{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5HH5QF3EUDZ5VENHIRKUTPBO5E","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":"53e8ef20f9074b318ac6551887401fd95e5df68adea213fc051da2a587539e81","cross_cats_sorted":["math.IT","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-28T17:01:13Z","title_canon_sha256":"16c07c7d5420b3934559bee4081168f7c5e4e9fcd76d81ce4dccbcc6239c80db"},"schema_version":"1.0","source":{"id":"1309.7478","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.7478","created_at":"2026-05-18T03:11:58Z"},{"alias_kind":"arxiv_version","alias_value":"1309.7478v1","created_at":"2026-05-18T03:11:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.7478","created_at":"2026-05-18T03:11:58Z"},{"alias_kind":"pith_short_12","alias_value":"5HH5QF3EUDZ5","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5HH5QF3EUDZ5VENH","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5HH5QF3E","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:e4b146359c656b7566c527ced847d01b09a5a6bc6119510e78dfceb5eb75047a","target":"graph","created_at":"2026-05-18T03:11:58Z","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":"Demixing is the problem of identifying multiple structured signals from a superimposed, undersampled, and noisy observation. This work analyzes a general framework, based on convex optimization, for solving demixing problems. When the constituent signals follow a generic incoherence model, this analysis leads to precise recovery guarantees. These results admit an attractive interpretation: each signal possesses an intrinsic degrees-of-freedom parameter, and demixing can succeed if and only if the dimension of the observation exceeds the total degrees of freedom present in the observation.","authors_text":"Joel A. Tropp, Michael B. McCoy","cross_cats":["math.IT","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-28T17:01:13Z","title":"The achievable performance of convex demixing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.7478","kind":"arxiv","version":1},"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":"sha256:04b2c8fc53e55d2f8f7e30a453d90fc820ed61a8570402106453e157c1017c8f","target":"record","created_at":"2026-05-18T03:11:58Z","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":"53e8ef20f9074b318ac6551887401fd95e5df68adea213fc051da2a587539e81","cross_cats_sorted":["math.IT","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-28T17:01:13Z","title_canon_sha256":"16c07c7d5420b3934559bee4081168f7c5e4e9fcd76d81ce4dccbcc6239c80db"},"schema_version":"1.0","source":{"id":"1309.7478","kind":"arxiv","version":1}},"canonical_sha256":"e9cfd81764a0f3da91a7445549bc2ee9309bd2a9cfd8a634468783789a25fb79","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e9cfd81764a0f3da91a7445549bc2ee9309bd2a9cfd8a634468783789a25fb79","first_computed_at":"2026-05-18T03:11:58.575381Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:58.575381Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9qEae4CwEnHSJB2OljWNpEx8ymdaeJD/aMHKhMJwj8LAvcCh4b+WcqTulC1sQftNYp6cNpD+/w0TRk9WG5FoCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:58.575960Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.7478","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04b2c8fc53e55d2f8f7e30a453d90fc820ed61a8570402106453e157c1017c8f","sha256:e4b146359c656b7566c527ced847d01b09a5a6bc6119510e78dfceb5eb75047a"],"state_sha256":"ffc6bcd8b3377936a2423f482227be36bdeb217df3c6d435e4a846fd769c46c7"}