{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:GQIRCMT4XXI2MOYYJPTURCURWJ","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":"3cf281a8c2e3a661715275a186c02a9297c5b95f364299daf9948c199c4a6b8d","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2026-06-04T09:45:42Z","title_canon_sha256":"e527ed1d764cb573b104d8bd6ab7371c7c54771f5d41087b6165b253467cba04"},"schema_version":"1.0","source":{"id":"2606.05942","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.05942","created_at":"2026-06-05T01:15:28Z"},{"alias_kind":"arxiv_version","alias_value":"2606.05942v1","created_at":"2026-06-05T01:15:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.05942","created_at":"2026-06-05T01:15:28Z"},{"alias_kind":"pith_short_12","alias_value":"GQIRCMT4XXI2","created_at":"2026-06-05T01:15:28Z"},{"alias_kind":"pith_short_16","alias_value":"GQIRCMT4XXI2MOYY","created_at":"2026-06-05T01:15:28Z"},{"alias_kind":"pith_short_8","alias_value":"GQIRCMT4","created_at":"2026-06-05T01:15:28Z"}],"graph_snapshots":[{"event_id":"sha256:9fabbedd32ad5ad728498f50009124131668e41afffb76c42ce349478563c36a","target":"graph","created_at":"2026-06-05T01:15:28Z","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/2606.05942/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Neural network (NN)-based nonlinear causal discovery methods recover DAG structure but leave each causal mechanism as a black box. Waxman et al. argued that extracting causal mechanisms from NN weights is ill-posed. We propose EML-CD, a framework that integrates the EML operator (capable of composing elementary functions from a single binary operator) into causal structure learning, with interpretable mechanism recovery as the primary objective. EML-CD represents each edge mechanism as a gated EML binary tree and automatically discovers closed-form causal equations. Analytical Jacobians can be","authors_text":"Sota Asanuma","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2026-06-04T09:45:42Z","title":"EML-CD: Causal Mechanism Recovery via EML Symbolic Trees in Structure Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.05942","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":"sha256:98dc899b3b1b02ceae4a892bc03fe92f1c70bbfee4a27847500dbb427fac6f19","target":"record","created_at":"2026-06-05T01:15:28Z","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":"3cf281a8c2e3a661715275a186c02a9297c5b95f364299daf9948c199c4a6b8d","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2026-06-04T09:45:42Z","title_canon_sha256":"e527ed1d764cb573b104d8bd6ab7371c7c54771f5d41087b6165b253467cba04"},"schema_version":"1.0","source":{"id":"2606.05942","kind":"arxiv","version":1}},"canonical_sha256":"341111327cbdd1a63b184be7488a91b26d8fc029991cd0ff9492be0c945cd6c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"341111327cbdd1a63b184be7488a91b26d8fc029991cd0ff9492be0c945cd6c9","first_computed_at":"2026-06-05T01:15:28.337203Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-05T01:15:28.337203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hkDjdr3knJEQlkanaOsTfiOm9Nl7eMXjas+gvUztik0pYjbEYbb9zLVtJldtqsCiRJE8pjxsbLLpnKdeIhXrCg==","signature_status":"signed_v1","signed_at":"2026-06-05T01:15:28.337634Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.05942","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98dc899b3b1b02ceae4a892bc03fe92f1c70bbfee4a27847500dbb427fac6f19","sha256:9fabbedd32ad5ad728498f50009124131668e41afffb76c42ce349478563c36a"],"state_sha256":"892f526bf175a6a17cd1d6627812f72e1df899ffaf2a929ea7e83a6a6225425c"}