{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:HJVVPC73LTUE6LGHBTX4EBCLGF","short_pith_number":"pith:HJVVPC73","canonical_record":{"source":{"id":"1903.07572","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-18T17:10:02Z","cross_cats_sorted":["math.AP","math.NA"],"title_canon_sha256":"9e6222e407291f7f006054c7562725dffe7ca2d76f79c183019a13f2538fd5fe","abstract_canon_sha256":"a65fef941db588ccaa01f3881aece05d5c470f5738ba45d873c065b5d117a15e"},"schema_version":"1.0"},"canonical_sha256":"3a6b578bfb5ce84f2cc70cefc2044b31490e203f0b809887b91a81c415501204","source":{"kind":"arxiv","id":"1903.07572","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.07572","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"arxiv_version","alias_value":"1903.07572v1","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.07572","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"pith_short_12","alias_value":"HJVVPC73LTUE","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"HJVVPC73LTUE6LGH","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"HJVVPC73","created_at":"2026-05-18T12:33:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:HJVVPC73LTUE6LGHBTX4EBCLGF","target":"record","payload":{"canonical_record":{"source":{"id":"1903.07572","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-18T17:10:02Z","cross_cats_sorted":["math.AP","math.NA"],"title_canon_sha256":"9e6222e407291f7f006054c7562725dffe7ca2d76f79c183019a13f2538fd5fe","abstract_canon_sha256":"a65fef941db588ccaa01f3881aece05d5c470f5738ba45d873c065b5d117a15e"},"schema_version":"1.0"},"canonical_sha256":"3a6b578bfb5ce84f2cc70cefc2044b31490e203f0b809887b91a81c415501204","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:00.965431Z","signature_b64":"KgEzkDUKjYKgi21gqQ0wi0TO3meJ1wQE52qLobRG6fIsDUhBYOaMJqdQfwLoEmGgm3o8eOM5AtUr2dLDRhI1CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a6b578bfb5ce84f2cc70cefc2044b31490e203f0b809887b91a81c415501204","last_reissued_at":"2026-05-17T23:51:00.964898Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:00.964898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.07572","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:51:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X8uET2ug/egONTGZcRC/TIpst8nmn4++Tzk9OiWfUiuFSA92FicaWNmbHAYdF4Gsmy/sVd0I0oMM7zK6cg/uDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:08:01.386137Z"},"content_sha256":"b7c5b07baa752310a14f1da7908ad28842734cf4733268af654a34ce4e4b43f1","schema_version":"1.0","event_id":"sha256:b7c5b07baa752310a14f1da7908ad28842734cf4733268af654a34ce4e4b43f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:HJVVPC73LTUE6LGHBTX4EBCLGF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal actuator design for vibration control based on LQR performance and shape calculus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.NA"],"primary_cat":"math.OC","authors_text":"Dante Kalise, Kevin Sturm, Kirsten A. Morris, M. Sajjad Edalatzadeh","submitted_at":"2019-03-18T17:10:02Z","abstract_excerpt":"Optimal actuator design for a vibration control problem is calculated. The actuator shape is optimized according to the closed-loop performance of the resulting linear-quadratic regulator and a penalty on the actuator size. The optimal actuator shape is found by means of shape calculus and a topological derivative of the linear-quadratic regulator (LQR) performance index. An abstract framework is proposed based on the theory for infinite-dimensional optimization of both the actuator shape and the associated control problem. A numerical realization of the optimality condition is presented for t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.07572","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:51:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sDMcKZ8tvGvr3QMq3aVGx83zHrcDGiI3ckH0SgnXHcskIvQyHU2kh6ow0dj/2eSajeztOkrXFXYp7oopct94BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:08:01.386512Z"},"content_sha256":"6c0974c97c0e278dbbd7c6730d4f81b2480c2dcda6d7d0211e59491695d44c75","schema_version":"1.0","event_id":"sha256:6c0974c97c0e278dbbd7c6730d4f81b2480c2dcda6d7d0211e59491695d44c75"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HJVVPC73LTUE6LGHBTX4EBCLGF/bundle.json","state_url":"https://pith.science/pith/HJVVPC73LTUE6LGHBTX4EBCLGF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HJVVPC73LTUE6LGHBTX4EBCLGF/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":"2026-06-01T21:08:01Z","links":{"resolver":"https://pith.science/pith/HJVVPC73LTUE6LGHBTX4EBCLGF","bundle":"https://pith.science/pith/HJVVPC73LTUE6LGHBTX4EBCLGF/bundle.json","state":"https://pith.science/pith/HJVVPC73LTUE6LGHBTX4EBCLGF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HJVVPC73LTUE6LGHBTX4EBCLGF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:HJVVPC73LTUE6LGHBTX4EBCLGF","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":"a65fef941db588ccaa01f3881aece05d5c470f5738ba45d873c065b5d117a15e","cross_cats_sorted":["math.AP","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-18T17:10:02Z","title_canon_sha256":"9e6222e407291f7f006054c7562725dffe7ca2d76f79c183019a13f2538fd5fe"},"schema_version":"1.0","source":{"id":"1903.07572","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.07572","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"arxiv_version","alias_value":"1903.07572v1","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.07572","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"pith_short_12","alias_value":"HJVVPC73LTUE","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"HJVVPC73LTUE6LGH","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"HJVVPC73","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:6c0974c97c0e278dbbd7c6730d4f81b2480c2dcda6d7d0211e59491695d44c75","target":"graph","created_at":"2026-05-17T23:51:00Z","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":"Optimal actuator design for a vibration control problem is calculated. The actuator shape is optimized according to the closed-loop performance of the resulting linear-quadratic regulator and a penalty on the actuator size. The optimal actuator shape is found by means of shape calculus and a topological derivative of the linear-quadratic regulator (LQR) performance index. An abstract framework is proposed based on the theory for infinite-dimensional optimization of both the actuator shape and the associated control problem. A numerical realization of the optimality condition is presented for t","authors_text":"Dante Kalise, Kevin Sturm, Kirsten A. Morris, M. Sajjad Edalatzadeh","cross_cats":["math.AP","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-18T17:10:02Z","title":"Optimal actuator design for vibration control based on LQR performance and shape calculus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.07572","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:b7c5b07baa752310a14f1da7908ad28842734cf4733268af654a34ce4e4b43f1","target":"record","created_at":"2026-05-17T23:51:00Z","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":"a65fef941db588ccaa01f3881aece05d5c470f5738ba45d873c065b5d117a15e","cross_cats_sorted":["math.AP","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-18T17:10:02Z","title_canon_sha256":"9e6222e407291f7f006054c7562725dffe7ca2d76f79c183019a13f2538fd5fe"},"schema_version":"1.0","source":{"id":"1903.07572","kind":"arxiv","version":1}},"canonical_sha256":"3a6b578bfb5ce84f2cc70cefc2044b31490e203f0b809887b91a81c415501204","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a6b578bfb5ce84f2cc70cefc2044b31490e203f0b809887b91a81c415501204","first_computed_at":"2026-05-17T23:51:00.964898Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:00.964898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KgEzkDUKjYKgi21gqQ0wi0TO3meJ1wQE52qLobRG6fIsDUhBYOaMJqdQfwLoEmGgm3o8eOM5AtUr2dLDRhI1CQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:00.965431Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.07572","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7c5b07baa752310a14f1da7908ad28842734cf4733268af654a34ce4e4b43f1","sha256:6c0974c97c0e278dbbd7c6730d4f81b2480c2dcda6d7d0211e59491695d44c75"],"state_sha256":"8c6400660d9603cb43e8124376973412d74bda475f36654d1b52d4073f7bb43a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bChT7Dx6R/vObsvydctWR+/WcmFWWAdiW71oD3RTbEo2L9cxD1hFOqjG1CpPYGiSea2+79InS/rLkvKI44RADQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T21:08:01.389138Z","bundle_sha256":"433db300297ce5654b550bb814f69eb8c57185ffab71855be49ffb522222cd5c"}}