{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:L2NA5QYJVMYTXLYVFTE7PZB3LN","short_pith_number":"pith:L2NA5QYJ","schema_version":"1.0","canonical_sha256":"5e9a0ec309ab313baf152cc9f7e43b5b7206d9f81c823ac4418de5e0148bca88","source":{"kind":"arxiv","id":"1202.2468","version":3},"attestation_state":"computed","paper":{"title":"Optimal State-Space Reduction for Pedigree Hidden Markov Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM"],"primary_cat":"math.PR","authors_text":"Bonnie Kirkpatrick, Kay Kirkpatrick","submitted_at":"2012-02-11T20:20:47Z","abstract_excerpt":"To analyze whole-genome genetic data inherited in families, the likelihood is typically obtained from a Hidden Markov Model (HMM) having a state space of 2^n hidden states where n is the number of meioses or edges in the pedigree. There have been several attempts to speed up this calculation by reducing the state-space of the HMM. One of these methods has been automated in a calculation that is more efficient than the naive HMM calculation; however, that method treats a special case and the efficiency gain is available for only those rare pedigrees containing long chains of single-child lineag"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1202.2468","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-02-11T20:20:47Z","cross_cats_sorted":["cs.DM"],"title_canon_sha256":"7fa7804b118f15b8f9b477a1fe466b94cb19139615d59c259da385212c00cae1","abstract_canon_sha256":"85ad81a3a5b22753c21edb2851fa8631f3a8536bdc3f1f9a04b211e2582dbf9b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:11:24.205230Z","signature_b64":"xkWXc8gK2v2MPqQZlptblbsc3gr69ynqljkNpDTEPy8lfDVl49OqrKQNMDDY4bTAwVaveswxw3Xz+PTdEdTiCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e9a0ec309ab313baf152cc9f7e43b5b7206d9f81c823ac4418de5e0148bca88","last_reissued_at":"2026-05-18T03:11:24.204425Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:11:24.204425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimal State-Space Reduction for Pedigree Hidden Markov Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM"],"primary_cat":"math.PR","authors_text":"Bonnie Kirkpatrick, Kay Kirkpatrick","submitted_at":"2012-02-11T20:20:47Z","abstract_excerpt":"To analyze whole-genome genetic data inherited in families, the likelihood is typically obtained from a Hidden Markov Model (HMM) having a state space of 2^n hidden states where n is the number of meioses or edges in the pedigree. There have been several attempts to speed up this calculation by reducing the state-space of the HMM. One of these methods has been automated in a calculation that is more efficient than the naive HMM calculation; however, that method treats a special case and the efficiency gain is available for only those rare pedigrees containing long chains of single-child lineag"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2468","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1202.2468","created_at":"2026-05-18T03:11:24.204552+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.2468v3","created_at":"2026-05-18T03:11:24.204552+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.2468","created_at":"2026-05-18T03:11:24.204552+00:00"},{"alias_kind":"pith_short_12","alias_value":"L2NA5QYJVMYT","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"L2NA5QYJVMYTXLYV","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"L2NA5QYJ","created_at":"2026-05-18T12:27:11.947152+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/L2NA5QYJVMYTXLYVFTE7PZB3LN","json":"https://pith.science/pith/L2NA5QYJVMYTXLYVFTE7PZB3LN.json","graph_json":"https://pith.science/api/pith-number/L2NA5QYJVMYTXLYVFTE7PZB3LN/graph.json","events_json":"https://pith.science/api/pith-number/L2NA5QYJVMYTXLYVFTE7PZB3LN/events.json","paper":"https://pith.science/paper/L2NA5QYJ"},"agent_actions":{"view_html":"https://pith.science/pith/L2NA5QYJVMYTXLYVFTE7PZB3LN","download_json":"https://pith.science/pith/L2NA5QYJVMYTXLYVFTE7PZB3LN.json","view_paper":"https://pith.science/paper/L2NA5QYJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.2468&json=true","fetch_graph":"https://pith.science/api/pith-number/L2NA5QYJVMYTXLYVFTE7PZB3LN/graph.json","fetch_events":"https://pith.science/api/pith-number/L2NA5QYJVMYTXLYVFTE7PZB3LN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L2NA5QYJVMYTXLYVFTE7PZB3LN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L2NA5QYJVMYTXLYVFTE7PZB3LN/action/storage_attestation","attest_author":"https://pith.science/pith/L2NA5QYJVMYTXLYVFTE7PZB3LN/action/author_attestation","sign_citation":"https://pith.science/pith/L2NA5QYJVMYTXLYVFTE7PZB3LN/action/citation_signature","submit_replication":"https://pith.science/pith/L2NA5QYJVMYTXLYVFTE7PZB3LN/action/replication_record"}},"created_at":"2026-05-18T03:11:24.204552+00:00","updated_at":"2026-05-18T03:11:24.204552+00:00"}