{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:CC7QR5E54SKVEO5AL2CK3NU35Y","short_pith_number":"pith:CC7QR5E5","canonical_record":{"source":{"id":"1710.09663","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2017-10-26T12:24:12Z","cross_cats_sorted":[],"title_canon_sha256":"19b5cdc1da1f0f8ba4a41edf38327015dfa11ea774102f88dc757992e0cfd746","abstract_canon_sha256":"4491e7165c4a117629976e2b82ee704007eb6e1e591451b190cf97fcb1f92d5c"},"schema_version":"1.0"},"canonical_sha256":"10bf08f49de495523ba05e84adb69bee23acc3b0f87b79a31b25baad3ddbc90a","source":{"kind":"arxiv","id":"1710.09663","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.09663","created_at":"2026-05-18T00:31:56Z"},{"alias_kind":"arxiv_version","alias_value":"1710.09663v1","created_at":"2026-05-18T00:31:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.09663","created_at":"2026-05-18T00:31:56Z"},{"alias_kind":"pith_short_12","alias_value":"CC7QR5E54SKV","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CC7QR5E54SKVEO5A","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CC7QR5E5","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:CC7QR5E54SKVEO5AL2CK3NU35Y","target":"record","payload":{"canonical_record":{"source":{"id":"1710.09663","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2017-10-26T12:24:12Z","cross_cats_sorted":[],"title_canon_sha256":"19b5cdc1da1f0f8ba4a41edf38327015dfa11ea774102f88dc757992e0cfd746","abstract_canon_sha256":"4491e7165c4a117629976e2b82ee704007eb6e1e591451b190cf97fcb1f92d5c"},"schema_version":"1.0"},"canonical_sha256":"10bf08f49de495523ba05e84adb69bee23acc3b0f87b79a31b25baad3ddbc90a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:56.692020Z","signature_b64":"DlgXnPaIvvriF3DWVNBjaT0obu/L7fasdjcErlkhBDs83HUWSjvkojzAcVxEaAPA9G4VrV9fE4v7m1D1tq0qCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10bf08f49de495523ba05e84adb69bee23acc3b0f87b79a31b25baad3ddbc90a","last_reissued_at":"2026-05-18T00:31:56.691599Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:56.691599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.09663","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:31:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y2JvyF0ugtriVR149XpoGMqpoRI6QSNohxpMGz8AFnKSGc8M8i3er1ltZL6b23TDa5ZMh0FSQNPlEyn1LPdLDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T11:13:09.340787Z"},"content_sha256":"b1ff35f47666ad8e4c2e5c4b5b94d950f25ee0b11db76fee012dd06480921e76","schema_version":"1.0","event_id":"sha256:b1ff35f47666ad8e4c2e5c4b5b94d950f25ee0b11db76fee012dd06480921e76"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:CC7QR5E54SKVEO5AL2CK3NU35Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Fast Algorithm for Solving Henderson's Mixed Model Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Jiwoong Kim","submitted_at":"2017-10-26T12:24:12Z","abstract_excerpt":"This article investigates a fast and stable method to solve Henderson's mixed model equation. The proposed algorithm is stable in that it avoids inverting a matrix of a large dimension and hence is free from the curse of dimensionality. This tactic is enabled through row operations performed on the design matrix."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.09663","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:31:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"023CNrVDwbU6iOpSJZhco9GuB4uN0JqfzWh9mDWdOYSgU9ZT5RHS0RwjomLRtlWFI1VjTevghjqHq70T6bNcBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T11:13:09.341448Z"},"content_sha256":"2de1bc47922b522c3a352cf3832de03f49fd5bea8638174a1ff3abd78e384663","schema_version":"1.0","event_id":"sha256:2de1bc47922b522c3a352cf3832de03f49fd5bea8638174a1ff3abd78e384663"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CC7QR5E54SKVEO5AL2CK3NU35Y/bundle.json","state_url":"https://pith.science/pith/CC7QR5E54SKVEO5AL2CK3NU35Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CC7QR5E54SKVEO5AL2CK3NU35Y/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-22T11:13:09Z","links":{"resolver":"https://pith.science/pith/CC7QR5E54SKVEO5AL2CK3NU35Y","bundle":"https://pith.science/pith/CC7QR5E54SKVEO5AL2CK3NU35Y/bundle.json","state":"https://pith.science/pith/CC7QR5E54SKVEO5AL2CK3NU35Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CC7QR5E54SKVEO5AL2CK3NU35Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CC7QR5E54SKVEO5AL2CK3NU35Y","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":"4491e7165c4a117629976e2b82ee704007eb6e1e591451b190cf97fcb1f92d5c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2017-10-26T12:24:12Z","title_canon_sha256":"19b5cdc1da1f0f8ba4a41edf38327015dfa11ea774102f88dc757992e0cfd746"},"schema_version":"1.0","source":{"id":"1710.09663","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.09663","created_at":"2026-05-18T00:31:56Z"},{"alias_kind":"arxiv_version","alias_value":"1710.09663v1","created_at":"2026-05-18T00:31:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.09663","created_at":"2026-05-18T00:31:56Z"},{"alias_kind":"pith_short_12","alias_value":"CC7QR5E54SKV","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CC7QR5E54SKVEO5A","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CC7QR5E5","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:2de1bc47922b522c3a352cf3832de03f49fd5bea8638174a1ff3abd78e384663","target":"graph","created_at":"2026-05-18T00:31:56Z","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":"This article investigates a fast and stable method to solve Henderson's mixed model equation. The proposed algorithm is stable in that it avoids inverting a matrix of a large dimension and hence is free from the curse of dimensionality. This tactic is enabled through row operations performed on the design matrix.","authors_text":"Jiwoong Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2017-10-26T12:24:12Z","title":"A Fast Algorithm for Solving Henderson's Mixed Model Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.09663","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:b1ff35f47666ad8e4c2e5c4b5b94d950f25ee0b11db76fee012dd06480921e76","target":"record","created_at":"2026-05-18T00:31:56Z","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":"4491e7165c4a117629976e2b82ee704007eb6e1e591451b190cf97fcb1f92d5c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2017-10-26T12:24:12Z","title_canon_sha256":"19b5cdc1da1f0f8ba4a41edf38327015dfa11ea774102f88dc757992e0cfd746"},"schema_version":"1.0","source":{"id":"1710.09663","kind":"arxiv","version":1}},"canonical_sha256":"10bf08f49de495523ba05e84adb69bee23acc3b0f87b79a31b25baad3ddbc90a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10bf08f49de495523ba05e84adb69bee23acc3b0f87b79a31b25baad3ddbc90a","first_computed_at":"2026-05-18T00:31:56.691599Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:56.691599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DlgXnPaIvvriF3DWVNBjaT0obu/L7fasdjcErlkhBDs83HUWSjvkojzAcVxEaAPA9G4VrV9fE4v7m1D1tq0qCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:56.692020Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.09663","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1ff35f47666ad8e4c2e5c4b5b94d950f25ee0b11db76fee012dd06480921e76","sha256:2de1bc47922b522c3a352cf3832de03f49fd5bea8638174a1ff3abd78e384663"],"state_sha256":"952eb687879de191c3d5751a3a4a5056e6515bdbc0d2883d41dcfc3c76da5094"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aW1VRLlfy8EO2i85AgFhHLnzJLwnIWVj2P8THr7MVHHJJGqsMkLpiJgP0/arLokP3dc/Ne2pvepo9xv9gdz3Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T11:13:09.344840Z","bundle_sha256":"7bce3717fdda64081618d7a86ac4dac45c16a81606efd231661d3e666bcafa0b"}}