{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5VPXUO2VJ4FA4JGVNCY4WQATKG","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":"cb9e32f7eebec18813236cbc1530620c692f9e475e2779288cc90ce6d6c7c7d3","cross_cats_sorted":["cs.LG","stat.TH"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.ST","submitted_at":"2026-08-13T17:34:41Z","title_canon_sha256":"4842ac551e03d82fdcae49a3d6386425b75586cc63c720c54ed2ca960c9a76df"},"schema_version":"1.0","source":{"id":"2608.13510","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.13510","created_at":"2026-08-14T01:24:55Z"},{"alias_kind":"arxiv_version","alias_value":"2608.13510v1","created_at":"2026-08-14T01:24:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.13510","created_at":"2026-08-14T01:24:55Z"},{"alias_kind":"pith_short_12","alias_value":"5VPXUO2VJ4FA","created_at":"2026-08-14T01:24:55Z"},{"alias_kind":"pith_short_16","alias_value":"5VPXUO2VJ4FA4JGV","created_at":"2026-08-14T01:24:55Z"},{"alias_kind":"pith_short_8","alias_value":"5VPXUO2V","created_at":"2026-08-14T01:24:55Z"}],"graph_snapshots":[{"event_id":"sha256:e781d4c75694faf089f438e508d009b390f42b779728d7655b68536cb5a691e3","target":"graph","created_at":"2026-08-14T01:24:55Z","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/2608.13510/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Machine learning procedures are commonly evaluated in terms of predictive accuracy and computational efficiency. However, their achievable performance is fundamentally constrained by structural properties of the underlying data-generating process, which are formalized in terms of informational bounds. In this work we examine intrinsic limits of data-driven decision systems from an information-theoretic and interaction-based perspective. We analyze minimal achievable error in classification through Fano-type bounds and precision limits in parametric estimation via the Cram\\'er-Rao inequality, e","authors_text":"Gabriel Pena, Nestor R. Barraza","cross_cats":["cs.LG","stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.ST","submitted_at":"2026-08-13T17:34:41Z","title":"On the Structural Limits of Machine Learning Decision Systems: An Information-Theoretic, Interaction-Based, and Stochastic-Dynamical Perspective"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.13510","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":"sha256:019c0c15c976854ce288928f57a3f1da87eff4e4c93db0556243f389c0045de3","target":"record","created_at":"2026-08-14T01:24:55Z","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":"cb9e32f7eebec18813236cbc1530620c692f9e475e2779288cc90ce6d6c7c7d3","cross_cats_sorted":["cs.LG","stat.TH"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.ST","submitted_at":"2026-08-13T17:34:41Z","title_canon_sha256":"4842ac551e03d82fdcae49a3d6386425b75586cc63c720c54ed2ca960c9a76df"},"schema_version":"1.0","source":{"id":"2608.13510","kind":"arxiv","version":1}},"canonical_sha256":"ed5f7a3b554f0a0e24d568b1cb401351aafd1944cf966657c00c86f000b10345","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed5f7a3b554f0a0e24d568b1cb401351aafd1944cf966657c00c86f000b10345","first_computed_at":"2026-08-14T01:24:55.031023Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-14T01:24:55.031023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XRWRguqTlnJ2ycW7tGOPjmvInIATdUD9PjhBg52ZZ1SoNIHrqUCGck+6A633LH7NiAucPWK+bVq7ONHvByrCDA==","signature_status":"signed_v1","signed_at":"2026-08-14T01:24:55.033302Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.13510","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:019c0c15c976854ce288928f57a3f1da87eff4e4c93db0556243f389c0045de3","sha256:e781d4c75694faf089f438e508d009b390f42b779728d7655b68536cb5a691e3"],"state_sha256":"368941b6ba308f784c7f1e1a40385c57280b0346b239b4a2225c514f3737e660"}