{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:KBA6P6YSSDIFMHTXBGRYBTQ66X","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":"f40327f39155bb8a118409f1adf609bc47dccc5f793629ac51df7d8ee0756dea","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-02-17T10:00:19Z","title_canon_sha256":"466ce9001c96d71aa59af28fdc1db37c044893944765248c70990820ccd62147"},"schema_version":"1.0","source":{"id":"1002.3234","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.3234","created_at":"2026-05-18T00:59:11Z"},{"alias_kind":"arxiv_version","alias_value":"1002.3234v2","created_at":"2026-05-18T00:59:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.3234","created_at":"2026-05-18T00:59:11Z"},{"alias_kind":"pith_short_12","alias_value":"KBA6P6YSSDIF","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KBA6P6YSSDIFMHTX","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KBA6P6YS","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:ea254aafdc351f1fb3d230890ccc5f97e5bc9fa82906a9c630a554a8ce5d134a","target":"graph","created_at":"2026-05-18T00:59:11Z","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":"We consider the problem of subspace estimation in situations where the number of available snapshots and the observation dimension are comparable in magnitude. In this context, traditional subspace methods tend to fail because the eigenvectors of the sample correlation matrix are heavily biased with respect to the true ones. It has recently been suggested that this situation (where the sample size is small compared to the observation dimension) can be very accurately modeled by considering the asymptotic regime where the observation dimension $M$ and the number of snapshots $N$ converge to $+\\","authors_text":"Pascal Vallet, Philippe Loubaton, Xavier Mestre","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-02-17T10:00:19Z","title":"Improved subspace estimation for multivariate observations of high dimension: the deterministic signals case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.3234","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:d7abee0a5bda0e582a141143757f986b78e51f33dead32ac28544b9db780f1e1","target":"record","created_at":"2026-05-18T00:59:11Z","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":"f40327f39155bb8a118409f1adf609bc47dccc5f793629ac51df7d8ee0756dea","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-02-17T10:00:19Z","title_canon_sha256":"466ce9001c96d71aa59af28fdc1db37c044893944765248c70990820ccd62147"},"schema_version":"1.0","source":{"id":"1002.3234","kind":"arxiv","version":2}},"canonical_sha256":"5041e7fb1290d0561e7709a380ce1ef5c8a3bda4e4cd23d31125fd4b5ad2cca8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5041e7fb1290d0561e7709a380ce1ef5c8a3bda4e4cd23d31125fd4b5ad2cca8","first_computed_at":"2026-05-18T00:59:11.047421Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:11.047421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8LjFjJbxdcgJHrgBeXce75dUOi7oJzXPg2uOepkR/J/OPf1lfgrwDsPLRj5YCYmijXZQMb7acNKh4uk7cGMTDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:11.048064Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.3234","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7abee0a5bda0e582a141143757f986b78e51f33dead32ac28544b9db780f1e1","sha256:ea254aafdc351f1fb3d230890ccc5f97e5bc9fa82906a9c630a554a8ce5d134a"],"state_sha256":"ecb435b86b8a338002f9cdcdf62ee690b775610a944a135ad3b353a0a8d29bee"}