{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:KOHV7A5G7ARZUS4RJ5GLHK2KFO","short_pith_number":"pith:KOHV7A5G","canonical_record":{"source":{"id":"2606.07466","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-05T17:18:13Z","cross_cats_sorted":[],"title_canon_sha256":"281b3552756d9bf868bc58efce590db72213518b07a3d15fe320dfea0baf1eca","abstract_canon_sha256":"86577d323a61627b2a1d21d26ab4dee2fe1326cb3f99bda60ff0e1320c180b16"},"schema_version":"1.0"},"canonical_sha256":"538f5f83a6f8239a4b914f4cb3ab4a2bb4adf115afc37e2edf6edc6af3737b91","source":{"kind":"arxiv","id":"2606.07466","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.07466","created_at":"2026-06-08T01:05:28Z"},{"alias_kind":"arxiv_version","alias_value":"2606.07466v1","created_at":"2026-06-08T01:05:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.07466","created_at":"2026-06-08T01:05:28Z"},{"alias_kind":"pith_short_12","alias_value":"KOHV7A5G7ARZ","created_at":"2026-06-08T01:05:28Z"},{"alias_kind":"pith_short_16","alias_value":"KOHV7A5G7ARZUS4R","created_at":"2026-06-08T01:05:28Z"},{"alias_kind":"pith_short_8","alias_value":"KOHV7A5G","created_at":"2026-06-08T01:05:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:KOHV7A5G7ARZUS4RJ5GLHK2KFO","target":"record","payload":{"canonical_record":{"source":{"id":"2606.07466","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-05T17:18:13Z","cross_cats_sorted":[],"title_canon_sha256":"281b3552756d9bf868bc58efce590db72213518b07a3d15fe320dfea0baf1eca","abstract_canon_sha256":"86577d323a61627b2a1d21d26ab4dee2fe1326cb3f99bda60ff0e1320c180b16"},"schema_version":"1.0"},"canonical_sha256":"538f5f83a6f8239a4b914f4cb3ab4a2bb4adf115afc37e2edf6edc6af3737b91","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-08T01:05:28.811935Z","signature_b64":"Dgdt4G4JR27uhJhsbl0EDeX8RNbkklKHw6eSLova9GJXxPvojL4Y5/iaAvwSsu7FIpfCcSD0EfI0NFex5YXVCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"538f5f83a6f8239a4b914f4cb3ab4a2bb4adf115afc37e2edf6edc6af3737b91","last_reissued_at":"2026-06-08T01:05:28.810902Z","signature_status":"signed_v1","first_computed_at":"2026-06-08T01:05:28.810902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.07466","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":"2026-06-08T01:05:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IZSNGC51uZBZuULHkcH8/lbYv6R+QxsI1CDFU/8UPVbe2KBfFz26LPUxjSDywvo92DWfwAuYbuw/P3AQCylyAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T16:38:47.248898Z"},"content_sha256":"ca5e8780609bfe4f0a2f32ea27c7bf73944e6472db5f8b9df4c2f15c5ccfdb0b","schema_version":"1.0","event_id":"sha256:ca5e8780609bfe4f0a2f32ea27c7bf73944e6472db5f8b9df4c2f15c5ccfdb0b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:KOHV7A5G7ARZUS4RJ5GLHK2KFO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Covariance-Adaptive Residualization and Stagewise Calibration for Dependent Multiple Testing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Arijit Chakrabarti, Prasenjit Ghosh","submitted_at":"2026-06-05T17:18:13Z","abstract_excerpt":"In this paper, we study simultaneous hypothesis testing for multivariate Gaussian means under arbitrary covariance dependence. Building on the Maximum Residual Down (MRD) procedure of Cohen et al. (2009), we investigate a new calibration strategy based on the generalized step-down critical constants of Gavrilov et al. (2009). The resulting procedure retains the covariance-adaptive residualization mechanism of MRD while replacing the original model-dependent threshold specification with a simple stagewise calibration rule. Since the proposed procedure belongs to the class of monotone residual-b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.07466","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/2606.07466/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":"2026-06-08T01:05:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cMKWsDEdyNaLE4X6dvTvvQyQn5i3wpoTpsn+NJwd73OeLNx9Bl7md+QQ5mc+iufsh5BatFLtXff4ST2chhXtAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T16:38:47.249457Z"},"content_sha256":"94f0bb20b34e4d0b6851136d37067b6c3aded44ffa62c5e6bbe2f486e12e6190","schema_version":"1.0","event_id":"sha256:94f0bb20b34e4d0b6851136d37067b6c3aded44ffa62c5e6bbe2f486e12e6190"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KOHV7A5G7ARZUS4RJ5GLHK2KFO/bundle.json","state_url":"https://pith.science/pith/KOHV7A5G7ARZUS4RJ5GLHK2KFO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KOHV7A5G7ARZUS4RJ5GLHK2KFO/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":"2026-08-05T16:38:47Z","links":{"resolver":"https://pith.science/pith/KOHV7A5G7ARZUS4RJ5GLHK2KFO","bundle":"https://pith.science/pith/KOHV7A5G7ARZUS4RJ5GLHK2KFO/bundle.json","state":"https://pith.science/pith/KOHV7A5G7ARZUS4RJ5GLHK2KFO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KOHV7A5G7ARZUS4RJ5GLHK2KFO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:KOHV7A5G7ARZUS4RJ5GLHK2KFO","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":"86577d323a61627b2a1d21d26ab4dee2fe1326cb3f99bda60ff0e1320c180b16","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-05T17:18:13Z","title_canon_sha256":"281b3552756d9bf868bc58efce590db72213518b07a3d15fe320dfea0baf1eca"},"schema_version":"1.0","source":{"id":"2606.07466","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.07466","created_at":"2026-06-08T01:05:28Z"},{"alias_kind":"arxiv_version","alias_value":"2606.07466v1","created_at":"2026-06-08T01:05:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.07466","created_at":"2026-06-08T01:05:28Z"},{"alias_kind":"pith_short_12","alias_value":"KOHV7A5G7ARZ","created_at":"2026-06-08T01:05:28Z"},{"alias_kind":"pith_short_16","alias_value":"KOHV7A5G7ARZUS4R","created_at":"2026-06-08T01:05:28Z"},{"alias_kind":"pith_short_8","alias_value":"KOHV7A5G","created_at":"2026-06-08T01:05:28Z"}],"graph_snapshots":[{"event_id":"sha256:94f0bb20b34e4d0b6851136d37067b6c3aded44ffa62c5e6bbe2f486e12e6190","target":"graph","created_at":"2026-06-08T01:05:28Z","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/2606.07466/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study simultaneous hypothesis testing for multivariate Gaussian means under arbitrary covariance dependence. Building on the Maximum Residual Down (MRD) procedure of Cohen et al. (2009), we investigate a new calibration strategy based on the generalized step-down critical constants of Gavrilov et al. (2009). The resulting procedure retains the covariance-adaptive residualization mechanism of MRD while replacing the original model-dependent threshold specification with a simple stagewise calibration rule. Since the proposed procedure belongs to the class of monotone residual-b","authors_text":"Arijit Chakrabarti, Prasenjit Ghosh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-05T17:18:13Z","title":"Covariance-Adaptive Residualization and Stagewise Calibration for Dependent Multiple Testing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.07466","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:ca5e8780609bfe4f0a2f32ea27c7bf73944e6472db5f8b9df4c2f15c5ccfdb0b","target":"record","created_at":"2026-06-08T01:05:28Z","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":"86577d323a61627b2a1d21d26ab4dee2fe1326cb3f99bda60ff0e1320c180b16","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-05T17:18:13Z","title_canon_sha256":"281b3552756d9bf868bc58efce590db72213518b07a3d15fe320dfea0baf1eca"},"schema_version":"1.0","source":{"id":"2606.07466","kind":"arxiv","version":1}},"canonical_sha256":"538f5f83a6f8239a4b914f4cb3ab4a2bb4adf115afc37e2edf6edc6af3737b91","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"538f5f83a6f8239a4b914f4cb3ab4a2bb4adf115afc37e2edf6edc6af3737b91","first_computed_at":"2026-06-08T01:05:28.810902Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-08T01:05:28.810902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Dgdt4G4JR27uhJhsbl0EDeX8RNbkklKHw6eSLova9GJXxPvojL4Y5/iaAvwSsu7FIpfCcSD0EfI0NFex5YXVCw==","signature_status":"signed_v1","signed_at":"2026-06-08T01:05:28.811935Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.07466","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca5e8780609bfe4f0a2f32ea27c7bf73944e6472db5f8b9df4c2f15c5ccfdb0b","sha256:94f0bb20b34e4d0b6851136d37067b6c3aded44ffa62c5e6bbe2f486e12e6190"],"state_sha256":"3905b3a3411c5a61423daa9da838a1755b917b1f04ab90f71ccd7f50aa40472a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XgzwNuPB1bz2hYVdPiQ37nMIZoF7DtKcfInGU+b8o2+EJpRck5lf7IDvjZd3JhNQ/haXYTwc2q507EqLYpL2BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T16:38:47.252971Z","bundle_sha256":"0cd91824f03daa36d89f88c311bc9bcdb652e41037d02e3a89470a039fca2f6c"}}