{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2XDXQSGE6375X6ZMLVCVUIGG32","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":"32f5361095d4e333cd705c1f278ad5b3b53aa50d869c9ac176574e6d0893f9a6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.OT","submitted_at":"2012-08-07T18:24:36Z","title_canon_sha256":"453bf80cb2eeaf487c7548570b010b1c0342d342829135d1ae38c4882bd55dc6"},"schema_version":"1.0","source":{"id":"1208.1487","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.1487","created_at":"2026-05-18T00:57:05Z"},{"alias_kind":"arxiv_version","alias_value":"1208.1487v3","created_at":"2026-05-18T00:57:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1487","created_at":"2026-05-18T00:57:05Z"},{"alias_kind":"pith_short_12","alias_value":"2XDXQSGE6375","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2XDXQSGE6375X6ZM","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2XDXQSGE","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:1f6bee52971a3c5816278e0902b114cf4bac7b80b3cc9be7746eadf3e485b5fb","target":"graph","created_at":"2026-05-18T00:57:05Z","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":"Association of random variables and Demimartingales are recent fields for handling asymptotic behaviors of sums of dependent random variables. We apply their techniques to establish the asymptotic law of a demimartingale\n  We next apply the results to find the asymptotic behavior the functional Hill process for small parameters within the Extreme Value Theory (EVT) field. Such a result would have been very hard to find whithout demimartingales techniques.","authors_text":"Adja Mbarka Fall, Cheikhna Hamallah Ndiaye, Gane Samb Lo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.OT","submitted_at":"2012-08-07T18:24:36Z","title":"Demmartingales and the functionnal Hill process for small parameters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1487","kind":"arxiv","version":3},"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":"sha256:5cfe7ce59cb145c01c1ccb244a3ce8eb0025f9162553deb0adae182fb8624dcb","target":"record","created_at":"2026-05-18T00:57:05Z","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":"32f5361095d4e333cd705c1f278ad5b3b53aa50d869c9ac176574e6d0893f9a6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.OT","submitted_at":"2012-08-07T18:24:36Z","title_canon_sha256":"453bf80cb2eeaf487c7548570b010b1c0342d342829135d1ae38c4882bd55dc6"},"schema_version":"1.0","source":{"id":"1208.1487","kind":"arxiv","version":3}},"canonical_sha256":"d5c77848c4f6ffdbfb2c5d455a20c6dea61410d23613c8fdfdc9d70c6a9944d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5c77848c4f6ffdbfb2c5d455a20c6dea61410d23613c8fdfdc9d70c6a9944d6","first_computed_at":"2026-05-18T00:57:05.182495Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:05.182495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i/VAku84nfp3vweDHwDz2e02JlngEZou21b32z0CR4GZauZnBVW9ZbBIz4oxlEoI4WxbWpheTYyEWnQCD1ghCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:05.182982Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.1487","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5cfe7ce59cb145c01c1ccb244a3ce8eb0025f9162553deb0adae182fb8624dcb","sha256:1f6bee52971a3c5816278e0902b114cf4bac7b80b3cc9be7746eadf3e485b5fb"],"state_sha256":"1c3df0be4cddf007555196ecddfe1adb914fa7ec5bd269e0b796ba6a689141d8"}