{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7ERPAWPIBTW5WMMD5JJB6JBBMU","short_pith_number":"pith:7ERPAWPI","schema_version":"1.0","canonical_sha256":"f922f059e80ceddb3183ea521f2421653438feb2b605bf125cdb37ccc11a2b9b","source":{"kind":"arxiv","id":"1402.5021","version":1},"attestation_state":"computed","paper":{"title":"Logarithmic Derivatives of Least Deviation from Zero","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Petr Chunaev","submitted_at":"2014-02-20T15:01:09Z","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."},"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":"1402.5021","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-02-20T15:01:09Z","cross_cats_sorted":[],"title_canon_sha256":"3f7d764a789e7a12b4d69c9a90c75102c0f81e9d73615c3e07d829e9035085fb","abstract_canon_sha256":"012467be57d56b5e3db513f30781ba3e8318cb25fcd17689a173ed4c8cb07f63"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:55:43.271577Z","signature_b64":"SoZHatNqI+QUTVMQXu7OubzOpExDNDxCHn7Lqr/mi0t6C2BnBKCJu4U5b8psfwv/Jv+g+XHATI3bk9zkCI7bBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f922f059e80ceddb3183ea521f2421653438feb2b605bf125cdb37ccc11a2b9b","last_reissued_at":"2026-05-18T01:55:43.270922Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:55:43.270922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Logarithmic Derivatives of Least Deviation from Zero","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Petr Chunaev","submitted_at":"2014-02-20T15:01:09Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5021","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":""},"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":"1402.5021","created_at":"2026-05-18T01:55:43.271032+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.5021v1","created_at":"2026-05-18T01:55:43.271032+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5021","created_at":"2026-05-18T01:55:43.271032+00:00"},{"alias_kind":"pith_short_12","alias_value":"7ERPAWPIBTW5","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"7ERPAWPIBTW5WMMD","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"7ERPAWPI","created_at":"2026-05-18T12:28:16.859392+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/7ERPAWPIBTW5WMMD5JJB6JBBMU","json":"https://pith.science/pith/7ERPAWPIBTW5WMMD5JJB6JBBMU.json","graph_json":"https://pith.science/api/pith-number/7ERPAWPIBTW5WMMD5JJB6JBBMU/graph.json","events_json":"https://pith.science/api/pith-number/7ERPAWPIBTW5WMMD5JJB6JBBMU/events.json","paper":"https://pith.science/paper/7ERPAWPI"},"agent_actions":{"view_html":"https://pith.science/pith/7ERPAWPIBTW5WMMD5JJB6JBBMU","download_json":"https://pith.science/pith/7ERPAWPIBTW5WMMD5JJB6JBBMU.json","view_paper":"https://pith.science/paper/7ERPAWPI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.5021&json=true","fetch_graph":"https://pith.science/api/pith-number/7ERPAWPIBTW5WMMD5JJB6JBBMU/graph.json","fetch_events":"https://pith.science/api/pith-number/7ERPAWPIBTW5WMMD5JJB6JBBMU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7ERPAWPIBTW5WMMD5JJB6JBBMU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7ERPAWPIBTW5WMMD5JJB6JBBMU/action/storage_attestation","attest_author":"https://pith.science/pith/7ERPAWPIBTW5WMMD5JJB6JBBMU/action/author_attestation","sign_citation":"https://pith.science/pith/7ERPAWPIBTW5WMMD5JJB6JBBMU/action/citation_signature","submit_replication":"https://pith.science/pith/7ERPAWPIBTW5WMMD5JJB6JBBMU/action/replication_record"}},"created_at":"2026-05-18T01:55:43.271032+00:00","updated_at":"2026-05-18T01:55:43.271032+00:00"}