{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:G2325GUQBZSIJLEH4ECCM66EE5","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":"0e2a60d93a53f48d24b18a79528bc563533081427cdbcca60d9b27b5155fd4d1","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-04T15:06:07Z","title_canon_sha256":"f20202aca29c248297a8057680903202220586bd60217a1d431ca70d0ef752bb"},"schema_version":"1.0","source":{"id":"1309.1064","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.1064","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"arxiv_version","alias_value":"1309.1064v1","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.1064","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"pith_short_12","alias_value":"G2325GUQBZSI","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"G2325GUQBZSIJLEH","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"G2325GUQ","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:4bb736af935e3a3e742ea5de6c8fbceee54d0accac5d4f9d1ada4c8b52f1abd3","target":"graph","created_at":"2026-05-18T03:14:09Z","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":"A weighted norm inequality of Muckenhoupt-Wheeden type is obtained for gradients of solutions to a class of quasilinear equations with measure data on Reifenberg flat domains. This essentially leads to a resolution of an existence problem for quasilinear Riccati type equations with a gradient source term of arbitrary power law growth.","authors_text":"Nguyen Cong Phuc","cross_cats":["math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-04T15:06:07Z","title":"Nonlinear Muckenhoupt-Wheeden type bounds on Reifenberg flat domains, with applications to quasilinear Riccati type equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.1064","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":"sha256:6331486325c01733d22968a7684ca2cfac0bc3f53792c8e84cde8f3de991d331","target":"record","created_at":"2026-05-18T03:14:09Z","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":"0e2a60d93a53f48d24b18a79528bc563533081427cdbcca60d9b27b5155fd4d1","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-04T15:06:07Z","title_canon_sha256":"f20202aca29c248297a8057680903202220586bd60217a1d431ca70d0ef752bb"},"schema_version":"1.0","source":{"id":"1309.1064","kind":"arxiv","version":1}},"canonical_sha256":"36b7ae9a900e6484ac87e104267bc4277e23bac6dd39a11fbd55f6f4742a029b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36b7ae9a900e6484ac87e104267bc4277e23bac6dd39a11fbd55f6f4742a029b","first_computed_at":"2026-05-18T03:14:09.187489Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:09.187489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uDF3MtR16mTqSK7HKKmZ8qNghyVFRP0i9y26sQOWBaRDvpJQH1rIsp2i7l/S9h6gwyZWQKA8PDhhZDAll4rzAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:09.187994Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.1064","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6331486325c01733d22968a7684ca2cfac0bc3f53792c8e84cde8f3de991d331","sha256:4bb736af935e3a3e742ea5de6c8fbceee54d0accac5d4f9d1ada4c8b52f1abd3"],"state_sha256":"c0dfa665b85c5926c77184ffab51dd0cdd7efcbcb72dcdd4db4a2cf37476bde8"}