{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:36KWTYLJUS6XJI535WJ36LEMZT","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":"36a164be17f0e62045e53d46bef962b705af7ff996daaaae38bd5d000cce9d14","cross_cats_sorted":["math.IT","math.ST","stat.ME","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-04-19T00:43:05Z","title_canon_sha256":"7f9e59e548dae6009b94c5fd9c8ad77bb8e119c733aa28b2f69ca54ef367b39e"},"schema_version":"1.0","source":{"id":"1204.4227","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.4227","created_at":"2026-05-18T03:32:45Z"},{"alias_kind":"arxiv_version","alias_value":"1204.4227v2","created_at":"2026-05-18T03:32:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.4227","created_at":"2026-05-18T03:32:45Z"},{"alias_kind":"pith_short_12","alias_value":"36KWTYLJUS6X","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"36KWTYLJUS6XJI53","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"36KWTYLJ","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:87e34fc225dc28be9b11abac59cfe83628dbf9df3ff94229f0c530182a5a60ca","target":"graph","created_at":"2026-05-18T03:32:45Z","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"},"paper":{"abstract_excerpt":"In the theory of compressed sensing (CS), the sparsity ||x||_0 of the unknown signal x\\in\\R^p is commonly assumed to be a known parameter. However, it is typically unknown in practice. Due to the fact that many aspects of CS depend on knowing ||x||_0, it is important to estimate this parameter in a data-driven way. A second practical concern is that ||x||_0 is a highly unstable function of x. In particular, for real signals with entries not exactly equal to 0, the value ||x||_0=p is not a useful description of the effective number of coordinates. In this paper, we propose to estimate a stable ","authors_text":"Miles E. Lopes","cross_cats":["math.IT","math.ST","stat.ME","stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-04-19T00:43:05Z","title":"Estimating Unknown Sparsity in Compressed Sensing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.4227","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":"sha256:94f3e541093f401b4c39d4026f8345e1527f2dc8cfe5abb24ee9e1902eadbb32","target":"record","created_at":"2026-05-18T03:32:45Z","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":"36a164be17f0e62045e53d46bef962b705af7ff996daaaae38bd5d000cce9d14","cross_cats_sorted":["math.IT","math.ST","stat.ME","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-04-19T00:43:05Z","title_canon_sha256":"7f9e59e548dae6009b94c5fd9c8ad77bb8e119c733aa28b2f69ca54ef367b39e"},"schema_version":"1.0","source":{"id":"1204.4227","kind":"arxiv","version":2}},"canonical_sha256":"df9569e169a4bd74a3bbed93bf2c8cccfa7b505c039928c090221acbe1ada255","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df9569e169a4bd74a3bbed93bf2c8cccfa7b505c039928c090221acbe1ada255","first_computed_at":"2026-05-18T03:32:45.345454Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:45.345454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TgmGMrnZqshNRle4Aooe/wPcvKZFjK8WS5zkuH5mZSFfFE2k985AnSXr7L5qbPajW8UYvmVaxsxLsnaP32EADA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:45.346258Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.4227","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94f3e541093f401b4c39d4026f8345e1527f2dc8cfe5abb24ee9e1902eadbb32","sha256:87e34fc225dc28be9b11abac59cfe83628dbf9df3ff94229f0c530182a5a60ca"],"state_sha256":"008fc747ccef6fb4275117072e9bb7345690242da697639834872b284656e99d"}