{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NNSRRSN5A6PFM5MPP6GZG2AJZK","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":"e9b1122836ad1eb4342833940b2bf6bf9bec9b20eda927fcc396ebddaa52b9b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-03-09T03:20:55Z","title_canon_sha256":"24941ada732d5b2bb31ab35beec73df06e9577616fd2cd05f734b335a9f8c0f8"},"schema_version":"1.0","source":{"id":"1803.03369","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.03369","created_at":"2026-05-18T00:21:39Z"},{"alias_kind":"arxiv_version","alias_value":"1803.03369v1","created_at":"2026-05-18T00:21:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.03369","created_at":"2026-05-18T00:21:39Z"},{"alias_kind":"pith_short_12","alias_value":"NNSRRSN5A6PF","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NNSRRSN5A6PFM5MP","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NNSRRSN5","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:d953b7d3edbc3647be8ce05c7b632c0ab5705aceaa68c4f5f451d34be0745ef9","target":"graph","created_at":"2026-05-18T00:21:39Z","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 investigate $L^p$ boundedness of the maximal Bochner-Riesz means for self-adjoint operators of elliptic type. Assuming the finite speed of propagation for the associated wave operator, from the restriction type estimates we establish the sharp $L^p$ boundedness of the maximal Bochner-Riesz means for the elliptic operators. As applications, we obtain the sharp $L^p$ maximal bounds for the Schr\\\"odinger operators on asymptotically conic manifolds, the harmonic oscillator and its perturbations or elliptic operators on compact manifolds.","authors_text":"Adam Sikora, Lixin Yan, Peng Chen, Sanghyuk Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-03-09T03:20:55Z","title":"Bounds on the maximal Bochner-Riesz means for elliptic operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.03369","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":"sha256:16a6cd16b212dfc9f557e8ef29faca88985b6217d0453b8de1764e81e9945a2e","target":"record","created_at":"2026-05-18T00:21:39Z","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":"e9b1122836ad1eb4342833940b2bf6bf9bec9b20eda927fcc396ebddaa52b9b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-03-09T03:20:55Z","title_canon_sha256":"24941ada732d5b2bb31ab35beec73df06e9577616fd2cd05f734b335a9f8c0f8"},"schema_version":"1.0","source":{"id":"1803.03369","kind":"arxiv","version":1}},"canonical_sha256":"6b6518c9bd079e56758f7f8d936809caa9196feb369c1f935e6502641f86ef92","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b6518c9bd079e56758f7f8d936809caa9196feb369c1f935e6502641f86ef92","first_computed_at":"2026-05-18T00:21:39.789954Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:39.789954Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fgu0GpetiiI3Ca3ILAX1LUKNt6z0DxVkvyzr2Q/ArnM+iUerh7RzCNliQz1WIf0uHrRTJZD6yfWGqTN+RlvbBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:39.790653Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.03369","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:16a6cd16b212dfc9f557e8ef29faca88985b6217d0453b8de1764e81e9945a2e","sha256:d953b7d3edbc3647be8ce05c7b632c0ab5705aceaa68c4f5f451d34be0745ef9"],"state_sha256":"b81735ef542add191ff8768b915dcc9bb5f64114df33241f3249a21f513d5602"}