{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:3UBLEXK2PXV34VMVJZBYDPC6YW","short_pith_number":"pith:3UBLEXK2","canonical_record":{"source":{"id":"2605.20007","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-05-19T15:37:01Z","cross_cats_sorted":[],"title_canon_sha256":"21e9690710335162502d0c6c46378c22ca9b8d1c75d1984d6c400bcdb1188acf","abstract_canon_sha256":"8fe28b0b76999799e457ec4b661fbac13e8725dfdccf128c2846c736e5044865"},"schema_version":"1.0"},"canonical_sha256":"dd02b25d5a7debbe55954e4381bc5ec5ba0e0b8ce3a1eb842a6b4d6273462ad4","source":{"kind":"arxiv","id":"2605.20007","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.20007","created_at":"2026-05-20T02:05:58Z"},{"alias_kind":"arxiv_version","alias_value":"2605.20007v1","created_at":"2026-05-20T02:05:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20007","created_at":"2026-05-20T02:05:58Z"},{"alias_kind":"pith_short_12","alias_value":"3UBLEXK2PXV3","created_at":"2026-05-20T02:05:58Z"},{"alias_kind":"pith_short_16","alias_value":"3UBLEXK2PXV34VMV","created_at":"2026-05-20T02:05:58Z"},{"alias_kind":"pith_short_8","alias_value":"3UBLEXK2","created_at":"2026-05-20T02:05:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:3UBLEXK2PXV34VMVJZBYDPC6YW","target":"record","payload":{"canonical_record":{"source":{"id":"2605.20007","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-05-19T15:37:01Z","cross_cats_sorted":[],"title_canon_sha256":"21e9690710335162502d0c6c46378c22ca9b8d1c75d1984d6c400bcdb1188acf","abstract_canon_sha256":"8fe28b0b76999799e457ec4b661fbac13e8725dfdccf128c2846c736e5044865"},"schema_version":"1.0"},"canonical_sha256":"dd02b25d5a7debbe55954e4381bc5ec5ba0e0b8ce3a1eb842a6b4d6273462ad4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T02:05:58.752281Z","signature_b64":"kysZEwyicrarvpfKhCbcpRItQAQ+rttOmoFEvVdEMtxI/4gw/rPaQ7MVAiDKgqAsIiM2KzwKirMBsrDAemMxBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd02b25d5a7debbe55954e4381bc5ec5ba0e0b8ce3a1eb842a6b4d6273462ad4","last_reissued_at":"2026-05-20T02:05:58.751855Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T02:05:58.751855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.20007","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":"2026-05-20T02:05:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0A/AUg97LEXotneFZ0Ln1WHDx6RmMj5S8JH/iNDF5npUvYFfAU091Eja7f3TyJzjkVKM80QScQAn+Pd7AJpjBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T02:09:39.109257Z"},"content_sha256":"eb07725afa4f5f71653cbcfb09949c4dec55730a5ab78490cf2d20d900f694d2","schema_version":"1.0","event_id":"sha256:eb07725afa4f5f71653cbcfb09949c4dec55730a5ab78490cf2d20d900f694d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:3UBLEXK2PXV34VMVJZBYDPC6YW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Identifying Interventional Joint Distributions via Extended Bridge Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Constantin Schott","submitted_at":"2026-05-19T15:37:01Z","abstract_excerpt":"Existing identification results in proximal causal inference often focus on marginal interventional distributions using standard outcome or treatment bridge functions. These methods do not generally identify joint interventional distributions that contain all proxy variables that were used to define the corresponding bridge functions. In many applications, however, these joint interventional distributions are a natural target of interest. We introduce extended bridge functions and derive new identification results for joint interventional distributions that may retain all relevant proxy variab"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20007","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/2605.20007/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":"2026-05-20T02:05:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kXRo1lpWlf2ZfrbW7exXDp3nmZFXRFMNgbg8lMKa8IZiiiqMN/0aMz7mZsQDYe/5uQ9Cq/YQBLnCyUMmNC8eCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T02:09:39.109733Z"},"content_sha256":"1cf8ea2c58dc84ad0d9c179fb0d565756bf4453cff9207131b823b4bd3e48b4e","schema_version":"1.0","event_id":"sha256:1cf8ea2c58dc84ad0d9c179fb0d565756bf4453cff9207131b823b4bd3e48b4e"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:3UBLEXK2PXV34VMVJZBYDPC6YW","target":"integrity","payload":{"note":"URL 'http://www.aaai.org/Library/' returned status 404 (Not Found) at last check.","snippet":null,"arxiv_id":"2605.20007","detector":"external_links","evidence":{"url":"http://www.aaai.org/Library/","final_url":"https://aaai.org/Library/","host_kind":"website","status_code":404,"status_text":"Not Found","verdict_class":"incontrovertible","checked_at_unix":1779320161.694178},"severity":"advisory","ref_index":null,"audited_at":"2026-05-20T23:36:02.425407Z","event_type":"pith.integrity.v1","detected_doi":null,"detector_url":"https://pith.science/pith-integrity-protocol#external_links","external_url":"http://www.aaai.org/Library/","finding_type":"dead_url","evidence_hash":"8bc8c88f561948dda72c967b200317b0b5f44c563da0607501814dd230c92bff","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":5542,"payload_sha256":"0fce1013b664bf414c9cc870c7a6c01e88220185cbf2be08fba201e5cea97158","signature_b64":"mgdAmP/+tjNmJnAICLMV9pfLB4T2p4igVlTie/4C5Z/hz4IgCZmd6aiwkDZnL863IcZb4XAJAUM+x/7qeu8WAQ==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T23:38:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FhfiDJTzsVzRBJFWYIQA+QlEU6xBhch9O3flUJWjBTdqsbmByxtDh/AQfmFEYj6OHY7shhkQwKuS+4p9leesAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T02:09:39.110824Z"},"content_sha256":"8a39a6d600e9c93eac0192be0c3ea595f3aa66e72d60b37d5e371bba1ef59e2b","schema_version":"1.0","event_id":"sha256:8a39a6d600e9c93eac0192be0c3ea595f3aa66e72d60b37d5e371bba1ef59e2b"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:3UBLEXK2PXV34VMVJZBYDPC6YW","target":"integrity","payload":{"note":"URL 'http://www.aaai.org/Library/' returned status 404 (Not Found) at last check.","snippet":null,"arxiv_id":"2605.20007","detector":"external_links","evidence":{"url":"http://www.aaai.org/Library/","final_url":"https://aaai.org/Library/","host_kind":"website","status_code":404,"status_text":"Not Found","verdict_class":"incontrovertible","checked_at_unix":1779277005.401832},"severity":"advisory","ref_index":null,"audited_at":"2026-05-20T11:36:46.151858Z","event_type":"pith.integrity.v1","detected_doi":null,"detector_url":"https://pith.science/pith-integrity-protocol#external_links","external_url":"http://www.aaai.org/Library/","finding_type":"dead_url","evidence_hash":"bb6842060756ffa023ec1d61b38089a279744dd8800acf4ff4075fecfe045482","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":5107,"payload_sha256":"b504b8eda6115022db21139f3fd972c8bdc38403b7d5c5eac049ab4234c315cb","signature_b64":"1IeKG4KIDU1ZXmecxZgHVhGQZScKkTdr/fysVdad68D7G9a3xU16Kcwf/RicrzUCQ1khPi5NrHiV6qI1U4ICCA==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T11:37:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ppm4sdN6kj/M4Oz5VT1Y0M/Q7PjRhx0D6rdGC9Qc4ZRBuGHNV5VMvgJT47pRlHocNlFzg/Nm37ahiZ92X+9zCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T02:09:39.111107Z"},"content_sha256":"42368b4b4f0117388043945dfdf91a0f84e0a27c95bd47c20668968eed85c982","schema_version":"1.0","event_id":"sha256:42368b4b4f0117388043945dfdf91a0f84e0a27c95bd47c20668968eed85c982"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3UBLEXK2PXV34VMVJZBYDPC6YW/bundle.json","state_url":"https://pith.science/pith/3UBLEXK2PXV34VMVJZBYDPC6YW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3UBLEXK2PXV34VMVJZBYDPC6YW/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":"2026-05-21T02:09:39Z","links":{"resolver":"https://pith.science/pith/3UBLEXK2PXV34VMVJZBYDPC6YW","bundle":"https://pith.science/pith/3UBLEXK2PXV34VMVJZBYDPC6YW/bundle.json","state":"https://pith.science/pith/3UBLEXK2PXV34VMVJZBYDPC6YW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3UBLEXK2PXV34VMVJZBYDPC6YW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:3UBLEXK2PXV34VMVJZBYDPC6YW","merge_version":"pith-open-graph-merge-v1","event_count":4,"valid_event_count":4,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8fe28b0b76999799e457ec4b661fbac13e8725dfdccf128c2846c736e5044865","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-05-19T15:37:01Z","title_canon_sha256":"21e9690710335162502d0c6c46378c22ca9b8d1c75d1984d6c400bcdb1188acf"},"schema_version":"1.0","source":{"id":"2605.20007","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.20007","created_at":"2026-05-20T02:05:58Z"},{"alias_kind":"arxiv_version","alias_value":"2605.20007v1","created_at":"2026-05-20T02:05:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20007","created_at":"2026-05-20T02:05:58Z"},{"alias_kind":"pith_short_12","alias_value":"3UBLEXK2PXV3","created_at":"2026-05-20T02:05:58Z"},{"alias_kind":"pith_short_16","alias_value":"3UBLEXK2PXV34VMV","created_at":"2026-05-20T02:05:58Z"},{"alias_kind":"pith_short_8","alias_value":"3UBLEXK2","created_at":"2026-05-20T02:05:58Z"}],"graph_snapshots":[{"event_id":"sha256:1cf8ea2c58dc84ad0d9c179fb0d565756bf4453cff9207131b823b4bd3e48b4e","target":"graph","created_at":"2026-05-20T02:05:58Z","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/2605.20007/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Existing identification results in proximal causal inference often focus on marginal interventional distributions using standard outcome or treatment bridge functions. These methods do not generally identify joint interventional distributions that contain all proxy variables that were used to define the corresponding bridge functions. In many applications, however, these joint interventional distributions are a natural target of interest. We introduce extended bridge functions and derive new identification results for joint interventional distributions that may retain all relevant proxy variab","authors_text":"Constantin Schott","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-05-19T15:37:01Z","title":"Identifying Interventional Joint Distributions via Extended Bridge Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20007","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:eb07725afa4f5f71653cbcfb09949c4dec55730a5ab78490cf2d20d900f694d2","target":"record","created_at":"2026-05-20T02:05:58Z","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":"8fe28b0b76999799e457ec4b661fbac13e8725dfdccf128c2846c736e5044865","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-05-19T15:37:01Z","title_canon_sha256":"21e9690710335162502d0c6c46378c22ca9b8d1c75d1984d6c400bcdb1188acf"},"schema_version":"1.0","source":{"id":"2605.20007","kind":"arxiv","version":1}},"canonical_sha256":"dd02b25d5a7debbe55954e4381bc5ec5ba0e0b8ce3a1eb842a6b4d6273462ad4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd02b25d5a7debbe55954e4381bc5ec5ba0e0b8ce3a1eb842a6b4d6273462ad4","first_computed_at":"2026-05-20T02:05:58.751855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T02:05:58.751855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kysZEwyicrarvpfKhCbcpRItQAQ+rttOmoFEvVdEMtxI/4gw/rPaQ7MVAiDKgqAsIiM2KzwKirMBsrDAemMxBw==","signature_status":"signed_v1","signed_at":"2026-05-20T02:05:58.752281Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.20007","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:42368b4b4f0117388043945dfdf91a0f84e0a27c95bd47c20668968eed85c982","sha256:8a39a6d600e9c93eac0192be0c3ea595f3aa66e72d60b37d5e371bba1ef59e2b"]}],"invalid_events":[],"applied_event_ids":["sha256:eb07725afa4f5f71653cbcfb09949c4dec55730a5ab78490cf2d20d900f694d2","sha256:1cf8ea2c58dc84ad0d9c179fb0d565756bf4453cff9207131b823b4bd3e48b4e"],"state_sha256":"9470d5b7eaaa75f7060f53f6fb1cb72d47bee71de14c951b1c07884f85680415"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Naah/iM9lkOD+7VgXCazsnrrV3uC+yA0JEHr9lyWVRbEKhOAyVAeWlyjD2sBSXOUiZjwuCc9bSvDZmzCmUEDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T02:09:39.113598Z","bundle_sha256":"b2a73daf21563a68f2a2cea39b374cc313fe9b33c39525093167a765564af8f8"}}