{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:Q4DVW3XIY5DY43K4FBMGRJGZUU","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":"8692f4c6a16b092b92c410b5e3614392a3b3057b62fa96948a76f6c720195642","cross_cats_sorted":["nlin.AO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-23T08:17:35Z","title_canon_sha256":"34cb6b780217fa14873bf232bf51e7042b3154a49c51b98349c70cf4c3d31bda"},"schema_version":"1.0","source":{"id":"2606.24953","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.24953","created_at":"2026-06-25T00:17:46Z"},{"alias_kind":"arxiv_version","alias_value":"2606.24953v1","created_at":"2026-06-25T00:17:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.24953","created_at":"2026-06-25T00:17:46Z"},{"alias_kind":"pith_short_12","alias_value":"Q4DVW3XIY5DY","created_at":"2026-06-25T00:17:46Z"},{"alias_kind":"pith_short_16","alias_value":"Q4DVW3XIY5DY43K4","created_at":"2026-06-25T00:17:46Z"},{"alias_kind":"pith_short_8","alias_value":"Q4DVW3XI","created_at":"2026-06-25T00:17:46Z"}],"graph_snapshots":[{"event_id":"sha256:2e452e6a7a9460b08471a447ae0197f1adeb4fbc78a656c507d46e82a21f8819","target":"graph","created_at":"2026-06-25T00:17:46Z","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/2606.24953/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Machine learning (ML) algorithms are known to be opaque. We do not know the reasons for their predictions. The learning process leading to the prediction function is also opaque. We do not fully understand the time evolution of the weight values of neural nets (NN) and related dynamical phenomena. While prediction opacity is widely studied, learning opacity remains largely underexplored. This article studies learning opacity trough the lens of complex dynamical systems. We argue that NN learning is essentially a complex system and that learning opacity is due to dynamical complexity and the ep","authors_text":"Eric Raidl, Joachim Stein","cross_cats":["nlin.AO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-23T08:17:35Z","title":"How Complexity Contributes to Learning Opacity in Machine Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24953","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:b43a7f65c9201822a20e77db199c61e94759dac79cb97ad79c4be2fc3ca6ce17","target":"record","created_at":"2026-06-25T00:17:46Z","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":"8692f4c6a16b092b92c410b5e3614392a3b3057b62fa96948a76f6c720195642","cross_cats_sorted":["nlin.AO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-23T08:17:35Z","title_canon_sha256":"34cb6b780217fa14873bf232bf51e7042b3154a49c51b98349c70cf4c3d31bda"},"schema_version":"1.0","source":{"id":"2606.24953","kind":"arxiv","version":1}},"canonical_sha256":"87075b6ee8c7478e6d5c285868a4d9a53d1be5741e7a1428c278a2267a93f082","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87075b6ee8c7478e6d5c285868a4d9a53d1be5741e7a1428c278a2267a93f082","first_computed_at":"2026-06-25T00:17:46.760131Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-25T00:17:46.760131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tFwH3rYygRKoF2jkaT9/7WlUGUsEeB0Ews+Hk4tW2W2uWSZFVp9a7s+Wj4rDIF/YYLYm1ksC3dDxYU6ViHuxBw==","signature_status":"signed_v1","signed_at":"2026-06-25T00:17:46.760485Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.24953","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b43a7f65c9201822a20e77db199c61e94759dac79cb97ad79c4be2fc3ca6ce17","sha256:2e452e6a7a9460b08471a447ae0197f1adeb4fbc78a656c507d46e82a21f8819"],"state_sha256":"738637891fd1fcbf33b4560f16698f30142fb2cf9d7b923a70fd01f1a0ada8ab"}