{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7ERPAWPIBTW5WMMD5JJB6JBBMU","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":"012467be57d56b5e3db513f30781ba3e8318cb25fcd17689a173ed4c8cb07f63","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-02-20T15:01:09Z","title_canon_sha256":"3f7d764a789e7a12b4d69c9a90c75102c0f81e9d73615c3e07d829e9035085fb"},"schema_version":"1.0","source":{"id":"1402.5021","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.5021","created_at":"2026-05-18T01:55:43Z"},{"alias_kind":"arxiv_version","alias_value":"1402.5021v1","created_at":"2026-05-18T01:55:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5021","created_at":"2026-05-18T01:55:43Z"},{"alias_kind":"pith_short_12","alias_value":"7ERPAWPIBTW5","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"7ERPAWPIBTW5WMMD","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"7ERPAWPI","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:2b37c6a6cfdbda0952cd00cb19cc1bc1132776fd9634172aa0aa0f8013938c22","target":"graph","created_at":"2026-05-18T01:55:43Z","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 study least deviation of logarithmic derivatives of real-valued polynomials with a fixed root from zero on the segment $[-1;1]$ in the uniform norm with the weight $\\sqrt{1-x^2}$ and without it. Basing on results of Komarov and Novak and on a certain determinant identity due to Borchardt, we also establish a criterion for best uniform approximation of continuous real-valued functions by logarithmic derivatives in terms of a Chebyshev alternance.","authors_text":"Petr Chunaev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-02-20T15:01:09Z","title":"Logarithmic Derivatives of Least Deviation from Zero"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5021","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":"sha256:1390425da4ef186bd7521c8909f7faa5a40b83f658038f4da687faa0419295ea","target":"record","created_at":"2026-05-18T01:55:43Z","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":"012467be57d56b5e3db513f30781ba3e8318cb25fcd17689a173ed4c8cb07f63","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-02-20T15:01:09Z","title_canon_sha256":"3f7d764a789e7a12b4d69c9a90c75102c0f81e9d73615c3e07d829e9035085fb"},"schema_version":"1.0","source":{"id":"1402.5021","kind":"arxiv","version":1}},"canonical_sha256":"f922f059e80ceddb3183ea521f2421653438feb2b605bf125cdb37ccc11a2b9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f922f059e80ceddb3183ea521f2421653438feb2b605bf125cdb37ccc11a2b9b","first_computed_at":"2026-05-18T01:55:43.270922Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:43.270922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SoZHatNqI+QUTVMQXu7OubzOpExDNDxCHn7Lqr/mi0t6C2BnBKCJu4U5b8psfwv/Jv+g+XHATI3bk9zkCI7bBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:43.271577Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.5021","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1390425da4ef186bd7521c8909f7faa5a40b83f658038f4da687faa0419295ea","sha256:2b37c6a6cfdbda0952cd00cb19cc1bc1132776fd9634172aa0aa0f8013938c22"],"state_sha256":"774a74ecd61b665c88bc1080cbb5f48a27c1d42b2cbd0af5de79df88c9e07966"}