{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GBJLA7RPSSEL363WIVWRWGAK22","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c1e24761b958e130e6cbd2b94fbba44425892a5aef7eece55dea016737416dd5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-28T09:10:42Z","title_canon_sha256":"a7bce7224f00519886bab8d3db5460d4c4c31dedb030255d28a69ce4595d6b8f"},"schema_version":"1.0","source":{"id":"1404.6903","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6903","created_at":"2026-05-18T02:53:05Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6903v1","created_at":"2026-05-18T02:53:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6903","created_at":"2026-05-18T02:53:05Z"},{"alias_kind":"pith_short_12","alias_value":"GBJLA7RPSSEL","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GBJLA7RPSSEL363W","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GBJLA7RP","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:6704c4af567efd5c2320d2ed064a65d8e2bbada087492f3b66f97736e75c135d","target":"graph","created_at":"2026-05-18T02:53:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We consider elliptic equations of order $2m$ in a bounded domain $Q\\subset\\mathbb R^n$ with nonlocal boundary-value conditions connecting the values of a solution and its derivatives on $(n-1)$-dimensional smooth manifolds $\\Gamma_i$ with the values on manifolds $\\omega_{i}(\\Gamma_i)$, where $\\bigcup_i\\overline{\\Gamma_i}=\\partial Q$ is a boundary of $Q$ and $\\omega_i$ are $C^\\infty$ diffeomorphisms. By proving a priori estimates for solutions and constructing a right regularizer, we show the Fredholm solvability in weighted space. For nonlocal elliptic problems with a parameter, we prove the u","authors_text":"Alexander Skubachevskii, Pavel Gurevich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-28T09:10:42Z","title":"On the Fredholm and unique solvability of nonlocal elliptic problems in multidimensional domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6903","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:dad05d674d2bae3830f0e4db35387a1e819e5c7f1235f0a4a91632123c9af80f","target":"record","created_at":"2026-05-18T02:53:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c1e24761b958e130e6cbd2b94fbba44425892a5aef7eece55dea016737416dd5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-28T09:10:42Z","title_canon_sha256":"a7bce7224f00519886bab8d3db5460d4c4c31dedb030255d28a69ce4595d6b8f"},"schema_version":"1.0","source":{"id":"1404.6903","kind":"arxiv","version":1}},"canonical_sha256":"3052b07e2f9488bdfb76456d1b180ad69b3104a5c2fdb6399fb6d26affe97bfd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3052b07e2f9488bdfb76456d1b180ad69b3104a5c2fdb6399fb6d26affe97bfd","first_computed_at":"2026-05-18T02:53:05.610916Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:05.610916Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4VgETqYSs8M4noRfUnAINM+9G4RwuwiRQVXP3kLvBxeA6DL5QcrbN1lwKhXh2Vcn8ZfnPfImZPgHqHiqqDIzCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:05.611419Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.6903","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dad05d674d2bae3830f0e4db35387a1e819e5c7f1235f0a4a91632123c9af80f","sha256:6704c4af567efd5c2320d2ed064a65d8e2bbada087492f3b66f97736e75c135d"],"state_sha256":"8022543c8e1d6e3fde4bcbe5c7549e8c8dbb729c06841a8b9eadf75d1cbdd651"}