{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YYBDH6GFI5HTCPJQJSUKX6DMV6","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":"f7a9168443b96b6ab3329fef456c3d727674b62e8764223c654b615e30990d6b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-08-23T19:20:38Z","title_canon_sha256":"6550b9fcf0f79392e3f39abfef377e81aafb09c2cc8c068b0823d83d10774ef7"},"schema_version":"1.0","source":{"id":"1508.05646","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.05646","created_at":"2026-05-18T01:34:52Z"},{"alias_kind":"arxiv_version","alias_value":"1508.05646v1","created_at":"2026-05-18T01:34:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.05646","created_at":"2026-05-18T01:34:52Z"},{"alias_kind":"pith_short_12","alias_value":"YYBDH6GFI5HT","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"YYBDH6GFI5HTCPJQ","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"YYBDH6GF","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:5cd3385589f11ce9618c72fdf255a7e90d416916ab7d8ae83ab5823c1f507f0e","target":"graph","created_at":"2026-05-18T01:34:52Z","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 construct an example of a continuous centered random process with light tails of finite-dimensional distribution but with (relatively) heavy tail of maximum distribution.\n  The apparatus for tails comparison are embedding results for Orlicz and Grand Lebesgue Spaces (GLS).","authors_text":"Eugene Ostrovsky, Leonid Sirota","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-08-23T19:20:38Z","title":"Can the tail for maximum of continuous random field be significantly more heavy than maximum of tails?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.05646","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":"sha256:6dfad30ee7bd473c94e099c924184f047dcc044991a3eef9411aecdb32112fb3","target":"record","created_at":"2026-05-18T01:34:52Z","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":"f7a9168443b96b6ab3329fef456c3d727674b62e8764223c654b615e30990d6b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-08-23T19:20:38Z","title_canon_sha256":"6550b9fcf0f79392e3f39abfef377e81aafb09c2cc8c068b0823d83d10774ef7"},"schema_version":"1.0","source":{"id":"1508.05646","kind":"arxiv","version":1}},"canonical_sha256":"c60233f8c5474f313d304ca8abf86cafac6f4c6c1880844d0df51d056165fef5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c60233f8c5474f313d304ca8abf86cafac6f4c6c1880844d0df51d056165fef5","first_computed_at":"2026-05-18T01:34:52.009719Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:52.009719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8JnfGCqYVgALy8Tkn381fBDdItGFWNuiWZIK2qy3T641zq1L4s4okNe3ffNk2pvEBFRD3oPByPc/R7zvMPL1Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:52.010141Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.05646","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6dfad30ee7bd473c94e099c924184f047dcc044991a3eef9411aecdb32112fb3","sha256:5cd3385589f11ce9618c72fdf255a7e90d416916ab7d8ae83ab5823c1f507f0e"],"state_sha256":"f2f5c14bbd5e60a403715d5b1ec6280ff8e55158ef22ada3526a3204c9ab5797"}