{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:NNZ35HXYMSP4NO23XYY6UMZFYJ","short_pith_number":"pith:NNZ35HXY","schema_version":"1.0","canonical_sha256":"6b73be9ef8649fc6bb5bbe31ea3325c24c3ddb3915d3d918e84ca81f430849eb","source":{"kind":"arxiv","id":"1701.04309","version":1},"attestation_state":"computed","paper":{"title":"Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jean-Fran\\c{c}ois Babadjian, Maria Giovanna Mora","submitted_at":"2017-01-16T14:45:13Z","abstract_excerpt":"This work is devoted to establishing a regularity result for the stress tensor in quasi-static planar isotropic linearly elastic - perfectly plastic materials obeying a Drucker-Prager or Mohr-Coulomb yield criterion. Under suitable assumptions on the data, it is proved that the stress tensor has a spatial gradient that is locally squared integrable. As a corollary, the usual measure theoretical flow rule is expressed in a strong form using the quasi-continuous representative of the stress."},"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":"1701.04309","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-16T14:45:13Z","cross_cats_sorted":[],"title_canon_sha256":"60789fffb6a5f8199aa99297e918df2335ab4beee1ed87eec79314a4d815f63a","abstract_canon_sha256":"ee60114c77589730e397917931a666ef6c0eee12fd511eefeb4403ff6c0d61c5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:47.156288Z","signature_b64":"cv4yzxUpQEMmtWuTSIo7umh8cAfhSXHfe3WTjXNr4apctPsOrjJADcLja7LyT6zswqikQNpzy8xuJoS43Tn5Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b73be9ef8649fc6bb5bbe31ea3325c24c3ddb3915d3d918e84ca81f430849eb","last_reissued_at":"2026-05-18T00:52:47.155425Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:47.155425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jean-Fran\\c{c}ois Babadjian, Maria Giovanna Mora","submitted_at":"2017-01-16T14:45:13Z","abstract_excerpt":"This work is devoted to establishing a regularity result for the stress tensor in quasi-static planar isotropic linearly elastic - perfectly plastic materials obeying a Drucker-Prager or Mohr-Coulomb yield criterion. Under suitable assumptions on the data, it is proved that the stress tensor has a spatial gradient that is locally squared integrable. As a corollary, the usual measure theoretical flow rule is expressed in a strong form using the quasi-continuous representative of the stress."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04309","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":"1701.04309","created_at":"2026-05-18T00:52:47.155580+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.04309v1","created_at":"2026-05-18T00:52:47.155580+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04309","created_at":"2026-05-18T00:52:47.155580+00:00"},{"alias_kind":"pith_short_12","alias_value":"NNZ35HXYMSP4","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_16","alias_value":"NNZ35HXYMSP4NO23","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_8","alias_value":"NNZ35HXY","created_at":"2026-05-18T12:31:34.259226+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/NNZ35HXYMSP4NO23XYY6UMZFYJ","json":"https://pith.science/pith/NNZ35HXYMSP4NO23XYY6UMZFYJ.json","graph_json":"https://pith.science/api/pith-number/NNZ35HXYMSP4NO23XYY6UMZFYJ/graph.json","events_json":"https://pith.science/api/pith-number/NNZ35HXYMSP4NO23XYY6UMZFYJ/events.json","paper":"https://pith.science/paper/NNZ35HXY"},"agent_actions":{"view_html":"https://pith.science/pith/NNZ35HXYMSP4NO23XYY6UMZFYJ","download_json":"https://pith.science/pith/NNZ35HXYMSP4NO23XYY6UMZFYJ.json","view_paper":"https://pith.science/paper/NNZ35HXY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.04309&json=true","fetch_graph":"https://pith.science/api/pith-number/NNZ35HXYMSP4NO23XYY6UMZFYJ/graph.json","fetch_events":"https://pith.science/api/pith-number/NNZ35HXYMSP4NO23XYY6UMZFYJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NNZ35HXYMSP4NO23XYY6UMZFYJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NNZ35HXYMSP4NO23XYY6UMZFYJ/action/storage_attestation","attest_author":"https://pith.science/pith/NNZ35HXYMSP4NO23XYY6UMZFYJ/action/author_attestation","sign_citation":"https://pith.science/pith/NNZ35HXYMSP4NO23XYY6UMZFYJ/action/citation_signature","submit_replication":"https://pith.science/pith/NNZ35HXYMSP4NO23XYY6UMZFYJ/action/replication_record"}},"created_at":"2026-05-18T00:52:47.155580+00:00","updated_at":"2026-05-18T00:52:47.155580+00:00"}