{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:2OEAHEDSMM6OGRDZVWWTLQACD3","short_pith_number":"pith:2OEAHEDS","schema_version":"1.0","canonical_sha256":"d388039072633ce34479adad35c0021ed60db5ce751b02fbf0f18eabdd8b2555","source":{"kind":"arxiv","id":"1605.02049","version":1},"attestation_state":"computed","paper":{"title":"Multidimensional Thermoelasticity for Nonsimple Materials -- Well-Posedness and Long-Time Behavior","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Andrii Anikushyn, Michael Pokojovy","submitted_at":"2016-05-06T19:24:34Z","abstract_excerpt":"An initial-boundary value problem for the multidimensional type III thermoelaticity for a nonsimple material with a center of symmetry is considered. In the linear case, the well-posedness with and without Kelvin-Voigt and/or frictional damping in the elastic part as well as the lack of exponential stability in the elastically undamped case is proved. Further, a frictional damping for the elastic component is shown to lead to the exponential stability. A Cattaneo-type hyperbolic relaxation for the thermal part is introduced and the well-posedness and uniform stability under a nonlinear frictio"},"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":"1605.02049","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AP","submitted_at":"2016-05-06T19:24:34Z","cross_cats_sorted":[],"title_canon_sha256":"7a99f2c098ffa68dede5849c071347558af2ba807222243f19095db405cd9e4d","abstract_canon_sha256":"5f7eec45b1ee090436a049b4c83e658bae75cdb8040dd515667226ae18a94f39"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:30.450218Z","signature_b64":"5iMzwEjBf6qRY8MpuWgYpXkH2Jg21yBbWpxSOZJYj/eMQPkEbV84Jb4RgY5YmmkwibkBjvgVzpepN7vhgliTDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d388039072633ce34479adad35c0021ed60db5ce751b02fbf0f18eabdd8b2555","last_reissued_at":"2026-05-18T01:15:30.449470Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:30.449470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multidimensional Thermoelasticity for Nonsimple Materials -- Well-Posedness and Long-Time Behavior","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Andrii Anikushyn, Michael Pokojovy","submitted_at":"2016-05-06T19:24:34Z","abstract_excerpt":"An initial-boundary value problem for the multidimensional type III thermoelaticity for a nonsimple material with a center of symmetry is considered. In the linear case, the well-posedness with and without Kelvin-Voigt and/or frictional damping in the elastic part as well as the lack of exponential stability in the elastically undamped case is proved. Further, a frictional damping for the elastic component is shown to lead to the exponential stability. A Cattaneo-type hyperbolic relaxation for the thermal part is introduced and the well-posedness and uniform stability under a nonlinear frictio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02049","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":"1605.02049","created_at":"2026-05-18T01:15:30.449600+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.02049v1","created_at":"2026-05-18T01:15:30.449600+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02049","created_at":"2026-05-18T01:15:30.449600+00:00"},{"alias_kind":"pith_short_12","alias_value":"2OEAHEDSMM6O","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_16","alias_value":"2OEAHEDSMM6OGRDZ","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_8","alias_value":"2OEAHEDS","created_at":"2026-05-18T12:29:55.572404+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/2OEAHEDSMM6OGRDZVWWTLQACD3","json":"https://pith.science/pith/2OEAHEDSMM6OGRDZVWWTLQACD3.json","graph_json":"https://pith.science/api/pith-number/2OEAHEDSMM6OGRDZVWWTLQACD3/graph.json","events_json":"https://pith.science/api/pith-number/2OEAHEDSMM6OGRDZVWWTLQACD3/events.json","paper":"https://pith.science/paper/2OEAHEDS"},"agent_actions":{"view_html":"https://pith.science/pith/2OEAHEDSMM6OGRDZVWWTLQACD3","download_json":"https://pith.science/pith/2OEAHEDSMM6OGRDZVWWTLQACD3.json","view_paper":"https://pith.science/paper/2OEAHEDS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.02049&json=true","fetch_graph":"https://pith.science/api/pith-number/2OEAHEDSMM6OGRDZVWWTLQACD3/graph.json","fetch_events":"https://pith.science/api/pith-number/2OEAHEDSMM6OGRDZVWWTLQACD3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2OEAHEDSMM6OGRDZVWWTLQACD3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2OEAHEDSMM6OGRDZVWWTLQACD3/action/storage_attestation","attest_author":"https://pith.science/pith/2OEAHEDSMM6OGRDZVWWTLQACD3/action/author_attestation","sign_citation":"https://pith.science/pith/2OEAHEDSMM6OGRDZVWWTLQACD3/action/citation_signature","submit_replication":"https://pith.science/pith/2OEAHEDSMM6OGRDZVWWTLQACD3/action/replication_record"}},"created_at":"2026-05-18T01:15:30.449600+00:00","updated_at":"2026-05-18T01:15:30.449600+00:00"}