{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:SZUKIRAMRA4ZXNW7OV537VJ3TD","short_pith_number":"pith:SZUKIRAM","schema_version":"1.0","canonical_sha256":"9668a4440c88399bb6df757bbfd53b98d21a4adcdc4c75e8f0f2955ed5cb8bb6","source":{"kind":"arxiv","id":"1410.5872","version":1},"attestation_state":"computed","paper":{"title":"System Approximations and Generalized Measurements in Modern Sampling Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","math.IT"],"primary_cat":"cs.IT","authors_text":"Holger Boche, Volker Pohl","submitted_at":"2014-10-21T22:15:53Z","abstract_excerpt":"This paper studies several aspects of signal reconstruction of sampled data in spaces of bandlimited functions. In the first part, signal spaces are characterized in which the classical sampling series uniformly converge, and we investigate whether adaptive recovery algorithms can yield uniform convergence in spaces where non-adaptive sampling series does not. In particular, it is shown that the investigation of adaptive signal recovery algorithms needs completely new analytic tools since the methods used for non-adaptive reconstruction procedures, which are based on the celebrated Banach-Stei"},"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":"1410.5872","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-10-21T22:15:53Z","cross_cats_sorted":["math.FA","math.IT"],"title_canon_sha256":"500bf01fbfc00fd7a898c6a8276e5539f1c4532942368fa084aa87a49059ebb8","abstract_canon_sha256":"404c246b8a0614522567c811d679d6a7aa965a2cbadd8724c838a503c0701978"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:33.041108Z","signature_b64":"fnNqcUyV8Yguh+3xjj5lW9d5B9oIZRe8rW82d7Hc3T5kxB+0TCKv4160jC4LUq0GqvpkhMzwadIUqJqAR8Y9Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9668a4440c88399bb6df757bbfd53b98d21a4adcdc4c75e8f0f2955ed5cb8bb6","last_reissued_at":"2026-05-18T02:39:33.040660Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:33.040660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"System Approximations and Generalized Measurements in Modern Sampling Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","math.IT"],"primary_cat":"cs.IT","authors_text":"Holger Boche, Volker Pohl","submitted_at":"2014-10-21T22:15:53Z","abstract_excerpt":"This paper studies several aspects of signal reconstruction of sampled data in spaces of bandlimited functions. In the first part, signal spaces are characterized in which the classical sampling series uniformly converge, and we investigate whether adaptive recovery algorithms can yield uniform convergence in spaces where non-adaptive sampling series does not. In particular, it is shown that the investigation of adaptive signal recovery algorithms needs completely new analytic tools since the methods used for non-adaptive reconstruction procedures, which are based on the celebrated Banach-Stei"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.5872","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":"1410.5872","created_at":"2026-05-18T02:39:33.040727+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.5872v1","created_at":"2026-05-18T02:39:33.040727+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.5872","created_at":"2026-05-18T02:39:33.040727+00:00"},{"alias_kind":"pith_short_12","alias_value":"SZUKIRAMRA4Z","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"SZUKIRAMRA4ZXNW7","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"SZUKIRAM","created_at":"2026-05-18T12:28:49.207871+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/SZUKIRAMRA4ZXNW7OV537VJ3TD","json":"https://pith.science/pith/SZUKIRAMRA4ZXNW7OV537VJ3TD.json","graph_json":"https://pith.science/api/pith-number/SZUKIRAMRA4ZXNW7OV537VJ3TD/graph.json","events_json":"https://pith.science/api/pith-number/SZUKIRAMRA4ZXNW7OV537VJ3TD/events.json","paper":"https://pith.science/paper/SZUKIRAM"},"agent_actions":{"view_html":"https://pith.science/pith/SZUKIRAMRA4ZXNW7OV537VJ3TD","download_json":"https://pith.science/pith/SZUKIRAMRA4ZXNW7OV537VJ3TD.json","view_paper":"https://pith.science/paper/SZUKIRAM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.5872&json=true","fetch_graph":"https://pith.science/api/pith-number/SZUKIRAMRA4ZXNW7OV537VJ3TD/graph.json","fetch_events":"https://pith.science/api/pith-number/SZUKIRAMRA4ZXNW7OV537VJ3TD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SZUKIRAMRA4ZXNW7OV537VJ3TD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SZUKIRAMRA4ZXNW7OV537VJ3TD/action/storage_attestation","attest_author":"https://pith.science/pith/SZUKIRAMRA4ZXNW7OV537VJ3TD/action/author_attestation","sign_citation":"https://pith.science/pith/SZUKIRAMRA4ZXNW7OV537VJ3TD/action/citation_signature","submit_replication":"https://pith.science/pith/SZUKIRAMRA4ZXNW7OV537VJ3TD/action/replication_record"}},"created_at":"2026-05-18T02:39:33.040727+00:00","updated_at":"2026-05-18T02:39:33.040727+00:00"}