{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ODIEGRT32OCZVZQEYR6CMMQ3AI","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":"da3fb09f65958f21d61edd2365b41becae348b42fd960064d757f547fe9d2bd0","cross_cats_sorted":["cs.LG","math.ST","stat.ML","stat.TH"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2026-07-17T10:32:05Z","title_canon_sha256":"2f03fa493b2d081b1939ff0ed586269342a992a7c19994545f859b9a20aa020d"},"schema_version":"1.0","source":{"id":"2607.15823","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.15823","created_at":"2026-07-20T01:19:12Z"},{"alias_kind":"arxiv_version","alias_value":"2607.15823v1","created_at":"2026-07-20T01:19:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.15823","created_at":"2026-07-20T01:19:12Z"},{"alias_kind":"pith_short_12","alias_value":"ODIEGRT32OCZ","created_at":"2026-07-20T01:19:12Z"},{"alias_kind":"pith_short_16","alias_value":"ODIEGRT32OCZVZQE","created_at":"2026-07-20T01:19:12Z"},{"alias_kind":"pith_short_8","alias_value":"ODIEGRT3","created_at":"2026-07-20T01:19:12Z"}],"graph_snapshots":[{"event_id":"sha256:46e8bd74595e188328812ac16d5a6f4b73ab4c52015cf0769fd563e571144bde","target":"graph","created_at":"2026-07-20T01:19:12Z","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/2607.15823/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study aggregation of statistical evidence under unknown and potentially complex dependence using group-invariance. Building on permutation-based constructions that treat transformed datasets as exchangeable units, we aggregate evidence across statistics for each transformed dataset and calibrate the resulting aggregates across transformations. We develop a finite-sample power and adaptivity theory for this framework, together with extensions to sequential and data-dependent aggregation that preserve validity. For single-batch aggregation, which uses one collection of transformed datasets fo","authors_text":"Antonin Schrab, Arthur Gretton, Ilmun Kim, Rajen Shah","cross_cats":["cs.LG","math.ST","stat.ML","stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2026-07-17T10:32:05Z","title":"Aggregation of Statistical Evidence under Exchangeability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.15823","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":"sha256:4ed3f63f38d9a0e1cb9f040b63e7c5bfa978ac34e0474a076db03e9557fcc575","target":"record","created_at":"2026-07-20T01:19:12Z","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":"da3fb09f65958f21d61edd2365b41becae348b42fd960064d757f547fe9d2bd0","cross_cats_sorted":["cs.LG","math.ST","stat.ML","stat.TH"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2026-07-17T10:32:05Z","title_canon_sha256":"2f03fa493b2d081b1939ff0ed586269342a992a7c19994545f859b9a20aa020d"},"schema_version":"1.0","source":{"id":"2607.15823","kind":"arxiv","version":1}},"canonical_sha256":"70d043467bd3859ae604c47c26321b021434d14bc402ae56bb53cda4f23de2c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"70d043467bd3859ae604c47c26321b021434d14bc402ae56bb53cda4f23de2c7","first_computed_at":"2026-07-20T01:19:12.150288Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-20T01:19:12.150288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M6tu4unkhEhWrNvcFjHBNqqQzLp98gE7AJbZqHjyRYonc80WH7vt0Man8M8aCdDdJTfPPf2V5fPNbBQEDAGaDg==","signature_status":"signed_v1","signed_at":"2026-07-20T01:19:12.151146Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.15823","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ed3f63f38d9a0e1cb9f040b63e7c5bfa978ac34e0474a076db03e9557fcc575","sha256:46e8bd74595e188328812ac16d5a6f4b73ab4c52015cf0769fd563e571144bde"],"state_sha256":"5f197b55330935b5ff663ef372b19dde7ef12810e7bf4247263039a408c2a184"}