{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:CDVENZQZJVMMFAVDRPSB4GPG6P","short_pith_number":"pith:CDVENZQZ","schema_version":"1.0","canonical_sha256":"10ea46e6194d58c282a38be41e19e6f3f5b11e71dc65d1c85582a432991c5cb8","source":{"kind":"arxiv","id":"1704.01094","version":5},"attestation_state":"computed","paper":{"title":"Stein's method for nonconventional sums","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Yeor Hafouta","submitted_at":"2017-04-04T16:33:57Z","abstract_excerpt":"We obtain almost optimal convergence rate in the central limit theorem for \"nonconevntional\" sums of the form $S_N=N^{-\\frac12}\\sum_{n=1}^N (F(\\xi_n,\\xi_{2n},...,\\xi_{\\ell n})-\\bar F)$."},"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":"1704.01094","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-04T16:33:57Z","cross_cats_sorted":[],"title_canon_sha256":"a42f32a9f9b792198f7b36d5930412017585c5bad024cea33c55a222f41c7d7d","abstract_canon_sha256":"7bbd13e5f5f732fe3272692b9e066cf33c3e2f0e642753cfe04a1fab543c10a5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:46.367072Z","signature_b64":"goGKjufwq2qaMX5DoWtmcmvYL/GLuKP901l5Vkmi4cLRg/VeX19BMcyOLuFaQyTShajD61g0XOLYAgvlQLaWDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10ea46e6194d58c282a38be41e19e6f3f5b11e71dc65d1c85582a432991c5cb8","last_reissued_at":"2026-05-18T00:26:46.366506Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:46.366506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stein's method for nonconventional sums","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Yeor Hafouta","submitted_at":"2017-04-04T16:33:57Z","abstract_excerpt":"We obtain almost optimal convergence rate in the central limit theorem for \"nonconevntional\" sums of the form $S_N=N^{-\\frac12}\\sum_{n=1}^N (F(\\xi_n,\\xi_{2n},...,\\xi_{\\ell n})-\\bar F)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01094","kind":"arxiv","version":5},"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":"1704.01094","created_at":"2026-05-18T00:26:46.366594+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.01094v5","created_at":"2026-05-18T00:26:46.366594+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.01094","created_at":"2026-05-18T00:26:46.366594+00:00"},{"alias_kind":"pith_short_12","alias_value":"CDVENZQZJVMM","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"CDVENZQZJVMMFAVD","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"CDVENZQZ","created_at":"2026-05-18T12:31:10.602751+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/CDVENZQZJVMMFAVDRPSB4GPG6P","json":"https://pith.science/pith/CDVENZQZJVMMFAVDRPSB4GPG6P.json","graph_json":"https://pith.science/api/pith-number/CDVENZQZJVMMFAVDRPSB4GPG6P/graph.json","events_json":"https://pith.science/api/pith-number/CDVENZQZJVMMFAVDRPSB4GPG6P/events.json","paper":"https://pith.science/paper/CDVENZQZ"},"agent_actions":{"view_html":"https://pith.science/pith/CDVENZQZJVMMFAVDRPSB4GPG6P","download_json":"https://pith.science/pith/CDVENZQZJVMMFAVDRPSB4GPG6P.json","view_paper":"https://pith.science/paper/CDVENZQZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.01094&json=true","fetch_graph":"https://pith.science/api/pith-number/CDVENZQZJVMMFAVDRPSB4GPG6P/graph.json","fetch_events":"https://pith.science/api/pith-number/CDVENZQZJVMMFAVDRPSB4GPG6P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CDVENZQZJVMMFAVDRPSB4GPG6P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CDVENZQZJVMMFAVDRPSB4GPG6P/action/storage_attestation","attest_author":"https://pith.science/pith/CDVENZQZJVMMFAVDRPSB4GPG6P/action/author_attestation","sign_citation":"https://pith.science/pith/CDVENZQZJVMMFAVDRPSB4GPG6P/action/citation_signature","submit_replication":"https://pith.science/pith/CDVENZQZJVMMFAVDRPSB4GPG6P/action/replication_record"}},"created_at":"2026-05-18T00:26:46.366594+00:00","updated_at":"2026-05-18T00:26:46.366594+00:00"}