{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:R2HTICN6NSN73NAR2K37NXJ772","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":"82590c20f4ab4c762d055a0f81d8b5ecf1fee0e3178c35c904f692207112a7bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-04-18T19:23:33Z","title_canon_sha256":"adbf8a47acf30366e0263075b3c60a9dfefa9ae018986ceaa8d687f847bbe875"},"schema_version":"1.0","source":{"id":"1604.05284","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.05284","created_at":"2026-05-18T01:07:56Z"},{"alias_kind":"arxiv_version","alias_value":"1604.05284v1","created_at":"2026-05-18T01:07:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05284","created_at":"2026-05-18T01:07:56Z"},{"alias_kind":"pith_short_12","alias_value":"R2HTICN6NSN7","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"R2HTICN6NSN73NAR","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"R2HTICN6","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:b6d880bd6ab20221d5614b761d0f4ff464a6bc0bc616e276c6362bf75b893127","target":"graph","created_at":"2026-05-18T01:07:56Z","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 decay rates of probabilities of tails of polynomials in several independent random variables with heavy tails and derive stable limit theorems for nonconventional sums of such polynomials","authors_text":"S.R.S. Varadhan, Yuri Kifer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-04-18T19:23:33Z","title":"Tails of Polynomials of Random Variables and Stable Limits for Nonconventional Sums"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05284","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":"sha256:5863cfb4e25d176229dfd297a43302543b6886cae16f847ecd16d5bba69c053d","target":"record","created_at":"2026-05-18T01:07:56Z","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":"82590c20f4ab4c762d055a0f81d8b5ecf1fee0e3178c35c904f692207112a7bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-04-18T19:23:33Z","title_canon_sha256":"adbf8a47acf30366e0263075b3c60a9dfefa9ae018986ceaa8d687f847bbe875"},"schema_version":"1.0","source":{"id":"1604.05284","kind":"arxiv","version":1}},"canonical_sha256":"8e8f3409be6c9bfdb411d2b7f6dd3ffe86a30ead4a596b376dade555afd860d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e8f3409be6c9bfdb411d2b7f6dd3ffe86a30ead4a596b376dade555afd860d4","first_computed_at":"2026-05-18T01:07:56.658912Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:56.658912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AAzusfVNhOKRSN0kR8q/sOek5O3MYeIi3tQkcbEjg4QwcCj5w7IdtonQ/04mq5tmPmYZ1/b/iOjyNj835eXwAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:56.659414Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.05284","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5863cfb4e25d176229dfd297a43302543b6886cae16f847ecd16d5bba69c053d","sha256:b6d880bd6ab20221d5614b761d0f4ff464a6bc0bc616e276c6362bf75b893127"],"state_sha256":"fe8ddada48c4b45868dc0fb350d312c00498444c6f2433008015c2c10a303034"}