{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:6NYPPHJNJP4XJ42EAAUSORHU62","short_pith_number":"pith:6NYPPHJN","schema_version":"1.0","canonical_sha256":"f370f79d2d4bf974f34400292744f4f687c883c9de6caa7b6948f4b25c943049","source":{"kind":"arxiv","id":"1104.0202","version":2},"attestation_state":"computed","paper":{"title":"Cyclic mutually unbiased bases, Fibonacci polynomials and Wiedemann's conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Kedar S. Ranade, Ulrich Seyfarth","submitted_at":"2011-04-01T15:40:56Z","abstract_excerpt":"We relate the construction of a complete set of cyclic mutually unbiased bases, i. e., mutually unbiased bases generated by a single unitary operator, in power-of-two dimensions to the problem of finding a symmetric matrix over F_2 with an irreducible characteristic polynomial that has a given Fibonacci index. For dimensions of the form 2^(2^k) we present a solution that shows an analogy to an open conjecture of Wiedemann in finite field theory. Finally, we discuss the equivalence of mutually unbiased bases."},"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":"1104.0202","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-04-01T15:40:56Z","cross_cats_sorted":[],"title_canon_sha256":"8c534d220b954da1e665734c0ed3f68ad13ac415d5cd36b1b198c77b2bc72285","abstract_canon_sha256":"263341cde7e16f151801c832403fc5ea635ffa4b50f8f53c773147becf4f8712"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:02:41.420452Z","signature_b64":"aaTI7MWCGL3Mv5AmM7NCRmgJLC9jYSze1/VerFxHyiCVVK9ftvpwWVvZTzXusKSyDKzZ/+74w9iC3xS8XnZlDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f370f79d2d4bf974f34400292744f4f687c883c9de6caa7b6948f4b25c943049","last_reissued_at":"2026-05-18T02:02:41.419625Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:02:41.419625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cyclic mutually unbiased bases, Fibonacci polynomials and Wiedemann's conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Kedar S. Ranade, Ulrich Seyfarth","submitted_at":"2011-04-01T15:40:56Z","abstract_excerpt":"We relate the construction of a complete set of cyclic mutually unbiased bases, i. e., mutually unbiased bases generated by a single unitary operator, in power-of-two dimensions to the problem of finding a symmetric matrix over F_2 with an irreducible characteristic polynomial that has a given Fibonacci index. For dimensions of the form 2^(2^k) we present a solution that shows an analogy to an open conjecture of Wiedemann in finite field theory. Finally, we discuss the equivalence of mutually unbiased bases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0202","kind":"arxiv","version":2},"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":"1104.0202","created_at":"2026-05-18T02:02:41.419788+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.0202v2","created_at":"2026-05-18T02:02:41.419788+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0202","created_at":"2026-05-18T02:02:41.419788+00:00"},{"alias_kind":"pith_short_12","alias_value":"6NYPPHJNJP4X","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_16","alias_value":"6NYPPHJNJP4XJ42E","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_8","alias_value":"6NYPPHJN","created_at":"2026-05-18T12:26:22.705136+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/6NYPPHJNJP4XJ42EAAUSORHU62","json":"https://pith.science/pith/6NYPPHJNJP4XJ42EAAUSORHU62.json","graph_json":"https://pith.science/api/pith-number/6NYPPHJNJP4XJ42EAAUSORHU62/graph.json","events_json":"https://pith.science/api/pith-number/6NYPPHJNJP4XJ42EAAUSORHU62/events.json","paper":"https://pith.science/paper/6NYPPHJN"},"agent_actions":{"view_html":"https://pith.science/pith/6NYPPHJNJP4XJ42EAAUSORHU62","download_json":"https://pith.science/pith/6NYPPHJNJP4XJ42EAAUSORHU62.json","view_paper":"https://pith.science/paper/6NYPPHJN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.0202&json=true","fetch_graph":"https://pith.science/api/pith-number/6NYPPHJNJP4XJ42EAAUSORHU62/graph.json","fetch_events":"https://pith.science/api/pith-number/6NYPPHJNJP4XJ42EAAUSORHU62/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6NYPPHJNJP4XJ42EAAUSORHU62/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6NYPPHJNJP4XJ42EAAUSORHU62/action/storage_attestation","attest_author":"https://pith.science/pith/6NYPPHJNJP4XJ42EAAUSORHU62/action/author_attestation","sign_citation":"https://pith.science/pith/6NYPPHJNJP4XJ42EAAUSORHU62/action/citation_signature","submit_replication":"https://pith.science/pith/6NYPPHJNJP4XJ42EAAUSORHU62/action/replication_record"}},"created_at":"2026-05-18T02:02:41.419788+00:00","updated_at":"2026-05-18T02:02:41.419788+00:00"}