{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:MIG6NSTQJ4AEAHK4FWLXMRFH5D","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":"ff9f976ff3bae5aaee26b21dce24c7bb38454895267f60f969233c28caea58db","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-06-27T15:45:53Z","title_canon_sha256":"0a614488f872a484581144c3d32e2636e317f11173c0df4f5e576f9848c87803"},"schema_version":"1.0","source":{"id":"1506.08304","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.08304","created_at":"2026-05-18T01:37:46Z"},{"alias_kind":"arxiv_version","alias_value":"1506.08304v1","created_at":"2026-05-18T01:37:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.08304","created_at":"2026-05-18T01:37:46Z"},{"alias_kind":"pith_short_12","alias_value":"MIG6NSTQJ4AE","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"MIG6NSTQJ4AEAHK4","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"MIG6NSTQ","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:8efb3334a1cbc6c62c067d7578308002bd86d29ae16d5b5a257b237d4502ae2b","target":"graph","created_at":"2026-05-18T01:37:46Z","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":"The purpose of this paper is to establish a general strong law of large numbers (SLLN) for arbitrary sequences of random variables (rv's) based on the squared indice method and to provide applications to SLLN of associated sequences. This SLLN is compared to those based on the H\\'ajek-R\\'enyi type inequality. Nontrivial examples are given. An interesting issue that is related to extreme value theory (EVT) is handled here.","authors_text":"Gane Samb Lo, Harouna Sangare","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-06-27T15:45:53Z","title":"A general strong law of large numbers and applications to associated sequences and to extreme value theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.08304","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":"sha256:6f1bf7d9c6c0f41f91d135793a0c3d0b8315edb49b0da81ad3469d4a1d80c81b","target":"record","created_at":"2026-05-18T01:37:46Z","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":"ff9f976ff3bae5aaee26b21dce24c7bb38454895267f60f969233c28caea58db","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-06-27T15:45:53Z","title_canon_sha256":"0a614488f872a484581144c3d32e2636e317f11173c0df4f5e576f9848c87803"},"schema_version":"1.0","source":{"id":"1506.08304","kind":"arxiv","version":1}},"canonical_sha256":"620de6ca704f00401d5c2d977644a7e8f266e75f0e6c2e0e94e0484c9f377080","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"620de6ca704f00401d5c2d977644a7e8f266e75f0e6c2e0e94e0484c9f377080","first_computed_at":"2026-05-18T01:37:46.838651Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:46.838651Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ccTev99TuDLA/wwZtrZ9kG/GIpG1Y5srbnRmkdpdbiQIqoYhYCFe4rvyb3H++y2bRga78jI1VTcR3wFTMGz2DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:46.839053Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.08304","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f1bf7d9c6c0f41f91d135793a0c3d0b8315edb49b0da81ad3469d4a1d80c81b","sha256:8efb3334a1cbc6c62c067d7578308002bd86d29ae16d5b5a257b237d4502ae2b"],"state_sha256":"c9ec8d1e3b3fc33089bbbe73280365ab7a45208798eab07999da168fb9e89ad1"}