{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3XC6IHJHOBDNMBT7EIVEDSYMGG","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":"e35a3a78fb95ffd0002375ea307b0dbe34623b7ac5d86dfce2fb7a230a35ed2d","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-01-31T00:14:36Z","title_canon_sha256":"956859aafae236e6cc3e69c40abe0eb5af2ef9f79985ab0aea8fd8ff6ce36a19"},"schema_version":"1.0","source":{"id":"1602.00175","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.00175","created_at":"2026-05-18T01:21:36Z"},{"alias_kind":"arxiv_version","alias_value":"1602.00175v1","created_at":"2026-05-18T01:21:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.00175","created_at":"2026-05-18T01:21:36Z"},{"alias_kind":"pith_short_12","alias_value":"3XC6IHJHOBDN","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"3XC6IHJHOBDNMBT7","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"3XC6IHJH","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:6307f373094253928a8fb4b7002f865f0e4a6ae53b05d8e67f23627c58785d3a","target":"graph","created_at":"2026-05-18T01:21:36Z","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 obtain in this paper a non-asymptotic non-improvable up to multiplicative constant moment and exponential tail estimates for distribution for U-statistics by means of martingale representation.\n  We show also the exactness of obtained estimations in one way or another by providing appropriate examples.","authors_text":"E.Ostrovsky, L.Sirota","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-01-31T00:14:36Z","title":"Sharp moment and exponential tail estimates for U-statistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.00175","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":"sha256:5a2e544418b9ebd6f2e1f6f6fd8d8290563a61b3eb47d6fbb79780f661783eaa","target":"record","created_at":"2026-05-18T01:21:36Z","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":"e35a3a78fb95ffd0002375ea307b0dbe34623b7ac5d86dfce2fb7a230a35ed2d","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-01-31T00:14:36Z","title_canon_sha256":"956859aafae236e6cc3e69c40abe0eb5af2ef9f79985ab0aea8fd8ff6ce36a19"},"schema_version":"1.0","source":{"id":"1602.00175","kind":"arxiv","version":1}},"canonical_sha256":"ddc5e41d277046d6067f222a41cb0c318de1abbf90705ae96518274eccff4380","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ddc5e41d277046d6067f222a41cb0c318de1abbf90705ae96518274eccff4380","first_computed_at":"2026-05-18T01:21:36.112565Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:36.112565Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sNZCP3dgR9uVbyX0uQrUyYFAfDXX7dBAYAYoHLSVgthP0z3/JOWeLFSXqbH8Ay95v1CJFfErhYG+W9cMMd4/Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:36.113166Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.00175","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a2e544418b9ebd6f2e1f6f6fd8d8290563a61b3eb47d6fbb79780f661783eaa","sha256:6307f373094253928a8fb4b7002f865f0e4a6ae53b05d8e67f23627c58785d3a"],"state_sha256":"228c6a6927af7b89671785db11886417da63dff15ba5cc562ea2e2f7db97bbb7"}