{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:B6M6JMTFBNMMOEIIJS5W65DNFY","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":"a2367922a50cbdae6d6d554cd3fffa2a366bff1671fc92aaaab86ac167006c42","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-10-28T22:10:26Z","title_canon_sha256":"b72336f302bfa9050779c63687cd272059e558acc43e97ee7eda88ee3140db5f"},"schema_version":"1.0","source":{"id":"1810.11893","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.11893","created_at":"2026-05-18T00:02:07Z"},{"alias_kind":"arxiv_version","alias_value":"1810.11893v1","created_at":"2026-05-18T00:02:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.11893","created_at":"2026-05-18T00:02:07Z"},{"alias_kind":"pith_short_12","alias_value":"B6M6JMTFBNMM","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"B6M6JMTFBNMMOEII","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"B6M6JMTF","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:4f6bf0e13f4854c52bcd813fabc71e73847951831b33ae53b397cd2e77c77a8f","target":"graph","created_at":"2026-05-18T00:02:07Z","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 technical report presents pseudo-code for a Riemannian manifold Hamiltonian Monte Carlo (RMHMC) method to efficiently simulate samples from $N$-dimensional posterior distributions $p(x|y)$, where $x \\in R^N$ is drawn from a Gaussian Process (GP) prior, and observations $y_n$ are independent given $x_n$. Sufficient technical and algorithmic details are provided for the implementation of RMHMC for distributions arising from GP priors.","authors_text":"Marco Fraccaro, Ulrich Paquet","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-10-28T22:10:26Z","title":"An Efficient Implementation of Riemannian Manifold Hamiltonian Monte Carlo for Gaussian Process Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.11893","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":"sha256:8e560c3bbb1c668327d82d4fdc41c38a3cfc24c2f939f215f919d61ab0949e46","target":"record","created_at":"2026-05-18T00:02:07Z","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":"a2367922a50cbdae6d6d554cd3fffa2a366bff1671fc92aaaab86ac167006c42","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-10-28T22:10:26Z","title_canon_sha256":"b72336f302bfa9050779c63687cd272059e558acc43e97ee7eda88ee3140db5f"},"schema_version":"1.0","source":{"id":"1810.11893","kind":"arxiv","version":1}},"canonical_sha256":"0f99e4b2650b58c711084cbb6f746d2e0768f7c05eea605932818e4e4949cf4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f99e4b2650b58c711084cbb6f746d2e0768f7c05eea605932818e4e4949cf4e","first_computed_at":"2026-05-18T00:02:07.124994Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:07.124994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZZod7Pc+rw6kiMp+F+i9j2IGNwJPYzaNSOPzzlkRwNQH0loTBJ00xWrsVn52+80uQyBuXqZHLS2ebftics5VCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:07.125751Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.11893","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e560c3bbb1c668327d82d4fdc41c38a3cfc24c2f939f215f919d61ab0949e46","sha256:4f6bf0e13f4854c52bcd813fabc71e73847951831b33ae53b397cd2e77c77a8f"],"state_sha256":"3443cc99f6b460254e9f3cdf1df41199fba6cd0c433ebad64b47516a69a3569e"}