{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:EGCEABPUIMXWPPCBDJIO5RMZTX","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":"d44e7c9757f113c1a2aaab696fa40e38a4a70140a693c67b9e36b2d8df79e636","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-12-06T05:19:46Z","title_canon_sha256":"28948ae4092879e50bce0e75c02fa367d86a158e5b95a3c7ccf7e0bf22b6254b"},"schema_version":"1.0","source":{"id":"1912.02978","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.02978","created_at":"2026-07-05T00:56:40Z"},{"alias_kind":"arxiv_version","alias_value":"1912.02978v2","created_at":"2026-07-05T00:56:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.02978","created_at":"2026-07-05T00:56:40Z"},{"alias_kind":"pith_short_12","alias_value":"EGCEABPUIMXW","created_at":"2026-07-05T00:56:40Z"},{"alias_kind":"pith_short_16","alias_value":"EGCEABPUIMXWPPCB","created_at":"2026-07-05T00:56:40Z"},{"alias_kind":"pith_short_8","alias_value":"EGCEABPU","created_at":"2026-07-05T00:56:40Z"}],"graph_snapshots":[{"event_id":"sha256:d0d4373b0848376a055cbf3e1d96f0fee4416d8c1f2f7a263e5171d22cdc41b6","target":"graph","created_at":"2026-07-05T00:56:40Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1912.02978/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We extend to finite elasticity the Data-Driven formulation of geometrically linear elasticity presented in Conti, M\\\"uller, Ortiz, Arch.\\ Ration.\\ Mech.\\ Anal.\\ 229, 79-123, 2018. The main focus of this paper concerns the formulation of a suitable framework in which the Data-Driven problem of finite elasticity is well-posed in the sense of existence of solutions. We confine attention to deformation gradients $F \\in L^p(\\Omega;\\mathbb{R}^{n\\times n})$ and first Piola-Kirchhoff stresses $P \\in L^q(\\Omega;\\mathbb{R}^{n\\times n})$, with $(p,q)\\in(1,\\infty)$ and $1/p+1/q=1$. We assume that the mate","authors_text":"Michael Ortiz, Sergio Conti, Stefan M\\\"uller","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-12-06T05:19:46Z","title":"Data-Driven Finite Elasticity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.02978","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:f55ec924981f153cde273d167be81c7a902d705440ffeb3d32754be24d5bb42d","target":"record","created_at":"2026-07-05T00:56:40Z","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":"d44e7c9757f113c1a2aaab696fa40e38a4a70140a693c67b9e36b2d8df79e636","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-12-06T05:19:46Z","title_canon_sha256":"28948ae4092879e50bce0e75c02fa367d86a158e5b95a3c7ccf7e0bf22b6254b"},"schema_version":"1.0","source":{"id":"1912.02978","kind":"arxiv","version":2}},"canonical_sha256":"21844005f4432f67bc411a50eec5999df924007c54acc57267ee2e3997e29e46","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21844005f4432f67bc411a50eec5999df924007c54acc57267ee2e3997e29e46","first_computed_at":"2026-07-05T00:56:40.095615Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:56:40.095615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WJrX9Slu7g4UptHpMF7gtMnZpRGlR5O47y+YgmK55umKjvusdS0DkJQOsoEi46iUegNnp0LJwGJnN02JpM+bCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:56:40.096082Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.02978","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f55ec924981f153cde273d167be81c7a902d705440ffeb3d32754be24d5bb42d","sha256:d0d4373b0848376a055cbf3e1d96f0fee4416d8c1f2f7a263e5171d22cdc41b6"],"state_sha256":"b7be2a175da4d2544ecbe9bec90ed930c2632578ed2926171b97e5a15cd9ac0c"}