{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:BTOCX2WRZINW3U3DDI666J56TI","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":"31b06a6514f2a381be845c1418dc8e293f0d7bc91cba8c178a4c157b340ca74f","cross_cats_sorted":["cs.IT","math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2009-03-21T14:16:05Z","title_canon_sha256":"5af6d82f28946d224d7c4d40286f3c7252d21b7e0d004239c7dad61cef862cfa"},"schema_version":"1.0","source":{"id":"0903.3667","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.3667","created_at":"2026-05-18T04:32:19Z"},{"alias_kind":"arxiv_version","alias_value":"0903.3667v5","created_at":"2026-05-18T04:32:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.3667","created_at":"2026-05-18T04:32:19Z"},{"alias_kind":"pith_short_12","alias_value":"BTOCX2WRZINW","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"BTOCX2WRZINW3U3D","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"BTOCX2WR","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:9cf531cb30d57b64f33346dccb9d27ddd5312bc156d1ebc6a7a9e4ae942f1e8d","target":"graph","created_at":"2026-05-18T04:32:19Z","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"},"paper":{"abstract_excerpt":"Given a random binary sequence $X^{(n)}$ of random variables, $X_{t},$ $t=1,2,...,n$, for instance, one that is generated by a Markov source (teacher) of order $k^{*}$ (each state represented by $k^{*}$ bits). Assume that the probability of the event $X_{t}=1$ is constant and denote it by $\\beta$. Consider a learner which is based on a parametric model, for instance a Markov model of order $k$, who trains on a sequence $x^{(m)}$ which is randomly drawn by the teacher. Test the learner's performance by giving it a sequence $x^{(n)}$ (generated by the teacher) and check its predictions on every ","authors_text":"Joel Ratsaby","cross_cats":["cs.IT","math.IT","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2009-03-21T14:16:05Z","title":"How random are a learner's mistakes?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.3667","kind":"arxiv","version":5},"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":"sha256:5fc85d97dfa2bcdaea847eb0ccbeab90b98e1c2a0677794924c925ac056da4ac","target":"record","created_at":"2026-05-18T04:32:19Z","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":"31b06a6514f2a381be845c1418dc8e293f0d7bc91cba8c178a4c157b340ca74f","cross_cats_sorted":["cs.IT","math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2009-03-21T14:16:05Z","title_canon_sha256":"5af6d82f28946d224d7c4d40286f3c7252d21b7e0d004239c7dad61cef862cfa"},"schema_version":"1.0","source":{"id":"0903.3667","kind":"arxiv","version":5}},"canonical_sha256":"0cdc2bead1ca1b6dd3631a3def27be9a3ef01b8a798e2ba2df029a3bd36115b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0cdc2bead1ca1b6dd3631a3def27be9a3ef01b8a798e2ba2df029a3bd36115b3","first_computed_at":"2026-05-18T04:32:19.988462Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:19.988462Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Az54gn13nlVkKR35aDtsJXVsrylwWNNEQUm4657E2ZL3snaZR9lrNWg332z0M4bIXKXy2+m82H3tlavrVUPODg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:19.989144Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.3667","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5fc85d97dfa2bcdaea847eb0ccbeab90b98e1c2a0677794924c925ac056da4ac","sha256:9cf531cb30d57b64f33346dccb9d27ddd5312bc156d1ebc6a7a9e4ae942f1e8d"],"state_sha256":"cfed2f8011cdfaab14af7bbfac5eae113cd23ec7aa021afa56124c79ce40b057"}