{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:STU3QJASNHSJ5MYR7WI6XH7VAM","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":"6c9d4723ec19e0eb2a1f6f078363f1cf1ee9c85d7a6fabed1f027e697ee7db5c","cross_cats_sorted":["cs.DM","math.PR","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2022-04-27T00:18:17Z","title_canon_sha256":"e79786f278e37f9911eeee95873467fefd7967078bef6a81fc57a96113eb0809"},"schema_version":"1.0","source":{"id":"2204.12640","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2204.12640","created_at":"2026-07-05T04:18:21Z"},{"alias_kind":"arxiv_version","alias_value":"2204.12640v1","created_at":"2026-07-05T04:18:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2204.12640","created_at":"2026-07-05T04:18:21Z"},{"alias_kind":"pith_short_12","alias_value":"STU3QJASNHSJ","created_at":"2026-07-05T04:18:21Z"},{"alias_kind":"pith_short_16","alias_value":"STU3QJASNHSJ5MYR","created_at":"2026-07-05T04:18:21Z"},{"alias_kind":"pith_short_8","alias_value":"STU3QJAS","created_at":"2026-07-05T04:18:21Z"}],"graph_snapshots":[{"event_id":"sha256:2b1435be7dcc6fd1b11521a9cdc9a4064910f3fb212bea3453b779459e04abfc","target":"graph","created_at":"2026-07-05T04:18:21Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2204.12640/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this note, we revisit the recent work of Diakonikolas, Gouleakis, Kane, Peebles, and Price (2021), and provide an alternative proof of their main result. Our argument does not rely on any specific property of Poisson random variables (such as stability and divisibility) nor on any \"clever trick,\" but instead on an identity relating the expectation of the absolute value of any random variable to the integral of its characteristic function:\n  \\[\n  \\mathbb{E}[|X|] = \\frac{2}{\\pi}\\int_0^\\infty \\frac{1-\\Re(\\mathbb{E}[e^{i tX}])}{t^2}\\, dt\n  \\]\n  Our argument, while not devoid of technical aspect","authors_text":"Cl\\'ement L. Canonne, Yucheng Sun","cross_cats":["cs.DM","math.PR","math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2022-04-27T00:18:17Z","title":"Optimal Closeness Testing of Discrete Distributions Made (Complex) Simple"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2204.12640","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:a51ab21a949c8e796b68da6fc346dc0ac234787c6b756183c2302978f7e7be5a","target":"record","created_at":"2026-07-05T04:18:21Z","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":"6c9d4723ec19e0eb2a1f6f078363f1cf1ee9c85d7a6fabed1f027e697ee7db5c","cross_cats_sorted":["cs.DM","math.PR","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2022-04-27T00:18:17Z","title_canon_sha256":"e79786f278e37f9911eeee95873467fefd7967078bef6a81fc57a96113eb0809"},"schema_version":"1.0","source":{"id":"2204.12640","kind":"arxiv","version":1}},"canonical_sha256":"94e9b8241269e49eb311fd91eb9ff503190231778a02f0e75b77eb84226c8795","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94e9b8241269e49eb311fd91eb9ff503190231778a02f0e75b77eb84226c8795","first_computed_at":"2026-07-05T04:18:21.044712Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:18:21.044712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sdjoxZjFnflioC4FUfkukMaQTibCE0pDTyuHbmgm0GZRErWoKHVhQJNp4xZp/0tItTYn/2f0ecvX+NT4uYAwBg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:18:21.045109Z","signed_message":"canonical_sha256_bytes"},"source_id":"2204.12640","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a51ab21a949c8e796b68da6fc346dc0ac234787c6b756183c2302978f7e7be5a","sha256:2b1435be7dcc6fd1b11521a9cdc9a4064910f3fb212bea3453b779459e04abfc"],"state_sha256":"7cc1f963366eb57bc648490e02edb6150f213425cf79adfd7cc91bd408624021"}