{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ETB4LMPA2Z7VBI5HGRJVYIQZB6","short_pith_number":"pith:ETB4LMPA","canonical_record":{"source":{"id":"1802.05240","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-02-14T18:00:37Z","cross_cats_sorted":[],"title_canon_sha256":"caeb9dcf9d68af58c52ee838f6c3d1851559ac499d3e75acfa156aa0a14dabad","abstract_canon_sha256":"6660b540efb164ec4b49084a650437ba0a69ebc6d713c385e73c22607ed50ac4"},"schema_version":"1.0"},"canonical_sha256":"24c3c5b1e0d67f50a3a734535c22190fbca1a2b55a0d56302d4304332e5bcb44","source":{"kind":"arxiv","id":"1802.05240","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.05240","created_at":"2026-05-18T00:23:19Z"},{"alias_kind":"arxiv_version","alias_value":"1802.05240v1","created_at":"2026-05-18T00:23:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.05240","created_at":"2026-05-18T00:23:19Z"},{"alias_kind":"pith_short_12","alias_value":"ETB4LMPA2Z7V","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"ETB4LMPA2Z7VBI5H","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"ETB4LMPA","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ETB4LMPA2Z7VBI5HGRJVYIQZB6","target":"record","payload":{"canonical_record":{"source":{"id":"1802.05240","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-02-14T18:00:37Z","cross_cats_sorted":[],"title_canon_sha256":"caeb9dcf9d68af58c52ee838f6c3d1851559ac499d3e75acfa156aa0a14dabad","abstract_canon_sha256":"6660b540efb164ec4b49084a650437ba0a69ebc6d713c385e73c22607ed50ac4"},"schema_version":"1.0"},"canonical_sha256":"24c3c5b1e0d67f50a3a734535c22190fbca1a2b55a0d56302d4304332e5bcb44","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:19.887919Z","signature_b64":"/ugwl+YE1o6zfRlTwlMdFk3KsGtRLgG988cR/OnnqB/Oj8J87XyTZoVM7eLpBOHgOxFDwgbRqy53pMnl9hgfAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24c3c5b1e0d67f50a3a734535c22190fbca1a2b55a0d56302d4304332e5bcb44","last_reissued_at":"2026-05-18T00:23:19.887248Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:19.887248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.05240","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":"2026-05-18T00:23:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FMlLmI4wr3w45CuTWceuBx6ZVpc3FDOwvPRmza7VkMN3qecBVoSTr+IyKX/Eq1GI1+1mXxtov/stmO+2nu7oAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T22:13:41.193205Z"},"content_sha256":"93aef3fbf5baf8e68de74c51135462e11bf1115e970df88e5ed6b1dfc3c0524d","schema_version":"1.0","event_id":"sha256:93aef3fbf5baf8e68de74c51135462e11bf1115e970df88e5ed6b1dfc3c0524d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ETB4LMPA2Z7VBI5HGRJVYIQZB6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Adjoint Method to Calculate Shape Gradients of Failure Probabilaties for Turbomachinery Components","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Hanno Gottschalk, Kathrin Klamroth, Mohamed Saadi, Onur Tanil Doganay, Sebastian Schmitz","submitted_at":"2018-02-14T18:00:37Z","abstract_excerpt":"In the optimization of turbomachinery components, shape sensitivities for fluid dynamical objective functions have been used for a long time. As peak stress is not a differential func- tional of the shape, such highly efficient procedures so far have been missing for objective functionals that stem from mechan- ical integrity. This changes, if deterministic lifing criteria are replaced by probabilistic criteria, which have been introduced recently to the field of low cycle fatigue (LCF). Here we present a finite element (FEA) based first discretize, then adjoin approach to the calculation of s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.05240","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":"2026-05-18T00:23:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wDlLVtkDK4uu6fpucUGYPJkM5Ncq9G3fYvY+/+B+24EAVrneIfQlKwu2OpK2Wbp4GXHRw1AAfKjfYE8P0EzFBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T22:13:41.193892Z"},"content_sha256":"f4d529cf708b9ca16881096977be161a5671219077e48b0fc89e5b537e99c046","schema_version":"1.0","event_id":"sha256:f4d529cf708b9ca16881096977be161a5671219077e48b0fc89e5b537e99c046"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ETB4LMPA2Z7VBI5HGRJVYIQZB6/bundle.json","state_url":"https://pith.science/pith/ETB4LMPA2Z7VBI5HGRJVYIQZB6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ETB4LMPA2Z7VBI5HGRJVYIQZB6/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":"2026-05-26T22:13:41Z","links":{"resolver":"https://pith.science/pith/ETB4LMPA2Z7VBI5HGRJVYIQZB6","bundle":"https://pith.science/pith/ETB4LMPA2Z7VBI5HGRJVYIQZB6/bundle.json","state":"https://pith.science/pith/ETB4LMPA2Z7VBI5HGRJVYIQZB6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ETB4LMPA2Z7VBI5HGRJVYIQZB6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ETB4LMPA2Z7VBI5HGRJVYIQZB6","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":"6660b540efb164ec4b49084a650437ba0a69ebc6d713c385e73c22607ed50ac4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-02-14T18:00:37Z","title_canon_sha256":"caeb9dcf9d68af58c52ee838f6c3d1851559ac499d3e75acfa156aa0a14dabad"},"schema_version":"1.0","source":{"id":"1802.05240","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.05240","created_at":"2026-05-18T00:23:19Z"},{"alias_kind":"arxiv_version","alias_value":"1802.05240v1","created_at":"2026-05-18T00:23:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.05240","created_at":"2026-05-18T00:23:19Z"},{"alias_kind":"pith_short_12","alias_value":"ETB4LMPA2Z7V","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"ETB4LMPA2Z7VBI5H","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"ETB4LMPA","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:f4d529cf708b9ca16881096977be161a5671219077e48b0fc89e5b537e99c046","target":"graph","created_at":"2026-05-18T00:23:19Z","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":"In the optimization of turbomachinery components, shape sensitivities for fluid dynamical objective functions have been used for a long time. As peak stress is not a differential func- tional of the shape, such highly efficient procedures so far have been missing for objective functionals that stem from mechan- ical integrity. This changes, if deterministic lifing criteria are replaced by probabilistic criteria, which have been introduced recently to the field of low cycle fatigue (LCF). Here we present a finite element (FEA) based first discretize, then adjoin approach to the calculation of s","authors_text":"Hanno Gottschalk, Kathrin Klamroth, Mohamed Saadi, Onur Tanil Doganay, Sebastian Schmitz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-02-14T18:00:37Z","title":"Adjoint Method to Calculate Shape Gradients of Failure Probabilaties for Turbomachinery Components"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.05240","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":"sha256:93aef3fbf5baf8e68de74c51135462e11bf1115e970df88e5ed6b1dfc3c0524d","target":"record","created_at":"2026-05-18T00:23:19Z","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":"6660b540efb164ec4b49084a650437ba0a69ebc6d713c385e73c22607ed50ac4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-02-14T18:00:37Z","title_canon_sha256":"caeb9dcf9d68af58c52ee838f6c3d1851559ac499d3e75acfa156aa0a14dabad"},"schema_version":"1.0","source":{"id":"1802.05240","kind":"arxiv","version":1}},"canonical_sha256":"24c3c5b1e0d67f50a3a734535c22190fbca1a2b55a0d56302d4304332e5bcb44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24c3c5b1e0d67f50a3a734535c22190fbca1a2b55a0d56302d4304332e5bcb44","first_computed_at":"2026-05-18T00:23:19.887248Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:19.887248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/ugwl+YE1o6zfRlTwlMdFk3KsGtRLgG988cR/OnnqB/Oj8J87XyTZoVM7eLpBOHgOxFDwgbRqy53pMnl9hgfAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:19.887919Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.05240","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93aef3fbf5baf8e68de74c51135462e11bf1115e970df88e5ed6b1dfc3c0524d","sha256:f4d529cf708b9ca16881096977be161a5671219077e48b0fc89e5b537e99c046"],"state_sha256":"582aa8aa29f095460699fea722c5d0f92a313ac7d0cbb21e33ab6118f13d9358"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kDPn0ZIzSwNbSbMy1vTjKWdRltby5FU6iuWydLCratu+J0HqWkL+kZGHe6dYsG4TlLNpZqIT8Z51wdJK/dQKDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T22:13:41.197563Z","bundle_sha256":"e3c773fe40be5365da90904be8c0506ca1049b3db7dddbfbe46fb1309b781b1b"}}