{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:SLEYAEVCSRBEWF3R2BN4T6QAYK","short_pith_number":"pith:SLEYAEVC","schema_version":"1.0","canonical_sha256":"92c98012a294424b1771d05bc9fa00c28eae7297425f1cd6cb3ee8645c254532","source":{"kind":"arxiv","id":"2506.05493","version":2},"attestation_state":"computed","paper":{"title":"Orthonormal Strichartz estimates for Dunkl-Schr\\\"{o}dinger equation of initial data with Sobolev regularity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Guoxia Feng, Huoxiong Wu, Manli Song, Shyam Swarup Mondal","submitted_at":"2025-06-05T18:18:18Z","abstract_excerpt":"Let $\\Delta_\\kappa$ be the Dunkl-Laplacian on $\\mathbb{R}^n$. The main aim of this paper is to investigate the orthonormal Strichartz estimates for the Schr\\\"odinger equation with initial data from the homogeneous Dunkl-Sobolev space $\\dot{H}_\\kappa^s (\\mathbb{R}^n)$. Our approach is based on restricted weak-type orthonormal estimates, frequency-localized estimates for the Dunkl-Schr\\\"odinger propagator $e^{it\\Delta_\\kappa}$, and a series of successive real and complex interpolation techniques."},"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":"2506.05493","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.FA","submitted_at":"2025-06-05T18:18:18Z","cross_cats_sorted":[],"title_canon_sha256":"68f8eea41c7279e788b2ddceb9ac97b923098ddecc191076b33771dfc5a9138c","abstract_canon_sha256":"0f1a83cbc4fcdc8cc014393d0edd4104511de806d0d6d8de6ea99976e5083785"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:18:43.514538Z","signature_b64":"wV95WjHyC5Mz2VZ1M/uPcQDyT2f88F2msHaERO4OZIHOVMiw0dpzUqNF+N858nhZz64HbjdaiTUh3fB3KX1MBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92c98012a294424b1771d05bc9fa00c28eae7297425f1cd6cb3ee8645c254532","last_reissued_at":"2026-07-05T11:18:43.514108Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:18:43.514108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Orthonormal Strichartz estimates for Dunkl-Schr\\\"{o}dinger equation of initial data with Sobolev regularity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Guoxia Feng, Huoxiong Wu, Manli Song, Shyam Swarup Mondal","submitted_at":"2025-06-05T18:18:18Z","abstract_excerpt":"Let $\\Delta_\\kappa$ be the Dunkl-Laplacian on $\\mathbb{R}^n$. The main aim of this paper is to investigate the orthonormal Strichartz estimates for the Schr\\\"odinger equation with initial data from the homogeneous Dunkl-Sobolev space $\\dot{H}_\\kappa^s (\\mathbb{R}^n)$. Our approach is based on restricted weak-type orthonormal estimates, frequency-localized estimates for the Dunkl-Schr\\\"odinger propagator $e^{it\\Delta_\\kappa}$, and a series of successive real and complex interpolation techniques."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.05493","kind":"arxiv","version":2},"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/2506.05493/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":"2506.05493","created_at":"2026-07-05T11:18:43.514161+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.05493v2","created_at":"2026-07-05T11:18:43.514161+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.05493","created_at":"2026-07-05T11:18:43.514161+00:00"},{"alias_kind":"pith_short_12","alias_value":"SLEYAEVCSRBE","created_at":"2026-07-05T11:18:43.514161+00:00"},{"alias_kind":"pith_short_16","alias_value":"SLEYAEVCSRBEWF3R","created_at":"2026-07-05T11:18:43.514161+00:00"},{"alias_kind":"pith_short_8","alias_value":"SLEYAEVC","created_at":"2026-07-05T11:18:43.514161+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.14974","citing_title":"Strichartz estimates involving orthonormal systems at the critical summability exponent","ref_index":9,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SLEYAEVCSRBEWF3R2BN4T6QAYK","json":"https://pith.science/pith/SLEYAEVCSRBEWF3R2BN4T6QAYK.json","graph_json":"https://pith.science/api/pith-number/SLEYAEVCSRBEWF3R2BN4T6QAYK/graph.json","events_json":"https://pith.science/api/pith-number/SLEYAEVCSRBEWF3R2BN4T6QAYK/events.json","paper":"https://pith.science/paper/SLEYAEVC"},"agent_actions":{"view_html":"https://pith.science/pith/SLEYAEVCSRBEWF3R2BN4T6QAYK","download_json":"https://pith.science/pith/SLEYAEVCSRBEWF3R2BN4T6QAYK.json","view_paper":"https://pith.science/paper/SLEYAEVC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.05493&json=true","fetch_graph":"https://pith.science/api/pith-number/SLEYAEVCSRBEWF3R2BN4T6QAYK/graph.json","fetch_events":"https://pith.science/api/pith-number/SLEYAEVCSRBEWF3R2BN4T6QAYK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SLEYAEVCSRBEWF3R2BN4T6QAYK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SLEYAEVCSRBEWF3R2BN4T6QAYK/action/storage_attestation","attest_author":"https://pith.science/pith/SLEYAEVCSRBEWF3R2BN4T6QAYK/action/author_attestation","sign_citation":"https://pith.science/pith/SLEYAEVCSRBEWF3R2BN4T6QAYK/action/citation_signature","submit_replication":"https://pith.science/pith/SLEYAEVCSRBEWF3R2BN4T6QAYK/action/replication_record"}},"created_at":"2026-07-05T11:18:43.514161+00:00","updated_at":"2026-07-05T11:18:43.514161+00:00"}