{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VQUHPS2QY5AIQN2MDP5PZ7J6JF","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":"07089f7f6e7ece5e456baabf167f2adf52f42466e1b2ba259ee960738c3fbe4f","cross_cats_sorted":["cs.DS","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-05-22T18:35:07Z","title_canon_sha256":"4790ccc2bc979c5ba1344cb00b7f634876dc1a2bdab86e9398c1124e0851c325"},"schema_version":"1.0","source":{"id":"1406.3295","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.3295","created_at":"2026-05-18T01:42:57Z"},{"alias_kind":"arxiv_version","alias_value":"1406.3295v2","created_at":"2026-05-18T01:42:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3295","created_at":"2026-05-18T01:42:57Z"},{"alias_kind":"pith_short_12","alias_value":"VQUHPS2QY5AI","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VQUHPS2QY5AIQN2M","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VQUHPS2Q","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:db07f626bbf82c2ed51679f70150ec32abb0041b2ccc1e0e5d59b1c114e26511","target":"graph","created_at":"2026-05-18T01:42:57Z","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 framework of multidimensional Compressed Sensing (CS), we introduce an analytical reconstruction formula that allows one to recover an $N$th-order $(I_1\\times I_2\\times \\cdots \\times I_N)$ data tensor $\\underline{\\mathbf{X}}$ from a reduced set of multi-way compressive measurements by exploiting its low multilinear-rank structure. Moreover, we show that, an interesting property of multi-way measurements allows us to build the reconstruction based on compressive linear measurements taken only in two selected modes, independently of the tensor order $N$. In addition, it is proved that, in","authors_text":"Andrzej Cichocki, Cesar F. Caiafa","cross_cats":["cs.DS","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-05-22T18:35:07Z","title":"Stable, Robust and Super Fast Reconstruction of Tensors Using Multi-Way Projections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3295","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":"sha256:904970502596d1d6a16e643b74ff1c5d9502819be2a1c1c5fc6f613d46f27fa9","target":"record","created_at":"2026-05-18T01:42:57Z","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":"07089f7f6e7ece5e456baabf167f2adf52f42466e1b2ba259ee960738c3fbe4f","cross_cats_sorted":["cs.DS","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-05-22T18:35:07Z","title_canon_sha256":"4790ccc2bc979c5ba1344cb00b7f634876dc1a2bdab86e9398c1124e0851c325"},"schema_version":"1.0","source":{"id":"1406.3295","kind":"arxiv","version":2}},"canonical_sha256":"ac2877cb50c74088374c1bfafcfd3e4969b18945a656917f44573c5afe33df89","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac2877cb50c74088374c1bfafcfd3e4969b18945a656917f44573c5afe33df89","first_computed_at":"2026-05-18T01:42:57.960402Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:57.960402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jZEmjyw4ee5gHKfnSHzvNEL71hX0tsJHsJucQfBWmJNc92OKOmUh8OTUusmU2cz4YIv2xB0D60xP56aKlxaHCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:57.960949Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.3295","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:904970502596d1d6a16e643b74ff1c5d9502819be2a1c1c5fc6f613d46f27fa9","sha256:db07f626bbf82c2ed51679f70150ec32abb0041b2ccc1e0e5d59b1c114e26511"],"state_sha256":"eeb3cad1057509385423ac53cf78272027f7dfb72bc5f64a9b1e15a2fb891107"}