{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ROCBLYI4YNVQENMUVKJT7WCXKW","short_pith_number":"pith:ROCBLYI4","canonical_record":{"source":{"id":"1402.5518","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-02-22T15:35:58Z","cross_cats_sorted":[],"title_canon_sha256":"de43c4689a1ec46ef0df3c4d181e0da82fa550510300e88a71a1c706f83e819b","abstract_canon_sha256":"0c70982c2f908f1e8625584de3237888e60712c86baae657c9d21f8437df7db5"},"schema_version":"1.0"},"canonical_sha256":"8b8415e11cc36b023594aa933fd85755affd7965b8fe5d8c8fb1ff20d0111432","source":{"kind":"arxiv","id":"1402.5518","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.5518","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"arxiv_version","alias_value":"1402.5518v3","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5518","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"pith_short_12","alias_value":"ROCBLYI4YNVQ","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"ROCBLYI4YNVQENMU","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"ROCBLYI4","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ROCBLYI4YNVQENMUVKJT7WCXKW","target":"record","payload":{"canonical_record":{"source":{"id":"1402.5518","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-02-22T15:35:58Z","cross_cats_sorted":[],"title_canon_sha256":"de43c4689a1ec46ef0df3c4d181e0da82fa550510300e88a71a1c706f83e819b","abstract_canon_sha256":"0c70982c2f908f1e8625584de3237888e60712c86baae657c9d21f8437df7db5"},"schema_version":"1.0"},"canonical_sha256":"8b8415e11cc36b023594aa933fd85755affd7965b8fe5d8c8fb1ff20d0111432","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:17.516986Z","signature_b64":"7ucLicxN3vfijF9z8rihB/BOJpUAolFu3WfdhlQew7TCfQsMR/tz07HPnAggJw81Ol2U/7/gkEhiJVfbmd+dAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b8415e11cc36b023594aa933fd85755affd7965b8fe5d8c8fb1ff20d0111432","last_reissued_at":"2026-05-18T02:29:17.516489Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:17.516489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.5518","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:29:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FsPxMBXrOxafd6T2BQlu7etfQCnmAg4sNnwPnLjUZRldZaodPQDNCYwrSp7kzWnSaRz3jnOxpiZvdNdZWcIkAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T09:26:50.573793Z"},"content_sha256":"e1094082f478a35926b208a785afef29a4516cbf4eb2a183115377890c9063ce","schema_version":"1.0","event_id":"sha256:e1094082f478a35926b208a785afef29a4516cbf4eb2a183115377890c9063ce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ROCBLYI4YNVQENMUVKJT7WCXKW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Semi-Classical Limit of an Optimal Design Problem for the Stationary Quantum Drift-Diffusion Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Florian Schneider, Oliver Tse, Ren\\'e Pinnau, Sebastian Rau","submitted_at":"2014-02-22T15:35:58Z","abstract_excerpt":"We consider an optimal semiconductor design problem for the quantum drift diffusion (QDD) model in the semiclassical limit. The design question is formulated as a PDE constrained optimal control problem, where the doping profile acts as control variable. The existence of minimizers for any scaled Planck constant allows for the investigation of the corresponding sequence. Using the concepts of Gamma-convergence and equi-coercivity we can show the convergence of minima and minimizers. Due to the lack of uniqueness for the state system and optimization problem, it was necessary to establish a new"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5518","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:29:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wByuraQI4240tuKm8xNDTFFBrjNGL+O+aDm+GZCBf3Igxi45ND08Q5pAPSu7iDq4jQJG2TU8bd9CIuouVxP9AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T09:26:50.574132Z"},"content_sha256":"ef282fb79a6a10e74a72c9c2801410b6b293d7a34cfaffdebb3482de31a621eb","schema_version":"1.0","event_id":"sha256:ef282fb79a6a10e74a72c9c2801410b6b293d7a34cfaffdebb3482de31a621eb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ROCBLYI4YNVQENMUVKJT7WCXKW/bundle.json","state_url":"https://pith.science/pith/ROCBLYI4YNVQENMUVKJT7WCXKW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ROCBLYI4YNVQENMUVKJT7WCXKW/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-08T09:26:50Z","links":{"resolver":"https://pith.science/pith/ROCBLYI4YNVQENMUVKJT7WCXKW","bundle":"https://pith.science/pith/ROCBLYI4YNVQENMUVKJT7WCXKW/bundle.json","state":"https://pith.science/pith/ROCBLYI4YNVQENMUVKJT7WCXKW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ROCBLYI4YNVQENMUVKJT7WCXKW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ROCBLYI4YNVQENMUVKJT7WCXKW","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":"0c70982c2f908f1e8625584de3237888e60712c86baae657c9d21f8437df7db5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-02-22T15:35:58Z","title_canon_sha256":"de43c4689a1ec46ef0df3c4d181e0da82fa550510300e88a71a1c706f83e819b"},"schema_version":"1.0","source":{"id":"1402.5518","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.5518","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"arxiv_version","alias_value":"1402.5518v3","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5518","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"pith_short_12","alias_value":"ROCBLYI4YNVQ","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"ROCBLYI4YNVQENMU","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"ROCBLYI4","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:ef282fb79a6a10e74a72c9c2801410b6b293d7a34cfaffdebb3482de31a621eb","target":"graph","created_at":"2026-05-18T02:29:17Z","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 consider an optimal semiconductor design problem for the quantum drift diffusion (QDD) model in the semiclassical limit. The design question is formulated as a PDE constrained optimal control problem, where the doping profile acts as control variable. The existence of minimizers for any scaled Planck constant allows for the investigation of the corresponding sequence. Using the concepts of Gamma-convergence and equi-coercivity we can show the convergence of minima and minimizers. Due to the lack of uniqueness for the state system and optimization problem, it was necessary to establish a new","authors_text":"Florian Schneider, Oliver Tse, Ren\\'e Pinnau, Sebastian Rau","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-02-22T15:35:58Z","title":"The Semi-Classical Limit of an Optimal Design Problem for the Stationary Quantum Drift-Diffusion Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5518","kind":"arxiv","version":3},"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:e1094082f478a35926b208a785afef29a4516cbf4eb2a183115377890c9063ce","target":"record","created_at":"2026-05-18T02:29:17Z","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":"0c70982c2f908f1e8625584de3237888e60712c86baae657c9d21f8437df7db5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-02-22T15:35:58Z","title_canon_sha256":"de43c4689a1ec46ef0df3c4d181e0da82fa550510300e88a71a1c706f83e819b"},"schema_version":"1.0","source":{"id":"1402.5518","kind":"arxiv","version":3}},"canonical_sha256":"8b8415e11cc36b023594aa933fd85755affd7965b8fe5d8c8fb1ff20d0111432","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b8415e11cc36b023594aa933fd85755affd7965b8fe5d8c8fb1ff20d0111432","first_computed_at":"2026-05-18T02:29:17.516489Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:17.516489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7ucLicxN3vfijF9z8rihB/BOJpUAolFu3WfdhlQew7TCfQsMR/tz07HPnAggJw81Ol2U/7/gkEhiJVfbmd+dAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:17.516986Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.5518","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e1094082f478a35926b208a785afef29a4516cbf4eb2a183115377890c9063ce","sha256:ef282fb79a6a10e74a72c9c2801410b6b293d7a34cfaffdebb3482de31a621eb"],"state_sha256":"4dae17f04dd23033b93c80ccc8612621dd7fd3d335b6537364a29b7696c730af"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xunyiMxuPUSV6Tx1Zu20i6ZQwxy+yjGQxufRf1jk98WGZtkVF9oKX9yMlABkdumSvZKgjBpLrGelYAD/USihBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T09:26:50.576472Z","bundle_sha256":"67d41abf92910d77c53285f6bf5485dbcd5a634689147a2fed4c1e6bb7f5dda3"}}