{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:AVSFJEKME7MRX7UQ7LJXEV5DOA","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":"ccdc3c9abe90f920e3b151027c2cac326b0f4298434a60c8ec9f4a43bc23aa8d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2024-08-26T05:06:39Z","title_canon_sha256":"5ec29a729f2101340124fc2ce31554606df8d986a8f37241c690ec7461543341"},"schema_version":"1.0","source":{"id":"2408.14018","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.14018","created_at":"2026-07-05T08:59:14Z"},{"alias_kind":"arxiv_version","alias_value":"2408.14018v1","created_at":"2026-07-05T08:59:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.14018","created_at":"2026-07-05T08:59:14Z"},{"alias_kind":"pith_short_12","alias_value":"AVSFJEKME7MR","created_at":"2026-07-05T08:59:14Z"},{"alias_kind":"pith_short_16","alias_value":"AVSFJEKME7MRX7UQ","created_at":"2026-07-05T08:59:14Z"},{"alias_kind":"pith_short_8","alias_value":"AVSFJEKM","created_at":"2026-07-05T08:59:14Z"}],"graph_snapshots":[{"event_id":"sha256:789821a44df8382e611bfd71f77f827fab6fb1e822983c7fc2abe9a1f23ef7a2","target":"graph","created_at":"2026-07-05T08:59:14Z","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/2408.14018/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In 1948, Fritz John proposed a theorem stating that every convex body has a unique maximal volume inscribed ellipsoid, known as the John ellipsoid. The John ellipsoid has become fundamental in mathematics, with extensive applications in high-dimensional sampling, linear programming, and machine learning. Designing faster algorithms to compute the John ellipsoid is therefore an important and emerging problem. In [Cohen, Cousins, Lee, Yang COLT 2019], they established an algorithm for approximating the John ellipsoid for a symmetric convex polytope defined by a matrix $A \\in \\mathbb{R}^{n \\times","authors_text":"Junwei Yu, Xiaoyu Li, Zhao Song","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2024-08-26T05:06:39Z","title":"Quantum Speedups for Approximating the John Ellipsoid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.14018","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":"sha256:739f5224cd090867888a7667e8a7cb69b97ddeb6ae48bfe3f35f55cad81295b2","target":"record","created_at":"2026-07-05T08:59:14Z","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":"ccdc3c9abe90f920e3b151027c2cac326b0f4298434a60c8ec9f4a43bc23aa8d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2024-08-26T05:06:39Z","title_canon_sha256":"5ec29a729f2101340124fc2ce31554606df8d986a8f37241c690ec7461543341"},"schema_version":"1.0","source":{"id":"2408.14018","kind":"arxiv","version":1}},"canonical_sha256":"056454914c27d91bfe90fad37257a3703e80d143e01f1ebce5198a538e2732d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"056454914c27d91bfe90fad37257a3703e80d143e01f1ebce5198a538e2732d4","first_computed_at":"2026-07-05T08:59:14.995464Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:59:14.995464Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oBnj10kNe72424ZNhCQmTpcT9UBZ/caM52hC8SrIyaoNJpzDUlXrul/Irfw5FoyoAqMJ0SWUAbeOOZlFsFlDCw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:59:14.995968Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.14018","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:739f5224cd090867888a7667e8a7cb69b97ddeb6ae48bfe3f35f55cad81295b2","sha256:789821a44df8382e611bfd71f77f827fab6fb1e822983c7fc2abe9a1f23ef7a2"],"state_sha256":"bca305566d7203494138fac7b0ec4e7239cc2765445b43b8fe8173b26abd8bb0"}