{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:YBBX4JJIRUA6OEVKGH6DSX6MW7","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":"78fdf640448caa81ab805821c71b3eafdcbf8c7b943f89aeaa4ce2aad3084fbc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-04-12T05:35:29Z","title_canon_sha256":"475ef7057790f300a12daa2e09eacfa86bb29e68ec46fb76b0993229f6aac8ee"},"schema_version":"1.0","source":{"id":"1904.06042","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.06042","created_at":"2026-05-17T23:48:44Z"},{"alias_kind":"arxiv_version","alias_value":"1904.06042v1","created_at":"2026-05-17T23:48:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.06042","created_at":"2026-05-17T23:48:44Z"},{"alias_kind":"pith_short_12","alias_value":"YBBX4JJIRUA6","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"YBBX4JJIRUA6OEVK","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"YBBX4JJI","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:50ffa8fa83a367229737060abd49ba50700d55436b913edf5631008ff156f173","target":"graph","created_at":"2026-05-17T23:48:44Z","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 a (generally, non-coercive) mixed boundary value problem in a bounded domain $D$ of ${\\mathbb R}^n$ for a second order parameter-dependent elliptic differential operator $A (x,\\partial, \\lambda)$ with complex-valued essentially bounded measured coefficients and complex parameter $\\lambda$. The differential operator is assumed to be of divergent form in $D$, the boundary operator $B (x,\\partial)$ is of Robin type with possible pseudo-differential components on $\\partial D$. The boundary of $D$ is assumed to be a Lipschitz surface. Under these assumptions the pair $(A (x,\\partial, \\l","authors_text":"A. Polkovnikov, A. Shlapunov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-04-12T05:35:29Z","title":"On non-coercive mixed problems for parameter-dependent elliptic operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.06042","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:ecfd21932c070279fcde881a8dede8e13505aca933989142eb3bff945acccdb9","target":"record","created_at":"2026-05-17T23:48:44Z","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":"78fdf640448caa81ab805821c71b3eafdcbf8c7b943f89aeaa4ce2aad3084fbc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-04-12T05:35:29Z","title_canon_sha256":"475ef7057790f300a12daa2e09eacfa86bb29e68ec46fb76b0993229f6aac8ee"},"schema_version":"1.0","source":{"id":"1904.06042","kind":"arxiv","version":1}},"canonical_sha256":"c0437e25288d01e712aa31fc395fccb7dc9dad8b53aa3904cd1327ff12e1d8b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0437e25288d01e712aa31fc395fccb7dc9dad8b53aa3904cd1327ff12e1d8b5","first_computed_at":"2026-05-17T23:48:44.412977Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:44.412977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S0D8WPDfFfkRdZQTQ0JxhwfKW/tw/+tpIKd2NGCFUkgIeL3P73kQTSPaCYaU9oPCVo2wrnhXTw1kG5GBLjqUBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:44.413459Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.06042","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ecfd21932c070279fcde881a8dede8e13505aca933989142eb3bff945acccdb9","sha256:50ffa8fa83a367229737060abd49ba50700d55436b913edf5631008ff156f173"],"state_sha256":"261590fa141144d871478ce24b229ad8b77a25b516f21e4e42cd80dd0d9a401e"}