{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:63FURIMDE5HHVZSD4D3H6HOKPE","short_pith_number":"pith:63FURIMD","schema_version":"1.0","canonical_sha256":"f6cb48a183274e7ae643e0f67f1dca792e3752067c4d7bea5d1a1c8171e1b759","source":{"kind":"arxiv","id":"1503.08047","version":1},"attestation_state":"computed","paper":{"title":"Normality in Pisot Numeration Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.NT","authors_text":"Adrian-Maria Scheerer","submitted_at":"2015-03-27T12:25:31Z","abstract_excerpt":"Copeland and Erd\\H{o}s showed that the concatenation of primes when written in base $10$ yields a real number that is normal to base $10$. We generalize this result to Pisot number bases in which all integers have finite expansion."},"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":"1503.08047","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-03-27T12:25:31Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"415829b615448071dc861fec5846a8a39753938618c33e90cb5fa80b7aaeb31c","abstract_canon_sha256":"740c8eefd7ca5468ce5ce162eebb2f0342ce47ceecd637c059eaba0136eff056"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:23.931331Z","signature_b64":"xc250L/9ZRbrz1bDoNTR9rBvnYsx4JKf6rm+0PKUvwXup9Co9RNUTAofZKk9ZgpTHlr7wM2pSby5JrbZWjSFCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6cb48a183274e7ae643e0f67f1dca792e3752067c4d7bea5d1a1c8171e1b759","last_reissued_at":"2026-05-18T01:34:23.930698Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:23.930698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Normality in Pisot Numeration Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.NT","authors_text":"Adrian-Maria Scheerer","submitted_at":"2015-03-27T12:25:31Z","abstract_excerpt":"Copeland and Erd\\H{o}s showed that the concatenation of primes when written in base $10$ yields a real number that is normal to base $10$. We generalize this result to Pisot number bases in which all integers have finite expansion."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.08047","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":"1503.08047","created_at":"2026-05-18T01:34:23.930778+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.08047v1","created_at":"2026-05-18T01:34:23.930778+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.08047","created_at":"2026-05-18T01:34:23.930778+00:00"},{"alias_kind":"pith_short_12","alias_value":"63FURIMDE5HH","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"63FURIMDE5HHVZSD","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"63FURIMD","created_at":"2026-05-18T12:29:07.941421+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/63FURIMDE5HHVZSD4D3H6HOKPE","json":"https://pith.science/pith/63FURIMDE5HHVZSD4D3H6HOKPE.json","graph_json":"https://pith.science/api/pith-number/63FURIMDE5HHVZSD4D3H6HOKPE/graph.json","events_json":"https://pith.science/api/pith-number/63FURIMDE5HHVZSD4D3H6HOKPE/events.json","paper":"https://pith.science/paper/63FURIMD"},"agent_actions":{"view_html":"https://pith.science/pith/63FURIMDE5HHVZSD4D3H6HOKPE","download_json":"https://pith.science/pith/63FURIMDE5HHVZSD4D3H6HOKPE.json","view_paper":"https://pith.science/paper/63FURIMD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.08047&json=true","fetch_graph":"https://pith.science/api/pith-number/63FURIMDE5HHVZSD4D3H6HOKPE/graph.json","fetch_events":"https://pith.science/api/pith-number/63FURIMDE5HHVZSD4D3H6HOKPE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/63FURIMDE5HHVZSD4D3H6HOKPE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/63FURIMDE5HHVZSD4D3H6HOKPE/action/storage_attestation","attest_author":"https://pith.science/pith/63FURIMDE5HHVZSD4D3H6HOKPE/action/author_attestation","sign_citation":"https://pith.science/pith/63FURIMDE5HHVZSD4D3H6HOKPE/action/citation_signature","submit_replication":"https://pith.science/pith/63FURIMDE5HHVZSD4D3H6HOKPE/action/replication_record"}},"created_at":"2026-05-18T01:34:23.930778+00:00","updated_at":"2026-05-18T01:34:23.930778+00:00"}