{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:7DHNFGGVBX2ZVMMX2YTZUG5QZC","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":"ea5ca176dcc7a259c1e49ab165711f9119ca0cb5dd53b8cb867f2aae36071068","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2022-10-10T14:19:23Z","title_canon_sha256":"d4d3ea24534c996a786869cb3c34e70c4e3d1d7389de86a1709849a67fd95897"},"schema_version":"1.0","source":{"id":"2210.04717","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.04717","created_at":"2026-07-05T05:04:56Z"},{"alias_kind":"arxiv_version","alias_value":"2210.04717v1","created_at":"2026-07-05T05:04:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.04717","created_at":"2026-07-05T05:04:56Z"},{"alias_kind":"pith_short_12","alias_value":"7DHNFGGVBX2Z","created_at":"2026-07-05T05:04:56Z"},{"alias_kind":"pith_short_16","alias_value":"7DHNFGGVBX2ZVMMX","created_at":"2026-07-05T05:04:56Z"},{"alias_kind":"pith_short_8","alias_value":"7DHNFGGV","created_at":"2026-07-05T05:04:56Z"}],"graph_snapshots":[{"event_id":"sha256:651f0201cba25187da14900f3305b964e19d5f2088c34ab6f3cf59119769cef3","target":"graph","created_at":"2026-07-05T05:04:56Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2210.04717/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The recovery of an unknown density matrix of large size requires huge computational resources. The recent Factored Gradient Descent (FGD) algorithm and its variants achieved state-of-the-art performance since they could mitigate the dimensionality barrier by utilizing some of the underlying structures of the density matrix. Despite their theoretical guarantee of a linear convergence rate, the convergence in practical scenarios is still slow because the contracting factor of the FGD algorithms depends on the condition number $\\kappa$ of the ground truth state. Consequently, the total number of ","authors_text":"En-Jui Kuo, Jian-Feng Cai, Ming-Chien Hsu, Min-Hsiu Hsieh, Wei-Hsuan Yu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2022-10-10T14:19:23Z","title":"Quantum state tomography via non-convex Riemannian gradient descent"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.04717","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:a0d472446784865c97bec2e3f81ab4e42b03952719594fa6aea7b4003b8cf867","target":"record","created_at":"2026-07-05T05:04:56Z","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":"ea5ca176dcc7a259c1e49ab165711f9119ca0cb5dd53b8cb867f2aae36071068","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2022-10-10T14:19:23Z","title_canon_sha256":"d4d3ea24534c996a786869cb3c34e70c4e3d1d7389de86a1709849a67fd95897"},"schema_version":"1.0","source":{"id":"2210.04717","kind":"arxiv","version":1}},"canonical_sha256":"f8ced298d50df59ab197d6279a1bb0c8a2657cff1146e4c6543ab4d0bb3f8abd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8ced298d50df59ab197d6279a1bb0c8a2657cff1146e4c6543ab4d0bb3f8abd","first_computed_at":"2026-07-05T05:04:56.046846Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:04:56.046846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FhncJSKdFx9a3QwHvnyMmar3R+wyCE8c7wC16EIcIpEBRGQDLbJTo1i93fo0avDbAjbQpuLtGi8a1l4v6yCmDA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:04:56.047256Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.04717","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0d472446784865c97bec2e3f81ab4e42b03952719594fa6aea7b4003b8cf867","sha256:651f0201cba25187da14900f3305b964e19d5f2088c34ab6f3cf59119769cef3"],"state_sha256":"e8b47d174c111d56dc98f6563855726e26d5c13203b75114a188ed0a0df483b8"}