{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:M3VQQ7LIYR4O6466YIMMQJUUK4","short_pith_number":"pith:M3VQQ7LI","canonical_record":{"source":{"id":"1511.09354","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-11-30T15:43:34Z","cross_cats_sorted":[],"title_canon_sha256":"8f592e27871bffa64d4a119185b37de72f5fd13a25de6c0c69ee856a86ff0357","abstract_canon_sha256":"7c2553539c69b4dae5f6750097171bb2d3524a7d9fe2c7c254a9b6ec7df1e83f"},"schema_version":"1.0"},"canonical_sha256":"66eb087d68c478ef73dec218c826945726e12359a269af74345e92353b20091e","source":{"kind":"arxiv","id":"1511.09354","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.09354","created_at":"2026-05-18T01:06:21Z"},{"alias_kind":"arxiv_version","alias_value":"1511.09354v2","created_at":"2026-05-18T01:06:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.09354","created_at":"2026-05-18T01:06:21Z"},{"alias_kind":"pith_short_12","alias_value":"M3VQQ7LIYR4O","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"M3VQQ7LIYR4O6466","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"M3VQQ7LI","created_at":"2026-05-18T12:29:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:M3VQQ7LIYR4O6466YIMMQJUUK4","target":"record","payload":{"canonical_record":{"source":{"id":"1511.09354","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-11-30T15:43:34Z","cross_cats_sorted":[],"title_canon_sha256":"8f592e27871bffa64d4a119185b37de72f5fd13a25de6c0c69ee856a86ff0357","abstract_canon_sha256":"7c2553539c69b4dae5f6750097171bb2d3524a7d9fe2c7c254a9b6ec7df1e83f"},"schema_version":"1.0"},"canonical_sha256":"66eb087d68c478ef73dec218c826945726e12359a269af74345e92353b20091e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:21.077403Z","signature_b64":"BUE2CMEfAereH2M1m4kSF2ktSDHJ/5jzgMoruTdQYlLYhRD7olVwV4NycuU2hcCc6yj48Gu1BKKTzLW1IHVnCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66eb087d68c478ef73dec218c826945726e12359a269af74345e92353b20091e","last_reissued_at":"2026-05-18T01:06:21.076872Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:21.076872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.09354","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:06:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rzpRXT7ge/5oQ6IQB32bb02VYhAZb3rUK++O4jUvZHpxtSFN+RoSDSuyWm0eNebSEHXAya4bOFIy7rNpznXKBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T18:25:58.117745Z"},"content_sha256":"b0f9b5dfd83185580685961997271372a6ac61a7e219ae9207ac69be261971ee","schema_version":"1.0","event_id":"sha256:b0f9b5dfd83185580685961997271372a6ac61a7e219ae9207ac69be261971ee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:M3VQQ7LIYR4O6466YIMMQJUUK4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"High-dimensional Multivariate Mediation: with Application to Neuroimaging Data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Brian S. Caffo, Ciprian M. Crainiceanu, Elizabeth L. Ogburn, Martin A. Lindquist, Oliver Y. Ch\\'en, Tor D. Wager","submitted_at":"2015-11-30T15:43:34Z","abstract_excerpt":"Mediation analysis has become an important tool in the behavioral sciences for investigating the role of intermediate variables that lie in the path between a randomized treatment and an outcome variable. The influence of the intermediate variable on the outcome is often explored using structural equation models (SEMs), with model coefficients interpreted as possible effects. While there has been significant research on the topic in recent years, little work has been done on mediation analysis when the intermediate variable (mediator) is a high-dimensional vector. In this work we present a new"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.09354","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:06:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZHocq6z9/1OYQW4U6j98NkDblqyCcRdkF8BiDq5kGlTw32SFaBhxWgqpFbP9W911PMK4Qbjza6MZC2PBAq7MBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T18:25:58.118092Z"},"content_sha256":"7a5cbee3cc2038269460cd80efb7e43b3c45edf0f443bd3ecc841414ed53df8c","schema_version":"1.0","event_id":"sha256:7a5cbee3cc2038269460cd80efb7e43b3c45edf0f443bd3ecc841414ed53df8c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M3VQQ7LIYR4O6466YIMMQJUUK4/bundle.json","state_url":"https://pith.science/pith/M3VQQ7LIYR4O6466YIMMQJUUK4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M3VQQ7LIYR4O6466YIMMQJUUK4/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":"2026-06-04T18:25:58Z","links":{"resolver":"https://pith.science/pith/M3VQQ7LIYR4O6466YIMMQJUUK4","bundle":"https://pith.science/pith/M3VQQ7LIYR4O6466YIMMQJUUK4/bundle.json","state":"https://pith.science/pith/M3VQQ7LIYR4O6466YIMMQJUUK4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M3VQQ7LIYR4O6466YIMMQJUUK4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:M3VQQ7LIYR4O6466YIMMQJUUK4","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":"7c2553539c69b4dae5f6750097171bb2d3524a7d9fe2c7c254a9b6ec7df1e83f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-11-30T15:43:34Z","title_canon_sha256":"8f592e27871bffa64d4a119185b37de72f5fd13a25de6c0c69ee856a86ff0357"},"schema_version":"1.0","source":{"id":"1511.09354","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.09354","created_at":"2026-05-18T01:06:21Z"},{"alias_kind":"arxiv_version","alias_value":"1511.09354v2","created_at":"2026-05-18T01:06:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.09354","created_at":"2026-05-18T01:06:21Z"},{"alias_kind":"pith_short_12","alias_value":"M3VQQ7LIYR4O","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"M3VQQ7LIYR4O6466","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"M3VQQ7LI","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:7a5cbee3cc2038269460cd80efb7e43b3c45edf0f443bd3ecc841414ed53df8c","target":"graph","created_at":"2026-05-18T01:06:21Z","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"},"paper":{"abstract_excerpt":"Mediation analysis has become an important tool in the behavioral sciences for investigating the role of intermediate variables that lie in the path between a randomized treatment and an outcome variable. The influence of the intermediate variable on the outcome is often explored using structural equation models (SEMs), with model coefficients interpreted as possible effects. While there has been significant research on the topic in recent years, little work has been done on mediation analysis when the intermediate variable (mediator) is a high-dimensional vector. In this work we present a new","authors_text":"Brian S. Caffo, Ciprian M. Crainiceanu, Elizabeth L. Ogburn, Martin A. Lindquist, Oliver Y. Ch\\'en, Tor D. Wager","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-11-30T15:43:34Z","title":"High-dimensional Multivariate Mediation: with Application to Neuroimaging Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.09354","kind":"arxiv","version":2},"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:b0f9b5dfd83185580685961997271372a6ac61a7e219ae9207ac69be261971ee","target":"record","created_at":"2026-05-18T01:06:21Z","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":"7c2553539c69b4dae5f6750097171bb2d3524a7d9fe2c7c254a9b6ec7df1e83f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-11-30T15:43:34Z","title_canon_sha256":"8f592e27871bffa64d4a119185b37de72f5fd13a25de6c0c69ee856a86ff0357"},"schema_version":"1.0","source":{"id":"1511.09354","kind":"arxiv","version":2}},"canonical_sha256":"66eb087d68c478ef73dec218c826945726e12359a269af74345e92353b20091e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66eb087d68c478ef73dec218c826945726e12359a269af74345e92353b20091e","first_computed_at":"2026-05-18T01:06:21.076872Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:21.076872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BUE2CMEfAereH2M1m4kSF2ktSDHJ/5jzgMoruTdQYlLYhRD7olVwV4NycuU2hcCc6yj48Gu1BKKTzLW1IHVnCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:21.077403Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.09354","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0f9b5dfd83185580685961997271372a6ac61a7e219ae9207ac69be261971ee","sha256:7a5cbee3cc2038269460cd80efb7e43b3c45edf0f443bd3ecc841414ed53df8c"],"state_sha256":"5a704efcbad407a272d99ccd1a77210729899e4fb40ddf7a9fc5faa8cd4bdd75"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ArEHmcM/nMXurbCTLLZ/1I+vHVMz9bLO1n+t2hlE8h6k7/r5P25vRo9KDxt0dTL9sd00iWu05hYx86gCXBdOCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T18:25:58.120027Z","bundle_sha256":"d5809e9d0a357c51b7d5e05481bea852f4e29eb77f7dfcef113da8789c44672b"}}