{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RMVJG2XAC52XQ3T7RFKF2T42CA","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":"9448acbb535f1a817261d0ee2d0beaa1f3b9e63f38a56175d1f7bbed271fa055","cross_cats_sorted":["math.IT","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-21T15:36:15Z","title_canon_sha256":"1ae693adaee353e91981b1c448adb53f7f72600016dfcf061fd4d16449ed4179"},"schema_version":"1.0","source":{"id":"1402.5324","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.5324","created_at":"2026-05-18T01:37:11Z"},{"alias_kind":"arxiv_version","alias_value":"1402.5324v2","created_at":"2026-05-18T01:37:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5324","created_at":"2026-05-18T01:37:11Z"},{"alias_kind":"pith_short_12","alias_value":"RMVJG2XAC52X","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RMVJG2XAC52XQ3T7","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RMVJG2XA","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:5d1f812a727923168d5f96618ead6e4e8d59febb47a9ef40f07489685f856aa5","target":"graph","created_at":"2026-05-18T01:37:11Z","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":"Recently, it has been shown that incoherence is an unrealistic assumption for compressed sensing when applied to many inverse problems. Instead, the key property that permits efficient recovery in such problems is so-called local incoherence. Similarly, the standard notion of sparsity is also inadequate for many real world problems. In particular, in many applications, the optimal sampling strategy depends on asymptotic incoherence and the signal sparsity structure. The purpose of this paper is to study asymptotic incoherence and its implications towards the design of optimal sampling strategi","authors_text":"Alex D. Jones, Anders C. Hansen, Ben Adcock","cross_cats":["math.IT","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-21T15:36:15Z","title":"On Asymptotic Incoherence and its Implications for Compressed Sensing of Inverse Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5324","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:e2c982343537ba3768d19d36ac3ef77b1e059353b3c9f10381a2ccab258bc98f","target":"record","created_at":"2026-05-18T01:37:11Z","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":"9448acbb535f1a817261d0ee2d0beaa1f3b9e63f38a56175d1f7bbed271fa055","cross_cats_sorted":["math.IT","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-21T15:36:15Z","title_canon_sha256":"1ae693adaee353e91981b1c448adb53f7f72600016dfcf061fd4d16449ed4179"},"schema_version":"1.0","source":{"id":"1402.5324","kind":"arxiv","version":2}},"canonical_sha256":"8b2a936ae01775786e7f89545d4f9a10345989c16ab7091013267f2c83f55cc0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b2a936ae01775786e7f89545d4f9a10345989c16ab7091013267f2c83f55cc0","first_computed_at":"2026-05-18T01:37:11.569511Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:11.569511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i3bZAcvm/6FWoX6kW8xhuCut6OjrmaAfPlN+TUqn1XFcx3c9gmb0zJFd8QPi6hrCR8mnpG7zamEhD+3k9DojBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:11.570137Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.5324","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2c982343537ba3768d19d36ac3ef77b1e059353b3c9f10381a2ccab258bc98f","sha256:5d1f812a727923168d5f96618ead6e4e8d59febb47a9ef40f07489685f856aa5"],"state_sha256":"5a9cd4d8e90608d71920d2146d6910d7fbadf9217b3f19c3e82d77578572cf52"}