{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:6NYPPHJNJP4XJ42EAAUSORHU62","short_pith_number":"pith:6NYPPHJN","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"},"canonical_sha256":"f370f79d2d4bf974f34400292744f4f687c883c9de6caa7b6948f4b25c943049","source":{"kind":"arxiv","id":"1104.0202","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.0202","created_at":"2026-05-18T02:02:41Z"},{"alias_kind":"arxiv_version","alias_value":"1104.0202v2","created_at":"2026-05-18T02:02:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0202","created_at":"2026-05-18T02:02:41Z"},{"alias_kind":"pith_short_12","alias_value":"6NYPPHJNJP4X","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6NYPPHJNJP4XJ42E","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6NYPPHJN","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:6NYPPHJNJP4XJ42EAAUSORHU62","target":"record","payload":{"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"},"canonical_sha256":"f370f79d2d4bf974f34400292744f4f687c883c9de6caa7b6948f4b25c943049","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"},"source_kind":"arxiv","source_id":"1104.0202","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:02:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ztvrHSUpGsJWqODfDZ6fCOsYdgv07mIJkTrQkLPXQJmJsXwkC3QmzToQRgxIYFJXyWBqE9PPs7JMy1M69CJFCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T01:10:56.942183Z"},"content_sha256":"2e85940b9b89412043866cfedda6da0a144beddefc948cab72cb7b941fbacfb3","schema_version":"1.0","event_id":"sha256:2e85940b9b89412043866cfedda6da0a144beddefc948cab72cb7b941fbacfb3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:6NYPPHJNJP4XJ42EAAUSORHU62","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:02:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wcA3ItEYhhNxwKHGcYIIpALBI5eVF5gafn1LQzms+38nsdAIsEV0hTXDyvXqqp3X+bbmaLbdiP8gBk+zqrcPAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T01:10:56.942981Z"},"content_sha256":"f92ea21394c43b5b65cb3a02eb932aede31caebd9a6537e94e8077665f838acd","schema_version":"1.0","event_id":"sha256:f92ea21394c43b5b65cb3a02eb932aede31caebd9a6537e94e8077665f838acd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6NYPPHJNJP4XJ42EAAUSORHU62/bundle.json","state_url":"https://pith.science/pith/6NYPPHJNJP4XJ42EAAUSORHU62/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6NYPPHJNJP4XJ42EAAUSORHU62/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-12T01:10:56Z","links":{"resolver":"https://pith.science/pith/6NYPPHJNJP4XJ42EAAUSORHU62","bundle":"https://pith.science/pith/6NYPPHJNJP4XJ42EAAUSORHU62/bundle.json","state":"https://pith.science/pith/6NYPPHJNJP4XJ42EAAUSORHU62/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6NYPPHJNJP4XJ42EAAUSORHU62/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6NYPPHJNJP4XJ42EAAUSORHU62","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":"263341cde7e16f151801c832403fc5ea635ffa4b50f8f53c773147becf4f8712","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-04-01T15:40:56Z","title_canon_sha256":"8c534d220b954da1e665734c0ed3f68ad13ac415d5cd36b1b198c77b2bc72285"},"schema_version":"1.0","source":{"id":"1104.0202","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.0202","created_at":"2026-05-18T02:02:41Z"},{"alias_kind":"arxiv_version","alias_value":"1104.0202v2","created_at":"2026-05-18T02:02:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0202","created_at":"2026-05-18T02:02:41Z"},{"alias_kind":"pith_short_12","alias_value":"6NYPPHJNJP4X","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6NYPPHJNJP4XJ42E","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6NYPPHJN","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:f92ea21394c43b5b65cb3a02eb932aede31caebd9a6537e94e8077665f838acd","target":"graph","created_at":"2026-05-18T02:02:41Z","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 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.","authors_text":"Kedar S. Ranade, Ulrich Seyfarth","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-04-01T15:40:56Z","title":"Cyclic mutually unbiased bases, Fibonacci polynomials and Wiedemann's conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0202","kind":"arxiv","version":2},"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":"sha256:2e85940b9b89412043866cfedda6da0a144beddefc948cab72cb7b941fbacfb3","target":"record","created_at":"2026-05-18T02:02:41Z","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":"263341cde7e16f151801c832403fc5ea635ffa4b50f8f53c773147becf4f8712","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-04-01T15:40:56Z","title_canon_sha256":"8c534d220b954da1e665734c0ed3f68ad13ac415d5cd36b1b198c77b2bc72285"},"schema_version":"1.0","source":{"id":"1104.0202","kind":"arxiv","version":2}},"canonical_sha256":"f370f79d2d4bf974f34400292744f4f687c883c9de6caa7b6948f4b25c943049","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f370f79d2d4bf974f34400292744f4f687c883c9de6caa7b6948f4b25c943049","first_computed_at":"2026-05-18T02:02:41.419625Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:02:41.419625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aaTI7MWCGL3Mv5AmM7NCRmgJLC9jYSze1/VerFxHyiCVVK9ftvpwWVvZTzXusKSyDKzZ/+74w9iC3xS8XnZlDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:02:41.420452Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.0202","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e85940b9b89412043866cfedda6da0a144beddefc948cab72cb7b941fbacfb3","sha256:f92ea21394c43b5b65cb3a02eb932aede31caebd9a6537e94e8077665f838acd"],"state_sha256":"17a42ab9d8c6b1d0dcfd5147b2dfad4ca6da344884ac701d54aa2178fd5d4f16"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rh6KUXN9xJHH8pOwsNMm/edoc/k51nrfbzUAbEA5yJ5nJTjYqETTyPSyYne+/zbC5RM1bem98t97wwLTH7YoDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T01:10:56.947274Z","bundle_sha256":"80a5603441b66234fbc6ebc89598b9dfa1c554e7e6509ef1975e75194e5dd021"}}