{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:CTD2JZNNUJN6LL23SCG6JR62WR","short_pith_number":"pith:CTD2JZNN","schema_version":"1.0","canonical_sha256":"14c7a4e5ada25be5af5b908de4c7dab47fac2369b641d33ee76d9a86ce2af1dc","source":{"kind":"arxiv","id":"1706.04055","version":5},"attestation_state":"computed","paper":{"title":"A note on locking materials and gradient polyconvexity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Anja Schl\\\"omerkemper, Barbora Bene\\v{s}ov\\'a, Martin Kru\\v{z}\\'ik","submitted_at":"2017-06-13T13:36:45Z","abstract_excerpt":"We use gradient Young measures generated by Lipschitz maps to define a relaxation of integral functionals which are allowed to attain the value $+\\infty$ and can model ideal locking in elasticity as defined by Prager in 1957. Furthermore, we show the existence of minimizers for variational problems for elastic materials with energy densities that can be expressed in terms of a function being continuous in the deformation gradient and convex in the gradient of the cofactor (and possibly also the gradient of the determinant) of the corresponding deformation gradient. We call the related energy f"},"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":"1706.04055","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-13T13:36:45Z","cross_cats_sorted":[],"title_canon_sha256":"31bd246e81faa884deb804d6fcb332842dae3ce43d952e8fbb3a856b335113a0","abstract_canon_sha256":"a0bca17a7985ad975c53e219d09e7685b6e6763af7a2a082f34658ad3c3918bb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:34.568714Z","signature_b64":"kZrq12aRBxSeTKRHRZwKb/bvK7rJ/dUBvAhZ5iJfDV8cCysxrPdfcFKucldLgVvzvr10YJiEiXwWuQHnjUi3Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"14c7a4e5ada25be5af5b908de4c7dab47fac2369b641d33ee76d9a86ce2af1dc","last_reissued_at":"2026-05-18T00:14:34.568082Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:34.568082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on locking materials and gradient polyconvexity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Anja Schl\\\"omerkemper, Barbora Bene\\v{s}ov\\'a, Martin Kru\\v{z}\\'ik","submitted_at":"2017-06-13T13:36:45Z","abstract_excerpt":"We use gradient Young measures generated by Lipschitz maps to define a relaxation of integral functionals which are allowed to attain the value $+\\infty$ and can model ideal locking in elasticity as defined by Prager in 1957. Furthermore, we show the existence of minimizers for variational problems for elastic materials with energy densities that can be expressed in terms of a function being continuous in the deformation gradient and convex in the gradient of the cofactor (and possibly also the gradient of the determinant) of the corresponding deformation gradient. We call the related energy f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.04055","kind":"arxiv","version":5},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1706.04055","created_at":"2026-05-18T00:14:34.568167+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.04055v5","created_at":"2026-05-18T00:14:34.568167+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.04055","created_at":"2026-05-18T00:14:34.568167+00:00"},{"alias_kind":"pith_short_12","alias_value":"CTD2JZNNUJN6","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"CTD2JZNNUJN6LL23","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"CTD2JZNN","created_at":"2026-05-18T12:31:10.602751+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/CTD2JZNNUJN6LL23SCG6JR62WR","json":"https://pith.science/pith/CTD2JZNNUJN6LL23SCG6JR62WR.json","graph_json":"https://pith.science/api/pith-number/CTD2JZNNUJN6LL23SCG6JR62WR/graph.json","events_json":"https://pith.science/api/pith-number/CTD2JZNNUJN6LL23SCG6JR62WR/events.json","paper":"https://pith.science/paper/CTD2JZNN"},"agent_actions":{"view_html":"https://pith.science/pith/CTD2JZNNUJN6LL23SCG6JR62WR","download_json":"https://pith.science/pith/CTD2JZNNUJN6LL23SCG6JR62WR.json","view_paper":"https://pith.science/paper/CTD2JZNN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.04055&json=true","fetch_graph":"https://pith.science/api/pith-number/CTD2JZNNUJN6LL23SCG6JR62WR/graph.json","fetch_events":"https://pith.science/api/pith-number/CTD2JZNNUJN6LL23SCG6JR62WR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CTD2JZNNUJN6LL23SCG6JR62WR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CTD2JZNNUJN6LL23SCG6JR62WR/action/storage_attestation","attest_author":"https://pith.science/pith/CTD2JZNNUJN6LL23SCG6JR62WR/action/author_attestation","sign_citation":"https://pith.science/pith/CTD2JZNNUJN6LL23SCG6JR62WR/action/citation_signature","submit_replication":"https://pith.science/pith/CTD2JZNNUJN6LL23SCG6JR62WR/action/replication_record"}},"created_at":"2026-05-18T00:14:34.568167+00:00","updated_at":"2026-05-18T00:14:34.568167+00:00"}