{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:6HAL62CTMPLS7PTPVOZEOJQTUM","short_pith_number":"pith:6HAL62CT","canonical_record":{"source":{"id":"2211.08209","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-11-14T04:14:37Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"5840d207f417046b6b7c1e4c9719e950f835baaa33a325c197b84300b3d60aab","abstract_canon_sha256":"dbd6e1587e45bd00bbb00f9eb9c80101c1892388920adcac711c94f5dff4d1db"},"schema_version":"1.0"},"canonical_sha256":"f1c0bf685363d72fbe6fabb2472613a3266d7ed936ae77137c7160d3a249f2e9","source":{"kind":"arxiv","id":"2211.08209","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.08209","created_at":"2026-07-05T06:50:52Z"},{"alias_kind":"arxiv_version","alias_value":"2211.08209v3","created_at":"2026-07-05T06:50:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.08209","created_at":"2026-07-05T06:50:52Z"},{"alias_kind":"pith_short_12","alias_value":"6HAL62CTMPLS","created_at":"2026-07-05T06:50:52Z"},{"alias_kind":"pith_short_16","alias_value":"6HAL62CTMPLS7PTP","created_at":"2026-07-05T06:50:52Z"},{"alias_kind":"pith_short_8","alias_value":"6HAL62CT","created_at":"2026-07-05T06:50:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:6HAL62CTMPLS7PTPVOZEOJQTUM","target":"record","payload":{"canonical_record":{"source":{"id":"2211.08209","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-11-14T04:14:37Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"5840d207f417046b6b7c1e4c9719e950f835baaa33a325c197b84300b3d60aab","abstract_canon_sha256":"dbd6e1587e45bd00bbb00f9eb9c80101c1892388920adcac711c94f5dff4d1db"},"schema_version":"1.0"},"canonical_sha256":"f1c0bf685363d72fbe6fabb2472613a3266d7ed936ae77137c7160d3a249f2e9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:50:52.920921Z","signature_b64":"oRxJQksdROWdjangiqfzsC/E36K8xrSGl+tH3jUq0o8v4tNZeD8ehUang5SedQjBJLlRWUvLKrWTpktxEZd1Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1c0bf685363d72fbe6fabb2472613a3266d7ed936ae77137c7160d3a249f2e9","last_reissued_at":"2026-07-05T06:50:52.920327Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:50:52.920327Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2211.08209","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:50:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m5apl2I54xylr/4ojb4fupRuwSeelsYZRkWcJPJYu4kT5OEnBsVQj6s0dEGT0kInaLoRCkUkiR0T/dPoYQ4HBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T05:58:22.092062Z"},"content_sha256":"c86ac33276d6f45d8bcd4c0bca2e16b97d891dea5d7f0e1f674595f5df93581d","schema_version":"1.0","event_id":"sha256:c86ac33276d6f45d8bcd4c0bca2e16b97d891dea5d7f0e1f674595f5df93581d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:6HAL62CTMPLS7PTPVOZEOJQTUM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On counterfactual inference with unobserved confounding","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME"],"primary_cat":"cs.LG","authors_text":"Abhin Shah, Devavrat Shah, Gregory W. Wornell, Raaz Dwivedi","submitted_at":"2022-11-14T04:14:37Z","abstract_excerpt":"Given an observational study with $n$ independent but heterogeneous units, our goal is to learn the counterfactual distribution for each unit using only one $p$-dimensional sample per unit containing covariates, interventions, and outcomes. Specifically, we allow for unobserved confounding that introduces statistical biases between interventions and outcomes as well as exacerbates the heterogeneity across units. Modeling the conditional distribution of the outcomes as an exponential family, we reduce learning the unit-level counterfactual distributions to learning $n$ exponential family distri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.08209","kind":"arxiv","version":3},"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/2211.08209/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":"2026-07-05T06:50:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aaECipapO2FEQKFX2T8p5mQ40EaVkOYeQMQ/MKpk/apdt2cKaG15emSFg7elE5A4wzPinHvEOW4R+antRaWBAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T05:58:22.092473Z"},"content_sha256":"abe88e80b63b5ddcd185de982cade871f0a92c28239ad7057ea81ba7bc5ac718","schema_version":"1.0","event_id":"sha256:abe88e80b63b5ddcd185de982cade871f0a92c28239ad7057ea81ba7bc5ac718"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6HAL62CTMPLS7PTPVOZEOJQTUM/bundle.json","state_url":"https://pith.science/pith/6HAL62CTMPLS7PTPVOZEOJQTUM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6HAL62CTMPLS7PTPVOZEOJQTUM/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":"2026-07-07T05:58:22Z","links":{"resolver":"https://pith.science/pith/6HAL62CTMPLS7PTPVOZEOJQTUM","bundle":"https://pith.science/pith/6HAL62CTMPLS7PTPVOZEOJQTUM/bundle.json","state":"https://pith.science/pith/6HAL62CTMPLS7PTPVOZEOJQTUM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6HAL62CTMPLS7PTPVOZEOJQTUM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:6HAL62CTMPLS7PTPVOZEOJQTUM","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":"dbd6e1587e45bd00bbb00f9eb9c80101c1892388920adcac711c94f5dff4d1db","cross_cats_sorted":["stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-11-14T04:14:37Z","title_canon_sha256":"5840d207f417046b6b7c1e4c9719e950f835baaa33a325c197b84300b3d60aab"},"schema_version":"1.0","source":{"id":"2211.08209","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.08209","created_at":"2026-07-05T06:50:52Z"},{"alias_kind":"arxiv_version","alias_value":"2211.08209v3","created_at":"2026-07-05T06:50:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.08209","created_at":"2026-07-05T06:50:52Z"},{"alias_kind":"pith_short_12","alias_value":"6HAL62CTMPLS","created_at":"2026-07-05T06:50:52Z"},{"alias_kind":"pith_short_16","alias_value":"6HAL62CTMPLS7PTP","created_at":"2026-07-05T06:50:52Z"},{"alias_kind":"pith_short_8","alias_value":"6HAL62CT","created_at":"2026-07-05T06:50:52Z"}],"graph_snapshots":[{"event_id":"sha256:abe88e80b63b5ddcd185de982cade871f0a92c28239ad7057ea81ba7bc5ac718","target":"graph","created_at":"2026-07-05T06:50:52Z","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/2211.08209/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Given an observational study with $n$ independent but heterogeneous units, our goal is to learn the counterfactual distribution for each unit using only one $p$-dimensional sample per unit containing covariates, interventions, and outcomes. Specifically, we allow for unobserved confounding that introduces statistical biases between interventions and outcomes as well as exacerbates the heterogeneity across units. Modeling the conditional distribution of the outcomes as an exponential family, we reduce learning the unit-level counterfactual distributions to learning $n$ exponential family distri","authors_text":"Abhin Shah, Devavrat Shah, Gregory W. Wornell, Raaz Dwivedi","cross_cats":["stat.ME"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-11-14T04:14:37Z","title":"On counterfactual inference with unobserved confounding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.08209","kind":"arxiv","version":3},"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:c86ac33276d6f45d8bcd4c0bca2e16b97d891dea5d7f0e1f674595f5df93581d","target":"record","created_at":"2026-07-05T06:50:52Z","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":"dbd6e1587e45bd00bbb00f9eb9c80101c1892388920adcac711c94f5dff4d1db","cross_cats_sorted":["stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-11-14T04:14:37Z","title_canon_sha256":"5840d207f417046b6b7c1e4c9719e950f835baaa33a325c197b84300b3d60aab"},"schema_version":"1.0","source":{"id":"2211.08209","kind":"arxiv","version":3}},"canonical_sha256":"f1c0bf685363d72fbe6fabb2472613a3266d7ed936ae77137c7160d3a249f2e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1c0bf685363d72fbe6fabb2472613a3266d7ed936ae77137c7160d3a249f2e9","first_computed_at":"2026-07-05T06:50:52.920327Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:50:52.920327Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oRxJQksdROWdjangiqfzsC/E36K8xrSGl+tH3jUq0o8v4tNZeD8ehUang5SedQjBJLlRWUvLKrWTpktxEZd1Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:50:52.920921Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.08209","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c86ac33276d6f45d8bcd4c0bca2e16b97d891dea5d7f0e1f674595f5df93581d","sha256:abe88e80b63b5ddcd185de982cade871f0a92c28239ad7057ea81ba7bc5ac718"],"state_sha256":"650be347ad12993c08e1085c401a2bde01ffc8b555dff466a694c09940288a29"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GJ9HjmtbSQOAuSbGsvt83jTwtkbRfmPrB6UedAJTF+cGsWY7IPKVzB/yz+4HZzwsZUJ8GQcPiQ1wBHw46ZouAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T05:58:22.094821Z","bundle_sha256":"96e3b4e88460fbecb2813232a2c387d5b20b1548cdad21f13e879c052a163090"}}