{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QTERVEBONZVUZFXTGZHHDF6OPS","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":"5edfc23b0f3089e28b5050bc02fce7e1a37b6dbe61d83d2d9291acd7a5245dd6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-18T09:59:51Z","title_canon_sha256":"0df241250977e71decee63e8e29355d46fefad77e2a1b3a99c9b37329b97316a"},"schema_version":"1.0","source":{"id":"1411.4789","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4789","created_at":"2026-05-18T02:34:51Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4789v1","created_at":"2026-05-18T02:34:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4789","created_at":"2026-05-18T02:34:51Z"},{"alias_kind":"pith_short_12","alias_value":"QTERVEBONZVU","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QTERVEBONZVUZFXT","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QTERVEBO","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:f203c76f36019bff59f105189a3c71e62c92fafd8aa5e17dce3b61c4d43d02c2","target":"graph","created_at":"2026-05-18T02:34:51Z","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 discuss stability of square root domains for uniformly elliptic partial differential operators $L_{a,\\Omega,\\Gamma} = -\\nabla\\cdot a \\nabla$ in $L^2(\\Omega)$, with mixed boundary conditions on $\\partial \\Omega$, with respect to additive perturbations. We consider open, bounded, and connected sets $\\Omega \\in \\mathbb{R}^n$, $n \\in \\mathbb{N} \\backslash\\{1\\}$, that satisfy the interior corkscrew condition and prove stability of square root domains of the operator $L_{a,\\Omega,\\Gamma}$ with respect to additive potential perturbations $V \\in L^p(\\Omega) + L^{\\infty}(\\Omega)$, $p>n/2$.\n  Special","authors_text":"Fritz Gesztesy, Roger Nichols, Steve Hofmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-18T09:59:51Z","title":"Stability of square root domains associated with elliptic systems of PDEs on nonsmooth domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4789","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:bf8946ee275b8707b69f83ae4b85056291c35aa6f033c9f64871196349283255","target":"record","created_at":"2026-05-18T02:34:51Z","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":"5edfc23b0f3089e28b5050bc02fce7e1a37b6dbe61d83d2d9291acd7a5245dd6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-18T09:59:51Z","title_canon_sha256":"0df241250977e71decee63e8e29355d46fefad77e2a1b3a99c9b37329b97316a"},"schema_version":"1.0","source":{"id":"1411.4789","kind":"arxiv","version":1}},"canonical_sha256":"84c91a902e6e6b4c96f3364e7197ce7cbf6e209bd33f1bf7efdb57e8aae13959","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84c91a902e6e6b4c96f3364e7197ce7cbf6e209bd33f1bf7efdb57e8aae13959","first_computed_at":"2026-05-18T02:34:51.225294Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:51.225294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EuZGPYzWBtNr9p5oxvkgBhu9CPgL9T5BVMZp+Y2zcQS0r0loCV4zsOujxkjdAbyZRv+YyiWvsT6pvE/Pag8MAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:51.225670Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.4789","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf8946ee275b8707b69f83ae4b85056291c35aa6f033c9f64871196349283255","sha256:f203c76f36019bff59f105189a3c71e62c92fafd8aa5e17dce3b61c4d43d02c2"],"state_sha256":"24b272e7f1d70a1af31b288195348ac1c80e6adbd69d67a4d9f4dac893be78fb"}