{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:MVJ2CNS6GJTEDATWFLXJAFF3AH","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":"211c56c82b8e41becb56a0ad925b923aacb0c6f3f2c0386714cb575521106b26","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-03-11T10:04:09Z","title_canon_sha256":"b2601c1957ee41188873454d0295af71cd427eb902b9d12430f27a8e77554286"},"schema_version":"1.0","source":{"id":"1903.04196","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.04196","created_at":"2026-05-17T23:45:20Z"},{"alias_kind":"arxiv_version","alias_value":"1903.04196v2","created_at":"2026-05-17T23:45:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.04196","created_at":"2026-05-17T23:45:20Z"},{"alias_kind":"pith_short_12","alias_value":"MVJ2CNS6GJTE","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"MVJ2CNS6GJTEDATW","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"MVJ2CNS6","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:be8009028421acd1f7bf570bcee99515da84f0189f65671ea5b2ef1fb1e280ba","target":"graph","created_at":"2026-05-17T23:45:20Z","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 extend the Barles-Perthame procedure of semi-relaxed limits of viscosity solutions of Hamilton-Jacobi equations of the type f - lambda H f = h.\n  The convergence result allows for equations on a `converging sequence of spaces' as well as Hamilton-equations written in terms of two equations in terms of operators H_\\dagger and H_\\dagger that serve as natural upper and lower bounds for the `true' operator H.\n  In the process, we establish a strong relation between non-linear pseudo-resolvents and viscosity solutions of Hamilton-Jacobi equations. As a consequence we derive a convergence result ","authors_text":"Richard C. Kraaij","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-03-11T10:04:09Z","title":"A general convergence result for viscosity solutions of Hamilton-Jacobi equations and non-linear semigroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.04196","kind":"arxiv","version":2},"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:ad290bc8fca53861af52c7042d1ac7cb307b7fb39803b8cbc7df6b7f15af7ce2","target":"record","created_at":"2026-05-17T23:45:20Z","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":"211c56c82b8e41becb56a0ad925b923aacb0c6f3f2c0386714cb575521106b26","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-03-11T10:04:09Z","title_canon_sha256":"b2601c1957ee41188873454d0295af71cd427eb902b9d12430f27a8e77554286"},"schema_version":"1.0","source":{"id":"1903.04196","kind":"arxiv","version":2}},"canonical_sha256":"6553a1365e32664182762aee9014bb01ca417977f2d5b19ce2bb4012b8be05c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6553a1365e32664182762aee9014bb01ca417977f2d5b19ce2bb4012b8be05c4","first_computed_at":"2026-05-17T23:45:20.125864Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:20.125864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9xPnXqCgo/Xblz0fUP5hIdREieWomgCz5FkahimRLQWIBufy3z+3gL7lZ3pGTMhsMtkZvn1T7++3EIAYJju3Cg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:20.126393Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.04196","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad290bc8fca53861af52c7042d1ac7cb307b7fb39803b8cbc7df6b7f15af7ce2","sha256:be8009028421acd1f7bf570bcee99515da84f0189f65671ea5b2ef1fb1e280ba"],"state_sha256":"0b079f4ae021f670803491515aa071cd493a50ca1f7bb5b423669f6a1f7a7ca6"}