{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:K7CQVEVJZHAHXIG2PHMSGUYOBK","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":"176dcb7035f75a7ad5f45cadef9db30c315c99ae1bb27eefb69173f8f33a7b90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-29T13:49:55Z","title_canon_sha256":"28c1886b832bd3c1f8face4f8ef21b780b55378467286d56bc951901f2f2500b"},"schema_version":"1.0","source":{"id":"1610.09509","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09509","created_at":"2026-05-18T00:10:30Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09509v3","created_at":"2026-05-18T00:10:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09509","created_at":"2026-05-18T00:10:30Z"},{"alias_kind":"pith_short_12","alias_value":"K7CQVEVJZHAH","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"K7CQVEVJZHAHXIG2","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"K7CQVEVJ","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:b13ecd6d8d6b6a239d27c69ca6fef1e8a2683970b15520ad8d1d44d079acb35b","target":"graph","created_at":"2026-05-18T00:10:30Z","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":"Locally bounded, local weak solutions to a special class of quasilinear, anisotropic, $p$-Laplacian type elliptic equations, are shown to be locally H\\\"older continuous. Homogeneous local upper bounds are established for local weak solutions to a general class of quasilinear anisotropic equations.","authors_text":"Emmanuele DiBenedetto, Ugo Gianazza, Vincenzo Vespri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-29T13:49:55Z","title":"Remarks on Local Boundedness and Local H\\\"older Continuity of Local Weak Solutions to Anisotropic $p$-Laplacian Type Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09509","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:be3ac27b8458cbb5ec1393cd07865470936297b701973edbf7d633c7fd5f7837","target":"record","created_at":"2026-05-18T00:10:30Z","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":"176dcb7035f75a7ad5f45cadef9db30c315c99ae1bb27eefb69173f8f33a7b90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-29T13:49:55Z","title_canon_sha256":"28c1886b832bd3c1f8face4f8ef21b780b55378467286d56bc951901f2f2500b"},"schema_version":"1.0","source":{"id":"1610.09509","kind":"arxiv","version":3}},"canonical_sha256":"57c50a92a9c9c07ba0da79d923530e0a994c353ea3c27c1616229375b1a8ae52","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57c50a92a9c9c07ba0da79d923530e0a994c353ea3c27c1616229375b1a8ae52","first_computed_at":"2026-05-18T00:10:30.891923Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:30.891923Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n4hJanQ4gCRrf8ibRKwfU6IeAWBqwwfNXgvkRK7Plfl6CAbsu/RU8pe3aSwK+gzbDCpiCzKGgtwgcHghe0YDAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:30.892685Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.09509","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be3ac27b8458cbb5ec1393cd07865470936297b701973edbf7d633c7fd5f7837","sha256:b13ecd6d8d6b6a239d27c69ca6fef1e8a2683970b15520ad8d1d44d079acb35b"],"state_sha256":"95fa8103d1bb3ec340bd915aebdbf8bd21ac11becd2cdc080b16ba1a833c88ee"}