{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3JK3MEUS5FZ6OENFZPOAL3A7NY","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":"c131302e45b8bb55994e1fa63e1150a4f55f17c0b42a39d7631401eb86bf0335","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-04-18T12:11:30Z","title_canon_sha256":"4d756ef6c29cfc85041b04c42fa63ab285021cc0476410b6ec547ebf85c60ef8"},"schema_version":"1.0","source":{"id":"1704.05292","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.05292","created_at":"2026-05-18T00:45:58Z"},{"alias_kind":"arxiv_version","alias_value":"1704.05292v2","created_at":"2026-05-18T00:45:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.05292","created_at":"2026-05-18T00:45:58Z"},{"alias_kind":"pith_short_12","alias_value":"3JK3MEUS5FZ6","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3JK3MEUS5FZ6OENF","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3JK3MEUS","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:734cd6947f126d55540ca54c65b3157e3d1253b6782b090d7426ad485e637ca9","target":"graph","created_at":"2026-05-18T00:45:58Z","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":"The present paper, we study in the harmonic analysis associated to the Weinstein operator, the boundedness on Lp of the uncentered maximal function. First, we establish estimates for the Weinstein translation of characteristic function of a closed ball with radius \" centered at 0 on the upper half space. Second, we prove weak-type L1-estimates for the uncentered maximal function associated with the Weinstein operator and we obtain that is bounded on Lp for p>1.","authors_text":"Chokri Abdelkefi, Safa Chabchoub","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-04-18T12:11:30Z","title":"Uncentered maximal function for elliptic partial differential operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05292","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:b8d5b3b8a78a8b06276e3961e88ccded660a5adeef76932c3c4e3d2ffa9531f3","target":"record","created_at":"2026-05-18T00:45:58Z","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":"c131302e45b8bb55994e1fa63e1150a4f55f17c0b42a39d7631401eb86bf0335","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-04-18T12:11:30Z","title_canon_sha256":"4d756ef6c29cfc85041b04c42fa63ab285021cc0476410b6ec547ebf85c60ef8"},"schema_version":"1.0","source":{"id":"1704.05292","kind":"arxiv","version":2}},"canonical_sha256":"da55b61292e973e711a5cbdc05ec1f6e3716a407011a161d9ce7d79e59bf8b69","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da55b61292e973e711a5cbdc05ec1f6e3716a407011a161d9ce7d79e59bf8b69","first_computed_at":"2026-05-18T00:45:58.049198Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:58.049198Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WNmqDMUQ1JovZQlk4m1hntdIBHVRUu50keybe1bGqbGhalUFJ8O9bdQRqEH3T/YswU2HxQVKrKhdC0f3f9A+Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:58.049895Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.05292","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8d5b3b8a78a8b06276e3961e88ccded660a5adeef76932c3c4e3d2ffa9531f3","sha256:734cd6947f126d55540ca54c65b3157e3d1253b6782b090d7426ad485e637ca9"],"state_sha256":"1c8bada0ba2b8e519ad6abb57c3b550ebfdf03b55b02c1381989a7213878b22c"}