{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:DCJVL5WUVUSR6FE6Y24CZSTGZR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d7f10b7744ea6c342b39ac0d36c20e904cb7c494bfff6d0050ac41ea6c8cafe2","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-04-25T21:22:07Z","title_canon_sha256":"565b37e32718e1655b838a5da6cdf3c7a2d37b10ded1d37227e22fd6a2dabe60"},"schema_version":"1.0","source":{"id":"1904.11596","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.11596","created_at":"2026-07-05T00:56:25Z"},{"alias_kind":"arxiv_version","alias_value":"1904.11596v2","created_at":"2026-07-05T00:56:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.11596","created_at":"2026-07-05T00:56:25Z"},{"alias_kind":"pith_short_12","alias_value":"DCJVL5WUVUSR","created_at":"2026-07-05T00:56:25Z"},{"alias_kind":"pith_short_16","alias_value":"DCJVL5WUVUSR6FE6","created_at":"2026-07-05T00:56:25Z"},{"alias_kind":"pith_short_8","alias_value":"DCJVL5WU","created_at":"2026-07-05T00:56:25Z"}],"graph_snapshots":[{"event_id":"sha256:697ee37f706e1cacad7b2c868d215a964e409fd1a2eceec602226b754f065e40","target":"graph","created_at":"2026-07-05T00:56:25Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1904.11596/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, {the goal is to design deterministic sampling patterns on the sphere and the rotation group} and, thereby, construct sensing matrices for sparse recovery of band-limited functions. It is first shown that random sensing matrices, which consists of random samples of Wigner D-functions, satisfy the Restricted Isometry Property (RIP) with proper preconditioning and can be used for sparse recovery on the rotation group. The mutual coherence, however, is used to assess the performance of deterministic and regular sensing matrices. We show that many of widely used regular sampling patt","authors_text":"Arash Behboodi, Arya Bangun, Rudolf Mathar","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-04-25T21:22:07Z","title":"Sensing Matrix Design and Sparse Recovery on the Sphere and the Rotation Group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.11596","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d41a99a331fe65e8f2973aff9d2adbf756cb15ee5ac355c1a3e1d947cfa6bd18","target":"record","created_at":"2026-07-05T00:56:25Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d7f10b7744ea6c342b39ac0d36c20e904cb7c494bfff6d0050ac41ea6c8cafe2","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-04-25T21:22:07Z","title_canon_sha256":"565b37e32718e1655b838a5da6cdf3c7a2d37b10ded1d37227e22fd6a2dabe60"},"schema_version":"1.0","source":{"id":"1904.11596","kind":"arxiv","version":2}},"canonical_sha256":"189355f6d4ad251f149ec6b82cca66cc47b4de9b68f24cf36320e1c04f10331d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"189355f6d4ad251f149ec6b82cca66cc47b4de9b68f24cf36320e1c04f10331d","first_computed_at":"2026-07-05T00:56:25.130175Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:56:25.130175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H7c7VSPVfmpQI7Tby18qbwMDY7tQa8OSm69lTm3Wl7W2GO/qCN6D53lQx0oqya7FYa5CbePyLRdJEp6IO+bjCA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:56:25.130574Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.11596","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d41a99a331fe65e8f2973aff9d2adbf756cb15ee5ac355c1a3e1d947cfa6bd18","sha256:697ee37f706e1cacad7b2c868d215a964e409fd1a2eceec602226b754f065e40"],"state_sha256":"7d07a33047d8b8813c251ce194bd742efd39f58f1c51b8f266e63be1c7e441af"}