{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:A7ONNWYOKXELYYBIYK3VW7F2AB","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":"12b523c62fa9814235e8e2f52f248f4b1858607629fca1770c209ce86b504bab","cross_cats_sorted":["cs.CV","math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-10T15:13:00Z","title_canon_sha256":"9c9a4ce2c455181e041ad7dc8c0f7b688658c7d9f329061f28a48331028de105"},"schema_version":"1.0","source":{"id":"1109.2227","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.2227","created_at":"2026-05-18T04:12:10Z"},{"alias_kind":"arxiv_version","alias_value":"1109.2227v3","created_at":"2026-05-18T04:12:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.2227","created_at":"2026-05-18T04:12:10Z"},{"alias_kind":"pith_short_12","alias_value":"A7ONNWYOKXEL","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"A7ONNWYOKXELYYBI","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"A7ONNWYO","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:caa2a335893a53f183912f0778abf1ef4d6f63ed769c7e79af528c1302f47306","target":"graph","created_at":"2026-05-18T04:12:10Z","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 note, we give a probabilistic interpretation of the Central Limit Theorem used for approximating isotropic Gaussians in [1].","authors_text":"Kunal Narayan Chaudhury","cross_cats":["cs.CV","math.IT","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-10T15:13:00Z","title":"A radial version of the Central Limit Theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.2227","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:b9e3e134a100ac74cac58d88be28599dff2070484c3238e0fac759fc78c00a74","target":"record","created_at":"2026-05-18T04:12:10Z","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":"12b523c62fa9814235e8e2f52f248f4b1858607629fca1770c209ce86b504bab","cross_cats_sorted":["cs.CV","math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-10T15:13:00Z","title_canon_sha256":"9c9a4ce2c455181e041ad7dc8c0f7b688658c7d9f329061f28a48331028de105"},"schema_version":"1.0","source":{"id":"1109.2227","kind":"arxiv","version":3}},"canonical_sha256":"07dcd6db0e55c8bc6028c2b75b7cba005b6c4f00aa42e447c66588edc8c26b07","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07dcd6db0e55c8bc6028c2b75b7cba005b6c4f00aa42e447c66588edc8c26b07","first_computed_at":"2026-05-18T04:12:10.044092Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:10.044092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g+Ha98xp33vhg3cLIr1BEyBWt2bEYJ18X8faJWZ3gPHOvUTo2x2RY7amolKBCqjSB8T3XpMs0YtQIw0PEpfwAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:10.044780Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.2227","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9e3e134a100ac74cac58d88be28599dff2070484c3238e0fac759fc78c00a74","sha256:caa2a335893a53f183912f0778abf1ef4d6f63ed769c7e79af528c1302f47306"],"state_sha256":"8c613bffc1afacbe9483a09f982de2a7f289cc982626ef5b5cf9e82d57d21155"}