{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:TKVFDPTTO77XZ4S3MVJ3BOPGYD","short_pith_number":"pith:TKVFDPTT","canonical_record":{"source":{"id":"1704.03622","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-04-12T05:28:19Z","cross_cats_sorted":[],"title_canon_sha256":"3417fb74d903d9db6a55504fe1cfffb1170c5935928ed8c10a96d6693fdf02c5","abstract_canon_sha256":"c48fd2a8fbd3e771d294ee643f55a570cdc1e70cfbf20c66089a4c13588ad351"},"schema_version":"1.0"},"canonical_sha256":"9aaa51be7377ff7cf25b6553b0b9e6c0c4ce3ee1c94f9dca033e26b4ed140580","source":{"kind":"arxiv","id":"1704.03622","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03622","created_at":"2026-05-18T00:46:27Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03622v1","created_at":"2026-05-18T00:46:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03622","created_at":"2026-05-18T00:46:27Z"},{"alias_kind":"pith_short_12","alias_value":"TKVFDPTTO77X","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TKVFDPTTO77XZ4S3","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TKVFDPTT","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:TKVFDPTTO77XZ4S3MVJ3BOPGYD","target":"record","payload":{"canonical_record":{"source":{"id":"1704.03622","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-04-12T05:28:19Z","cross_cats_sorted":[],"title_canon_sha256":"3417fb74d903d9db6a55504fe1cfffb1170c5935928ed8c10a96d6693fdf02c5","abstract_canon_sha256":"c48fd2a8fbd3e771d294ee643f55a570cdc1e70cfbf20c66089a4c13588ad351"},"schema_version":"1.0"},"canonical_sha256":"9aaa51be7377ff7cf25b6553b0b9e6c0c4ce3ee1c94f9dca033e26b4ed140580","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:27.313687Z","signature_b64":"bwhGwqdhX99CfI9W4ooXHHa428wzdDTSrIWIN9tZxRrMMm/sP3LCQzCaAKmIfRpSK8VRNNFYt7oOSOeoKQrPAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9aaa51be7377ff7cf25b6553b0b9e6c0c4ce3ee1c94f9dca033e26b4ed140580","last_reissued_at":"2026-05-18T00:46:27.313131Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:27.313131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.03622","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:46:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CH1o5xzzRV/R32dHrRfwZCSTXMLHsdgtb1MFdXcdl+gJ+XtY4YF3DYkS42OUcdH9nw7ySAVu5cdvV7Dpuj5hCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T22:30:15.569422Z"},"content_sha256":"258ec778e8201c0790280c9e4eb3509bcded3364fca143fec82cd1f1c836a655","schema_version":"1.0","event_id":"sha256:258ec778e8201c0790280c9e4eb3509bcded3364fca143fec82cd1f1c836a655"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:TKVFDPTTO77XZ4S3MVJ3BOPGYD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On absolutely normal and continued fraction normal numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Sergio A. Yuhjtman, Ver\\'onica Becher","submitted_at":"2017-04-12T05:28:19Z","abstract_excerpt":"We give a construction of a real number that is normal to all integer bases and continued fraction normal. The computation of the first n digits of its continued fraction expansion performs in the order of n^4 mathematical operations. The construction works by defining successive refinements of appropriate subintervals to achieve, in the limit, simple normality to all integer bases and continued fraction normality. The main diffculty is to control the length of these subintervals. To achieve this we adapt and combine known metric theorems on continued fractions and on expansions in integers ba"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03622","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:46:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rmQQ4fddPBXLXlZHbUhV+rLvxiQ6AaU2bK9kXCZHMRu//mj0pKeEWJgjpqil+j739qa+M+5M47gwPFd803vYDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T22:30:15.569800Z"},"content_sha256":"50515694a46fbcf93f168b805cf5b1cb4c1e2060927acb1876cc15d6f2e13652","schema_version":"1.0","event_id":"sha256:50515694a46fbcf93f168b805cf5b1cb4c1e2060927acb1876cc15d6f2e13652"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TKVFDPTTO77XZ4S3MVJ3BOPGYD/bundle.json","state_url":"https://pith.science/pith/TKVFDPTTO77XZ4S3MVJ3BOPGYD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TKVFDPTTO77XZ4S3MVJ3BOPGYD/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":"2026-06-10T22:30:15Z","links":{"resolver":"https://pith.science/pith/TKVFDPTTO77XZ4S3MVJ3BOPGYD","bundle":"https://pith.science/pith/TKVFDPTTO77XZ4S3MVJ3BOPGYD/bundle.json","state":"https://pith.science/pith/TKVFDPTTO77XZ4S3MVJ3BOPGYD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TKVFDPTTO77XZ4S3MVJ3BOPGYD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TKVFDPTTO77XZ4S3MVJ3BOPGYD","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":"c48fd2a8fbd3e771d294ee643f55a570cdc1e70cfbf20c66089a4c13588ad351","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-04-12T05:28:19Z","title_canon_sha256":"3417fb74d903d9db6a55504fe1cfffb1170c5935928ed8c10a96d6693fdf02c5"},"schema_version":"1.0","source":{"id":"1704.03622","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03622","created_at":"2026-05-18T00:46:27Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03622v1","created_at":"2026-05-18T00:46:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03622","created_at":"2026-05-18T00:46:27Z"},{"alias_kind":"pith_short_12","alias_value":"TKVFDPTTO77X","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TKVFDPTTO77XZ4S3","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TKVFDPTT","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:50515694a46fbcf93f168b805cf5b1cb4c1e2060927acb1876cc15d6f2e13652","target":"graph","created_at":"2026-05-18T00:46:27Z","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 give a construction of a real number that is normal to all integer bases and continued fraction normal. The computation of the first n digits of its continued fraction expansion performs in the order of n^4 mathematical operations. The construction works by defining successive refinements of appropriate subintervals to achieve, in the limit, simple normality to all integer bases and continued fraction normality. The main diffculty is to control the length of these subintervals. To achieve this we adapt and combine known metric theorems on continued fractions and on expansions in integers ba","authors_text":"Sergio A. Yuhjtman, Ver\\'onica Becher","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-04-12T05:28:19Z","title":"On absolutely normal and continued fraction normal numbers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03622","kind":"arxiv","version":1},"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":"sha256:258ec778e8201c0790280c9e4eb3509bcded3364fca143fec82cd1f1c836a655","target":"record","created_at":"2026-05-18T00:46:27Z","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":"c48fd2a8fbd3e771d294ee643f55a570cdc1e70cfbf20c66089a4c13588ad351","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-04-12T05:28:19Z","title_canon_sha256":"3417fb74d903d9db6a55504fe1cfffb1170c5935928ed8c10a96d6693fdf02c5"},"schema_version":"1.0","source":{"id":"1704.03622","kind":"arxiv","version":1}},"canonical_sha256":"9aaa51be7377ff7cf25b6553b0b9e6c0c4ce3ee1c94f9dca033e26b4ed140580","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9aaa51be7377ff7cf25b6553b0b9e6c0c4ce3ee1c94f9dca033e26b4ed140580","first_computed_at":"2026-05-18T00:46:27.313131Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:27.313131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bwhGwqdhX99CfI9W4ooXHHa428wzdDTSrIWIN9tZxRrMMm/sP3LCQzCaAKmIfRpSK8VRNNFYt7oOSOeoKQrPAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:27.313687Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.03622","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:258ec778e8201c0790280c9e4eb3509bcded3364fca143fec82cd1f1c836a655","sha256:50515694a46fbcf93f168b805cf5b1cb4c1e2060927acb1876cc15d6f2e13652"],"state_sha256":"e8eba124b623052ec74ae1b0d4cef1f7ede1f005c0859d2ceec6960858bb437a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NEE9M24mIKYYHnQCtfDoMDCCsTt5vJplz4krItQ6yEwJmPbksLluWlLdkQUWyIXyYvD8j1egn/a/gMwW/HHsDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T22:30:15.572303Z","bundle_sha256":"87e01b9e7a70de05cf32946a0323251c9040c92058c6f75a5e5e8cc2b377a919"}}