:59.535889+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1740","created_at":"2026-05-18T02:22:59.535889+00:00"},{"alias_kind":"pith_short_12","alias_value":"DIEODWUCWERC","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"DIEODWUCWERCUWBB","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"DIEODWUC","created_at":"2026-05-18T12:26:26.731475+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DIEODWUCWERCUWBBQAAACXZU2Q","json":"https://pith.science/pith/DIEODWUCWERCUWBBQAAACXZU2Q.json","graph_json":"https://pith.science/api/pith-number/DIEODWUCWERCUWBBQAAACXZU2Q/graph.json","events_json":"https://pith.science/api/pith-number/DIEODWUCWERCUWBBQAAACXZU2Q/events.json","paper":"https://pith.science/paper/DIEODWUC"},"agent_actions":{"view_html":"https://pith.science/pith/DIEODWUCWERCUWBBQAAACXZU2Q","download_json":"https://pith.science/pith/DIEODWUCWERCUWBBQAAACXZU2Q.json","view_paper":"https://pith.science/paper/DIEODWUC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1101.1740&json=true","fetch_graph":"https://pith.science/api/pith-number/DIEODWUCWERCUWBBQAAACXZU2Q/graph.json","fetch_events":"https://pith.science/api/pith-number/DIEODWUCWERCUWBBQAAACXZU2Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DIEODWUCWERCUWBBQAAACXZU2Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DIEODWUCWERCUWBBQAAACXZU2Q/action/storage_attestation","attest_author":"https://pith.science/pith/DIEODWUCWERCUWBBQAAACXZU2Q/action/author_attestation","sign_citation":"https://pith.science/pith/DIEODWUCWERCUWBBQAAACXZU2Q/action/citation_signature","submit_replication":"https://pith.science/pith/DIEODWUCWERCUWBBQAAACXZU2Q/action/replication_record"}},"created_at":"2026-05-18T02:22:59.535889+00:00","updated_at":"2026-05-18T02:22:59.535889+00:00"}