{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WIYKYC2V4ISH5MJNYC4FTXMQIJ","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":"e208a7bad85138e3e7ee890484a6b9b90c4426dde3486005d9fa8f0b14102636","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2018-05-28T09:12:49Z","title_canon_sha256":"49ec4cb61ffa7396ca35ddd6dc845be726a46fb13250580aa694c0e1ae14006f"},"schema_version":"1.0","source":{"id":"1805.10827","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.10827","created_at":"2026-05-18T00:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"1805.10827v1","created_at":"2026-05-18T00:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10827","created_at":"2026-05-18T00:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"WIYKYC2V4ISH","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WIYKYC2V4ISH5MJN","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WIYKYC2V","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:b83fd23d4354dda0178d05c8df646c601c778e5fa62ee6b5a9bdc3e986581b02","target":"graph","created_at":"2026-05-18T00:12:08Z","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":"A cornerstone of human statistical learning is the ability to extract temporal regularities / patterns from random sequences. Here we present a method of computing pattern time statistics with generating functions for first-order Markov trials and independent Bernoulli trials. We show that the pattern time statistics cover a wide range of measurements commonly used in existing studies of both human and machine learning of stochastic processes, including probability of alternation, temporal correlation between pattern events, and related variance / risk measures. Moreover, we show that recurren","authors_text":"Hongbin Wang, Yanlong Sun","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2018-05-28T09:12:49Z","title":"Learning Temporal Structures of Random Patterns"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10827","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":"sha256:8e5ce996a4fc58964c798e5f773c46ab7a1a20e1715c16c571edef9a128206f8","target":"record","created_at":"2026-05-18T00:12:08Z","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":"e208a7bad85138e3e7ee890484a6b9b90c4426dde3486005d9fa8f0b14102636","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2018-05-28T09:12:49Z","title_canon_sha256":"49ec4cb61ffa7396ca35ddd6dc845be726a46fb13250580aa694c0e1ae14006f"},"schema_version":"1.0","source":{"id":"1805.10827","kind":"arxiv","version":1}},"canonical_sha256":"b230ac0b55e2247eb12dc0b859dd90427d317e5bb56cfd4cb4669a2673af5db9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b230ac0b55e2247eb12dc0b859dd90427d317e5bb56cfd4cb4669a2673af5db9","first_computed_at":"2026-05-18T00:12:08.616038Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:08.616038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pNz6uUBygFNx0TpxqSU7nGBDHLKTYD6Z687IJkz9c8/vIYkbgVzW3s9Lm1C97caiZTWfSqdHUHXFf3XEKE4EBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:08.616669Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.10827","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e5ce996a4fc58964c798e5f773c46ab7a1a20e1715c16c571edef9a128206f8","sha256:b83fd23d4354dda0178d05c8df646c601c778e5fa62ee6b5a9bdc3e986581b02"],"state_sha256":"07a95c2abb0a90dbbaee4c07cf2bd13675c2e275bf82f86e5ccabd411d56b1c9"}