{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:AKTU4Q4MO55HEDTDC4ELZNNOLT","short_pith_number":"pith:AKTU4Q4M","canonical_record":{"source":{"id":"2608.12949","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-08-13T08:22:02Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"fa3171852e23b0b2ceea274f5a57c2ab6637f47d2bb262b9bd5d7a39c90f712c","abstract_canon_sha256":"a39d381a29891cd71f6ee25a0f046ef64c51810c55241285fc1d100d2028018e"},"schema_version":"1.0"},"canonical_sha256":"02a74e438c777a720e631708bcb5ae5cf4fc538f518f2584b8dcc27ac18376e9","source":{"kind":"arxiv","id":"2608.12949","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.12949","created_at":"2026-08-14T00:59:32Z"},{"alias_kind":"arxiv_version","alias_value":"2608.12949v1","created_at":"2026-08-14T00:59:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.12949","created_at":"2026-08-14T00:59:32Z"},{"alias_kind":"pith_short_12","alias_value":"AKTU4Q4MO55H","created_at":"2026-08-14T00:59:32Z"},{"alias_kind":"pith_short_16","alias_value":"AKTU4Q4MO55HEDTD","created_at":"2026-08-14T00:59:32Z"},{"alias_kind":"pith_short_8","alias_value":"AKTU4Q4M","created_at":"2026-08-14T00:59:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:AKTU4Q4MO55HEDTDC4ELZNNOLT","target":"record","payload":{"canonical_record":{"source":{"id":"2608.12949","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-08-13T08:22:02Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"fa3171852e23b0b2ceea274f5a57c2ab6637f47d2bb262b9bd5d7a39c90f712c","abstract_canon_sha256":"a39d381a29891cd71f6ee25a0f046ef64c51810c55241285fc1d100d2028018e"},"schema_version":"1.0"},"canonical_sha256":"02a74e438c777a720e631708bcb5ae5cf4fc538f518f2584b8dcc27ac18376e9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-14T00:59:32.718154Z","signature_b64":"nm/vGJzm92xcA0aDpBelB7MZnDRzMIZagqBKqNiWugGJugQAMZLAfa/TmOqIYz8tF/t/qhUjhbKHupBXvvrbAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02a74e438c777a720e631708bcb5ae5cf4fc538f518f2584b8dcc27ac18376e9","last_reissued_at":"2026-08-14T00:59:32.709193Z","signature_status":"signed_v1","first_computed_at":"2026-08-14T00:59:32.709193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.12949","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-14T00:59:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c0phCkPVcW9+oUi1lKLdEloQVUn8iqKRysY91zuly5o6JjIi9RmTRXOB4aRaFHhWXk29uoksrEhOymeV0Om9DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T10:57:52.177899Z"},"content_sha256":"0fcb029cac61d707bdb93857fc877d6b7382c12e8be8e68d83bb5e1eb9e410e6","schema_version":"1.0","event_id":"sha256:0fcb029cac61d707bdb93857fc877d6b7382c12e8be8e68d83bb5e1eb9e410e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:AKTU4Q4MO55HEDTDC4ELZNNOLT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bayesian Inference Procedures for A/B Testing: An Overview","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ME","authors_text":"M{\\aa}rten Schultzberg, Mattias Fr{\\aa}nberg","submitted_at":"2026-08-13T08:22:02Z","abstract_excerpt":"Bayesian inference for A/B testing is a family of prior and stopping-rule configurations with fundamentally different statistical properties, but it is often discussed as a single method, and no systematic overview exists. This paper organizes common configurations into a three-tier hierarchy: 1) posterior coherence with no error control, 2) false positive rates bounded under continuous monitoring via Bayes factor stopping, and 3) false discovery rate control and calibrated shrinkage via empirical Bayes. Many commercial platforms operate at the lowest tier by default. We show that Bayes factor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.12949","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.12949/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-08-14T00:59:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"41DINM6fOzf/jurrFnDM63z5WPx9nvIj1/2G+nDLdT0fuLrlQypDVdzmhp91VXYxbNR5Ayj1UCbPNQatuczNBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T10:57:52.178405Z"},"content_sha256":"e5df625abccf4cc143ea47d7feea044212f3b64707227707c140dc1b22c972ce","schema_version":"1.0","event_id":"sha256:e5df625abccf4cc143ea47d7feea044212f3b64707227707c140dc1b22c972ce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AKTU4Q4MO55HEDTDC4ELZNNOLT/bundle.json","state_url":"https://pith.science/pith/AKTU4Q4MO55HEDTDC4ELZNNOLT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AKTU4Q4MO55HEDTDC4ELZNNOLT/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":"2026-08-16T10:57:52Z","links":{"resolver":"https://pith.science/pith/AKTU4Q4MO55HEDTDC4ELZNNOLT","bundle":"https://pith.science/pith/AKTU4Q4MO55HEDTDC4ELZNNOLT/bundle.json","state":"https://pith.science/pith/AKTU4Q4MO55HEDTDC4ELZNNOLT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AKTU4Q4MO55HEDTDC4ELZNNOLT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:AKTU4Q4MO55HEDTDC4ELZNNOLT","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":"a39d381a29891cd71f6ee25a0f046ef64c51810c55241285fc1d100d2028018e","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-08-13T08:22:02Z","title_canon_sha256":"fa3171852e23b0b2ceea274f5a57c2ab6637f47d2bb262b9bd5d7a39c90f712c"},"schema_version":"1.0","source":{"id":"2608.12949","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.12949","created_at":"2026-08-14T00:59:32Z"},{"alias_kind":"arxiv_version","alias_value":"2608.12949v1","created_at":"2026-08-14T00:59:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.12949","created_at":"2026-08-14T00:59:32Z"},{"alias_kind":"pith_short_12","alias_value":"AKTU4Q4MO55H","created_at":"2026-08-14T00:59:32Z"},{"alias_kind":"pith_short_16","alias_value":"AKTU4Q4MO55HEDTD","created_at":"2026-08-14T00:59:32Z"},{"alias_kind":"pith_short_8","alias_value":"AKTU4Q4M","created_at":"2026-08-14T00:59:32Z"}],"graph_snapshots":[{"event_id":"sha256:e5df625abccf4cc143ea47d7feea044212f3b64707227707c140dc1b22c972ce","target":"graph","created_at":"2026-08-14T00:59:32Z","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/2608.12949/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Bayesian inference for A/B testing is a family of prior and stopping-rule configurations with fundamentally different statistical properties, but it is often discussed as a single method, and no systematic overview exists. This paper organizes common configurations into a three-tier hierarchy: 1) posterior coherence with no error control, 2) false positive rates bounded under continuous monitoring via Bayes factor stopping, and 3) false discovery rate control and calibrated shrinkage via empirical Bayes. Many commercial platforms operate at the lowest tier by default. We show that Bayes factor","authors_text":"M{\\aa}rten Schultzberg, Mattias Fr{\\aa}nberg","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-08-13T08:22:02Z","title":"Bayesian Inference Procedures for A/B Testing: An Overview"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.12949","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":"sha256:0fcb029cac61d707bdb93857fc877d6b7382c12e8be8e68d83bb5e1eb9e410e6","target":"record","created_at":"2026-08-14T00:59:32Z","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":"a39d381a29891cd71f6ee25a0f046ef64c51810c55241285fc1d100d2028018e","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-08-13T08:22:02Z","title_canon_sha256":"fa3171852e23b0b2ceea274f5a57c2ab6637f47d2bb262b9bd5d7a39c90f712c"},"schema_version":"1.0","source":{"id":"2608.12949","kind":"arxiv","version":1}},"canonical_sha256":"02a74e438c777a720e631708bcb5ae5cf4fc538f518f2584b8dcc27ac18376e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02a74e438c777a720e631708bcb5ae5cf4fc538f518f2584b8dcc27ac18376e9","first_computed_at":"2026-08-14T00:59:32.709193Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-14T00:59:32.709193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nm/vGJzm92xcA0aDpBelB7MZnDRzMIZagqBKqNiWugGJugQAMZLAfa/TmOqIYz8tF/t/qhUjhbKHupBXvvrbAg==","signature_status":"signed_v1","signed_at":"2026-08-14T00:59:32.718154Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.12949","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0fcb029cac61d707bdb93857fc877d6b7382c12e8be8e68d83bb5e1eb9e410e6","sha256:e5df625abccf4cc143ea47d7feea044212f3b64707227707c140dc1b22c972ce"],"state_sha256":"243f283383ecf8c5c02093552dee0ee54d406dff91a4a0fb0d9fdef475554196"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mp9M43OaOvxgR/jHcCUpFXgoxmQbRs0bd0QoGnMCua9mFsFsCJs3ryxlT3V2t6KcR3beE0NcxENmYDuN+1YPBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T10:57:52.182633Z","bundle_sha256":"4a00208036a0a451e61a60cbbc23247ded62e68c9067ce4abf94ded08682c84e"}}