{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:36VFIVTORNBO4WGWJ6FLWD64YB","short_pith_number":"pith:36VFIVTO","schema_version":"1.0","canonical_sha256":"dfaa54566e8b42ee58d64f8abb0fdcc07fd9853cb11800405cde95715ad79790","source":{"kind":"arxiv","id":"1512.00337","version":1},"attestation_state":"computed","paper":{"title":"Absolutely abnormal, continued fraction normal numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Joseph Vandehey","submitted_at":"2015-12-01T17:04:14Z","abstract_excerpt":"In this short note, we give a proof, conditional on the Generalized Riemann Hypothesis, that there exist numbers x which are normal with respect to the continued fraction expansion but not to any base b expansion. This partially answers a question of Bugeaud."},"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":"1512.00337","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-12-01T17:04:14Z","cross_cats_sorted":[],"title_canon_sha256":"ced78836f33a8cef9a5be61b1b311e10cd47c2bf15a24f339d18a2474cfb8908","abstract_canon_sha256":"e6beb15b6e1cdfddf35eaee921b47920e47a66552bf9573e5df9b54bc8f15377"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:32.161489Z","signature_b64":"0QMXU9qMFvnpM2ucR8x6mQdI5m7/tlvoIQdQH4eAX3I6z5g7/eXV0qC/VPBdFkumA44fZXogwppR6i9yv/zoCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dfaa54566e8b42ee58d64f8abb0fdcc07fd9853cb11800405cde95715ad79790","last_reissued_at":"2026-05-18T01:25:32.160925Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:32.160925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Absolutely abnormal, continued fraction normal numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Joseph Vandehey","submitted_at":"2015-12-01T17:04:14Z","abstract_excerpt":"In this short note, we give a proof, conditional on the Generalized Riemann Hypothesis, that there exist numbers x which are normal with respect to the continued fraction expansion but not to any base b expansion. This partially answers a question of Bugeaud."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00337","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":"1512.00337","created_at":"2026-05-18T01:25:32.161020+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.00337v1","created_at":"2026-05-18T01:25:32.161020+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.00337","created_at":"2026-05-18T01:25:32.161020+00:00"},{"alias_kind":"pith_short_12","alias_value":"36VFIVTORNBO","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"36VFIVTORNBO4WGW","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"36VFIVTO","created_at":"2026-05-18T12:29:02.477457+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/36VFIVTORNBO4WGWJ6FLWD64YB","json":"https://pith.science/pith/36VFIVTORNBO4WGWJ6FLWD64YB.json","graph_json":"https://pith.science/api/pith-number/36VFIVTORNBO4WGWJ6FLWD64YB/graph.json","events_json":"https://pith.science/api/pith-number/36VFIVTORNBO4WGWJ6FLWD64YB/events.json","paper":"https://pith.science/paper/36VFIVTO"},"agent_actions":{"view_html":"https://pith.science/pith/36VFIVTORNBO4WGWJ6FLWD64YB","download_json":"https://pith.science/pith/36VFIVTORNBO4WGWJ6FLWD64YB.json","view_paper":"https://pith.science/paper/36VFIVTO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.00337&json=true","fetch_graph":"https://pith.science/api/pith-number/36VFIVTORNBO4WGWJ6FLWD64YB/graph.json","fetch_events":"https://pith.science/api/pith-number/36VFIVTORNBO4WGWJ6FLWD64YB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/36VFIVTORNBO4WGWJ6FLWD64YB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/36VFIVTORNBO4WGWJ6FLWD64YB/action/storage_attestation","attest_author":"https://pith.science/pith/36VFIVTORNBO4WGWJ6FLWD64YB/action/author_attestation","sign_citation":"https://pith.science/pith/36VFIVTORNBO4WGWJ6FLWD64YB/action/citation_signature","submit_replication":"https://pith.science/pith/36VFIVTORNBO4WGWJ6FLWD64YB/action/replication_record"}},"created_at":"2026-05-18T01:25:32.161020+00:00","updated_at":"2026-05-18T01:25:32.161020+00:00"}