{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:K4QZKQ3XBYBTDKPAV3R4Q42FUE","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":"4b6ebf85892990a05b18199a7fd35f52b20354f731636a948c16fd1cba159d19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-07-15T22:59:51Z","title_canon_sha256":"a26c0d8ba5bd0da4ed57acf468dbb8819754dd1c6f1502588ad402918c26705e"},"schema_version":"1.0","source":{"id":"1907.06785","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.06785","created_at":"2026-05-17T23:40:10Z"},{"alias_kind":"arxiv_version","alias_value":"1907.06785v2","created_at":"2026-05-17T23:40:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.06785","created_at":"2026-05-17T23:40:10Z"},{"alias_kind":"pith_short_12","alias_value":"K4QZKQ3XBYBT","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"K4QZKQ3XBYBTDKPA","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"K4QZKQ3X","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:43d629aff23fdf4d5d8e9aa93ed2d5b57e62890d087d1c4ff02d76843d6503ef","target":"graph","created_at":"2026-05-17T23:40:10Z","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":"We present a short proof of Klartag's central limit theorem for convex bodies, using only the most classical facts about log-concave functions. An appendix is included where we give the proof that thin shell implies CLT. The paper is accessible to anyone.","authors_text":"Daniel J. Fresen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-07-15T22:59:51Z","title":"A simplified proof of CLT for convex bodies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.06785","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":"sha256:3e0dff73459b98cd6f52db2b55cef19afd7be42ae7107da0efb5480deec5cdea","target":"record","created_at":"2026-05-17T23:40:10Z","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":"4b6ebf85892990a05b18199a7fd35f52b20354f731636a948c16fd1cba159d19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-07-15T22:59:51Z","title_canon_sha256":"a26c0d8ba5bd0da4ed57acf468dbb8819754dd1c6f1502588ad402918c26705e"},"schema_version":"1.0","source":{"id":"1907.06785","kind":"arxiv","version":2}},"canonical_sha256":"57219543770e0331a9e0aee3c87345a104321042952ff8d95ea80be56c146af5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57219543770e0331a9e0aee3c87345a104321042952ff8d95ea80be56c146af5","first_computed_at":"2026-05-17T23:40:10.605340Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:10.605340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MgOTk4KlO5Oq4g5bBetiOCjRs/z5DqP6pnY49ZexBs/qVci9Id9iWGSVEqatcIdLgCc5AF+QE1VI8ApiEsMnAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:10.605972Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.06785","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e0dff73459b98cd6f52db2b55cef19afd7be42ae7107da0efb5480deec5cdea","sha256:43d629aff23fdf4d5d8e9aa93ed2d5b57e62890d087d1c4ff02d76843d6503ef"],"state_sha256":"9afece831b3ed83ab38f3910aca09ef0aba1d1b4cd3a94273c829880266b14ef"}