{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:4OGO5YG64GNEBXHFCJGWOY3ASL","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":"e900593740a392736a39abd53608ad07298681f472917c7b6c14b8970c5b0833","cross_cats_sorted":["physics.bio-ph","physics.comp-ph","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-03-25T23:35:34Z","title_canon_sha256":"a229c611a00903fe9425a24ceb803d5cf9abc63386fc0857daf0ef93ddb54d02"},"schema_version":"1.0","source":{"id":"2003.11680","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.11680","created_at":"2026-07-05T03:21:37Z"},{"alias_kind":"arxiv_version","alias_value":"2003.11680v1","created_at":"2026-07-05T03:21:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.11680","created_at":"2026-07-05T03:21:37Z"},{"alias_kind":"pith_short_12","alias_value":"4OGO5YG64GNE","created_at":"2026-07-05T03:21:37Z"},{"alias_kind":"pith_short_16","alias_value":"4OGO5YG64GNEBXHF","created_at":"2026-07-05T03:21:37Z"},{"alias_kind":"pith_short_8","alias_value":"4OGO5YG6","created_at":"2026-07-05T03:21:37Z"}],"graph_snapshots":[{"event_id":"sha256:3850c8a253a18ed7d8516dab7cfb0cc4ea2347e4eaee3f4bde9049d21a445b57","target":"graph","created_at":"2026-07-05T03:21:37Z","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/2003.11680/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a phase transition in parameter learning of Hidden Markov Models (HMMs). We do this by generating sequences of observed symbols from given discrete HMMs with uniformly distributed transition probabilities and a noise level encoded in the output probabilities. By using the Baum-Welch (BW) algorithm, an Expectation-Maximization algorithm from the field of Machine Learning, we then try to estimate the parameters of each investigated realization of an HMM. We study HMMs with n=4, 8 and 16 states. By changing the amount of accessible learning data and the noise level, we observe a phase-tr","authors_text":"Alexander K. Hartmann, J\\\"org L\\\"ucke, Nikita Rau","cross_cats":["physics.bio-ph","physics.comp-ph","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-03-25T23:35:34Z","title":"Phase transition for parameter learning of Hidden Markov Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.11680","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:cdf0bf9ed60d10f24efe8b452870b0cadcc990645fad2f1ea06aa122e85ad726","target":"record","created_at":"2026-07-05T03:21:37Z","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":"e900593740a392736a39abd53608ad07298681f472917c7b6c14b8970c5b0833","cross_cats_sorted":["physics.bio-ph","physics.comp-ph","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-03-25T23:35:34Z","title_canon_sha256":"a229c611a00903fe9425a24ceb803d5cf9abc63386fc0857daf0ef93ddb54d02"},"schema_version":"1.0","source":{"id":"2003.11680","kind":"arxiv","version":1}},"canonical_sha256":"e38ceee0dee19a40dce5124d67636092e60a4d74f54e035219c239631b3e44b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e38ceee0dee19a40dce5124d67636092e60a4d74f54e035219c239631b3e44b9","first_computed_at":"2026-07-05T03:21:37.347595Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:21:37.347595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XZUTTGQknPeppXm6UwMGN0keZD8yxxaMtCb6HzNfeEdfom5jhforPPgIJ+HJxyGHD4sidWgIh9uvm+aPibUdDA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:21:37.348274Z","signed_message":"canonical_sha256_bytes"},"source_id":"2003.11680","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cdf0bf9ed60d10f24efe8b452870b0cadcc990645fad2f1ea06aa122e85ad726","sha256:3850c8a253a18ed7d8516dab7cfb0cc4ea2347e4eaee3f4bde9049d21a445b57"],"state_sha256":"db837b60d1561dcc605e1a94f37339876cf4011ed9c95d91419c9ff485c72daf"}