{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:OPJE5DZB3SJD2AOTCXWAI7NQJZ","short_pith_number":"pith:OPJE5DZB","schema_version":"1.0","canonical_sha256":"73d24e8f21dc923d01d315ec047db04e6c89524588ae8df5deb70c58c8374153","source":{"kind":"arxiv","id":"2606.20082","version":1},"attestation_state":"computed","paper":{"title":"Beyond Averaging in John Ellipsoid Approximation: High-Accuracy Algorithms in the Leverage-Score Model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.DS","cs.LG"],"primary_cat":"math.OC","authors_text":"Andi Han, Jiaojiao Jiang, Junbin Gao, Junwei Yu, Xiaoyu Li","submitted_at":"2026-06-18T11:00:03Z","abstract_excerpt":"The John ellipsoid of a symmetric polytope $P=\\{\\mathbf{x}\\in\\mathbb{R}^d:\\|\\mathbf{A}\\mathbf{x}\\|_\\infty\\le1\\}$, $\\mathbf{A}\\in\\mathbb{R}^{n\\times d}$, is computed by a long line of leverage-score algorithms, from Cohen, Cousins, Lee and Yang (COLT 2019) to its successors [WY24, CLS+25], all reaching a $(1+\\varepsilon)$-approximation in $\\Theta(\\varepsilon^{-1}\\log(n/d))$ iterations. We separate this complexity into three costs the modern line conflates (certification, identification, and accuracy) and locate the historical $\\varepsilon^{-1}$ in the first alone. In the equivalent D-optimal-de"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.20082","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-06-18T11:00:03Z","cross_cats_sorted":["cs.DS","cs.LG"],"title_canon_sha256":"09c206c334e53db32ae3ba7024d9381195899c0f9b87449ec0e7cde9cd432c1f","abstract_canon_sha256":"a23570ce9c0b974caee57c25a5927a0d3a3aef127c99379bfac50d7151cc7dc5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:13:02.371437Z","signature_b64":"Vxac+Gback73fKNYSRYQisPP/gxcV1FrZZxlC99sVgi8dXqiY3hr1fbq54CDMK4gHeOQM6+sAolKYPI3q2KgAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73d24e8f21dc923d01d315ec047db04e6c89524588ae8df5deb70c58c8374153","last_reissued_at":"2026-06-19T16:13:02.371017Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:13:02.371017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Beyond Averaging in John Ellipsoid Approximation: High-Accuracy Algorithms in the Leverage-Score Model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.DS","cs.LG"],"primary_cat":"math.OC","authors_text":"Andi Han, Jiaojiao Jiang, Junbin Gao, Junwei Yu, Xiaoyu Li","submitted_at":"2026-06-18T11:00:03Z","abstract_excerpt":"The John ellipsoid of a symmetric polytope $P=\\{\\mathbf{x}\\in\\mathbb{R}^d:\\|\\mathbf{A}\\mathbf{x}\\|_\\infty\\le1\\}$, $\\mathbf{A}\\in\\mathbb{R}^{n\\times d}$, is computed by a long line of leverage-score algorithms, from Cohen, Cousins, Lee and Yang (COLT 2019) to its successors [WY24, CLS+25], all reaching a $(1+\\varepsilon)$-approximation in $\\Theta(\\varepsilon^{-1}\\log(n/d))$ iterations. We separate this complexity into three costs the modern line conflates (certification, identification, and accuracy) and locate the historical $\\varepsilon^{-1}$ in the first alone. In the equivalent D-optimal-de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.20082","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.20082/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.20082","created_at":"2026-06-19T16:13:02.371076+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.20082v1","created_at":"2026-06-19T16:13:02.371076+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.20082","created_at":"2026-06-19T16:13:02.371076+00:00"},{"alias_kind":"pith_short_12","alias_value":"OPJE5DZB3SJD","created_at":"2026-06-19T16:13:02.371076+00:00"},{"alias_kind":"pith_short_16","alias_value":"OPJE5DZB3SJD2AOT","created_at":"2026-06-19T16:13:02.371076+00:00"},{"alias_kind":"pith_short_8","alias_value":"OPJE5DZB","created_at":"2026-06-19T16:13:02.371076+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OPJE5DZB3SJD2AOTCXWAI7NQJZ","json":"https://pith.science/pith/OPJE5DZB3SJD2AOTCXWAI7NQJZ.json","graph_json":"https://pith.science/api/pith-number/OPJE5DZB3SJD2AOTCXWAI7NQJZ/graph.json","events_json":"https://pith.science/api/pith-number/OPJE5DZB3SJD2AOTCXWAI7NQJZ/events.json","paper":"https://pith.science/paper/OPJE5DZB"},"agent_actions":{"view_html":"https://pith.science/pith/OPJE5DZB3SJD2AOTCXWAI7NQJZ","download_json":"https://pith.science/pith/OPJE5DZB3SJD2AOTCXWAI7NQJZ.json","view_paper":"https://pith.science/paper/OPJE5DZB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.20082&json=true","fetch_graph":"https://pith.science/api/pith-number/OPJE5DZB3SJD2AOTCXWAI7NQJZ/graph.json","fetch_events":"https://pith.science/api/pith-number/OPJE5DZB3SJD2AOTCXWAI7NQJZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OPJE5DZB3SJD2AOTCXWAI7NQJZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OPJE5DZB3SJD2AOTCXWAI7NQJZ/action/storage_attestation","attest_author":"https://pith.science/pith/OPJE5DZB3SJD2AOTCXWAI7NQJZ/action/author_attestation","sign_citation":"https://pith.science/pith/OPJE5DZB3SJD2AOTCXWAI7NQJZ/action/citation_signature","submit_replication":"https://pith.science/pith/OPJE5DZB3SJD2AOTCXWAI7NQJZ/action/replication_record"}},"created_at":"2026-06-19T16:13:02.371076+00:00","updated_at":"2026-06-19T16:13:02.371076+00:00"}