{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2LVEHLRNIQUSIBQIAYAHB5QQTH","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":"9257a503ef106240e9034d460078de3b4e93fef20c5a7181d00509db773266a4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-18T18:47:32Z","title_canon_sha256":"4756560b3b2c5719228ac55f6330bac24da8020b70be8370824a64f7156939de"},"schema_version":"1.0","source":{"id":"1404.4854","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.4854","created_at":"2026-05-18T02:53:54Z"},{"alias_kind":"arxiv_version","alias_value":"1404.4854v1","created_at":"2026-05-18T02:53:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4854","created_at":"2026-05-18T02:53:54Z"},{"alias_kind":"pith_short_12","alias_value":"2LVEHLRNIQUS","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2LVEHLRNIQUSIBQI","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2LVEHLRN","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:bc50e384c8f13b3702ed3622a050dfa2cbaf7a63f64745e5a4b7e165e0cee4ed","target":"graph","created_at":"2026-05-18T02:53:54Z","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 domain $G\\subset\\mathbb R^n$ with nonlocal conditions that connect the values of the unknown function and its derivatives on $(n-1)$-dimensional submanifolds $\\Upsilon_i$ (where $\\bigcup_i\\Upsilon_i=\\partial G$) with the values on $\\omega_{is}(\\overline\\Upsilon_i)\\subset\\overline G$. Nonlocal elliptic problems in dihedral angles arise as model problems near the conjugation points $g\\in\\overline\\Upsilon_i\\cap\\Upsilon_j\\ne\\varnothing$, $i\\ne j$. We study the case where the transformations $\\omega_{is}$ correspond to nonlinear transformations in t","authors_text":"Pavel Gurevich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-18T18:47:32Z","title":"Nonlocal elliptic problems with nonlinear argument transformations near the points of conjugation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4854","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":"sha256:7d07fd762d3729ec8031cbeb3060ec1bf63998a00f0bf91d5d2d51fa56bc5190","target":"record","created_at":"2026-05-18T02:53:54Z","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":"9257a503ef106240e9034d460078de3b4e93fef20c5a7181d00509db773266a4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-18T18:47:32Z","title_canon_sha256":"4756560b3b2c5719228ac55f6330bac24da8020b70be8370824a64f7156939de"},"schema_version":"1.0","source":{"id":"1404.4854","kind":"arxiv","version":1}},"canonical_sha256":"d2ea43ae2d4429240608060070f61099f3c521556f9f9c93d636b362bb9ee050","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2ea43ae2d4429240608060070f61099f3c521556f9f9c93d636b362bb9ee050","first_computed_at":"2026-05-18T02:53:54.710949Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:54.710949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M+stMnr9JOHlhVkJbLRwlfVFKnYcZdd7f7w3cTq7EM+tr1+F0N0HjUAcwSRMVW3yd0+Ju+mujlAT+qywZtNTCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:54.711658Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.4854","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d07fd762d3729ec8031cbeb3060ec1bf63998a00f0bf91d5d2d51fa56bc5190","sha256:bc50e384c8f13b3702ed3622a050dfa2cbaf7a63f64745e5a4b7e165e0cee4ed"],"state_sha256":"3851c8b0da412e440f65f71ee6dd0723c8cb56746b8f174045679040dfc39171"}