{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:PGS744LB6JP3STETY435AOWE4E","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":"2f094d0a45683713d001bc6a83844df76261e921920df8889f74998f03eb1388","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2012-08-24T16:29:48Z","title_canon_sha256":"4192990185948b80c90b74b900160280a71e0197c38d00022381d65d47ac18fd"},"schema_version":"1.0","source":{"id":"1208.5003","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.5003","created_at":"2026-05-18T02:47:41Z"},{"alias_kind":"arxiv_version","alias_value":"1208.5003v3","created_at":"2026-05-18T02:47:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.5003","created_at":"2026-05-18T02:47:41Z"},{"alias_kind":"pith_short_12","alias_value":"PGS744LB6JP3","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PGS744LB6JP3STET","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PGS744LB","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:a14d79aadd839eb19e6badc0eb1646ed3a8bc070c656228bb35b7260b67a02a4","target":"graph","created_at":"2026-05-18T02:47:41Z","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":"We consider the problem of inferring the probability distribution associated with a language, given data consisting of an infinite sequence of elements of the languge. We do this under two assumptions on the algorithms concerned: (i) like a real-life algorothm it has round-off errors, and (ii) it has no round-off errors. Assuming (i) we (a) consider a probability mass function of the elements of the language if the data are drawn independent identically distributed (i.i.d.), provided the probability mass function is computable and has a finite expectation. We give an effective procedure to alm","authors_text":"Nick Chater (Behavioural Science Group, Paul M. B. Vitanyi (CWI, University of Amsterdam), University of Warwick), Warwick Business School","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2012-08-24T16:29:48Z","title":"Identification of Probabilities of Languages"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.5003","kind":"arxiv","version":3},"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:cf8300d3c90c12009e757bbb5308461e4a554e050741ab1ce8f6eee6c76d52df","target":"record","created_at":"2026-05-18T02:47:41Z","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":"2f094d0a45683713d001bc6a83844df76261e921920df8889f74998f03eb1388","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2012-08-24T16:29:48Z","title_canon_sha256":"4192990185948b80c90b74b900160280a71e0197c38d00022381d65d47ac18fd"},"schema_version":"1.0","source":{"id":"1208.5003","kind":"arxiv","version":3}},"canonical_sha256":"79a5fe7161f25fb94c93c737d03ac4e13c02b96a0edbef9419c5417500be380a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79a5fe7161f25fb94c93c737d03ac4e13c02b96a0edbef9419c5417500be380a","first_computed_at":"2026-05-18T02:47:41.414603Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:41.414603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2p25P1QAyDF8SeyjdgR0ExwKcXPd268E43060utAS0aPBZ4n2FKD5aGvmrAEufmmxEeYGNgdHL/Bf5KaiukBAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:41.415445Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.5003","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf8300d3c90c12009e757bbb5308461e4a554e050741ab1ce8f6eee6c76d52df","sha256:a14d79aadd839eb19e6badc0eb1646ed3a8bc070c656228bb35b7260b67a02a4"],"state_sha256":"38798354b6f1ca8cd6583e6a32c8f56b8604a31666c782d3c3e178c8dc62cfd8"}