{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SMBYAWNQD2YPPK375M6FLQRFYF","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":"6c4c3fa73216d9852f28ba2e66af97a715b20dfee657b44870058c093d5754ea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2013-11-23T19:05:18Z","title_canon_sha256":"ee6630ce9a0fc95b83b41c70b2d4c5711f3a747af4a48c95ab2727fda8dedbf0"},"schema_version":"1.0","source":{"id":"1311.6039","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.6039","created_at":"2026-05-18T02:47:31Z"},{"alias_kind":"arxiv_version","alias_value":"1311.6039v5","created_at":"2026-05-18T02:47:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6039","created_at":"2026-05-18T02:47:31Z"},{"alias_kind":"pith_short_12","alias_value":"SMBYAWNQD2YP","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SMBYAWNQD2YPPK37","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SMBYAWNQ","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:490b04cda11e372f98de4291fde812d6cc5e002ff756ae1877bb49df2cbc217c","target":"graph","created_at":"2026-05-18T02:47:31Z","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":"Reducing acquisition time is a crucial challenge for many imaging techniques. Compressed Sensing (CS) theory offers an appealing framework to address this issue since it provides theoretical guarantees on the reconstruction of sparse signals by projection on a low dimensional linear subspace. In this paper, we focus on a setting where the imaging device allows to sense a fixed set of measurements. We first discuss the choice of an optimal sampling subspace (smallest subset) allowing perfect reconstruction of sparse signals. Its standard design relies on the random drawing of independent measur","authors_text":"Jonas Kahn, Nicolas Chauffert (INRIA Saclay - Ile de France), Philippe Ciuciu (INRIA Saclay - Ile de France), Pierre Weiss (ITAV)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2013-11-23T19:05:18Z","title":"Variable density sampling with continuous trajectories. Application to MRI"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6039","kind":"arxiv","version":5},"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":"sha256:38b652e11035e46630b00b34c51192ea37238eb681a02a9d64a519777898ed69","target":"record","created_at":"2026-05-18T02:47:31Z","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":"6c4c3fa73216d9852f28ba2e66af97a715b20dfee657b44870058c093d5754ea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2013-11-23T19:05:18Z","title_canon_sha256":"ee6630ce9a0fc95b83b41c70b2d4c5711f3a747af4a48c95ab2727fda8dedbf0"},"schema_version":"1.0","source":{"id":"1311.6039","kind":"arxiv","version":5}},"canonical_sha256":"93038059b01eb0f7ab7feb3c55c225c16770909164d24807227f76061f27fe5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93038059b01eb0f7ab7feb3c55c225c16770909164d24807227f76061f27fe5c","first_computed_at":"2026-05-18T02:47:31.420818Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:31.420818Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VV7xKTmRKxVncwXX9MWxiscvvFX0KOeaVbsEH+PZ6heIEYKR1wVZLIE2sf6Q+nkytouX0njrsFFB2pe0YrwYCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:31.421385Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.6039","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38b652e11035e46630b00b34c51192ea37238eb681a02a9d64a519777898ed69","sha256:490b04cda11e372f98de4291fde812d6cc5e002ff756ae1877bb49df2cbc217c"],"state_sha256":"e5af45c2c024551effc17bff95f09d3651d3198db761f10bdd85ebf0157e56fe"}