{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JX53LE5LZULRMMMZHVO5ADUAFY","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":"60e00dfe2742dcfdfa539688ddf834de8c4a54f3033ef8e8b2db02b3bbba7b29","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2017-02-03T16:18:01Z","title_canon_sha256":"8bb28d445741c9c7c041b93ac75243a5113af002cb682f282e960f31f01d00c3"},"schema_version":"1.0","source":{"id":"1702.01069","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.01069","created_at":"2026-05-18T00:31:23Z"},{"alias_kind":"arxiv_version","alias_value":"1702.01069v3","created_at":"2026-05-18T00:31:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.01069","created_at":"2026-05-18T00:31:23Z"},{"alias_kind":"pith_short_12","alias_value":"JX53LE5LZULR","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JX53LE5LZULRMMMZ","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JX53LE5L","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:9dcfa168cebab048461b89d70d86da40060c09b2a116fedf624886216ce683d8","target":"graph","created_at":"2026-05-18T00:31:23Z","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":"Short and transparent proofs of central limit theorems for intrinsic volumes of random polytopes in smooth convex bodies are presented. They combine different tools such as estimates for floating bodies with Stein's method from probability theory.","authors_text":"Christoph Thaele, Florian Wespi, Nicola Turchi","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2017-02-03T16:18:01Z","title":"Random polytopes: central limit theorems for intrinsic volumes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.01069","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:eb0154c79c739125f61220e90264f6bb9aafa4e56d80f043c68846f611bc2b54","target":"record","created_at":"2026-05-18T00:31:23Z","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":"60e00dfe2742dcfdfa539688ddf834de8c4a54f3033ef8e8b2db02b3bbba7b29","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2017-02-03T16:18:01Z","title_canon_sha256":"8bb28d445741c9c7c041b93ac75243a5113af002cb682f282e960f31f01d00c3"},"schema_version":"1.0","source":{"id":"1702.01069","kind":"arxiv","version":3}},"canonical_sha256":"4dfbb593abcd171631993d5dd00e802e3e61c3c7d0e68ca76950c86f9f804299","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4dfbb593abcd171631993d5dd00e802e3e61c3c7d0e68ca76950c86f9f804299","first_computed_at":"2026-05-18T00:31:23.901597Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:23.901597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3KHMSfvZiZax6aAg+OM23/qeQY/u5CbxGSiqZgzMdolRxLE4T594IyXf8ay75zFyaR3MP3ijtSC6+hT1Bi9/DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:23.902072Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.01069","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb0154c79c739125f61220e90264f6bb9aafa4e56d80f043c68846f611bc2b54","sha256:9dcfa168cebab048461b89d70d86da40060c09b2a116fedf624886216ce683d8"],"state_sha256":"4decd801c40dd39bd12163e026498dd3bc68d8e17d6f2fa6d5eb629568801098"}