{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:JANMBYT6BKAAAWQARB4NQJA3UT","short_pith_number":"pith:JANMBYT6","canonical_record":{"source":{"id":"1712.05228","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-12-14T14:04:45Z","cross_cats_sorted":[],"title_canon_sha256":"8b1a541dfc8dc3faa4c77da4191c02e9f748fd8f321d4476b137b2ace5602dd9","abstract_canon_sha256":"b311bacf1a2d2a788d2fca5622690a09b8e5fba440f105c7ef7cc5de096d49bc"},"schema_version":"1.0"},"canonical_sha256":"481ac0e27e0a80005a008878d8241ba4e0409398155acd161244e0da55fad188","source":{"kind":"arxiv","id":"1712.05228","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.05228","created_at":"2026-05-18T00:27:58Z"},{"alias_kind":"arxiv_version","alias_value":"1712.05228v1","created_at":"2026-05-18T00:27:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.05228","created_at":"2026-05-18T00:27:58Z"},{"alias_kind":"pith_short_12","alias_value":"JANMBYT6BKAA","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"JANMBYT6BKAAAWQA","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"JANMBYT6","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:JANMBYT6BKAAAWQARB4NQJA3UT","target":"record","payload":{"canonical_record":{"source":{"id":"1712.05228","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-12-14T14:04:45Z","cross_cats_sorted":[],"title_canon_sha256":"8b1a541dfc8dc3faa4c77da4191c02e9f748fd8f321d4476b137b2ace5602dd9","abstract_canon_sha256":"b311bacf1a2d2a788d2fca5622690a09b8e5fba440f105c7ef7cc5de096d49bc"},"schema_version":"1.0"},"canonical_sha256":"481ac0e27e0a80005a008878d8241ba4e0409398155acd161244e0da55fad188","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:58.555903Z","signature_b64":"ezIlBy+6GP2RYmzIVXXbEpTFGFasI1WPHCYwv/1jMjXPpnHMOWXpedZPTHtwKMImNipQxXb0lR8P7Gy4N5QZAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"481ac0e27e0a80005a008878d8241ba4e0409398155acd161244e0da55fad188","last_reissued_at":"2026-05-18T00:27:58.555212Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:58.555212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.05228","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":"2026-05-18T00:27:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ImVNJYIFhI/6G6Z7mXfkcEuv03KnKoXT0XohxQ7qziv1Z0yTio4UvZ+9UCw9ZYt7X1HpvbcZl+sSeOPPUJV5BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T02:21:23.952849Z"},"content_sha256":"3ff01523637a92c81e7b8b766d41a91747c62a70bbc381dee03d47f229ee5cfb","schema_version":"1.0","event_id":"sha256:3ff01523637a92c81e7b8b766d41a91747c62a70bbc381dee03d47f229ee5cfb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:JANMBYT6BKAAAWQARB4NQJA3UT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Isogeometric shape optimization for nonlinear ultrasound focusing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Barbara Wohlmuth, Linus Wunderlich, Markus Muhr, Vanja Nikoli\\'c","submitted_at":"2017-12-14T14:04:45Z","abstract_excerpt":"The goal of this work is to improve focusing of high-intensity ultrasound by modifying the geometry of acoustic lenses through shape optimization. The shape optimization problem is formulated by introducing a tracking-type cost functional to match a desired pressure distribution in the focal region. Westervelt's equation, a nonlinear acoustic wave equation, is used to model the pressure field. We apply the optimize first, then discretize approach, where we first rigorously compute the shape derivative of our cost functional. A gradient-based optimization algorithm is then developed within the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.05228","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":"2026-05-18T00:27:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bG8Sid3ZLdNzY4jxN66zBKWqWo+X38YxaRG+1kynl6o8OfkxOaHj4uMKzx7LML5gBvyKEw6ZN8bWCG1wsJdIAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T02:21:23.953200Z"},"content_sha256":"51d1a101380b845f2bd21e82774c1cdbd6e7117a11f0813375b47ddc6ce037c6","schema_version":"1.0","event_id":"sha256:51d1a101380b845f2bd21e82774c1cdbd6e7117a11f0813375b47ddc6ce037c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JANMBYT6BKAAAWQARB4NQJA3UT/bundle.json","state_url":"https://pith.science/pith/JANMBYT6BKAAAWQARB4NQJA3UT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JANMBYT6BKAAAWQARB4NQJA3UT/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":"2026-06-20T02:21:23Z","links":{"resolver":"https://pith.science/pith/JANMBYT6BKAAAWQARB4NQJA3UT","bundle":"https://pith.science/pith/JANMBYT6BKAAAWQARB4NQJA3UT/bundle.json","state":"https://pith.science/pith/JANMBYT6BKAAAWQARB4NQJA3UT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JANMBYT6BKAAAWQARB4NQJA3UT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JANMBYT6BKAAAWQARB4NQJA3UT","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":"b311bacf1a2d2a788d2fca5622690a09b8e5fba440f105c7ef7cc5de096d49bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-12-14T14:04:45Z","title_canon_sha256":"8b1a541dfc8dc3faa4c77da4191c02e9f748fd8f321d4476b137b2ace5602dd9"},"schema_version":"1.0","source":{"id":"1712.05228","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.05228","created_at":"2026-05-18T00:27:58Z"},{"alias_kind":"arxiv_version","alias_value":"1712.05228v1","created_at":"2026-05-18T00:27:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.05228","created_at":"2026-05-18T00:27:58Z"},{"alias_kind":"pith_short_12","alias_value":"JANMBYT6BKAA","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"JANMBYT6BKAAAWQA","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"JANMBYT6","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:51d1a101380b845f2bd21e82774c1cdbd6e7117a11f0813375b47ddc6ce037c6","target":"graph","created_at":"2026-05-18T00:27:58Z","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":"The goal of this work is to improve focusing of high-intensity ultrasound by modifying the geometry of acoustic lenses through shape optimization. The shape optimization problem is formulated by introducing a tracking-type cost functional to match a desired pressure distribution in the focal region. Westervelt's equation, a nonlinear acoustic wave equation, is used to model the pressure field. We apply the optimize first, then discretize approach, where we first rigorously compute the shape derivative of our cost functional. A gradient-based optimization algorithm is then developed within the ","authors_text":"Barbara Wohlmuth, Linus Wunderlich, Markus Muhr, Vanja Nikoli\\'c","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-12-14T14:04:45Z","title":"Isogeometric shape optimization for nonlinear ultrasound focusing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.05228","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":"sha256:3ff01523637a92c81e7b8b766d41a91747c62a70bbc381dee03d47f229ee5cfb","target":"record","created_at":"2026-05-18T00:27:58Z","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":"b311bacf1a2d2a788d2fca5622690a09b8e5fba440f105c7ef7cc5de096d49bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-12-14T14:04:45Z","title_canon_sha256":"8b1a541dfc8dc3faa4c77da4191c02e9f748fd8f321d4476b137b2ace5602dd9"},"schema_version":"1.0","source":{"id":"1712.05228","kind":"arxiv","version":1}},"canonical_sha256":"481ac0e27e0a80005a008878d8241ba4e0409398155acd161244e0da55fad188","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"481ac0e27e0a80005a008878d8241ba4e0409398155acd161244e0da55fad188","first_computed_at":"2026-05-18T00:27:58.555212Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:58.555212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ezIlBy+6GP2RYmzIVXXbEpTFGFasI1WPHCYwv/1jMjXPpnHMOWXpedZPTHtwKMImNipQxXb0lR8P7Gy4N5QZAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:58.555903Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.05228","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ff01523637a92c81e7b8b766d41a91747c62a70bbc381dee03d47f229ee5cfb","sha256:51d1a101380b845f2bd21e82774c1cdbd6e7117a11f0813375b47ddc6ce037c6"],"state_sha256":"9322e34fe0cad0e88b3c13fcd0508f93e865bf0829b5d01bbefdf46547c0ad09"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+GMV7W8uO4002kjq2dRBB2YzK8se1+YQLdIFo9fNYXz/uvtMdgfg7qbuG5zCGpaym5INkcI00vBVMCdzswxzBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T02:21:23.955140Z","bundle_sha256":"3ae707684d2620e25669ba215ba7fb17362b7744692640931ca8966a043a7a45"}}