{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:KWKBQLEIWT4V5CHLZKHRCGZZQ5","short_pith_number":"pith:KWKBQLEI","schema_version":"1.0","canonical_sha256":"5594182c88b4f95e88ebca8f111b39874596bbd01172592b61bb74c25ccf1547","source":{"kind":"arxiv","id":"1503.08590","version":2},"attestation_state":"computed","paper":{"title":"An uncertainty principle and sampling inequalities in Besov spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CA","authors_text":"Eugenia Malinnikova, Philippe Jaming (IMB)","submitted_at":"2015-03-30T08:35:11Z","abstract_excerpt":"We extend Strichartz's uncertainty principle [18] from the setting of the Sobolov space W 1,2 (R) to more general Besov spaces B 1/p p,1 (R). The main result gives an estimate from below of the trace of a function from the Besov space on a uniformly distributed discrete subset. We also prove the corresponding result in the multivariate case and discuss some applications to irregular approximate sampling in critical Besov spaces."},"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":"1503.08590","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-03-30T08:35:11Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"d35947b9cb813a3d914ed18cad8c551128b59d8ab4cbd5bc336448d1795676f5","abstract_canon_sha256":"d1b21e4de1581d5c1d0a8016f205639c1376fd1b466aec0b4fe2aba1dcf48d25"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:40.613299Z","signature_b64":"Xj8Y+LqAmqjmZIW8ScjQ/Um7jpzQKBvOH6qlsO0T2xJpqA5WCi7Mb6EqAvu74jj70AcLxxGBHZnf4O0h4368BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5594182c88b4f95e88ebca8f111b39874596bbd01172592b61bb74c25ccf1547","last_reissued_at":"2026-05-18T00:50:40.612633Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:40.612633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An uncertainty principle and sampling inequalities in Besov spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CA","authors_text":"Eugenia Malinnikova, Philippe Jaming (IMB)","submitted_at":"2015-03-30T08:35:11Z","abstract_excerpt":"We extend Strichartz's uncertainty principle [18] from the setting of the Sobolov space W 1,2 (R) to more general Besov spaces B 1/p p,1 (R). The main result gives an estimate from below of the trace of a function from the Besov space on a uniformly distributed discrete subset. We also prove the corresponding result in the multivariate case and discuss some applications to irregular approximate sampling in critical Besov spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.08590","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":""},"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":"1503.08590","created_at":"2026-05-18T00:50:40.612725+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.08590v2","created_at":"2026-05-18T00:50:40.612725+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.08590","created_at":"2026-05-18T00:50:40.612725+00:00"},{"alias_kind":"pith_short_12","alias_value":"KWKBQLEIWT4V","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_16","alias_value":"KWKBQLEIWT4V5CHL","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_8","alias_value":"KWKBQLEI","created_at":"2026-05-18T12:29:29.992203+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/KWKBQLEIWT4V5CHLZKHRCGZZQ5","json":"https://pith.science/pith/KWKBQLEIWT4V5CHLZKHRCGZZQ5.json","graph_json":"https://pith.science/api/pith-number/KWKBQLEIWT4V5CHLZKHRCGZZQ5/graph.json","events_json":"https://pith.science/api/pith-number/KWKBQLEIWT4V5CHLZKHRCGZZQ5/events.json","paper":"https://pith.science/paper/KWKBQLEI"},"agent_actions":{"view_html":"https://pith.science/pith/KWKBQLEIWT4V5CHLZKHRCGZZQ5","download_json":"https://pith.science/pith/KWKBQLEIWT4V5CHLZKHRCGZZQ5.json","view_paper":"https://pith.science/paper/KWKBQLEI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.08590&json=true","fetch_graph":"https://pith.science/api/pith-number/KWKBQLEIWT4V5CHLZKHRCGZZQ5/graph.json","fetch_events":"https://pith.science/api/pith-number/KWKBQLEIWT4V5CHLZKHRCGZZQ5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KWKBQLEIWT4V5CHLZKHRCGZZQ5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KWKBQLEIWT4V5CHLZKHRCGZZQ5/action/storage_attestation","attest_author":"https://pith.science/pith/KWKBQLEIWT4V5CHLZKHRCGZZQ5/action/author_attestation","sign_citation":"https://pith.science/pith/KWKBQLEIWT4V5CHLZKHRCGZZQ5/action/citation_signature","submit_replication":"https://pith.science/pith/KWKBQLEIWT4V5CHLZKHRCGZZQ5/action/replication_record"}},"created_at":"2026-05-18T00:50:40.612725+00:00","updated_at":"2026-05-18T00:50:40.612725+00:00"}