{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:UYQEJV26XAJWTVQVDAOY23ND3L","short_pith_number":"pith:UYQEJV26","canonical_record":{"source":{"id":"1608.01666","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-04T19:58:55Z","cross_cats_sorted":[],"title_canon_sha256":"e2959f7a89685f192dc9dde9fe771e711d2fbfa5a59e8c35365b3dd41233015f","abstract_canon_sha256":"0e42b7867b16ef1f560040f50b38fa8e37fa815449af52b90dc089c9302f41b1"},"schema_version":"1.0"},"canonical_sha256":"a62044d75eb81369d615181d8d6da3dade89f8a2cd97b6db06161a02d1d063ab","source":{"kind":"arxiv","id":"1608.01666","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.01666","created_at":"2026-05-18T01:01:08Z"},{"alias_kind":"arxiv_version","alias_value":"1608.01666v4","created_at":"2026-05-18T01:01:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.01666","created_at":"2026-05-18T01:01:08Z"},{"alias_kind":"pith_short_12","alias_value":"UYQEJV26XAJW","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UYQEJV26XAJWTVQV","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UYQEJV26","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:UYQEJV26XAJWTVQVDAOY23ND3L","target":"record","payload":{"canonical_record":{"source":{"id":"1608.01666","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-04T19:58:55Z","cross_cats_sorted":[],"title_canon_sha256":"e2959f7a89685f192dc9dde9fe771e711d2fbfa5a59e8c35365b3dd41233015f","abstract_canon_sha256":"0e42b7867b16ef1f560040f50b38fa8e37fa815449af52b90dc089c9302f41b1"},"schema_version":"1.0"},"canonical_sha256":"a62044d75eb81369d615181d8d6da3dade89f8a2cd97b6db06161a02d1d063ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:08.235142Z","signature_b64":"Kt5+YDuHa8LS72LGLAAnDFUvK41F5eQsRHqP25hdhW3ffPmSoKW6p67sJwj4BIPMoLu090on1UqJJHVuhl+7DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a62044d75eb81369d615181d8d6da3dade89f8a2cd97b6db06161a02d1d063ab","last_reissued_at":"2026-05-18T01:01:08.234407Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:08.234407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.01666","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:01:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FRaHgcPOgwv0J1LrEs43/ca4MA+ou2PCTFfZCDbUyae+8nktCVedwUYGnWNa6k+3VmWawf1iB8MfWorCP525Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:29:04.141730Z"},"content_sha256":"20da7e4068daed70b4dfa965ce01b5965ef44861ed3e5c0c7a5f8df423e96373","schema_version":"1.0","event_id":"sha256:20da7e4068daed70b4dfa965ce01b5965ef44861ed3e5c0c7a5f8df423e96373"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:UYQEJV26XAJWTVQVDAOY23ND3L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A central limit theorem for a new statistic on permutations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Persi Diaconis, Sourav Chatterjee","submitted_at":"2016-08-04T19:58:55Z","abstract_excerpt":"This paper does three things: It proves a central limit theorem for novel permutation statistics (for example, the number of descents plus the number of descents in the inverse). It provides a clear illustration of a new approach to proving central limit theorems more generally. It gives us an opportunity to acknowledge the work of our teacher and friend B. V. Rao."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.01666","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:01:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jvsiztpOJRZYqX5eYQq3JcfRuBIMOWTZfux/k9+sl5DnUMKe+wGagYTSdACpcdM7LPZUtw2VHcFYBjUm47xKAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:29:04.142135Z"},"content_sha256":"e3805dfe039e71ea51854a8d3970ba4f125ea3155b8a2fe42bb0d353b15a407a","schema_version":"1.0","event_id":"sha256:e3805dfe039e71ea51854a8d3970ba4f125ea3155b8a2fe42bb0d353b15a407a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UYQEJV26XAJWTVQVDAOY23ND3L/bundle.json","state_url":"https://pith.science/pith/UYQEJV26XAJWTVQVDAOY23ND3L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UYQEJV26XAJWTVQVDAOY23ND3L/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-03T05:29:04Z","links":{"resolver":"https://pith.science/pith/UYQEJV26XAJWTVQVDAOY23ND3L","bundle":"https://pith.science/pith/UYQEJV26XAJWTVQVDAOY23ND3L/bundle.json","state":"https://pith.science/pith/UYQEJV26XAJWTVQVDAOY23ND3L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UYQEJV26XAJWTVQVDAOY23ND3L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UYQEJV26XAJWTVQVDAOY23ND3L","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":"0e42b7867b16ef1f560040f50b38fa8e37fa815449af52b90dc089c9302f41b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-04T19:58:55Z","title_canon_sha256":"e2959f7a89685f192dc9dde9fe771e711d2fbfa5a59e8c35365b3dd41233015f"},"schema_version":"1.0","source":{"id":"1608.01666","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.01666","created_at":"2026-05-18T01:01:08Z"},{"alias_kind":"arxiv_version","alias_value":"1608.01666v4","created_at":"2026-05-18T01:01:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.01666","created_at":"2026-05-18T01:01:08Z"},{"alias_kind":"pith_short_12","alias_value":"UYQEJV26XAJW","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UYQEJV26XAJWTVQV","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UYQEJV26","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:e3805dfe039e71ea51854a8d3970ba4f125ea3155b8a2fe42bb0d353b15a407a","target":"graph","created_at":"2026-05-18T01:01:08Z","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":"This paper does three things: It proves a central limit theorem for novel permutation statistics (for example, the number of descents plus the number of descents in the inverse). It provides a clear illustration of a new approach to proving central limit theorems more generally. It gives us an opportunity to acknowledge the work of our teacher and friend B. V. Rao.","authors_text":"Persi Diaconis, Sourav Chatterjee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-04T19:58:55Z","title":"A central limit theorem for a new statistic on permutations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.01666","kind":"arxiv","version":4},"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":"sha256:20da7e4068daed70b4dfa965ce01b5965ef44861ed3e5c0c7a5f8df423e96373","target":"record","created_at":"2026-05-18T01:01:08Z","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":"0e42b7867b16ef1f560040f50b38fa8e37fa815449af52b90dc089c9302f41b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-04T19:58:55Z","title_canon_sha256":"e2959f7a89685f192dc9dde9fe771e711d2fbfa5a59e8c35365b3dd41233015f"},"schema_version":"1.0","source":{"id":"1608.01666","kind":"arxiv","version":4}},"canonical_sha256":"a62044d75eb81369d615181d8d6da3dade89f8a2cd97b6db06161a02d1d063ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a62044d75eb81369d615181d8d6da3dade89f8a2cd97b6db06161a02d1d063ab","first_computed_at":"2026-05-18T01:01:08.234407Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:08.234407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Kt5+YDuHa8LS72LGLAAnDFUvK41F5eQsRHqP25hdhW3ffPmSoKW6p67sJwj4BIPMoLu090on1UqJJHVuhl+7DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:08.235142Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.01666","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20da7e4068daed70b4dfa965ce01b5965ef44861ed3e5c0c7a5f8df423e96373","sha256:e3805dfe039e71ea51854a8d3970ba4f125ea3155b8a2fe42bb0d353b15a407a"],"state_sha256":"c14e750f8f987553fc09d9bd3e8c5eeaab2a879df51817a234527ba236de759f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sl1e4fofhM21VcG5OkbWl/ew3s1Gn522mDxs2TEsm4HG49KqsI/q+bmcwZ8xLWH4gHSPxLXnqx8MJRIxdKpkBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T05:29:04.144409Z","bundle_sha256":"1df9d623fb8064ac59f49b076202e25c0a6d79425c8454e4c55b2ab418826519"}}