{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:X3IRFNJ3UEUCMAOIXT2AWGDZM3","short_pith_number":"pith:X3IRFNJ3","schema_version":"1.0","canonical_sha256":"bed112b53ba1282601c8bcf40b187966f9301c6139a95873cfb836cf8cf1c951","source":{"kind":"arxiv","id":"1405.2999","version":1},"attestation_state":"computed","paper":{"title":"The higher order regularity Dirichlet problem for elliptic systems in the upper-half space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.AP","authors_text":"Dorina Mitrea, Irina Mitrea, Jos\\'e Mar\\'ia Martell, Marius Mitrea","submitted_at":"2014-05-12T23:42:49Z","abstract_excerpt":"We identify a large class of constant (complex) coefficient, second order elliptic systems for which the Dirichlet problem in the upper-half space with data in $L^p$-based Sobolev spaces, $1<p<\\infty$, of arbitrary smoothness $\\ell$, is well-posed in the class of functions whose nontangential maximal operator of their derivatives up to, and including, order $\\ell$ is $L^p$-integrable. This class includes all scalar, complex coefficient elliptic operators of second order, as well as the Lam\\'e system of elasticity, among others."},"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":"1405.2999","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-12T23:42:49Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"501a8cd7597fe75fa69b099a08ecec4c63968e739eaf38a9be53c746a07e6ab0","abstract_canon_sha256":"2283e409f01999b7bbd1a97795a6df51cf548bc1377a1630f1be4aacd930e00d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:57.990657Z","signature_b64":"liiW+l3Hkr/1Ghr79x8o77aW5mb5yXj5eQYdjblwwf02o+4oJ3mEMGHuG1hEWa/PWsRAN4pshNTSidGhD22TDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bed112b53ba1282601c8bcf40b187966f9301c6139a95873cfb836cf8cf1c951","last_reissued_at":"2026-05-18T02:51:57.990282Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:57.990282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The higher order regularity Dirichlet problem for elliptic systems in the upper-half space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.AP","authors_text":"Dorina Mitrea, Irina Mitrea, Jos\\'e Mar\\'ia Martell, Marius Mitrea","submitted_at":"2014-05-12T23:42:49Z","abstract_excerpt":"We identify a large class of constant (complex) coefficient, second order elliptic systems for which the Dirichlet problem in the upper-half space with data in $L^p$-based Sobolev spaces, $1<p<\\infty$, of arbitrary smoothness $\\ell$, is well-posed in the class of functions whose nontangential maximal operator of their derivatives up to, and including, order $\\ell$ is $L^p$-integrable. This class includes all scalar, complex coefficient elliptic operators of second order, as well as the Lam\\'e system of elasticity, among others."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.2999","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":"1405.2999","created_at":"2026-05-18T02:51:57.990343+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.2999v1","created_at":"2026-05-18T02:51:57.990343+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.2999","created_at":"2026-05-18T02:51:57.990343+00:00"},{"alias_kind":"pith_short_12","alias_value":"X3IRFNJ3UEUC","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"X3IRFNJ3UEUCMAOI","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"X3IRFNJ3","created_at":"2026-05-18T12:28:54.890064+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/X3IRFNJ3UEUCMAOIXT2AWGDZM3","json":"https://pith.science/pith/X3IRFNJ3UEUCMAOIXT2AWGDZM3.json","graph_json":"https://pith.science/api/pith-number/X3IRFNJ3UEUCMAOIXT2AWGDZM3/graph.json","events_json":"https://pith.science/api/pith-number/X3IRFNJ3UEUCMAOIXT2AWGDZM3/events.json","paper":"https://pith.science/paper/X3IRFNJ3"},"agent_actions":{"view_html":"https://pith.science/pith/X3IRFNJ3UEUCMAOIXT2AWGDZM3","download_json":"https://pith.science/pith/X3IRFNJ3UEUCMAOIXT2AWGDZM3.json","view_paper":"https://pith.science/paper/X3IRFNJ3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.2999&json=true","fetch_graph":"https://pith.science/api/pith-number/X3IRFNJ3UEUCMAOIXT2AWGDZM3/graph.json","fetch_events":"https://pith.science/api/pith-number/X3IRFNJ3UEUCMAOIXT2AWGDZM3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X3IRFNJ3UEUCMAOIXT2AWGDZM3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X3IRFNJ3UEUCMAOIXT2AWGDZM3/action/storage_attestation","attest_author":"https://pith.science/pith/X3IRFNJ3UEUCMAOIXT2AWGDZM3/action/author_attestation","sign_citation":"https://pith.science/pith/X3IRFNJ3UEUCMAOIXT2AWGDZM3/action/citation_signature","submit_replication":"https://pith.science/pith/X3IRFNJ3UEUCMAOIXT2AWGDZM3/action/replication_record"}},"created_at":"2026-05-18T02:51:57.990343+00:00","updated_at":"2026-05-18T02:51:57.990343+00:00"}