{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:MA3DXIAIHSMXEQLCG7R74KGLXR","short_pith_number":"pith:MA3DXIAI","canonical_record":{"source":{"id":"1904.11424","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2019-04-25T15:59:34Z","cross_cats_sorted":[],"title_canon_sha256":"7bf360303ba80941f54af69cc022e058639309b1b4491b2c5b711c68acaaba0b","abstract_canon_sha256":"84a28fcedb94050a662e8211ef51a63229aa940665d693e4cfeb80f0bdeda055"},"schema_version":"1.0"},"canonical_sha256":"60363ba0083c9972416237e3fe28cbbc6ccf5cf1bf96cc0417e5cc1c6d762b77","source":{"kind":"arxiv","id":"1904.11424","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.11424","created_at":"2026-05-17T23:47:44Z"},{"alias_kind":"arxiv_version","alias_value":"1904.11424v1","created_at":"2026-05-17T23:47:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.11424","created_at":"2026-05-17T23:47:44Z"},{"alias_kind":"pith_short_12","alias_value":"MA3DXIAIHSMX","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"MA3DXIAIHSMXEQLC","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"MA3DXIAI","created_at":"2026-05-18T12:33:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:MA3DXIAIHSMXEQLCG7R74KGLXR","target":"record","payload":{"canonical_record":{"source":{"id":"1904.11424","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2019-04-25T15:59:34Z","cross_cats_sorted":[],"title_canon_sha256":"7bf360303ba80941f54af69cc022e058639309b1b4491b2c5b711c68acaaba0b","abstract_canon_sha256":"84a28fcedb94050a662e8211ef51a63229aa940665d693e4cfeb80f0bdeda055"},"schema_version":"1.0"},"canonical_sha256":"60363ba0083c9972416237e3fe28cbbc6ccf5cf1bf96cc0417e5cc1c6d762b77","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:44.918334Z","signature_b64":"R0LeBDIfgjy20YSWgWgG16CeXIiqozH8j+ipaQ1yK6onO50eEaMMHY1CM1iDthia/CQP99zEZop4C+BRyiJUAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60363ba0083c9972416237e3fe28cbbc6ccf5cf1bf96cc0417e5cc1c6d762b77","last_reissued_at":"2026-05-17T23:47:44.917831Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:44.917831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.11424","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":"2026-05-17T23:47:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZqJgKvez94qfiT4ZZzvx5qM7fVhcytOGhLvKawUVLrNX1mlaB437bm56b8ZfvY/b9nC80z4wPHZiUsjmDjvoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:04:57.498925Z"},"content_sha256":"bafa3c380062390973becac01d4d66d1ce3195dba8ad46f8875a9661c14f5c9a","schema_version":"1.0","event_id":"sha256:bafa3c380062390973becac01d4d66d1ce3195dba8ad46f8875a9661c14f5c9a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:MA3DXIAIHSMXEQLCG7R74KGLXR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Threshold shift method for reliability-based design optimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NA","authors_text":"Rajib Chowdhury, Somdatta Goswami, Souvik Chakraborty, Timon Rabczuk","submitted_at":"2019-04-25T15:59:34Z","abstract_excerpt":"We present a novel approach, referred to as the 'threshold shift method' (TSM), for reliability based design optimization (RBDO). The proposed approach is similar in spirit with the sequential optimization and reliability analysis (SORA) method where the RBDO problem is decoupled into an optimization and a reliability analysis problem. However, unlike SORA that utilizes shift-vector to shift the design variables within a constraint (independently), in TSM we propose to shift the threshold of the constraints. We argue that modifying a constraint, either by shifting the design variables (SORA) o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.11424","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":"2026-05-17T23:47:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cRd6M5lckOaOSEKaUMLB8+7MF7kkbQQJX9bl8AEc8YnNXUyxdAwpU1a10elLXKaRPpsJcByjUw6c9n/xsRdXAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:04:57.499583Z"},"content_sha256":"3f84f09bdb62e1a8628dc2ab7f45f15c09434894e4cfdc09546d5343957a6ae1","schema_version":"1.0","event_id":"sha256:3f84f09bdb62e1a8628dc2ab7f45f15c09434894e4cfdc09546d5343957a6ae1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MA3DXIAIHSMXEQLCG7R74KGLXR/bundle.json","state_url":"https://pith.science/pith/MA3DXIAIHSMXEQLCG7R74KGLXR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MA3DXIAIHSMXEQLCG7R74KGLXR/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":"2026-05-25T16:04:57Z","links":{"resolver":"https://pith.science/pith/MA3DXIAIHSMXEQLCG7R74KGLXR","bundle":"https://pith.science/pith/MA3DXIAIHSMXEQLCG7R74KGLXR/bundle.json","state":"https://pith.science/pith/MA3DXIAIHSMXEQLCG7R74KGLXR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MA3DXIAIHSMXEQLCG7R74KGLXR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:MA3DXIAIHSMXEQLCG7R74KGLXR","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":"84a28fcedb94050a662e8211ef51a63229aa940665d693e4cfeb80f0bdeda055","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2019-04-25T15:59:34Z","title_canon_sha256":"7bf360303ba80941f54af69cc022e058639309b1b4491b2c5b711c68acaaba0b"},"schema_version":"1.0","source":{"id":"1904.11424","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.11424","created_at":"2026-05-17T23:47:44Z"},{"alias_kind":"arxiv_version","alias_value":"1904.11424v1","created_at":"2026-05-17T23:47:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.11424","created_at":"2026-05-17T23:47:44Z"},{"alias_kind":"pith_short_12","alias_value":"MA3DXIAIHSMX","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"MA3DXIAIHSMXEQLC","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"MA3DXIAI","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:3f84f09bdb62e1a8628dc2ab7f45f15c09434894e4cfdc09546d5343957a6ae1","target":"graph","created_at":"2026-05-17T23:47:44Z","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 present a novel approach, referred to as the 'threshold shift method' (TSM), for reliability based design optimization (RBDO). The proposed approach is similar in spirit with the sequential optimization and reliability analysis (SORA) method where the RBDO problem is decoupled into an optimization and a reliability analysis problem. However, unlike SORA that utilizes shift-vector to shift the design variables within a constraint (independently), in TSM we propose to shift the threshold of the constraints. We argue that modifying a constraint, either by shifting the design variables (SORA) o","authors_text":"Rajib Chowdhury, Somdatta Goswami, Souvik Chakraborty, Timon Rabczuk","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2019-04-25T15:59:34Z","title":"Threshold shift method for reliability-based design optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.11424","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:bafa3c380062390973becac01d4d66d1ce3195dba8ad46f8875a9661c14f5c9a","target":"record","created_at":"2026-05-17T23:47:44Z","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":"84a28fcedb94050a662e8211ef51a63229aa940665d693e4cfeb80f0bdeda055","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2019-04-25T15:59:34Z","title_canon_sha256":"7bf360303ba80941f54af69cc022e058639309b1b4491b2c5b711c68acaaba0b"},"schema_version":"1.0","source":{"id":"1904.11424","kind":"arxiv","version":1}},"canonical_sha256":"60363ba0083c9972416237e3fe28cbbc6ccf5cf1bf96cc0417e5cc1c6d762b77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60363ba0083c9972416237e3fe28cbbc6ccf5cf1bf96cc0417e5cc1c6d762b77","first_computed_at":"2026-05-17T23:47:44.917831Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:44.917831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R0LeBDIfgjy20YSWgWgG16CeXIiqozH8j+ipaQ1yK6onO50eEaMMHY1CM1iDthia/CQP99zEZop4C+BRyiJUAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:44.918334Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.11424","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bafa3c380062390973becac01d4d66d1ce3195dba8ad46f8875a9661c14f5c9a","sha256:3f84f09bdb62e1a8628dc2ab7f45f15c09434894e4cfdc09546d5343957a6ae1"],"state_sha256":"dae39023b1f58217ae6012daf4d0337448e32cf7846b92dd0872f3398c9ba244"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dl9ySqUD9279rfLkz4wr4dWsJkpBW66GRDNwdNMHrJfy72gVs8hyVr9N6Zep+g7RF1B4YaUrVA07rrt461cSAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T16:04:57.503394Z","bundle_sha256":"945e41e6fbe5941ec35a2eea799815a4b42b50692d86fbc5153297715784d720"}}