{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:FLON4M3TD6YISOYUTCBS5WQ2VG","short_pith_number":"pith:FLON4M3T","schema_version":"1.0","canonical_sha256":"2adcde33731fb0893b1498832eda1aa9bd6dd003a51f9e56274bde7876da6dad","source":{"kind":"arxiv","id":"1904.00727","version":1},"attestation_state":"computed","paper":{"title":"Adaptive sampling of time-space signals in a reproducing kernel subspace of mixed Lebesgue space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Wenchang Sun, Yingchun Jiang","submitted_at":"2019-04-01T12:21:35Z","abstract_excerpt":"The Mixed Lebesgue space is a suitable tool for modelling and measuring signals living in time-space domains. And sampling in such spaces plays an important role for processing high-dimensional time-varying signals. In this paper, we first define reproducing kernel subspaces of mixed Lebesgue spaces. Then, we study the frame properties and show that the reproducing kernel subspace has finite rate of innovation. Finally, we propose a semi-adaptive sampling scheme for time-space signals in a reproducing kernel subspace, where the sampling in time domain is conducted by a time encoding machine. T"},"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":"1904.00727","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-04-01T12:21:35Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ade6325e406b359b45325cdc436447414c79db4913c435d608b671db0597b299","abstract_canon_sha256":"6474ab175bbbbee3575b4fde956477bc7fbac24678a88010650a27fdf7f09acf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:45.689859Z","signature_b64":"OCGNmHXwC8uVP9mZAnIiGDfQc7C21oh/bqV9+qi4V/PhfXxv9ff+06kjTSzMOAA0W2HlEUGGbrkBM8hQ2fxHAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2adcde33731fb0893b1498832eda1aa9bd6dd003a51f9e56274bde7876da6dad","last_reissued_at":"2026-05-17T23:49:45.689420Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:45.689420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Adaptive sampling of time-space signals in a reproducing kernel subspace of mixed Lebesgue space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Wenchang Sun, Yingchun Jiang","submitted_at":"2019-04-01T12:21:35Z","abstract_excerpt":"The Mixed Lebesgue space is a suitable tool for modelling and measuring signals living in time-space domains. And sampling in such spaces plays an important role for processing high-dimensional time-varying signals. In this paper, we first define reproducing kernel subspaces of mixed Lebesgue spaces. Then, we study the frame properties and show that the reproducing kernel subspace has finite rate of innovation. Finally, we propose a semi-adaptive sampling scheme for time-space signals in a reproducing kernel subspace, where the sampling in time domain is conducted by a time encoding machine. T"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.00727","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":""},"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":"1904.00727","created_at":"2026-05-17T23:49:45.689487+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.00727v1","created_at":"2026-05-17T23:49:45.689487+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.00727","created_at":"2026-05-17T23:49:45.689487+00:00"},{"alias_kind":"pith_short_12","alias_value":"FLON4M3TD6YI","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_16","alias_value":"FLON4M3TD6YISOYU","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_8","alias_value":"FLON4M3T","created_at":"2026-05-18T12:33:15.570797+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/FLON4M3TD6YISOYUTCBS5WQ2VG","json":"https://pith.science/pith/FLON4M3TD6YISOYUTCBS5WQ2VG.json","graph_json":"https://pith.science/api/pith-number/FLON4M3TD6YISOYUTCBS5WQ2VG/graph.json","events_json":"https://pith.science/api/pith-number/FLON4M3TD6YISOYUTCBS5WQ2VG/events.json","paper":"https://pith.science/paper/FLON4M3T"},"agent_actions":{"view_html":"https://pith.science/pith/FLON4M3TD6YISOYUTCBS5WQ2VG","download_json":"https://pith.science/pith/FLON4M3TD6YISOYUTCBS5WQ2VG.json","view_paper":"https://pith.science/paper/FLON4M3T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.00727&json=true","fetch_graph":"https://pith.science/api/pith-number/FLON4M3TD6YISOYUTCBS5WQ2VG/graph.json","fetch_events":"https://pith.science/api/pith-number/FLON4M3TD6YISOYUTCBS5WQ2VG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FLON4M3TD6YISOYUTCBS5WQ2VG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FLON4M3TD6YISOYUTCBS5WQ2VG/action/storage_attestation","attest_author":"https://pith.science/pith/FLON4M3TD6YISOYUTCBS5WQ2VG/action/author_attestation","sign_citation":"https://pith.science/pith/FLON4M3TD6YISOYUTCBS5WQ2VG/action/citation_signature","submit_replication":"https://pith.science/pith/FLON4M3TD6YISOYUTCBS5WQ2VG/action/replication_record"}},"created_at":"2026-05-17T23:49:45.689487+00:00","updated_at":"2026-05-17T23:49:45.689487+00:00"}