{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PKW3DWK33TRFXCLLDMSCF5AGAT","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":"2959afbfaa36bd0b5a0b9cf7a1fe75a845f1ff0c4102447675038c5287ecb76f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-09-28T03:45:23Z","title_canon_sha256":"2639b0db52d5195f424c9116392d830d963dfc49b9db53ad4e222d51222afe58"},"schema_version":"1.0","source":{"id":"1709.09795","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.09795","created_at":"2026-05-18T00:24:59Z"},{"alias_kind":"arxiv_version","alias_value":"1709.09795v2","created_at":"2026-05-18T00:24:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.09795","created_at":"2026-05-18T00:24:59Z"},{"alias_kind":"pith_short_12","alias_value":"PKW3DWK33TRF","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PKW3DWK33TRFXCLL","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PKW3DWK3","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:cb7efb4f3310e7962ecbad35e6e8e86e2d30f25f6f2f0a5eb5c69d4ad6846f30","target":"graph","created_at":"2026-05-18T00:24:59Z","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 consider $L^p$-$L^q$ estimates for the spherical harmonic projection operators and obtain sharp bounds on a certain range of $p$, $q$. As an application, we provide a proof of off-diagonal Carleman estimates for the Laplacian, which extends the earlier results due to Jerison and Kenig \\cite{JK}, and Stein \\cite{St-append}.","authors_text":"Sanghyuk Lee, Yehyun Kwon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-09-28T03:45:23Z","title":"Sharp $L^p$-$L^q$ estimates for the spherical harmonic projection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.09795","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":"sha256:19edc649eae9301fe4f67aa938dbee96629adad66fc94a819aff14240cb5a4a1","target":"record","created_at":"2026-05-18T00:24:59Z","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":"2959afbfaa36bd0b5a0b9cf7a1fe75a845f1ff0c4102447675038c5287ecb76f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-09-28T03:45:23Z","title_canon_sha256":"2639b0db52d5195f424c9116392d830d963dfc49b9db53ad4e222d51222afe58"},"schema_version":"1.0","source":{"id":"1709.09795","kind":"arxiv","version":2}},"canonical_sha256":"7aadb1d95bdce25b896b1b2422f40604f142179374bfe92518448969b5870aef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7aadb1d95bdce25b896b1b2422f40604f142179374bfe92518448969b5870aef","first_computed_at":"2026-05-18T00:24:59.591812Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:59.591812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4nhjioZ1YllwklxA8lwnTt9nGFo1mEvknHUSDz+bprfjj8gpF3U2T4w9B21CcjzHtTFi3FgJEV+HCBQT8tHgCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:59.592232Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.09795","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19edc649eae9301fe4f67aa938dbee96629adad66fc94a819aff14240cb5a4a1","sha256:cb7efb4f3310e7962ecbad35e6e8e86e2d30f25f6f2f0a5eb5c69d4ad6846f30"],"state_sha256":"a726cfb069fc1f73640be85c337f8bc1d69fa270de4892b79436b596b94d52d5"}