{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:EW4VLMLKLCB2IJX3UYBMHP6AGB","short_pith_number":"pith:EW4VLMLK","canonical_record":{"source":{"id":"2006.12927","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2020-06-23T12:05:00Z","cross_cats_sorted":[],"title_canon_sha256":"ecdf7c986e42a59ad58d7f20aade187e20edc17e030bc967706b8584e832714b","abstract_canon_sha256":"f51751f8cf1e0d384bd6f787d2485257681637e0bffa2a3c4f6611cdb5feb297"},"schema_version":"1.0"},"canonical_sha256":"25b955b16a5883a426fba602c3bfc0304735f2028723693b479d83848a3a287f","source":{"kind":"arxiv","id":"2006.12927","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.12927","created_at":"2026-07-05T02:01:13Z"},{"alias_kind":"arxiv_version","alias_value":"2006.12927v1","created_at":"2026-07-05T02:01:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.12927","created_at":"2026-07-05T02:01:13Z"},{"alias_kind":"pith_short_12","alias_value":"EW4VLMLKLCB2","created_at":"2026-07-05T02:01:13Z"},{"alias_kind":"pith_short_16","alias_value":"EW4VLMLKLCB2IJX3","created_at":"2026-07-05T02:01:13Z"},{"alias_kind":"pith_short_8","alias_value":"EW4VLMLK","created_at":"2026-07-05T02:01:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:EW4VLMLKLCB2IJX3UYBMHP6AGB","target":"record","payload":{"canonical_record":{"source":{"id":"2006.12927","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2020-06-23T12:05:00Z","cross_cats_sorted":[],"title_canon_sha256":"ecdf7c986e42a59ad58d7f20aade187e20edc17e030bc967706b8584e832714b","abstract_canon_sha256":"f51751f8cf1e0d384bd6f787d2485257681637e0bffa2a3c4f6611cdb5feb297"},"schema_version":"1.0"},"canonical_sha256":"25b955b16a5883a426fba602c3bfc0304735f2028723693b479d83848a3a287f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:01:13.051076Z","signature_b64":"g1eSPcwhBmbO5E/OzdIeD9jimNBxBJ7ANDrqm0kUyOoTCsPvTyki2xdYOC4EJ3lJOdSGFuuAXykKnZx8nbwZAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25b955b16a5883a426fba602c3bfc0304735f2028723693b479d83848a3a287f","last_reissued_at":"2026-07-05T02:01:13.050732Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:01:13.050732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2006.12927","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":"2026-07-05T02:01:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T4JkidxwefPiDLLr4YaUZfErT2Gd8iQOl4CHU3W+pXGwqfAtpsNLGqrjQbSu631q4DFLsBnJiPtcz5cxW0c0DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T05:18:57.792562Z"},"content_sha256":"5be56dd9ca762fff791008d41df49b1df66c5e0f66c92d018f560f375d5894b0","schema_version":"1.0","event_id":"sha256:5be56dd9ca762fff791008d41df49b1df66c5e0f66c92d018f560f375d5894b0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:EW4VLMLKLCB2IJX3UYBMHP6AGB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large scale three-dimensional manufacturing tolerant stress-constrained topology optimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CE","authors_text":"Andr\\'e Te\\'ofilo Beck, Gustavo Assis da Silva, Niels Aage, Ole Sigmund","submitted_at":"2020-06-23T12:05:00Z","abstract_excerpt":"In topology optimization, the treatment of stress constraints for very large scale problems has so far not been tractable due to the failure of robust agglomeration methods, i.e. their inability to accurately handle the locality of the stress constraints. This paper presents a three-dimensional design methodology that alleviates this shortcoming using both deterministic and robust problem formulations. The robust formulation, based on the three-field density projection approach, is extended to handle manufacturing uncertainty in three-dimensional stress-constrained problems. Several numerical "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.12927","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2006.12927/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:01:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WiXWzSmZf0QfUinxJ0nuu8ZnHqNEi0FHglskTmmQ2kx3bDcOIzHxBylq//6RAjpHWoL0NRk7MusTqnIvtSN1Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T05:18:57.793063Z"},"content_sha256":"d722de57593bf9a1e70f647b30215439ad57d37f84220efd2d86e17b7c539460","schema_version":"1.0","event_id":"sha256:d722de57593bf9a1e70f647b30215439ad57d37f84220efd2d86e17b7c539460"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EW4VLMLKLCB2IJX3UYBMHP6AGB/bundle.json","state_url":"https://pith.science/pith/EW4VLMLKLCB2IJX3UYBMHP6AGB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EW4VLMLKLCB2IJX3UYBMHP6AGB/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":"2026-08-04T05:18:57Z","links":{"resolver":"https://pith.science/pith/EW4VLMLKLCB2IJX3UYBMHP6AGB","bundle":"https://pith.science/pith/EW4VLMLKLCB2IJX3UYBMHP6AGB/bundle.json","state":"https://pith.science/pith/EW4VLMLKLCB2IJX3UYBMHP6AGB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EW4VLMLKLCB2IJX3UYBMHP6AGB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:EW4VLMLKLCB2IJX3UYBMHP6AGB","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":"f51751f8cf1e0d384bd6f787d2485257681637e0bffa2a3c4f6611cdb5feb297","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2020-06-23T12:05:00Z","title_canon_sha256":"ecdf7c986e42a59ad58d7f20aade187e20edc17e030bc967706b8584e832714b"},"schema_version":"1.0","source":{"id":"2006.12927","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.12927","created_at":"2026-07-05T02:01:13Z"},{"alias_kind":"arxiv_version","alias_value":"2006.12927v1","created_at":"2026-07-05T02:01:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.12927","created_at":"2026-07-05T02:01:13Z"},{"alias_kind":"pith_short_12","alias_value":"EW4VLMLKLCB2","created_at":"2026-07-05T02:01:13Z"},{"alias_kind":"pith_short_16","alias_value":"EW4VLMLKLCB2IJX3","created_at":"2026-07-05T02:01:13Z"},{"alias_kind":"pith_short_8","alias_value":"EW4VLMLK","created_at":"2026-07-05T02:01:13Z"}],"graph_snapshots":[{"event_id":"sha256:d722de57593bf9a1e70f647b30215439ad57d37f84220efd2d86e17b7c539460","target":"graph","created_at":"2026-07-05T02:01:13Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2006.12927/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In topology optimization, the treatment of stress constraints for very large scale problems has so far not been tractable due to the failure of robust agglomeration methods, i.e. their inability to accurately handle the locality of the stress constraints. This paper presents a three-dimensional design methodology that alleviates this shortcoming using both deterministic and robust problem formulations. The robust formulation, based on the three-field density projection approach, is extended to handle manufacturing uncertainty in three-dimensional stress-constrained problems. Several numerical ","authors_text":"Andr\\'e Te\\'ofilo Beck, Gustavo Assis da Silva, Niels Aage, Ole Sigmund","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2020-06-23T12:05:00Z","title":"Large scale three-dimensional manufacturing tolerant stress-constrained topology optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.12927","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":"sha256:5be56dd9ca762fff791008d41df49b1df66c5e0f66c92d018f560f375d5894b0","target":"record","created_at":"2026-07-05T02:01:13Z","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":"f51751f8cf1e0d384bd6f787d2485257681637e0bffa2a3c4f6611cdb5feb297","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2020-06-23T12:05:00Z","title_canon_sha256":"ecdf7c986e42a59ad58d7f20aade187e20edc17e030bc967706b8584e832714b"},"schema_version":"1.0","source":{"id":"2006.12927","kind":"arxiv","version":1}},"canonical_sha256":"25b955b16a5883a426fba602c3bfc0304735f2028723693b479d83848a3a287f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25b955b16a5883a426fba602c3bfc0304735f2028723693b479d83848a3a287f","first_computed_at":"2026-07-05T02:01:13.050732Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:01:13.050732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g1eSPcwhBmbO5E/OzdIeD9jimNBxBJ7ANDrqm0kUyOoTCsPvTyki2xdYOC4EJ3lJOdSGFuuAXykKnZx8nbwZAA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:01:13.051076Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.12927","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5be56dd9ca762fff791008d41df49b1df66c5e0f66c92d018f560f375d5894b0","sha256:d722de57593bf9a1e70f647b30215439ad57d37f84220efd2d86e17b7c539460"],"state_sha256":"e2b73f2f14e4a56183f331f04a5dd6556148c0e6e3303c08447a0aba79cc7864"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4faCVaIqmiuE0MqNB2IftsJ7bnlzod7XGVLK57dYjs4AHmYUyLct6l67K3wfn4uRIWU16lsJGnPD6ZdUIqLfCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T05:18:57.796462Z","bundle_sha256":"86225fc70abdf16f6b14a27d79c697b9f408630edbef8e80fbb59ac316447598"}}