{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:I2F2RKMATNGBCB2S2I5DTOG4LJ","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":"d9c49560f7870a34ce22ae075bde7252d770b180fea2eafd6b33db715f4b05c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-08-13T15:58:18Z","title_canon_sha256":"026a5dc9c0311454957d4e8a435ee194dab6119807b7e1656a92c90b2bd3cff0"},"schema_version":"1.0","source":{"id":"1908.04712","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04712","created_at":"2026-07-04T23:55:15Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04712v1","created_at":"2026-07-04T23:55:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04712","created_at":"2026-07-04T23:55:15Z"},{"alias_kind":"pith_short_12","alias_value":"I2F2RKMATNGB","created_at":"2026-07-04T23:55:15Z"},{"alias_kind":"pith_short_16","alias_value":"I2F2RKMATNGBCB2S","created_at":"2026-07-04T23:55:15Z"},{"alias_kind":"pith_short_8","alias_value":"I2F2RKMA","created_at":"2026-07-04T23:55:15Z"}],"graph_snapshots":[{"event_id":"sha256:50a5665fe919771904d683cae2ea92462661a2a72faeb43cb7b616e678d159fe","target":"graph","created_at":"2026-07-04T23:55:15Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.04712/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we consider a shape optimization problem for the minimization of the erosion, that is caused by the impact of inert particles onto the walls of a bended pipe. Using the continuous adjoint approach, we formally compute the shape derivative of the optimization problem, which is based on a one-way coupled, fully Eulerian description of a monodisperse particle jet, that is transported in a carrier fluid. We validate our approach by numerically optimizing a three-dimensional pipe segment with respect to a single particle species using a gradient descent method, and show, that the eros","authors_text":"Christian Leith\\\"auser, Raphael Hohmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-08-13T15:58:18Z","title":"Gradient-based shape optimization for the reduction of particle erosion in bended pipes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04712","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":"sha256:672507d44074163440aebaead7edbca6027d791a5adbc887f95684b707048a76","target":"record","created_at":"2026-07-04T23:55:15Z","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":"d9c49560f7870a34ce22ae075bde7252d770b180fea2eafd6b33db715f4b05c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-08-13T15:58:18Z","title_canon_sha256":"026a5dc9c0311454957d4e8a435ee194dab6119807b7e1656a92c90b2bd3cff0"},"schema_version":"1.0","source":{"id":"1908.04712","kind":"arxiv","version":1}},"canonical_sha256":"468ba8a9809b4c110752d23a39b8dc5a58727148ff3ac37e00b21543e9fbbe6d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"468ba8a9809b4c110752d23a39b8dc5a58727148ff3ac37e00b21543e9fbbe6d","first_computed_at":"2026-07-04T23:55:15.882271Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:55:15.882271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tC+Aclfx4HMWJsRJAcj/C0LR+5SbTIZpuTSSKhZfZ3Hu2hs56294PhFr6Etp5D7O61kllosJrMzUoi9bYxTPBg==","signature_status":"signed_v1","signed_at":"2026-07-04T23:55:15.882711Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.04712","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:672507d44074163440aebaead7edbca6027d791a5adbc887f95684b707048a76","sha256:50a5665fe919771904d683cae2ea92462661a2a72faeb43cb7b616e678d159fe"],"state_sha256":"5da52979d256c0766d89034bb6bffc3ddf073673f251329d4d4572d230920273"}