{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:PJ4YTAPCC4EWCZHUY3WDQZCYIG","short_pith_number":"pith:PJ4YTAPC","schema_version":"1.0","canonical_sha256":"7a798981e217096164f4c6ec38645841be87f31c33d7bfad134455f1f342af7d","source":{"kind":"arxiv","id":"1509.08681","version":1},"attestation_state":"computed","paper":{"title":"Finite plasticity in $P^T P$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Diego Grandi, Ulisse Stefanelli","submitted_at":"2015-09-29T10:47:33Z","abstract_excerpt":"We discuss a finite-plasticity model based on the symmetric tensor $P^T P$ instead of the classical plastic strain $P$. Such a model structure arises from assuming that the material behavior is invariant with respect to frame transformations of the intermediate configuration. The resulting variational model is lower-dimensional, symmetric, and based solely on the reference configuration. We discuss the existence of energetic solutions both at the material-point level and for the quasistatic boundary-value problem. These solutions are constructed as limits of time discretizations. Eventually, t"},"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":"1509.08681","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-09-29T10:47:33Z","cross_cats_sorted":["math.AP","math.MP"],"title_canon_sha256":"b0c25a3ab3456e8ad8d489e37ec4d9c8830cec81bd56bf5859e4ca6481e69ac3","abstract_canon_sha256":"254d7b6aca52e66c6767a4924a2ad41ed8af31c4cac2f298171367338dbdbdf2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:47.321097Z","signature_b64":"XKVgr/j+GuejOhMK4mmPFETnHV9QjoVd/WuiP8LPRBUXps1MYpVbvt2nt+fd8Jq0KuNdkp+vbmb+qOq+r1vfCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a798981e217096164f4c6ec38645841be87f31c33d7bfad134455f1f342af7d","last_reissued_at":"2026-05-18T01:31:47.320653Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:47.320653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finite plasticity in $P^T P$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Diego Grandi, Ulisse Stefanelli","submitted_at":"2015-09-29T10:47:33Z","abstract_excerpt":"We discuss a finite-plasticity model based on the symmetric tensor $P^T P$ instead of the classical plastic strain $P$. Such a model structure arises from assuming that the material behavior is invariant with respect to frame transformations of the intermediate configuration. The resulting variational model is lower-dimensional, symmetric, and based solely on the reference configuration. We discuss the existence of energetic solutions both at the material-point level and for the quasistatic boundary-value problem. These solutions are constructed as limits of time discretizations. Eventually, t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08681","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":""},"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":"1509.08681","created_at":"2026-05-18T01:31:47.320724+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.08681v1","created_at":"2026-05-18T01:31:47.320724+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08681","created_at":"2026-05-18T01:31:47.320724+00:00"},{"alias_kind":"pith_short_12","alias_value":"PJ4YTAPCC4EW","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_16","alias_value":"PJ4YTAPCC4EWCZHU","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_8","alias_value":"PJ4YTAPC","created_at":"2026-05-18T12:29:37.295048+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/PJ4YTAPCC4EWCZHUY3WDQZCYIG","json":"https://pith.science/pith/PJ4YTAPCC4EWCZHUY3WDQZCYIG.json","graph_json":"https://pith.science/api/pith-number/PJ4YTAPCC4EWCZHUY3WDQZCYIG/graph.json","events_json":"https://pith.science/api/pith-number/PJ4YTAPCC4EWCZHUY3WDQZCYIG/events.json","paper":"https://pith.science/paper/PJ4YTAPC"},"agent_actions":{"view_html":"https://pith.science/pith/PJ4YTAPCC4EWCZHUY3WDQZCYIG","download_json":"https://pith.science/pith/PJ4YTAPCC4EWCZHUY3WDQZCYIG.json","view_paper":"https://pith.science/paper/PJ4YTAPC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.08681&json=true","fetch_graph":"https://pith.science/api/pith-number/PJ4YTAPCC4EWCZHUY3WDQZCYIG/graph.json","fetch_events":"https://pith.science/api/pith-number/PJ4YTAPCC4EWCZHUY3WDQZCYIG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PJ4YTAPCC4EWCZHUY3WDQZCYIG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PJ4YTAPCC4EWCZHUY3WDQZCYIG/action/storage_attestation","attest_author":"https://pith.science/pith/PJ4YTAPCC4EWCZHUY3WDQZCYIG/action/author_attestation","sign_citation":"https://pith.science/pith/PJ4YTAPCC4EWCZHUY3WDQZCYIG/action/citation_signature","submit_replication":"https://pith.science/pith/PJ4YTAPCC4EWCZHUY3WDQZCYIG/action/replication_record"}},"created_at":"2026-05-18T01:31:47.320724+00:00","updated_at":"2026-05-18T01:31:47.320724+00:00"}