{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OMIGWFVVSVDR2YDYCNDUKOJKIE","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":"f31741dbdd2d0a01f8a68a550d7049f7187402f202e27ce67806e8418d8e9ddc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-05T00:05:31Z","title_canon_sha256":"54d83162acc33b1bd2d4317a7ef2c96e4d155b70a045740398082c75e50a2a89"},"schema_version":"1.0","source":{"id":"1703.02404","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.02404","created_at":"2026-05-18T00:19:53Z"},{"alias_kind":"arxiv_version","alias_value":"1703.02404v2","created_at":"2026-05-18T00:19:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.02404","created_at":"2026-05-18T00:19:53Z"},{"alias_kind":"pith_short_12","alias_value":"OMIGWFVVSVDR","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OMIGWFVVSVDR2YDY","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OMIGWFVV","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:152f424d791f6dced9dfa1091e91423a834367b1f9e1ca460c26e297d3c2230e","target":"graph","created_at":"2026-05-18T00:19:53Z","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 realm of signal and image denoising and reconstruction, $\\ell_1$ regularization techniques have generated a great deal of attention with a multitude of variants. A key component for their success is that under certain assumptions, the solution of minimum $\\ell_1$ norm is a good approximation to the solution of minimum $\\ell_0$ norm. In this work, we demonstrate that this approximation can result in artifacts that are inconsistent with desired sparsity promoting $\\ell_0$ properties, resulting in subpar results in {some} instances. With this as our motivation, we develop a multiscale high","authors_text":"Rodrigo B. Platte, Toby Sanders","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-05T00:05:31Z","title":"Multiscale Higher Order TV Operators for L1 Regularization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.02404","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:de5ad9f8fea2631128118a0c77ef0cf9a1f6efe365b901184ca4ff8eda23d785","target":"record","created_at":"2026-05-18T00:19:53Z","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":"f31741dbdd2d0a01f8a68a550d7049f7187402f202e27ce67806e8418d8e9ddc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-05T00:05:31Z","title_canon_sha256":"54d83162acc33b1bd2d4317a7ef2c96e4d155b70a045740398082c75e50a2a89"},"schema_version":"1.0","source":{"id":"1703.02404","kind":"arxiv","version":2}},"canonical_sha256":"73106b16b595471d6078134745392a4135cb785ba3bf6aed638632fa698c6536","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73106b16b595471d6078134745392a4135cb785ba3bf6aed638632fa698c6536","first_computed_at":"2026-05-18T00:19:53.774821Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:53.774821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FiRxa+eUBsvL8sgwhCU6GhkUOh9V9xnNuSdivqLTlxcZa2dKL+VMVWUGNkEKCQ3JN/3clL4qa8FE8xI7TCJYBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:53.775436Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.02404","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de5ad9f8fea2631128118a0c77ef0cf9a1f6efe365b901184ca4ff8eda23d785","sha256:152f424d791f6dced9dfa1091e91423a834367b1f9e1ca460c26e297d3c2230e"],"state_sha256":"4f390d23fff001b0f31268e147ac5a2412a287d71c101dcfb107810a0abb2a6b"}