{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XNFNL6OU5OYR5VI6GAUMOIV5SD","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":"0a721e41a1de23e256dc521aa370cb8910b29c0d0466e8453e731f9389c370e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-28T13:56:56Z","title_canon_sha256":"efc1a7a2c992d0960878fc3dbd29e4ce544270c9515525ad21656553ec942c19"},"schema_version":"1.0","source":{"id":"1610.09216","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09216","created_at":"2026-05-18T00:49:46Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09216v3","created_at":"2026-05-18T00:49:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09216","created_at":"2026-05-18T00:49:46Z"},{"alias_kind":"pith_short_12","alias_value":"XNFNL6OU5OYR","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XNFNL6OU5OYR5VI6","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XNFNL6OU","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:6b142bf0736845abb78204fae5d1f496adc8d136473cce0acd37e0fd260af156","target":"graph","created_at":"2026-05-18T00:49:46Z","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":"In this manuscript we study the relation between viscosity and weak solutions for non-homogeneous p-Laplace equations with lower order term depending on $x$, $u$ and $\\nabla u$. More precisely, we prove that any locally bounded viscosity solution constitutes a weak solution, extending previous results by Juutinen, Lindqvist and Manfredi on the homogeneous case, and Julin and Juutinen for a linear right hand side. Moreover, we provide a converse statement in the full case under extra assumptions on the regularity of the solutions.","authors_text":"Maria Medina, Pablo Ochoa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-28T13:56:56Z","title":"On viscosity and weak solutions for non-homogeneous p-Laplace equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09216","kind":"arxiv","version":3},"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":"sha256:84372703830f7d74f8c29995e434fd092f12b2027942b0bcfbab0eeed89b15b0","target":"record","created_at":"2026-05-18T00:49:46Z","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":"0a721e41a1de23e256dc521aa370cb8910b29c0d0466e8453e731f9389c370e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-28T13:56:56Z","title_canon_sha256":"efc1a7a2c992d0960878fc3dbd29e4ce544270c9515525ad21656553ec942c19"},"schema_version":"1.0","source":{"id":"1610.09216","kind":"arxiv","version":3}},"canonical_sha256":"bb4ad5f9d4ebb11ed51e3028c722bd90ed7aeb3bb3d8b9be89f75985360df2a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb4ad5f9d4ebb11ed51e3028c722bd90ed7aeb3bb3d8b9be89f75985360df2a7","first_computed_at":"2026-05-18T00:49:46.726968Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:46.726968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IKCHpxk2o8olZ8cY28QR+N1JDXv/4aV7ITQi2OdchCP+3+XSR3ZsZHmIuoUWHzP4CrCzOCZmxR/4AHxNTzC1Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:46.727566Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.09216","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84372703830f7d74f8c29995e434fd092f12b2027942b0bcfbab0eeed89b15b0","sha256:6b142bf0736845abb78204fae5d1f496adc8d136473cce0acd37e0fd260af156"],"state_sha256":"fe03988f5c321c7c0b3c8becdf9e689589a009e8e2627529f75e5026cfd59d61"}