{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MBT3VBCSHHSD5E3G5ZIHU3FV5N","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":"e9874dff2e259ceafebaf52147558ba7649315a7afe6a4749854058b218fce66","cross_cats_sorted":["cs.LG","math.PR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2026-06-16T02:19:01Z","title_canon_sha256":"4ef21a937a7e67f94ca1a1394b5bf55976df20a58d45b92cab1866fb56ada001"},"schema_version":"1.0","source":{"id":"2606.17426","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.17426","created_at":"2026-06-19T16:10:12Z"},{"alias_kind":"arxiv_version","alias_value":"2606.17426v1","created_at":"2026-06-19T16:10:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.17426","created_at":"2026-06-19T16:10:12Z"},{"alias_kind":"pith_short_12","alias_value":"MBT3VBCSHHSD","created_at":"2026-06-19T16:10:12Z"},{"alias_kind":"pith_short_16","alias_value":"MBT3VBCSHHSD5E3G","created_at":"2026-06-19T16:10:12Z"},{"alias_kind":"pith_short_8","alias_value":"MBT3VBCS","created_at":"2026-06-19T16:10:12Z"}],"graph_snapshots":[{"event_id":"sha256:906d9c5a8423f5056ba108a455f17422323f8040145e747080a186c011816883","target":"graph","created_at":"2026-06-19T16:10:12Z","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/2606.17426/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the concentration properties of functions of infinitely exchangeable random variables. By conditioning on the de Finetti directing measure, we show that the deviation of any function with bounded-difference constants $c_1, \\dots, c_n$ decomposes into a conditional sampling fluctuation and a latent mixture fluctuation. When this latent mixture is $\\sigma_{\\mathrm{mix}}^2$-subgaussian, we establish a concentration inequality with an effective variance proxy of $\\frac{1}{4}\\sum_i c_i^2 + \\sigma_{\\mathrm{mix}}^2$. Crucially, we demonstrate that for zero-sum linear contrasts, such as th","authors_text":"Fangyuan Lin, Spencer Frei, Victor H. de la Pena","cross_cats":["cs.LG","math.PR"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2026-06-16T02:19:01Z","title":"Bounded Difference Concentration for Infinitely Exchangeable Sequences with Applications to AI Benchmark Uncertainty"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.17426","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:acf312e7add23fbfee660b28d0d432742aa587ff7cdf81964b4c6d4f52bff680","target":"record","created_at":"2026-06-19T16:10:12Z","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":"e9874dff2e259ceafebaf52147558ba7649315a7afe6a4749854058b218fce66","cross_cats_sorted":["cs.LG","math.PR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2026-06-16T02:19:01Z","title_canon_sha256":"4ef21a937a7e67f94ca1a1394b5bf55976df20a58d45b92cab1866fb56ada001"},"schema_version":"1.0","source":{"id":"2606.17426","kind":"arxiv","version":1}},"canonical_sha256":"6067ba845239e43e9366ee507a6cb5eb70051482fe9a632c37206b3688e387ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6067ba845239e43e9366ee507a6cb5eb70051482fe9a632c37206b3688e387ae","first_computed_at":"2026-06-19T16:10:12.513546Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:10:12.513546Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NvO241Lv/9C9VYrvGaMxeyIbQKByJlyzYtMrNPIwJiTqXxMqJpv+juL75w2xVVwkCr1sMZlpAF7GFG5I6d5lBA==","signature_status":"signed_v1","signed_at":"2026-06-19T16:10:12.513899Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.17426","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:acf312e7add23fbfee660b28d0d432742aa587ff7cdf81964b4c6d4f52bff680","sha256:906d9c5a8423f5056ba108a455f17422323f8040145e747080a186c011816883"],"state_sha256":"3b45e05a4521fc6cfb7d5a502f8ff1177e4a4315e8e3a23915444eaa9e2d7c75"}