{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:XJBVVW33FUQCJ7KIKUBOZZ2HDY","short_pith_number":"pith:XJBVVW33","schema_version":"1.0","canonical_sha256":"ba435adb7b2d2024fd485502ece7471e20173d7b108eb6c06b4431d5c2f35d23","source":{"kind":"arxiv","id":"2504.19554","version":2},"attestation_state":"computed","paper":{"title":"Approximation of an optimal control problem on a network with a perturbed problem in the whole space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.AP","authors_text":"M\\'eriadec Chuberre (IRMAR), Mohamed Camar-Eddine (IRMAR), Mounir Haddou (IRMAR), Olivier Ley (IRMAR)","submitted_at":"2025-04-28T08:00:07Z","abstract_excerpt":"A classical optimal control problem posed in the whole space R^2 is perturbed by a singular term of magnitude $\\epsilon$^{-1} aimed at driving the trajectories to a prescribed network $\\Gamma$. We are interested in the link between the limit problem, as $\\epsilon$ $\\rightarrow$ 0, and some optimal control problems on networks studied in the literature. We prove that the sequence of trajectories admits a subsequential limit evolving on $\\Gamma$. Moreover, in the case of the Eikonal equation, we show that the sequence of value functions associated with the perturbed optimal control problems conv"},"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":"2504.19554","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-04-28T08:00:07Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"f5899912466d3de4257de1828ff535d6b9c74aaf4d0dc1a56492a3a0248835cf","abstract_canon_sha256":"6bf130ced71f973d00723f7b87869fc88d00207c38ffc999d713f1486ef301ca"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-25T02:02:07.047221Z","signature_b64":"EhtdzBhpcQx3RgMZXUA9M6m1PmNQe/IizfCEGroy1ug2+GYbVLWVAblZenIgYzV+pQSUga9hOHheEB9Juv4kAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba435adb7b2d2024fd485502ece7471e20173d7b108eb6c06b4431d5c2f35d23","last_reissued_at":"2026-05-25T02:02:07.046369Z","signature_status":"signed_v1","first_computed_at":"2026-05-25T02:02:07.046369Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Approximation of an optimal control problem on a network with a perturbed problem in the whole space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.AP","authors_text":"M\\'eriadec Chuberre (IRMAR), Mohamed Camar-Eddine (IRMAR), Mounir Haddou (IRMAR), Olivier Ley (IRMAR)","submitted_at":"2025-04-28T08:00:07Z","abstract_excerpt":"A classical optimal control problem posed in the whole space R^2 is perturbed by a singular term of magnitude $\\epsilon$^{-1} aimed at driving the trajectories to a prescribed network $\\Gamma$. We are interested in the link between the limit problem, as $\\epsilon$ $\\rightarrow$ 0, and some optimal control problems on networks studied in the literature. We prove that the sequence of trajectories admits a subsequential limit evolving on $\\Gamma$. Moreover, in the case of the Eikonal equation, we show that the sequence of value functions associated with the perturbed optimal control problems conv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.19554","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2504.19554/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2504.19554","created_at":"2026-05-25T02:02:07.046520+00:00"},{"alias_kind":"arxiv_version","alias_value":"2504.19554v2","created_at":"2026-05-25T02:02:07.046520+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.19554","created_at":"2026-05-25T02:02:07.046520+00:00"},{"alias_kind":"pith_short_12","alias_value":"XJBVVW33FUQC","created_at":"2026-05-25T02:02:07.046520+00:00"},{"alias_kind":"pith_short_16","alias_value":"XJBVVW33FUQCJ7KI","created_at":"2026-05-25T02:02:07.046520+00:00"},{"alias_kind":"pith_short_8","alias_value":"XJBVVW33","created_at":"2026-05-25T02:02:07.046520+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/XJBVVW33FUQCJ7KIKUBOZZ2HDY","json":"https://pith.science/pith/XJBVVW33FUQCJ7KIKUBOZZ2HDY.json","graph_json":"https://pith.science/api/pith-number/XJBVVW33FUQCJ7KIKUBOZZ2HDY/graph.json","events_json":"https://pith.science/api/pith-number/XJBVVW33FUQCJ7KIKUBOZZ2HDY/events.json","paper":"https://pith.science/paper/XJBVVW33"},"agent_actions":{"view_html":"https://pith.science/pith/XJBVVW33FUQCJ7KIKUBOZZ2HDY","download_json":"https://pith.science/pith/XJBVVW33FUQCJ7KIKUBOZZ2HDY.json","view_paper":"https://pith.science/paper/XJBVVW33","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2504.19554&json=true","fetch_graph":"https://pith.science/api/pith-number/XJBVVW33FUQCJ7KIKUBOZZ2HDY/graph.json","fetch_events":"https://pith.science/api/pith-number/XJBVVW33FUQCJ7KIKUBOZZ2HDY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XJBVVW33FUQCJ7KIKUBOZZ2HDY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XJBVVW33FUQCJ7KIKUBOZZ2HDY/action/storage_attestation","attest_author":"https://pith.science/pith/XJBVVW33FUQCJ7KIKUBOZZ2HDY/action/author_attestation","sign_citation":"https://pith.science/pith/XJBVVW33FUQCJ7KIKUBOZZ2HDY/action/citation_signature","submit_replication":"https://pith.science/pith/XJBVVW33FUQCJ7KIKUBOZZ2HDY/action/replication_record"}},"created_at":"2026-05-25T02:02:07.046520+00:00","updated_at":"2026-05-25T02:02:07.046520+00:00"}