{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:TGHKTLILALQ4NLMDBAQE2T44AR","short_pith_number":"pith:TGHKTLIL","schema_version":"1.0","canonical_sha256":"998ea9ad0b02e1c6ad8308204d4f9c04519afd0abab9a6d22e5bf4571dddf173","source":{"kind":"arxiv","id":"1805.00849","version":5},"attestation_state":"computed","paper":{"title":"Nonconventional moderate deviations theorems and exponential concentration inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Yeor Hafouta","submitted_at":"2018-05-02T14:54:57Z","abstract_excerpt":"We obtain moderate deviations theorems and exponential (Bernstein type) concentration inequalities for \"nonconventional\" sums of the form $S_N=\\sum_{n=1}^N (F(\\xi_{q_1(n)},\\xi_{q_2(n)},...,\\xi_{q_\\ell(n)})-\\bar F)$."},"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":"1805.00849","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-05-02T14:54:57Z","cross_cats_sorted":[],"title_canon_sha256":"4c4ac8a74f3e2433cba794da37bafaa2826f16daf9cc30eb2dfb0d781b76b77e","abstract_canon_sha256":"f51ae12a926d9576bd1b65e8361178600eed55ba4c5f972a9e92461b9d29858c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:31.793138Z","signature_b64":"pfcJOHEA2KKWXGIhxTGOZ0fh+jsUcR7x+TWrmruLD/3XlSyqHyyWzqxbpGzM2vZVVLlQDj1wKhxF//XBhxzaAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"998ea9ad0b02e1c6ad8308204d4f9c04519afd0abab9a6d22e5bf4571dddf173","last_reissued_at":"2026-05-17T23:54:31.792563Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:31.792563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonconventional moderate deviations theorems and exponential concentration inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Yeor Hafouta","submitted_at":"2018-05-02T14:54:57Z","abstract_excerpt":"We obtain moderate deviations theorems and exponential (Bernstein type) concentration inequalities for \"nonconventional\" sums of the form $S_N=\\sum_{n=1}^N (F(\\xi_{q_1(n)},\\xi_{q_2(n)},...,\\xi_{q_\\ell(n)})-\\bar F)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.00849","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":"1805.00849","created_at":"2026-05-17T23:54:31.792655+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.00849v5","created_at":"2026-05-17T23:54:31.792655+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.00849","created_at":"2026-05-17T23:54:31.792655+00:00"},{"alias_kind":"pith_short_12","alias_value":"TGHKTLILALQ4","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_16","alias_value":"TGHKTLILALQ4NLMD","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_8","alias_value":"TGHKTLIL","created_at":"2026-05-18T12:32:53.628368+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/TGHKTLILALQ4NLMDBAQE2T44AR","json":"https://pith.science/pith/TGHKTLILALQ4NLMDBAQE2T44AR.json","graph_json":"https://pith.science/api/pith-number/TGHKTLILALQ4NLMDBAQE2T44AR/graph.json","events_json":"https://pith.science/api/pith-number/TGHKTLILALQ4NLMDBAQE2T44AR/events.json","paper":"https://pith.science/paper/TGHKTLIL"},"agent_actions":{"view_html":"https://pith.science/pith/TGHKTLILALQ4NLMDBAQE2T44AR","download_json":"https://pith.science/pith/TGHKTLILALQ4NLMDBAQE2T44AR.json","view_paper":"https://pith.science/paper/TGHKTLIL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.00849&json=true","fetch_graph":"https://pith.science/api/pith-number/TGHKTLILALQ4NLMDBAQE2T44AR/graph.json","fetch_events":"https://pith.science/api/pith-number/TGHKTLILALQ4NLMDBAQE2T44AR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TGHKTLILALQ4NLMDBAQE2T44AR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TGHKTLILALQ4NLMDBAQE2T44AR/action/storage_attestation","attest_author":"https://pith.science/pith/TGHKTLILALQ4NLMDBAQE2T44AR/action/author_attestation","sign_citation":"https://pith.science/pith/TGHKTLILALQ4NLMDBAQE2T44AR/action/citation_signature","submit_replication":"https://pith.science/pith/TGHKTLILALQ4NLMDBAQE2T44AR/action/replication_record"}},"created_at":"2026-05-17T23:54:31.792655+00:00","updated_at":"2026-05-17T23:54:31.792655+00:00"}