{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:LYLMVDZ4CQWZOZF5BU7LZSY6ZE","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":"6a8bc637e59c58b4f4da7227cb93c3f1f60892365e16f640426d2a2484ba367f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-03-06T00:26:22Z","title_canon_sha256":"9f356f6a1f0e7d83d77caadbef0c2b07d3019b89e1e826fe555a6f825ba49eb2"},"schema_version":"1.0","source":{"id":"1903.02126","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.02126","created_at":"2026-05-17T23:51:56Z"},{"alias_kind":"arxiv_version","alias_value":"1903.02126v1","created_at":"2026-05-17T23:51:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.02126","created_at":"2026-05-17T23:51:56Z"},{"alias_kind":"pith_short_12","alias_value":"LYLMVDZ4CQWZ","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"LYLMVDZ4CQWZOZF5","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"LYLMVDZ4","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:cecb8d5b6490ee2e47693dc7a55874b691a3bac387da3c882e4ef13b4e7e5098","target":"graph","created_at":"2026-05-17T23:51:56Z","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":"We analyze controlled mass transportation plans with free end-time that minimize the transport cost induced by the generating function of a Lagrangian within a bounded domain, in addition to costs incurred as export and import tariffs at entry and exit points on the boundary. We exhibit a dual variational principle \\`a la Kantorovich, that takes into consideration the additional tariffs. We then show that the primal optimal transport problem has an equivalent Eulerian formulation whose dual involves the resolution of a Hamilton-Jacobi-Bellman quasi-variational inequality with non-homogeneous b","authors_text":"Aaron Zeff Palmer, Nassif Ghoussoub, Samer Dweik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-03-06T00:26:22Z","title":"Optimal Controlled Transports with Free End Times Subject to Import/Export Tariffs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.02126","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:d66f4356ef9132ef251b578558dcbfe1383a2e03997637f39f4baa601fbb12e8","target":"record","created_at":"2026-05-17T23:51:56Z","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":"6a8bc637e59c58b4f4da7227cb93c3f1f60892365e16f640426d2a2484ba367f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-03-06T00:26:22Z","title_canon_sha256":"9f356f6a1f0e7d83d77caadbef0c2b07d3019b89e1e826fe555a6f825ba49eb2"},"schema_version":"1.0","source":{"id":"1903.02126","kind":"arxiv","version":1}},"canonical_sha256":"5e16ca8f3c142d9764bd0d3ebccb1ec900efe6ad09de674975291cc8e0fa6435","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e16ca8f3c142d9764bd0d3ebccb1ec900efe6ad09de674975291cc8e0fa6435","first_computed_at":"2026-05-17T23:51:56.650424Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:56.650424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tjZoP9/iOv3hJMCH/vJzcbQTZlrQppFp6k1nsOqS7+mayQWV1QgQzQ6hf4BsQOCha2y98Rd/lSaefW4HT37HDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:56.650844Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.02126","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d66f4356ef9132ef251b578558dcbfe1383a2e03997637f39f4baa601fbb12e8","sha256:cecb8d5b6490ee2e47693dc7a55874b691a3bac387da3c882e4ef13b4e7e5098"],"state_sha256":"61691475dc6eaed64d7f0afcd18026481564623c5b6634d3f098a4f2f97e5d13"}