{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:VZA3I3NUJQRCSMTL4W5TKJJGU2","short_pith_number":"pith:VZA3I3NU","schema_version":"1.0","canonical_sha256":"ae41b46db44c2229326be5bb352526a6a3e4c1ce2f5787bf8e673a53f3dfef13","source":{"kind":"arxiv","id":"2402.15966","version":4},"attestation_state":"computed","paper":{"title":"Data-driven micromorphic mechanics for materials with strain localization","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Jacinto Ulloa, Jos\\'e E. Andrade, Laurent Stainier, Michael Ortiz","submitted_at":"2024-02-25T02:59:14Z","abstract_excerpt":"This paper explores the role of generalized continuum mechanics, and the feasibility of model-free data-driven computing approaches thereof, in solids undergoing failure by strain localization. Specifically, we set forth a methodology for capturing material instabilities using data-driven mechanics without prior information regarding the failure mode. We show numerically that, in problems involving strain localization, the standard data-driven framework for Cauchy/Boltzmann continua fails to capture the length scale of the material, as expected. We address this shortcoming by formulating a gen"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2402.15966","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2024-02-25T02:59:14Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"fa46659f5e7c2ec89be93ebf6b28cf9b07b0dcac961d8f1318c371b458f42b2e","abstract_canon_sha256":"17d87e40bd337724fb5a49c274263b3b2e4cc956a90967c4ba99c1885bd32d93"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:23:18.555471Z","signature_b64":"TB+91WszjKvy3uGvxacaFf3BcOvibCfL7ftyYxruwAbFrIuGaqa2MfSgAeeIh5AwR3pjxqIdmvRzv1B4dG4hAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae41b46db44c2229326be5bb352526a6a3e4c1ce2f5787bf8e673a53f3dfef13","last_reissued_at":"2026-07-05T10:23:18.554862Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:23:18.554862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Data-driven micromorphic mechanics for materials with strain localization","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Jacinto Ulloa, Jos\\'e E. Andrade, Laurent Stainier, Michael Ortiz","submitted_at":"2024-02-25T02:59:14Z","abstract_excerpt":"This paper explores the role of generalized continuum mechanics, and the feasibility of model-free data-driven computing approaches thereof, in solids undergoing failure by strain localization. Specifically, we set forth a methodology for capturing material instabilities using data-driven mechanics without prior information regarding the failure mode. We show numerically that, in problems involving strain localization, the standard data-driven framework for Cauchy/Boltzmann continua fails to capture the length scale of the material, as expected. We address this shortcoming by formulating a gen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.15966","kind":"arxiv","version":4},"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/2402.15966/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2402.15966","created_at":"2026-07-05T10:23:18.554936+00:00"},{"alias_kind":"arxiv_version","alias_value":"2402.15966v4","created_at":"2026-07-05T10:23:18.554936+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.15966","created_at":"2026-07-05T10:23:18.554936+00:00"},{"alias_kind":"pith_short_12","alias_value":"VZA3I3NUJQRC","created_at":"2026-07-05T10:23:18.554936+00:00"},{"alias_kind":"pith_short_16","alias_value":"VZA3I3NUJQRCSMTL","created_at":"2026-07-05T10:23:18.554936+00:00"},{"alias_kind":"pith_short_8","alias_value":"VZA3I3NU","created_at":"2026-07-05T10:23:18.554936+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VZA3I3NUJQRCSMTL4W5TKJJGU2","json":"https://pith.science/pith/VZA3I3NUJQRCSMTL4W5TKJJGU2.json","graph_json":"https://pith.science/api/pith-number/VZA3I3NUJQRCSMTL4W5TKJJGU2/graph.json","events_json":"https://pith.science/api/pith-number/VZA3I3NUJQRCSMTL4W5TKJJGU2/events.json","paper":"https://pith.science/paper/VZA3I3NU"},"agent_actions":{"view_html":"https://pith.science/pith/VZA3I3NUJQRCSMTL4W5TKJJGU2","download_json":"https://pith.science/pith/VZA3I3NUJQRCSMTL4W5TKJJGU2.json","view_paper":"https://pith.science/paper/VZA3I3NU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2402.15966&json=true","fetch_graph":"https://pith.science/api/pith-number/VZA3I3NUJQRCSMTL4W5TKJJGU2/graph.json","fetch_events":"https://pith.science/api/pith-number/VZA3I3NUJQRCSMTL4W5TKJJGU2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VZA3I3NUJQRCSMTL4W5TKJJGU2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VZA3I3NUJQRCSMTL4W5TKJJGU2/action/storage_attestation","attest_author":"https://pith.science/pith/VZA3I3NUJQRCSMTL4W5TKJJGU2/action/author_attestation","sign_citation":"https://pith.science/pith/VZA3I3NUJQRCSMTL4W5TKJJGU2/action/citation_signature","submit_replication":"https://pith.science/pith/VZA3I3NUJQRCSMTL4W5TKJJGU2/action/replication_record"}},"created_at":"2026-07-05T10:23:18.554936+00:00","updated_at":"2026-07-05T10:23:18.554936+00:00"}