{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:2WFLJSBEJYB57H75MY4PQGDKCK","short_pith_number":"pith:2WFLJSBE","schema_version":"1.0","canonical_sha256":"d58ab4c8244e03df9ffd6638f8186a129b2ef38da46294a6ac2a70bdfcb2c9c4","source":{"kind":"arxiv","id":"1905.05164","version":1},"attestation_state":"computed","paper":{"title":"Local limit theorem in deterministic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.DS","authors_text":"Dalibor Volny, Zemer Kosloff","submitted_at":"2019-05-13T17:47:31Z","abstract_excerpt":"We show that for every ergodic and aperiodic probability preserving system, there exists a $\\mathbb{Z}$ valued, square integrable function $f$ such that the partial sums process of the time series $\\left\\{f\\circ T^i\\right\\}_{i=0}^\\infty$ satisfies the lattice local limit theorem."},"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":"1905.05164","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-05-13T17:47:31Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"3adc1a8eb0fc9ca4f4809e9839e68026a32a3a3131f6e7de940eba5ac4328d4b","abstract_canon_sha256":"e85b05f73fe1973d0057aced98b282103e308c775a2e4c2ebae292532a4b0c61"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:22.359624Z","signature_b64":"Bd1+B67/9drtsbSBTAhVMZipRnxEtkZgcwnwZEGmLbG+ld2aifyTjjWttInPMiWHoIU1n4UlLvPsRsntMwOjAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d58ab4c8244e03df9ffd6638f8186a129b2ef38da46294a6ac2a70bdfcb2c9c4","last_reissued_at":"2026-05-17T23:46:22.358997Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:22.358997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local limit theorem in deterministic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.DS","authors_text":"Dalibor Volny, Zemer Kosloff","submitted_at":"2019-05-13T17:47:31Z","abstract_excerpt":"We show that for every ergodic and aperiodic probability preserving system, there exists a $\\mathbb{Z}$ valued, square integrable function $f$ such that the partial sums process of the time series $\\left\\{f\\circ T^i\\right\\}_{i=0}^\\infty$ satisfies the lattice local limit theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.05164","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":"1905.05164","created_at":"2026-05-17T23:46:22.359081+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.05164v1","created_at":"2026-05-17T23:46:22.359081+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.05164","created_at":"2026-05-17T23:46:22.359081+00:00"},{"alias_kind":"pith_short_12","alias_value":"2WFLJSBEJYB5","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_16","alias_value":"2WFLJSBEJYB57H75","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_8","alias_value":"2WFLJSBE","created_at":"2026-05-18T12:33:07.085635+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/2WFLJSBEJYB57H75MY4PQGDKCK","json":"https://pith.science/pith/2WFLJSBEJYB57H75MY4PQGDKCK.json","graph_json":"https://pith.science/api/pith-number/2WFLJSBEJYB57H75MY4PQGDKCK/graph.json","events_json":"https://pith.science/api/pith-number/2WFLJSBEJYB57H75MY4PQGDKCK/events.json","paper":"https://pith.science/paper/2WFLJSBE"},"agent_actions":{"view_html":"https://pith.science/pith/2WFLJSBEJYB57H75MY4PQGDKCK","download_json":"https://pith.science/pith/2WFLJSBEJYB57H75MY4PQGDKCK.json","view_paper":"https://pith.science/paper/2WFLJSBE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.05164&json=true","fetch_graph":"https://pith.science/api/pith-number/2WFLJSBEJYB57H75MY4PQGDKCK/graph.json","fetch_events":"https://pith.science/api/pith-number/2WFLJSBEJYB57H75MY4PQGDKCK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2WFLJSBEJYB57H75MY4PQGDKCK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2WFLJSBEJYB57H75MY4PQGDKCK/action/storage_attestation","attest_author":"https://pith.science/pith/2WFLJSBEJYB57H75MY4PQGDKCK/action/author_attestation","sign_citation":"https://pith.science/pith/2WFLJSBEJYB57H75MY4PQGDKCK/action/citation_signature","submit_replication":"https://pith.science/pith/2WFLJSBEJYB57H75MY4PQGDKCK/action/replication_record"}},"created_at":"2026-05-17T23:46:22.359081+00:00","updated_at":"2026-05-17T23:46:22.359081+00:00"}