{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:T2JGBBFM4NDFT3QI6PZXNV63LT","short_pith_number":"pith:T2JGBBFM","canonical_record":{"source":{"id":"1202.2223","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-02-10T09:57:04Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"67249ad6087c7ebfabd3d38fbdc6ccb302310df052b70cd8905ef463b33f6ca6","abstract_canon_sha256":"f7fcf10ef6b27d0c06b4ef849c697f1223a0ebfc63423d8888ba78ac53cdaac9"},"schema_version":"1.0"},"canonical_sha256":"9e926084ace34659ee08f3f376d7db5cfbaac8b34b941762cd877379130d75de","source":{"kind":"arxiv","id":"1202.2223","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.2223","created_at":"2026-05-18T03:12:46Z"},{"alias_kind":"arxiv_version","alias_value":"1202.2223v2","created_at":"2026-05-18T03:12:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.2223","created_at":"2026-05-18T03:12:46Z"},{"alias_kind":"pith_short_12","alias_value":"T2JGBBFM4NDF","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"T2JGBBFM4NDFT3QI","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"T2JGBBFM","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:T2JGBBFM4NDFT3QI6PZXNV63LT","target":"record","payload":{"canonical_record":{"source":{"id":"1202.2223","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-02-10T09:57:04Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"67249ad6087c7ebfabd3d38fbdc6ccb302310df052b70cd8905ef463b33f6ca6","abstract_canon_sha256":"f7fcf10ef6b27d0c06b4ef849c697f1223a0ebfc63423d8888ba78ac53cdaac9"},"schema_version":"1.0"},"canonical_sha256":"9e926084ace34659ee08f3f376d7db5cfbaac8b34b941762cd877379130d75de","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:12:46.601049Z","signature_b64":"DlaNsS6WnLQTkL+somzg1oN6ilFPpv5guxeI5/XsRZ1N+Cos5zfkCFgTFnAOXbjJ2iKNG+0d8RRObm0Da9EBBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e926084ace34659ee08f3f376d7db5cfbaac8b34b941762cd877379130d75de","last_reissued_at":"2026-05-18T03:12:46.600376Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:12:46.600376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.2223","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:12:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+DKcRif69BwklaAY6CQpBBIh8zLX8kb6kEOfUXxisrXFuJ3PQKcB0cF8CZvFLZWTvdwspPB1TyAdQcv5uvD7Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:35:34.377028Z"},"content_sha256":"ff8f30dc008c6f43146f7874a267bb09cfebcd78c588dd469f3957bf1865b9bb","schema_version":"1.0","event_id":"sha256:ff8f30dc008c6f43146f7874a267bb09cfebcd78c588dd469f3957bf1865b9bb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:T2JGBBFM4NDFT3QI6PZXNV63LT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Performance Analysis of $\\ell_1$-synthesis with Coherent Frames","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Shidong Li, Tiebin Mi, Yulong Liu","submitted_at":"2012-02-10T09:57:04Z","abstract_excerpt":"Signals with sparse frame representations comprise a much more realistic model of nature than that with orthonomal bases. Studies about the signal recovery associated with such sparsity models have been one of major focuses in compressed sensing. In such settings, one important and widely used signal recovery approach is known as $\\ell_1$-synthesis (or Basis Pursuit). We present in this article a more effective performance analysis (than what are available) of this approach in which the dictionary $\\Dbf$ may be highly, and even perfectly correlated. Under suitable conditions on the sensing mat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2223","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:12:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4uJNBqTFNcVXG9bJOqr79+Cb02SWSL7Njeod4vJIxPtFY2rGqQt0Zuo3w8uir5ahVeXR7eUhH3kqDlBFynC3DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:35:34.377381Z"},"content_sha256":"4490cb14c93ca0c2c2d492fdcbcd57c11cbaba5a732067c3bb3bd5df221ad513","schema_version":"1.0","event_id":"sha256:4490cb14c93ca0c2c2d492fdcbcd57c11cbaba5a732067c3bb3bd5df221ad513"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T2JGBBFM4NDFT3QI6PZXNV63LT/bundle.json","state_url":"https://pith.science/pith/T2JGBBFM4NDFT3QI6PZXNV63LT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T2JGBBFM4NDFT3QI6PZXNV63LT/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T06:35:34Z","links":{"resolver":"https://pith.science/pith/T2JGBBFM4NDFT3QI6PZXNV63LT","bundle":"https://pith.science/pith/T2JGBBFM4NDFT3QI6PZXNV63LT/bundle.json","state":"https://pith.science/pith/T2JGBBFM4NDFT3QI6PZXNV63LT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T2JGBBFM4NDFT3QI6PZXNV63LT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:T2JGBBFM4NDFT3QI6PZXNV63LT","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":"f7fcf10ef6b27d0c06b4ef849c697f1223a0ebfc63423d8888ba78ac53cdaac9","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-02-10T09:57:04Z","title_canon_sha256":"67249ad6087c7ebfabd3d38fbdc6ccb302310df052b70cd8905ef463b33f6ca6"},"schema_version":"1.0","source":{"id":"1202.2223","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.2223","created_at":"2026-05-18T03:12:46Z"},{"alias_kind":"arxiv_version","alias_value":"1202.2223v2","created_at":"2026-05-18T03:12:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.2223","created_at":"2026-05-18T03:12:46Z"},{"alias_kind":"pith_short_12","alias_value":"T2JGBBFM4NDF","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"T2JGBBFM4NDFT3QI","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"T2JGBBFM","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:4490cb14c93ca0c2c2d492fdcbcd57c11cbaba5a732067c3bb3bd5df221ad513","target":"graph","created_at":"2026-05-18T03:12:46Z","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":"Signals with sparse frame representations comprise a much more realistic model of nature than that with orthonomal bases. Studies about the signal recovery associated with such sparsity models have been one of major focuses in compressed sensing. In such settings, one important and widely used signal recovery approach is known as $\\ell_1$-synthesis (or Basis Pursuit). We present in this article a more effective performance analysis (than what are available) of this approach in which the dictionary $\\Dbf$ may be highly, and even perfectly correlated. Under suitable conditions on the sensing mat","authors_text":"Shidong Li, Tiebin Mi, Yulong Liu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-02-10T09:57:04Z","title":"Performance Analysis of $\\ell_1$-synthesis with Coherent Frames"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2223","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:ff8f30dc008c6f43146f7874a267bb09cfebcd78c588dd469f3957bf1865b9bb","target":"record","created_at":"2026-05-18T03:12:46Z","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":"f7fcf10ef6b27d0c06b4ef849c697f1223a0ebfc63423d8888ba78ac53cdaac9","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-02-10T09:57:04Z","title_canon_sha256":"67249ad6087c7ebfabd3d38fbdc6ccb302310df052b70cd8905ef463b33f6ca6"},"schema_version":"1.0","source":{"id":"1202.2223","kind":"arxiv","version":2}},"canonical_sha256":"9e926084ace34659ee08f3f376d7db5cfbaac8b34b941762cd877379130d75de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e926084ace34659ee08f3f376d7db5cfbaac8b34b941762cd877379130d75de","first_computed_at":"2026-05-18T03:12:46.600376Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:12:46.600376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DlaNsS6WnLQTkL+somzg1oN6ilFPpv5guxeI5/XsRZ1N+Cos5zfkCFgTFnAOXbjJ2iKNG+0d8RRObm0Da9EBBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:12:46.601049Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.2223","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff8f30dc008c6f43146f7874a267bb09cfebcd78c588dd469f3957bf1865b9bb","sha256:4490cb14c93ca0c2c2d492fdcbcd57c11cbaba5a732067c3bb3bd5df221ad513"],"state_sha256":"cc738b00d8ba2303f58001ed77d551320ca1bde39c23cf7660534e6a630506e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+IzfpD7dg4geWnOozSBfqc10hmctdRxHQ9YucRE/OdrXiOEna8uXZLgjlOGM7nqGQkENQdxYimUIOF1Ph3EICg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T06:35:34.379399Z","bundle_sha256":"8b9836bc83d0731cf2f237bfd6c4549fdc2cbc3cb275dced395916838bf5b3ae"}}