{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JDSJJZU6TY75DWO73R3FBU7OZ2","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":"3295ffaa9b9b4624957e4a5d49a0a72744f86dacfc17b459edaeca8dfca636c3","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-30T08:23:14Z","title_canon_sha256":"9081e0caad2625e3fa23a570f20c96ec7481208148b95acbee42f263bb84d9c0"},"schema_version":"1.0","source":{"id":"1612.09418","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.09418","created_at":"2026-05-17T23:39:42Z"},{"alias_kind":"arxiv_version","alias_value":"1612.09418v1","created_at":"2026-05-17T23:39:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.09418","created_at":"2026-05-17T23:39:42Z"},{"alias_kind":"pith_short_12","alias_value":"JDSJJZU6TY75","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JDSJJZU6TY75DWO7","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JDSJJZU6","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:4fa8fddda735b62fc861229c24c06938190ed1156d67edbfe151d628cec4ecfc","target":"graph","created_at":"2026-05-17T23:39:42Z","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 establish interior Lipschitz regularity for continuous viscosity solutions of fully nonlinear, conformally invariant, degenerate elliptic equations. As a by-product of our method, we also prove a weak form of the strong comparison principle, which we refer to as the principle of propagation of touching points, for operators of the form $\\nabla^2 \\psi + L(x,\\psi,\\nabla \\psi)$ which are non-decreasing in $\\psi$.","authors_text":"Bo Wang, Luc Nguyen, Yanyan Li","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-30T08:23:14Z","title":"Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.09418","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:acf2f81244171f6dbc4ac549a6a2003a32297bbb00772abfe1ff386b0f2d0535","target":"record","created_at":"2026-05-17T23:39:42Z","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":"3295ffaa9b9b4624957e4a5d49a0a72744f86dacfc17b459edaeca8dfca636c3","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-30T08:23:14Z","title_canon_sha256":"9081e0caad2625e3fa23a570f20c96ec7481208148b95acbee42f263bb84d9c0"},"schema_version":"1.0","source":{"id":"1612.09418","kind":"arxiv","version":1}},"canonical_sha256":"48e494e69e9e3fd1d9dfdc7650d3eece8585213e28ce8b6db9e659cdb8f9e018","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48e494e69e9e3fd1d9dfdc7650d3eece8585213e28ce8b6db9e659cdb8f9e018","first_computed_at":"2026-05-17T23:39:42.287709Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:42.287709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dnAD4IkAUJ3U84CAuHvYvMqBB8JdoVR/W/+woDFJcaVfZe15cwXpYsQflEj96J+hxwe4ZJdnvM3aqSE12PenCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:42.288333Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.09418","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:acf2f81244171f6dbc4ac549a6a2003a32297bbb00772abfe1ff386b0f2d0535","sha256:4fa8fddda735b62fc861229c24c06938190ed1156d67edbfe151d628cec4ecfc"],"state_sha256":"5960070e95aff56ff44c6a5b74edc3f1b442fb0d7ac5ad44a509356246b388ea"}