{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:R54A4XHGM42ZNFS5MS57RPK74E","short_pith_number":"pith:R54A4XHG","schema_version":"1.0","canonical_sha256":"8f780e5ce6673596965d64bbf8bd5fe11231b1ddf345c22bb45bb5aeeb90ef8f","source":{"kind":"arxiv","id":"1806.09363","version":2},"attestation_state":"computed","paper":{"title":"A note on the run length function for intermittency maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Hongfei Cui, Lulu Fang, Yiwei Zhang","submitted_at":"2018-06-25T10:21:09Z","abstract_excerpt":"We study the run length function for intermittency maps. In particular, we show that the longest consecutive zero digits (resp. one digits) having a time window of polynomial (resp. logarithmic) length. Our proof is relatively elementary in the sense that it only relies on the classical Borel-Cantelli lemma and the polynomial decay of intermittency maps. Our results are compensational to the Erd\\H{o}s-R\\'{e}nyi law obtained by Denker and Nicol in \\cite{dennic13}."},"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":"1806.09363","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-06-25T10:21:09Z","cross_cats_sorted":[],"title_canon_sha256":"68ea9df3f00c2eb0f8a9cb98844ed8f0e44bcf4647fc52ef864f1a93863da601","abstract_canon_sha256":"17fe79128f96d34de634324f3156652b39041f9525e714d9d995f1b52c757b36"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:43.568639Z","signature_b64":"6UEx8AePj94xQ2UVmjLmmhlSBYMgWScQZ1JcwE/YWCzNZaX34KH+HCLiqyOngyfERYBJyV3CvqslrjIq1W72Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f780e5ce6673596965d64bbf8bd5fe11231b1ddf345c22bb45bb5aeeb90ef8f","last_reissued_at":"2026-05-17T23:59:43.568012Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:43.568012Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on the run length function for intermittency maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Hongfei Cui, Lulu Fang, Yiwei Zhang","submitted_at":"2018-06-25T10:21:09Z","abstract_excerpt":"We study the run length function for intermittency maps. In particular, we show that the longest consecutive zero digits (resp. one digits) having a time window of polynomial (resp. logarithmic) length. Our proof is relatively elementary in the sense that it only relies on the classical Borel-Cantelli lemma and the polynomial decay of intermittency maps. Our results are compensational to the Erd\\H{o}s-R\\'{e}nyi law obtained by Denker and Nicol in \\cite{dennic13}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.09363","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":"1806.09363","created_at":"2026-05-17T23:59:43.568093+00:00"},{"alias_kind":"arxiv_version","alias_value":"1806.09363v2","created_at":"2026-05-17T23:59:43.568093+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.09363","created_at":"2026-05-17T23:59:43.568093+00:00"},{"alias_kind":"pith_short_12","alias_value":"R54A4XHGM42Z","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_16","alias_value":"R54A4XHGM42ZNFS5","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_8","alias_value":"R54A4XHG","created_at":"2026-05-18T12:32:50.500415+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/R54A4XHGM42ZNFS5MS57RPK74E","json":"https://pith.science/pith/R54A4XHGM42ZNFS5MS57RPK74E.json","graph_json":"https://pith.science/api/pith-number/R54A4XHGM42ZNFS5MS57RPK74E/graph.json","events_json":"https://pith.science/api/pith-number/R54A4XHGM42ZNFS5MS57RPK74E/events.json","paper":"https://pith.science/paper/R54A4XHG"},"agent_actions":{"view_html":"https://pith.science/pith/R54A4XHGM42ZNFS5MS57RPK74E","download_json":"https://pith.science/pith/R54A4XHGM42ZNFS5MS57RPK74E.json","view_paper":"https://pith.science/paper/R54A4XHG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1806.09363&json=true","fetch_graph":"https://pith.science/api/pith-number/R54A4XHGM42ZNFS5MS57RPK74E/graph.json","fetch_events":"https://pith.science/api/pith-number/R54A4XHGM42ZNFS5MS57RPK74E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R54A4XHGM42ZNFS5MS57RPK74E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R54A4XHGM42ZNFS5MS57RPK74E/action/storage_attestation","attest_author":"https://pith.science/pith/R54A4XHGM42ZNFS5MS57RPK74E/action/author_attestation","sign_citation":"https://pith.science/pith/R54A4XHGM42ZNFS5MS57RPK74E/action/citation_signature","submit_replication":"https://pith.science/pith/R54A4XHGM42ZNFS5MS57RPK74E/action/replication_record"}},"created_at":"2026-05-17T23:59:43.568093+00:00","updated_at":"2026-05-17T23:59:43.568093+00:00"}