{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:46T4ZW53D4SCOMXO2HVMAC36IQ","short_pith_number":"pith:46T4ZW53","schema_version":"1.0","canonical_sha256":"e7a7ccdbbb1f242732eed1eac00b7e441f2af97e27a02d8f2857c7597a7bc748","source":{"kind":"arxiv","id":"2303.11002","version":1},"attestation_state":"computed","paper":{"title":"Sharp pointwise convergence on the Schr\\\"odinger operator along one class of curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.CA","authors_text":"Changxing Miao, Zhenbin Cao","submitted_at":"2023-03-20T10:30:57Z","abstract_excerpt":"Almost everywhere convergence on the solution of Schr\\\"odinger equation is an important problem raised by Carleson, which was essentially solved by Du-Guth-Li and Du-Zhang. In this note, we obtain the sharp pointwise convergence on the Schr\\\"odinger operator along one class of curves."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2303.11002","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2023-03-20T10:30:57Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"300537ed9e15551435ca444af1e8d88aad86ed05a581b7b01f1185a0fef29ed4","abstract_canon_sha256":"eac7f186fb33a150777b0eecbdbc925a75c54f96d0b46407e943be683157cf41"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:45:45.700837Z","signature_b64":"j7Q4t0tBy8l6htCESAOyktP2MyYK5HW4+5NsXnMgP8wR06mHAocSpeXD6pxcoDWgZgUWtkjwkowbHNvoGyPiBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7a7ccdbbb1f242732eed1eac00b7e441f2af97e27a02d8f2857c7597a7bc748","last_reissued_at":"2026-07-05T07:45:45.700332Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:45:45.700332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sharp pointwise convergence on the Schr\\\"odinger operator along one class of curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.CA","authors_text":"Changxing Miao, Zhenbin Cao","submitted_at":"2023-03-20T10:30:57Z","abstract_excerpt":"Almost everywhere convergence on the solution of Schr\\\"odinger equation is an important problem raised by Carleson, which was essentially solved by Du-Guth-Li and Du-Zhang. In this note, we obtain the sharp pointwise convergence on the Schr\\\"odinger operator along one class of curves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.11002","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2303.11002/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2303.11002","created_at":"2026-07-05T07:45:45.700392+00:00"},{"alias_kind":"arxiv_version","alias_value":"2303.11002v1","created_at":"2026-07-05T07:45:45.700392+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.11002","created_at":"2026-07-05T07:45:45.700392+00:00"},{"alias_kind":"pith_short_12","alias_value":"46T4ZW53D4SC","created_at":"2026-07-05T07:45:45.700392+00:00"},{"alias_kind":"pith_short_16","alias_value":"46T4ZW53D4SCOMXO","created_at":"2026-07-05T07:45:45.700392+00:00"},{"alias_kind":"pith_short_8","alias_value":"46T4ZW53","created_at":"2026-07-05T07:45:45.700392+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/46T4ZW53D4SCOMXO2HVMAC36IQ","json":"https://pith.science/pith/46T4ZW53D4SCOMXO2HVMAC36IQ.json","graph_json":"https://pith.science/api/pith-number/46T4ZW53D4SCOMXO2HVMAC36IQ/graph.json","events_json":"https://pith.science/api/pith-number/46T4ZW53D4SCOMXO2HVMAC36IQ/events.json","paper":"https://pith.science/paper/46T4ZW53"},"agent_actions":{"view_html":"https://pith.science/pith/46T4ZW53D4SCOMXO2HVMAC36IQ","download_json":"https://pith.science/pith/46T4ZW53D4SCOMXO2HVMAC36IQ.json","view_paper":"https://pith.science/paper/46T4ZW53","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2303.11002&json=true","fetch_graph":"https://pith.science/api/pith-number/46T4ZW53D4SCOMXO2HVMAC36IQ/graph.json","fetch_events":"https://pith.science/api/pith-number/46T4ZW53D4SCOMXO2HVMAC36IQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/46T4ZW53D4SCOMXO2HVMAC36IQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/46T4ZW53D4SCOMXO2HVMAC36IQ/action/storage_attestation","attest_author":"https://pith.science/pith/46T4ZW53D4SCOMXO2HVMAC36IQ/action/author_attestation","sign_citation":"https://pith.science/pith/46T4ZW53D4SCOMXO2HVMAC36IQ/action/citation_signature","submit_replication":"https://pith.science/pith/46T4ZW53D4SCOMXO2HVMAC36IQ/action/replication_record"}},"created_at":"2026-07-05T07:45:45.700392+00:00","updated_at":"2026-07-05T07:45:45.700392+00:00"}