{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:JTBC3PK4EX4CBAGRM6KB74Q2HU","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":"16f8a38dcbb42e808027881c8acdaf323f5399fea707f084cb246c9eb0e1c879","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.AI","submitted_at":"2025-09-02T17:51:34Z","title_canon_sha256":"f7cba068b72e3909662da7bd516a4f89f0655255fc4f3c4238a68f673fc90736"},"schema_version":"1.0","source":{"id":"2509.03548","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.03548","created_at":"2026-07-05T12:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"2509.03548v1","created_at":"2026-07-05T12:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.03548","created_at":"2026-07-05T12:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"JTBC3PK4EX4C","created_at":"2026-07-05T12:04:42Z"},{"alias_kind":"pith_short_16","alias_value":"JTBC3PK4EX4CBAGR","created_at":"2026-07-05T12:04:42Z"},{"alias_kind":"pith_short_8","alias_value":"JTBC3PK4","created_at":"2026-07-05T12:04:42Z"}],"graph_snapshots":[{"event_id":"sha256:99a1c296bd277e8c3748727ea1957ad656044d52c4fcfde16006c49055481599","target":"graph","created_at":"2026-07-05T12:04:42Z","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/2509.03548/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate partially identifiable queries in a class of causal models. We focus on acyclic Structural Causal Models that are quasi-Markovian (that is, each endogenous variable is connected with at most one exogenous confounder). We look into scenarios where endogenous variables are observed (and a distribution over them is known), while exogenous variables are not fully specified. This leads to a representation that is in essence a Bayesian network where the distribution of root variables is not uniquely determined. In such circumstances, it may not be possible to precisely compute a proba","authors_text":"Alex Gray, Daniel Lawand, Denis D. Mau\\'a, Eduardo R. Laurentino, Fabio G. Cozman, Jo\\~ao G. Rodrigues, Jo\\~ao P. Arroyo, Junkyu Lee, Radu Marinescu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.AI","submitted_at":"2025-09-02T17:51:34Z","title":"Multilinear and Linear Programs for Partially Identifiable Queries in Quasi-Markovian Structural Causal Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.03548","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":"sha256:747bdee579b9481707c70f0a9271180c37586cf599ec33cdff8574f81e74a740","target":"record","created_at":"2026-07-05T12:04:42Z","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":"16f8a38dcbb42e808027881c8acdaf323f5399fea707f084cb246c9eb0e1c879","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.AI","submitted_at":"2025-09-02T17:51:34Z","title_canon_sha256":"f7cba068b72e3909662da7bd516a4f89f0655255fc4f3c4238a68f673fc90736"},"schema_version":"1.0","source":{"id":"2509.03548","kind":"arxiv","version":1}},"canonical_sha256":"4cc22dbd5c25f82080d167941ff21a3d3e9e1a9cd8dba922d4dc10be4e573e87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4cc22dbd5c25f82080d167941ff21a3d3e9e1a9cd8dba922d4dc10be4e573e87","first_computed_at":"2026-07-05T12:04:42.008602Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:04:42.008602Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0JpFstKm7bGcX/G6pamlmUKoq+RgueeQgaYL40njDAuPjKOa+0/tYpfOJeEsPoCbvBIdPlWHKv0upATjoG95BA==","signature_status":"signed_v1","signed_at":"2026-07-05T12:04:42.009032Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.03548","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:747bdee579b9481707c70f0a9271180c37586cf599ec33cdff8574f81e74a740","sha256:99a1c296bd277e8c3748727ea1957ad656044d52c4fcfde16006c49055481599"],"state_sha256":"a10357d395cc231f8c57f41c421f624c3942269f558d540d2c2a2f57c343e152"}