{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:EL5M6TRAYKUWHOTDS5PX3DPOHD","short_pith_number":"pith:EL5M6TRA","schema_version":"1.0","canonical_sha256":"22facf4e20c2a963ba63975f7d8dee38d13bce09eee4991f18ab928b101d61eb","source":{"kind":"arxiv","id":"1904.02083","version":1},"attestation_state":"computed","paper":{"title":"Dynamic perfect plasticity and damage in viscoelastic solids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Elisa Davoli, Tom\\'a\\v{s} Roub\\'i\\v{c}ek, Ulisse Stefanelli","submitted_at":"2019-04-03T16:22:48Z","abstract_excerpt":"In this paper we analyze an isothermal and isotropic model for viscoelastic media combining linearized perfect plasticity (allowing for concentration of plastic strain and development of shear bands) and damage effects in a dynamic setting. The interplay between the viscoelastic rheology with inertia, elasto-plasticity, and unidirectional rate-dependent incomplete damage affecting both the elastic and viscous response, as well as the plastic yield stress, is rigorously characterized by showing existence of weak solutions to the constitutive and balance equations of the model. The analysis reli"},"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":"1904.02083","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-04-03T16:22:48Z","cross_cats_sorted":[],"title_canon_sha256":"efa7cfd8eb372fce20f2df9608734f5fd06b2cfa0f09dfe7e3caa6e7814aed1b","abstract_canon_sha256":"59a313b14e2b11a576af88ca4dc5a8387bb57b690dc11b39e4f30895bc32728f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:28.510159Z","signature_b64":"dDSoSgriZQ3pM38nc+6Tp0DogGus5ZS8GhrvdmjKKTTYQesOWslWBGF8uLL06bVmJ41JMKstF0VWn+2KzqGnAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22facf4e20c2a963ba63975f7d8dee38d13bce09eee4991f18ab928b101d61eb","last_reissued_at":"2026-05-17T23:49:28.509662Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:28.509662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamic perfect plasticity and damage in viscoelastic solids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Elisa Davoli, Tom\\'a\\v{s} Roub\\'i\\v{c}ek, Ulisse Stefanelli","submitted_at":"2019-04-03T16:22:48Z","abstract_excerpt":"In this paper we analyze an isothermal and isotropic model for viscoelastic media combining linearized perfect plasticity (allowing for concentration of plastic strain and development of shear bands) and damage effects in a dynamic setting. The interplay between the viscoelastic rheology with inertia, elasto-plasticity, and unidirectional rate-dependent incomplete damage affecting both the elastic and viscous response, as well as the plastic yield stress, is rigorously characterized by showing existence of weak solutions to the constitutive and balance equations of the model. The analysis reli"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.02083","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":"1904.02083","created_at":"2026-05-17T23:49:28.509746+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.02083v1","created_at":"2026-05-17T23:49:28.509746+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.02083","created_at":"2026-05-17T23:49:28.509746+00:00"},{"alias_kind":"pith_short_12","alias_value":"EL5M6TRAYKUW","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_16","alias_value":"EL5M6TRAYKUWHOTD","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_8","alias_value":"EL5M6TRA","created_at":"2026-05-18T12:33:15.570797+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/EL5M6TRAYKUWHOTDS5PX3DPOHD","json":"https://pith.science/pith/EL5M6TRAYKUWHOTDS5PX3DPOHD.json","graph_json":"https://pith.science/api/pith-number/EL5M6TRAYKUWHOTDS5PX3DPOHD/graph.json","events_json":"https://pith.science/api/pith-number/EL5M6TRAYKUWHOTDS5PX3DPOHD/events.json","paper":"https://pith.science/paper/EL5M6TRA"},"agent_actions":{"view_html":"https://pith.science/pith/EL5M6TRAYKUWHOTDS5PX3DPOHD","download_json":"https://pith.science/pith/EL5M6TRAYKUWHOTDS5PX3DPOHD.json","view_paper":"https://pith.science/paper/EL5M6TRA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.02083&json=true","fetch_graph":"https://pith.science/api/pith-number/EL5M6TRAYKUWHOTDS5PX3DPOHD/graph.json","fetch_events":"https://pith.science/api/pith-number/EL5M6TRAYKUWHOTDS5PX3DPOHD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EL5M6TRAYKUWHOTDS5PX3DPOHD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EL5M6TRAYKUWHOTDS5PX3DPOHD/action/storage_attestation","attest_author":"https://pith.science/pith/EL5M6TRAYKUWHOTDS5PX3DPOHD/action/author_attestation","sign_citation":"https://pith.science/pith/EL5M6TRAYKUWHOTDS5PX3DPOHD/action/citation_signature","submit_replication":"https://pith.science/pith/EL5M6TRAYKUWHOTDS5PX3DPOHD/action/replication_record"}},"created_at":"2026-05-17T23:49:28.509746+00:00","updated_at":"2026-05-17T23:49:28.509746+00:00"}