{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:VEEFJVL46YPAVIEFWJUOW5J574","short_pith_number":"pith:VEEFJVL4","canonical_record":{"source":{"id":"2105.10821","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2021-05-22T22:36:05Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"3f2ebdfec12188f21cf08d986c897f13ce1890d41e1bf0c97a033b21f9f1d3ca","abstract_canon_sha256":"2051f90ea1bcc5c5125d40047d07ea3982b02b756fa885c8184771c53b6d8ca0"},"schema_version":"1.0"},"canonical_sha256":"a90854d57cf61e0aa085b268eb753dff14c3e9c9d9c298c0a5d42d1f41cd1309","source":{"kind":"arxiv","id":"2105.10821","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.10821","created_at":"2026-07-05T04:19:02Z"},{"alias_kind":"arxiv_version","alias_value":"2105.10821v4","created_at":"2026-07-05T04:19:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.10821","created_at":"2026-07-05T04:19:02Z"},{"alias_kind":"pith_short_12","alias_value":"VEEFJVL46YPA","created_at":"2026-07-05T04:19:02Z"},{"alias_kind":"pith_short_16","alias_value":"VEEFJVL46YPAVIEF","created_at":"2026-07-05T04:19:02Z"},{"alias_kind":"pith_short_8","alias_value":"VEEFJVL4","created_at":"2026-07-05T04:19:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:VEEFJVL46YPAVIEFWJUOW5J574","target":"record","payload":{"canonical_record":{"source":{"id":"2105.10821","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2021-05-22T22:36:05Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"3f2ebdfec12188f21cf08d986c897f13ce1890d41e1bf0c97a033b21f9f1d3ca","abstract_canon_sha256":"2051f90ea1bcc5c5125d40047d07ea3982b02b756fa885c8184771c53b6d8ca0"},"schema_version":"1.0"},"canonical_sha256":"a90854d57cf61e0aa085b268eb753dff14c3e9c9d9c298c0a5d42d1f41cd1309","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:19:02.212080Z","signature_b64":"U04nQEisuDU7Sw27xIFjun4II0gEujZDAvkGGkvnOWWhZ4eUMVM9msusig559qUttj0XBjOVMk2kf5QH7LoIDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a90854d57cf61e0aa085b268eb753dff14c3e9c9d9c298c0a5d42d1f41cd1309","last_reissued_at":"2026-07-05T04:19:02.211578Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:19:02.211578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2105.10821","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":"2026-07-05T04:19:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vAPcqBiRXdIbOEtgfI1eW9DSjSiBqUDK5zcdRN24tIG+sR+KvGYE6d6QRlEKtkYfYRv05Xqk3uFNlEbvsZrECQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T02:25:21.339230Z"},"content_sha256":"e4e8cc7cfb0eedf74e853daed9efccaf218373dfc9d1939fe6f05dd5aad7a051","schema_version":"1.0","event_id":"sha256:e4e8cc7cfb0eedf74e853daed9efccaf218373dfc9d1939fe6f05dd5aad7a051"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:VEEFJVL46YPAVIEFWJUOW5J574","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Statistical Testing under Distributional Shifts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ME","authors_text":"Jonas Peters, Niklas Pfister, Nikolaj Thams, Sorawit Saengkyongam","submitted_at":"2021-05-22T22:36:05Z","abstract_excerpt":"In this work, we introduce statistical testing under distributional shifts. We are interested in the hypothesis $P^* \\in H_0$ for a target distribution $P^*$, but observe data from a different distribution $Q^*$. We assume that $P^*$ is related to $Q^*$ through a known shift $\\tau$ and formally introduce hypothesis testing in this setting. We propose a general testing procedure that first resamples from the observed data to construct an auxiliary data set and then applies an existing test in the target domain. We prove that if the size of the resample is at most $o(\\sqrt{n})$ and the resamplin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.10821","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2105.10821/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":"2026-07-05T04:19:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XOLfnkdxVzqlWdUsSWoqCPaX/a6Hz1qtzgw50Rbxno7KjRWQGOgi4/alVsvNY+7CbGm+6UuMsgI/DY0zUYPsDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T02:25:21.340040Z"},"content_sha256":"173ebb9587ccd3002d5ed05a57a869669a527db40ebba413183cbd4de3e8a3a8","schema_version":"1.0","event_id":"sha256:173ebb9587ccd3002d5ed05a57a869669a527db40ebba413183cbd4de3e8a3a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VEEFJVL46YPAVIEFWJUOW5J574/bundle.json","state_url":"https://pith.science/pith/VEEFJVL46YPAVIEFWJUOW5J574/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VEEFJVL46YPAVIEFWJUOW5J574/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":"2026-08-04T02:25:21Z","links":{"resolver":"https://pith.science/pith/VEEFJVL46YPAVIEFWJUOW5J574","bundle":"https://pith.science/pith/VEEFJVL46YPAVIEFWJUOW5J574/bundle.json","state":"https://pith.science/pith/VEEFJVL46YPAVIEFWJUOW5J574/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VEEFJVL46YPAVIEFWJUOW5J574/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:VEEFJVL46YPAVIEFWJUOW5J574","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":"2051f90ea1bcc5c5125d40047d07ea3982b02b756fa885c8184771c53b6d8ca0","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2021-05-22T22:36:05Z","title_canon_sha256":"3f2ebdfec12188f21cf08d986c897f13ce1890d41e1bf0c97a033b21f9f1d3ca"},"schema_version":"1.0","source":{"id":"2105.10821","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.10821","created_at":"2026-07-05T04:19:02Z"},{"alias_kind":"arxiv_version","alias_value":"2105.10821v4","created_at":"2026-07-05T04:19:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.10821","created_at":"2026-07-05T04:19:02Z"},{"alias_kind":"pith_short_12","alias_value":"VEEFJVL46YPA","created_at":"2026-07-05T04:19:02Z"},{"alias_kind":"pith_short_16","alias_value":"VEEFJVL46YPAVIEF","created_at":"2026-07-05T04:19:02Z"},{"alias_kind":"pith_short_8","alias_value":"VEEFJVL4","created_at":"2026-07-05T04:19:02Z"}],"graph_snapshots":[{"event_id":"sha256:173ebb9587ccd3002d5ed05a57a869669a527db40ebba413183cbd4de3e8a3a8","target":"graph","created_at":"2026-07-05T04:19:02Z","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/2105.10821/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we introduce statistical testing under distributional shifts. We are interested in the hypothesis $P^* \\in H_0$ for a target distribution $P^*$, but observe data from a different distribution $Q^*$. We assume that $P^*$ is related to $Q^*$ through a known shift $\\tau$ and formally introduce hypothesis testing in this setting. We propose a general testing procedure that first resamples from the observed data to construct an auxiliary data set and then applies an existing test in the target domain. We prove that if the size of the resample is at most $o(\\sqrt{n})$ and the resamplin","authors_text":"Jonas Peters, Niklas Pfister, Nikolaj Thams, Sorawit Saengkyongam","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2021-05-22T22:36:05Z","title":"Statistical Testing under Distributional Shifts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.10821","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:e4e8cc7cfb0eedf74e853daed9efccaf218373dfc9d1939fe6f05dd5aad7a051","target":"record","created_at":"2026-07-05T04:19:02Z","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":"2051f90ea1bcc5c5125d40047d07ea3982b02b756fa885c8184771c53b6d8ca0","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2021-05-22T22:36:05Z","title_canon_sha256":"3f2ebdfec12188f21cf08d986c897f13ce1890d41e1bf0c97a033b21f9f1d3ca"},"schema_version":"1.0","source":{"id":"2105.10821","kind":"arxiv","version":4}},"canonical_sha256":"a90854d57cf61e0aa085b268eb753dff14c3e9c9d9c298c0a5d42d1f41cd1309","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a90854d57cf61e0aa085b268eb753dff14c3e9c9d9c298c0a5d42d1f41cd1309","first_computed_at":"2026-07-05T04:19:02.211578Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:19:02.211578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U04nQEisuDU7Sw27xIFjun4II0gEujZDAvkGGkvnOWWhZ4eUMVM9msusig559qUttj0XBjOVMk2kf5QH7LoIDg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:19:02.212080Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.10821","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4e8cc7cfb0eedf74e853daed9efccaf218373dfc9d1939fe6f05dd5aad7a051","sha256:173ebb9587ccd3002d5ed05a57a869669a527db40ebba413183cbd4de3e8a3a8"],"state_sha256":"6e2224e5ccf23a4c9cec528811cfadcdae5318b0b8410c9027cb0373db2c2186"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VIDxBqjyXVXqKY8sHYfZWa06r6vJrWTCiI12tvg/GntUkTmdz4Pmfspr80S2h7oKjsmKYkauFlKkNE7aUnfyAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T02:25:21.345230Z","bundle_sha256":"fa9b660991cfb07440c5285fec9600ae2bf1fbfd13ab481ad3c4c7b850e28379"}}