{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:HJIF2VOBWTFMXS6B4FU2BGMYST","short_pith_number":"pith:HJIF2VOB","schema_version":"1.0","canonical_sha256":"3a505d55c1b4cacbcbc1e169a0999894c3375f38346c32ec58029b6608263510","source":{"kind":"arxiv","id":"1611.03958","version":1},"attestation_state":"computed","paper":{"title":"Optimal control of a linearized continuum model for re-entrant manufacturing production systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Stevan Dubljevic, Xiaodong Xu","submitted_at":"2016-11-12T06:09:01Z","abstract_excerpt":"A re-entrant manufacturing system producing a large number of items and involving many steps can be approximately modeled by a hyperbolic partial differential equation (PDE) according to mass conservation law with respect to a continuous density of items on a production process. The mathematic model is a typical nonlinear and nonlocal PDE and the cycle time depends nonlinearly on the work in progress. However, the nonlinearity brings mathematic and engineering difficulties in practical application. In this work, we address the optimal control based on the linearized system model and in order t"},"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":"1611.03958","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-11-12T06:09:01Z","cross_cats_sorted":[],"title_canon_sha256":"7249c7c0f81493a74cb54ace6382555a9043ed014d91f014e653dd0b311902d2","abstract_canon_sha256":"d92f9899c979165a321c85b61e19d9048d26c78f8d9f0f81190b223b4d764424"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:17.986191Z","signature_b64":"Rf740GgrqdyyEz1C46NlGC4eqhYFXcqrAiY7XUVupyRMYcTVeX2Fjciz2xM2rpCNpRw3rgq7kVvuNYMAUk9+Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a505d55c1b4cacbcbc1e169a0999894c3375f38346c32ec58029b6608263510","last_reissued_at":"2026-05-18T00:59:17.985515Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:17.985515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimal control of a linearized continuum model for re-entrant manufacturing production systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Stevan Dubljevic, Xiaodong Xu","submitted_at":"2016-11-12T06:09:01Z","abstract_excerpt":"A re-entrant manufacturing system producing a large number of items and involving many steps can be approximately modeled by a hyperbolic partial differential equation (PDE) according to mass conservation law with respect to a continuous density of items on a production process. The mathematic model is a typical nonlinear and nonlocal PDE and the cycle time depends nonlinearly on the work in progress. However, the nonlinearity brings mathematic and engineering difficulties in practical application. In this work, we address the optimal control based on the linearized system model and in order t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03958","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":""},"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":"1611.03958","created_at":"2026-05-18T00:59:17.985616+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.03958v1","created_at":"2026-05-18T00:59:17.985616+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03958","created_at":"2026-05-18T00:59:17.985616+00:00"},{"alias_kind":"pith_short_12","alias_value":"HJIF2VOBWTFM","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"HJIF2VOBWTFMXS6B","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"HJIF2VOB","created_at":"2026-05-18T12:30:19.053100+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/HJIF2VOBWTFMXS6B4FU2BGMYST","json":"https://pith.science/pith/HJIF2VOBWTFMXS6B4FU2BGMYST.json","graph_json":"https://pith.science/api/pith-number/HJIF2VOBWTFMXS6B4FU2BGMYST/graph.json","events_json":"https://pith.science/api/pith-number/HJIF2VOBWTFMXS6B4FU2BGMYST/events.json","paper":"https://pith.science/paper/HJIF2VOB"},"agent_actions":{"view_html":"https://pith.science/pith/HJIF2VOBWTFMXS6B4FU2BGMYST","download_json":"https://pith.science/pith/HJIF2VOBWTFMXS6B4FU2BGMYST.json","view_paper":"https://pith.science/paper/HJIF2VOB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.03958&json=true","fetch_graph":"https://pith.science/api/pith-number/HJIF2VOBWTFMXS6B4FU2BGMYST/graph.json","fetch_events":"https://pith.science/api/pith-number/HJIF2VOBWTFMXS6B4FU2BGMYST/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HJIF2VOBWTFMXS6B4FU2BGMYST/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HJIF2VOBWTFMXS6B4FU2BGMYST/action/storage_attestation","attest_author":"https://pith.science/pith/HJIF2VOBWTFMXS6B4FU2BGMYST/action/author_attestation","sign_citation":"https://pith.science/pith/HJIF2VOBWTFMXS6B4FU2BGMYST/action/citation_signature","submit_replication":"https://pith.science/pith/HJIF2VOBWTFMXS6B4FU2BGMYST/action/replication_record"}},"created_at":"2026-05-18T00:59:17.985616+00:00","updated_at":"2026-05-18T00:59:17.985616+00:00"}