{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZDTF52ZPNMSFLLPFPWJWDVNJN2","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":"8a4a7b8bc8bfa83280753a0ddc8e93171c620cbee35f5a039c939cbe68287826","cross_cats_sorted":["cs.DS","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-11-02T03:57:59Z","title_canon_sha256":"62861113093a39171e521920eba80c0f436890f9cddf7a6d085b2d2e5258ae72"},"schema_version":"1.0","source":{"id":"1211.0361","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.0361","created_at":"2026-05-18T03:41:41Z"},{"alias_kind":"arxiv_version","alias_value":"1211.0361v1","created_at":"2026-05-18T03:41:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.0361","created_at":"2026-05-18T03:41:41Z"},{"alias_kind":"pith_short_12","alias_value":"ZDTF52ZPNMSF","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZDTF52ZPNMSFLLPF","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZDTF52ZP","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:f045dc9779710b9e89593a280be0d52c0926faf44051e3d0ab0630afba535f52","target":"graph","created_at":"2026-05-18T03:41:41Z","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":"We consider a streaming data model in which n sensors observe individual streams of data, presented in a turnstile model. Our goal is to analyze the singular value decomposition (SVD) of the matrix of data defined implicitly by the stream of updates. Each column i of the data matrix is given by the stream of updates seen at sensor i. Our approach is to sketch each column of the matrix, forming a \"sketch matrix\" Y, and then to compute the SVD of the sketch matrix. We show that the singular values and right singular vectors of Y are close to those of X, with small relative error. We also believe","authors_text":"Anna C. Gilbert, Jae Young Park, Michael B. Wakin","cross_cats":["cs.DS","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-11-02T03:57:59Z","title":"Sketched SVD: Recovering Spectral Features from Compressive Measurements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.0361","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":"sha256:4af952e48a411336c7e06781cff5c97697ec3490058996fcc0bd9cc886afc083","target":"record","created_at":"2026-05-18T03:41:41Z","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":"8a4a7b8bc8bfa83280753a0ddc8e93171c620cbee35f5a039c939cbe68287826","cross_cats_sorted":["cs.DS","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-11-02T03:57:59Z","title_canon_sha256":"62861113093a39171e521920eba80c0f436890f9cddf7a6d085b2d2e5258ae72"},"schema_version":"1.0","source":{"id":"1211.0361","kind":"arxiv","version":1}},"canonical_sha256":"c8e65eeb2f6b2455ade57d9361d5a96ea218a28afca657e870dd1de8f2de8c53","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c8e65eeb2f6b2455ade57d9361d5a96ea218a28afca657e870dd1de8f2de8c53","first_computed_at":"2026-05-18T03:41:41.277815Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:41.277815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fOjYZB/KSFUg8IrJMooQ5fBzhqO9mRdLTkNAr3t3UkabKzZiyWdRWb33nVFu084HzgpTl5P1kaXirTLYdQHWCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:41.278684Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.0361","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4af952e48a411336c7e06781cff5c97697ec3490058996fcc0bd9cc886afc083","sha256:f045dc9779710b9e89593a280be0d52c0926faf44051e3d0ab0630afba535f52"],"state_sha256":"36777ba426825be6c3a2e7cb135d48d83bf766bf650aaefccce71dadec73d912"}