{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZEXAWFHCEPQMKTWYVW62QZUXZL","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":"4f607c7f75cb72f8032d4e9e9d8684b4f8c2261f5ba306a3cc5d54c8fd26126d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-11-08T20:58:12Z","title_canon_sha256":"01ff8435d886254add3e9dcf23298993a59b18d95e7ee3251c923ad4265bf8b4"},"schema_version":"1.0","source":{"id":"1211.1967","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1967","created_at":"2026-05-18T03:41:13Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1967v1","created_at":"2026-05-18T03:41:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1967","created_at":"2026-05-18T03:41:13Z"},{"alias_kind":"pith_short_12","alias_value":"ZEXAWFHCEPQM","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZEXAWFHCEPQMKTWY","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZEXAWFHC","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:b529dc6b0bb5c2f4c7d21e4249d2cf316137915b2ae7b07c9306f8fbc1e0465c","target":"graph","created_at":"2026-05-18T03:41:13Z","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 prove a central limit theorem for functionals of two independent $d$-dimensional fractional Brownian motions with the same Hurst index $H$ in $(\\frac{2}{d+1},\\frac{2}{d})$ using the method of moments.","authors_text":"David Nualart, Fangjun Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-11-08T20:58:12Z","title":"Central limit theorem for functionals of two independent fractional Brownian motions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1967","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":"sha256:79889407b507b95b871bc369f60e8a2e9d99527666fde1c4a451f6b7b62c8ef6","target":"record","created_at":"2026-05-18T03:41:13Z","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":"4f607c7f75cb72f8032d4e9e9d8684b4f8c2261f5ba306a3cc5d54c8fd26126d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-11-08T20:58:12Z","title_canon_sha256":"01ff8435d886254add3e9dcf23298993a59b18d95e7ee3251c923ad4265bf8b4"},"schema_version":"1.0","source":{"id":"1211.1967","kind":"arxiv","version":1}},"canonical_sha256":"c92e0b14e223e0c54ed8adbda86697cad0cb79008bd6249255bd47784eeea731","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c92e0b14e223e0c54ed8adbda86697cad0cb79008bd6249255bd47784eeea731","first_computed_at":"2026-05-18T03:41:13.102465Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:13.102465Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LMYVjEuJic3hTMcqZjRif15YuWM4bbM+gEVo2umHlq9FAUKWUufeQPlKKDX7GZC1sDyPx+vhU0jCf1Q7wxhZDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:13.103133Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.1967","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79889407b507b95b871bc369f60e8a2e9d99527666fde1c4a451f6b7b62c8ef6","sha256:b529dc6b0bb5c2f4c7d21e4249d2cf316137915b2ae7b07c9306f8fbc1e0465c"],"state_sha256":"59789977f8e64f849197460fd99bf224578c9535e9f0b6219b08542d5cc74f51"}