{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:DRBAAXGLE7BFDLYE2KN6MU2AJP","short_pith_number":"pith:DRBAAXGL","canonical_record":{"source":{"id":"1611.05253","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-11-16T12:29:09Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"6c4212f57c303f6baccee8124100f95be26ce59e7a99003efac646cc881af311","abstract_canon_sha256":"5c2893418a98c404515b391cca5a8f700cc07412a7bea90483dce0204b528605"},"schema_version":"1.0"},"canonical_sha256":"1c42005ccb27c251af04d29be653404bfa169bf31757f26682c8067ec448e974","source":{"kind":"arxiv","id":"1611.05253","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.05253","created_at":"2026-05-18T00:40:40Z"},{"alias_kind":"arxiv_version","alias_value":"1611.05253v2","created_at":"2026-05-18T00:40:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.05253","created_at":"2026-05-18T00:40:40Z"},{"alias_kind":"pith_short_12","alias_value":"DRBAAXGLE7BF","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DRBAAXGLE7BFDLYE","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DRBAAXGL","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:DRBAAXGLE7BFDLYE2KN6MU2AJP","target":"record","payload":{"canonical_record":{"source":{"id":"1611.05253","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-11-16T12:29:09Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"6c4212f57c303f6baccee8124100f95be26ce59e7a99003efac646cc881af311","abstract_canon_sha256":"5c2893418a98c404515b391cca5a8f700cc07412a7bea90483dce0204b528605"},"schema_version":"1.0"},"canonical_sha256":"1c42005ccb27c251af04d29be653404bfa169bf31757f26682c8067ec448e974","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:40.839857Z","signature_b64":"XFzQPXgkjY6/7M56oy3DlgogsGKMqUJlZjk75VQHCqRVbW33R6FLwtxLt3wKi1uuXF3P6bXin8AKWJ152osbBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c42005ccb27c251af04d29be653404bfa169bf31757f26682c8067ec448e974","last_reissued_at":"2026-05-18T00:40:40.839189Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:40.839189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.05253","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l0N6FXoT6/6AXaGZIROe+KV/kNSg5By97VvG9AO04Ra4uEhk0gpDwafneNhDIWIOY6itBO6b2lmeBnKmr57fBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T06:10:18.329350Z"},"content_sha256":"a7af54e2d7cc8aa4a6494509996ab7c38623a725632bb7bc1a7d88bdc0a28e12","schema_version":"1.0","event_id":"sha256:a7af54e2d7cc8aa4a6494509996ab7c38623a725632bb7bc1a7d88bdc0a28e12"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:DRBAAXGLE7BFDLYE2KN6MU2AJP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strict upper and lower bounds for quantities of interest in static response sensitivity analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Hongzhi Zhong, Mengwu Guo","submitted_at":"2016-11-16T12:29:09Z","abstract_excerpt":"In this paper, a goal-oriented error estimation technique for static response sensitivity analysis is proposed based on the constitutive relation error (CRE) estimation for finite element analysis (FEA). Strict upper and lower bounds of various quantities of interest (QoI) that are associated with the response sensitivity derivative fields are acquired. Numerical results are presented to assess the strict bounding properties of the proposed technique."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.05253","kind":"arxiv","version":2},"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":"2026-05-18T00:40:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ju8WPJ/PkeDLF802Ut4UWGAiBJfk0BFm0gpnSzOchGV5te6XOegjk+qXHQVkX9u70TcDV4j6VKx6twT6HUe7Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T06:10:18.329717Z"},"content_sha256":"fa3a7c2cb78eabeb78070ec8d8159fbc585c3580757c930447a5ef90631eea9e","schema_version":"1.0","event_id":"sha256:fa3a7c2cb78eabeb78070ec8d8159fbc585c3580757c930447a5ef90631eea9e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DRBAAXGLE7BFDLYE2KN6MU2AJP/bundle.json","state_url":"https://pith.science/pith/DRBAAXGLE7BFDLYE2KN6MU2AJP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DRBAAXGLE7BFDLYE2KN6MU2AJP/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":"2026-06-20T06:10:18Z","links":{"resolver":"https://pith.science/pith/DRBAAXGLE7BFDLYE2KN6MU2AJP","bundle":"https://pith.science/pith/DRBAAXGLE7BFDLYE2KN6MU2AJP/bundle.json","state":"https://pith.science/pith/DRBAAXGLE7BFDLYE2KN6MU2AJP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DRBAAXGLE7BFDLYE2KN6MU2AJP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DRBAAXGLE7BFDLYE2KN6MU2AJP","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":"5c2893418a98c404515b391cca5a8f700cc07412a7bea90483dce0204b528605","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-11-16T12:29:09Z","title_canon_sha256":"6c4212f57c303f6baccee8124100f95be26ce59e7a99003efac646cc881af311"},"schema_version":"1.0","source":{"id":"1611.05253","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.05253","created_at":"2026-05-18T00:40:40Z"},{"alias_kind":"arxiv_version","alias_value":"1611.05253v2","created_at":"2026-05-18T00:40:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.05253","created_at":"2026-05-18T00:40:40Z"},{"alias_kind":"pith_short_12","alias_value":"DRBAAXGLE7BF","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DRBAAXGLE7BFDLYE","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DRBAAXGL","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:fa3a7c2cb78eabeb78070ec8d8159fbc585c3580757c930447a5ef90631eea9e","target":"graph","created_at":"2026-05-18T00:40:40Z","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 this paper, a goal-oriented error estimation technique for static response sensitivity analysis is proposed based on the constitutive relation error (CRE) estimation for finite element analysis (FEA). Strict upper and lower bounds of various quantities of interest (QoI) that are associated with the response sensitivity derivative fields are acquired. Numerical results are presented to assess the strict bounding properties of the proposed technique.","authors_text":"Hongzhi Zhong, Mengwu Guo","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-11-16T12:29:09Z","title":"Strict upper and lower bounds for quantities of interest in static response sensitivity analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.05253","kind":"arxiv","version":2},"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:a7af54e2d7cc8aa4a6494509996ab7c38623a725632bb7bc1a7d88bdc0a28e12","target":"record","created_at":"2026-05-18T00:40:40Z","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":"5c2893418a98c404515b391cca5a8f700cc07412a7bea90483dce0204b528605","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-11-16T12:29:09Z","title_canon_sha256":"6c4212f57c303f6baccee8124100f95be26ce59e7a99003efac646cc881af311"},"schema_version":"1.0","source":{"id":"1611.05253","kind":"arxiv","version":2}},"canonical_sha256":"1c42005ccb27c251af04d29be653404bfa169bf31757f26682c8067ec448e974","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c42005ccb27c251af04d29be653404bfa169bf31757f26682c8067ec448e974","first_computed_at":"2026-05-18T00:40:40.839189Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:40.839189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XFzQPXgkjY6/7M56oy3DlgogsGKMqUJlZjk75VQHCqRVbW33R6FLwtxLt3wKi1uuXF3P6bXin8AKWJ152osbBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:40.839857Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.05253","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a7af54e2d7cc8aa4a6494509996ab7c38623a725632bb7bc1a7d88bdc0a28e12","sha256:fa3a7c2cb78eabeb78070ec8d8159fbc585c3580757c930447a5ef90631eea9e"],"state_sha256":"e07647296a050d1ebb1e2b4b21d739cd0d7517e0cbc8fbd7d0679a108974f38a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H7SJB09TGK97YlnoIKvaYD2wSaJPKDd7USv2r0jbSs2jm0TH+8p/Cjtv7XP5ILAhcDn12Y5bo7tHcJ4QQ8oqCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T06:10:18.331721Z","bundle_sha256":"47e7d37f55ad817c6f8d88aba803e887c67087d7fea94e8ac6f6a91d91774e58"}}