{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:UJLSX3NNKWG5Y3BNG3EJUTRRKV","short_pith_number":"pith:UJLSX3NN","canonical_record":{"source":{"id":"2406.17445","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ME","submitted_at":"2024-06-25T10:32:47Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"b85699e4ed1c47bd2d6fd0478a1f101a17c267b73fc551448dc1357be79025ac","abstract_canon_sha256":"2e1bcf7cc89cc327d21130db74bb1c8c6ffc0a6fc95d1b6e5fbcb3ede6cc0be0"},"schema_version":"1.0"},"canonical_sha256":"a2572bedad558ddc6c2d36c89a4e31554c0ec5a5d1ef1b5562ba1fd52f7b85b8","source":{"kind":"arxiv","id":"2406.17445","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.17445","created_at":"2026-07-05T08:36:35Z"},{"alias_kind":"arxiv_version","alias_value":"2406.17445v1","created_at":"2026-07-05T08:36:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.17445","created_at":"2026-07-05T08:36:35Z"},{"alias_kind":"pith_short_12","alias_value":"UJLSX3NNKWG5","created_at":"2026-07-05T08:36:35Z"},{"alias_kind":"pith_short_16","alias_value":"UJLSX3NNKWG5Y3BN","created_at":"2026-07-05T08:36:35Z"},{"alias_kind":"pith_short_8","alias_value":"UJLSX3NN","created_at":"2026-07-05T08:36:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:UJLSX3NNKWG5Y3BNG3EJUTRRKV","target":"record","payload":{"canonical_record":{"source":{"id":"2406.17445","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ME","submitted_at":"2024-06-25T10:32:47Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"b85699e4ed1c47bd2d6fd0478a1f101a17c267b73fc551448dc1357be79025ac","abstract_canon_sha256":"2e1bcf7cc89cc327d21130db74bb1c8c6ffc0a6fc95d1b6e5fbcb3ede6cc0be0"},"schema_version":"1.0"},"canonical_sha256":"a2572bedad558ddc6c2d36c89a4e31554c0ec5a5d1ef1b5562ba1fd52f7b85b8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:36:35.137286Z","signature_b64":"Sh+GDTNPfoqFKFYMXSL09OrAFx2qhDlBaytDhgJGRRtKuMrxNn0dihiVf+zts4D7qWffQ9zaXF3KUksiT6KpBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2572bedad558ddc6c2d36c89a4e31554c0ec5a5d1ef1b5562ba1fd52f7b85b8","last_reissued_at":"2026-07-05T08:36:35.136821Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:36:35.136821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.17445","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":"2026-07-05T08:36:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/gM5oErlGg0mGeezilwGcaynl5012CR39Uc91adrnKT5d0j8Thn8S6ZSdW4wzpsilZ9c/lAcnPzeF3eZ7I3RCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T10:19:32.379895Z"},"content_sha256":"29d555ee9ae4bcbaf2f13eddeaaecc4f715b61f2949296d0d5bffa28c1ca9b4c","schema_version":"1.0","event_id":"sha256:29d555ee9ae4bcbaf2f13eddeaaecc4f715b61f2949296d0d5bffa28c1ca9b4c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:UJLSX3NNKWG5Y3BNG3EJUTRRKV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Copula-Based Estimation of Causal Effects in Multiple Linear and Path Analysis Models","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ME","authors_text":"Alam Ali, Ashok Kumar Pathak, Ayyub Sheikhi, Mohd Arshad","submitted_at":"2024-06-25T10:32:47Z","abstract_excerpt":"Regression analysis is one of the most popularly used statistical technique which only measures the direct effect of independent variables on dependent variable. Path analysis looks for both direct and indirect effects of independent variables and may overcome several hurdles allied with regression models. It utilizes one or more structural regression equations in the model which are used to estimate the unknown parameters. The aim of this work is to study the path analysis models when the endogenous (dependent) variable and exogenous (independent) variables are linked through the elliptical c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.17445","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/2406.17445/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":"2026-07-05T08:36:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kU+2DZ99IfH98aAS+V15DNpWMW9eY10m84ZItlktqP4mfNFd6IiunhoaJVF1pXPsblSkQNyqfhur4LJEWouvDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T10:19:32.380274Z"},"content_sha256":"69862fbc6002b9df14e8eace06b302e7fa5e55bf43f47d6c43d97500273d43dd","schema_version":"1.0","event_id":"sha256:69862fbc6002b9df14e8eace06b302e7fa5e55bf43f47d6c43d97500273d43dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UJLSX3NNKWG5Y3BNG3EJUTRRKV/bundle.json","state_url":"https://pith.science/pith/UJLSX3NNKWG5Y3BNG3EJUTRRKV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UJLSX3NNKWG5Y3BNG3EJUTRRKV/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":"2026-08-22T10:19:32Z","links":{"resolver":"https://pith.science/pith/UJLSX3NNKWG5Y3BNG3EJUTRRKV","bundle":"https://pith.science/pith/UJLSX3NNKWG5Y3BNG3EJUTRRKV/bundle.json","state":"https://pith.science/pith/UJLSX3NNKWG5Y3BNG3EJUTRRKV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UJLSX3NNKWG5Y3BNG3EJUTRRKV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:UJLSX3NNKWG5Y3BNG3EJUTRRKV","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":"2e1bcf7cc89cc327d21130db74bb1c8c6ffc0a6fc95d1b6e5fbcb3ede6cc0be0","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ME","submitted_at":"2024-06-25T10:32:47Z","title_canon_sha256":"b85699e4ed1c47bd2d6fd0478a1f101a17c267b73fc551448dc1357be79025ac"},"schema_version":"1.0","source":{"id":"2406.17445","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.17445","created_at":"2026-07-05T08:36:35Z"},{"alias_kind":"arxiv_version","alias_value":"2406.17445v1","created_at":"2026-07-05T08:36:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.17445","created_at":"2026-07-05T08:36:35Z"},{"alias_kind":"pith_short_12","alias_value":"UJLSX3NNKWG5","created_at":"2026-07-05T08:36:35Z"},{"alias_kind":"pith_short_16","alias_value":"UJLSX3NNKWG5Y3BN","created_at":"2026-07-05T08:36:35Z"},{"alias_kind":"pith_short_8","alias_value":"UJLSX3NN","created_at":"2026-07-05T08:36:35Z"}],"graph_snapshots":[{"event_id":"sha256:69862fbc6002b9df14e8eace06b302e7fa5e55bf43f47d6c43d97500273d43dd","target":"graph","created_at":"2026-07-05T08:36:35Z","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/2406.17445/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Regression analysis is one of the most popularly used statistical technique which only measures the direct effect of independent variables on dependent variable. Path analysis looks for both direct and indirect effects of independent variables and may overcome several hurdles allied with regression models. It utilizes one or more structural regression equations in the model which are used to estimate the unknown parameters. The aim of this work is to study the path analysis models when the endogenous (dependent) variable and exogenous (independent) variables are linked through the elliptical c","authors_text":"Alam Ali, Ashok Kumar Pathak, Ayyub Sheikhi, Mohd Arshad","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ME","submitted_at":"2024-06-25T10:32:47Z","title":"Copula-Based Estimation of Causal Effects in Multiple Linear and Path Analysis Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.17445","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":"sha256:29d555ee9ae4bcbaf2f13eddeaaecc4f715b61f2949296d0d5bffa28c1ca9b4c","target":"record","created_at":"2026-07-05T08:36:35Z","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":"2e1bcf7cc89cc327d21130db74bb1c8c6ffc0a6fc95d1b6e5fbcb3ede6cc0be0","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ME","submitted_at":"2024-06-25T10:32:47Z","title_canon_sha256":"b85699e4ed1c47bd2d6fd0478a1f101a17c267b73fc551448dc1357be79025ac"},"schema_version":"1.0","source":{"id":"2406.17445","kind":"arxiv","version":1}},"canonical_sha256":"a2572bedad558ddc6c2d36c89a4e31554c0ec5a5d1ef1b5562ba1fd52f7b85b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2572bedad558ddc6c2d36c89a4e31554c0ec5a5d1ef1b5562ba1fd52f7b85b8","first_computed_at":"2026-07-05T08:36:35.136821Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:36:35.136821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Sh+GDTNPfoqFKFYMXSL09OrAFx2qhDlBaytDhgJGRRtKuMrxNn0dihiVf+zts4D7qWffQ9zaXF3KUksiT6KpBA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:36:35.137286Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.17445","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29d555ee9ae4bcbaf2f13eddeaaecc4f715b61f2949296d0d5bffa28c1ca9b4c","sha256:69862fbc6002b9df14e8eace06b302e7fa5e55bf43f47d6c43d97500273d43dd"],"state_sha256":"3b29acb7eb6f696335d15c1db3667c574d9332796e92d664d5b3eceb6a42bba4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vaIpPvmLjyvu5xUi/XMPmWYtUNw13OK0TVOUJ8aeuXfx/OmneaeWJcTHAXqJ/GKEOanZ1aQDGHw97Due4uHVCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T10:19:32.383068Z","bundle_sha256":"65649318c0556a07b43fbf2fbbf828ebd81c37b7a81bc3b358220fc5013fe0bc"}}