{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:6LAYSWCDQMMQSTYS4IHGFAZQ7J","short_pith_number":"pith:6LAYSWCD","schema_version":"1.0","canonical_sha256":"f2c18958438319094f12e20e628330fa534286a792e53ca3798eb4cf5664e233","source":{"kind":"arxiv","id":"1406.2233","version":1},"attestation_state":"computed","paper":{"title":"The Mahler measure of the Rudin-Shapiro polynomials","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Tamas Erdelyi","submitted_at":"2014-06-09T16:10:48Z","abstract_excerpt":"Littlewood polynomials are polynomials with each of their coefficients in {-1,1}. A sequence of Littlewood polynomials that satisfies a remarkable flatness property on the unit circle of the complex plane is given by the Rudin-Shapiro polynomials. It is shown in this paper that the Mahler measure and the maximum modulus of the Rudin-Shapiro polynomials on the unit circle of the complex plane have the same size. It is also shown that the Mahler measure and the maximum norm of the Rudin-Shapiro polynomials have the same size even on not too small subarcs of the unit circle of the complex plane. "},"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":"1406.2233","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.CV","submitted_at":"2014-06-09T16:10:48Z","cross_cats_sorted":[],"title_canon_sha256":"55a5b3aa203f1b98e4477489e4ff7edae894557dd284e4f71914c10f2596e070","abstract_canon_sha256":"b642b7bdbee7357021705bb5635cfe8df381a7f450a1caec5cc77a5afe0fcddd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:11.210528Z","signature_b64":"9oRC641aLAO9t3bZQQlFSAfqTv3G+odbTctcAj+5YxjQFkr+A6nGbJQr9eOjm20gDJL4ZIMmtdtK8g4FPJLWAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2c18958438319094f12e20e628330fa534286a792e53ca3798eb4cf5664e233","last_reissued_at":"2026-05-18T02:50:11.209785Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:11.209785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Mahler measure of the Rudin-Shapiro polynomials","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Tamas Erdelyi","submitted_at":"2014-06-09T16:10:48Z","abstract_excerpt":"Littlewood polynomials are polynomials with each of their coefficients in {-1,1}. A sequence of Littlewood polynomials that satisfies a remarkable flatness property on the unit circle of the complex plane is given by the Rudin-Shapiro polynomials. It is shown in this paper that the Mahler measure and the maximum modulus of the Rudin-Shapiro polynomials on the unit circle of the complex plane have the same size. It is also shown that the Mahler measure and the maximum norm of the Rudin-Shapiro polynomials have the same size even on not too small subarcs of the unit circle of the complex plane. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2233","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":"1406.2233","created_at":"2026-05-18T02:50:11.209899+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.2233v1","created_at":"2026-05-18T02:50:11.209899+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2233","created_at":"2026-05-18T02:50:11.209899+00:00"},{"alias_kind":"pith_short_12","alias_value":"6LAYSWCDQMMQ","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"6LAYSWCDQMMQSTYS","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"6LAYSWCD","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/6LAYSWCDQMMQSTYS4IHGFAZQ7J","json":"https://pith.science/pith/6LAYSWCDQMMQSTYS4IHGFAZQ7J.json","graph_json":"https://pith.science/api/pith-number/6LAYSWCDQMMQSTYS4IHGFAZQ7J/graph.json","events_json":"https://pith.science/api/pith-number/6LAYSWCDQMMQSTYS4IHGFAZQ7J/events.json","paper":"https://pith.science/paper/6LAYSWCD"},"agent_actions":{"view_html":"https://pith.science/pith/6LAYSWCDQMMQSTYS4IHGFAZQ7J","download_json":"https://pith.science/pith/6LAYSWCDQMMQSTYS4IHGFAZQ7J.json","view_paper":"https://pith.science/paper/6LAYSWCD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.2233&json=true","fetch_graph":"https://pith.science/api/pith-number/6LAYSWCDQMMQSTYS4IHGFAZQ7J/graph.json","fetch_events":"https://pith.science/api/pith-number/6LAYSWCDQMMQSTYS4IHGFAZQ7J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6LAYSWCDQMMQSTYS4IHGFAZQ7J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6LAYSWCDQMMQSTYS4IHGFAZQ7J/action/storage_attestation","attest_author":"https://pith.science/pith/6LAYSWCDQMMQSTYS4IHGFAZQ7J/action/author_attestation","sign_citation":"https://pith.science/pith/6LAYSWCDQMMQSTYS4IHGFAZQ7J/action/citation_signature","submit_replication":"https://pith.science/pith/6LAYSWCDQMMQSTYS4IHGFAZQ7J/action/replication_record"}},"created_at":"2026-05-18T02:50:11.209899+00:00","updated_at":"2026-05-18T02:50:11.209899+00:00"}