{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JWS5HU2GUVE3OWI2RA2JQPWBB2","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":"9f1308d0f7f44b8c42dcdf0a1af496a9cd7f1468d1878b4c76592c8a2f778811","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-16T16:57:01Z","title_canon_sha256":"605e05c65f244548ef6ed179333f456d950427e2216f9ebc13119ce6984566e6"},"schema_version":"1.0","source":{"id":"1505.04292","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.04292","created_at":"2026-05-18T01:59:57Z"},{"alias_kind":"arxiv_version","alias_value":"1505.04292v2","created_at":"2026-05-18T01:59:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.04292","created_at":"2026-05-18T01:59:57Z"},{"alias_kind":"pith_short_12","alias_value":"JWS5HU2GUVE3","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JWS5HU2GUVE3OWI2","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JWS5HU2G","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:ff8b4ad4d1e1b4339e4b28ce3871d42b2c1b9bc313b52c4aefe92c41be740e8a","target":"graph","created_at":"2026-05-18T01:59:57Z","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":"In this paper exact confidence intervals for the Orey index of Gaussian processes are obtained using concentration inequalities for Gaussian quadratic forms and discrete observations of the underlying process. The obtained result is applied to Gaussian processes with the Orey index which not necessarily have stationary increments.","authors_text":"Dmitrij Melichov, Kestutis Kubilius","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-16T16:57:01Z","title":"Exact confidence intervals of the extended Orey index for Gaussian processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.04292","kind":"arxiv","version":2},"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:a3e2483b0818475535ad2d977b294a9fe497d3e5d0eb23bdad47e842316c9db2","target":"record","created_at":"2026-05-18T01:59:57Z","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":"9f1308d0f7f44b8c42dcdf0a1af496a9cd7f1468d1878b4c76592c8a2f778811","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-16T16:57:01Z","title_canon_sha256":"605e05c65f244548ef6ed179333f456d950427e2216f9ebc13119ce6984566e6"},"schema_version":"1.0","source":{"id":"1505.04292","kind":"arxiv","version":2}},"canonical_sha256":"4da5d3d346a549b7591a8834983ec10e83aacf3b9edb431ca5c829af691e8045","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4da5d3d346a549b7591a8834983ec10e83aacf3b9edb431ca5c829af691e8045","first_computed_at":"2026-05-18T01:59:57.284822Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:57.284822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L+MHuphbaV8ZyfaLKNLjmBavpy2bSm3ycF9O8H7+Ywo8Z0br8oSVOt11XD8yOn98WoaOI9Wz/j3wsIr2iR5UCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:57.285479Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.04292","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3e2483b0818475535ad2d977b294a9fe497d3e5d0eb23bdad47e842316c9db2","sha256:ff8b4ad4d1e1b4339e4b28ce3871d42b2c1b9bc313b52c4aefe92c41be740e8a"],"state_sha256":"d429a0f9f5495b7ef34cc14ca5b0a3dca06a9be05c47e93002601cb56f986feb"}