{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4ITAOOEDK66VB454OR4KWPWYPW","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":"eeb2609a5708821d9952cb8a85ab84aad4aeed7562a892e9de5ce4699ab7276b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-02-25T01:20:42Z","title_canon_sha256":"a6e7117ea237b06e92589cf04e91d4c4c5f5453e63b021cf7e3524d64853b34b"},"schema_version":"1.0","source":{"id":"1702.07814","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07814","created_at":"2026-05-18T00:41:51Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07814v2","created_at":"2026-05-18T00:41:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07814","created_at":"2026-05-18T00:41:51Z"},{"alias_kind":"pith_short_12","alias_value":"4ITAOOEDK66V","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4ITAOOEDK66VB454","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4ITAOOED","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:c3fdcd4d6ce43babdbdab9fa621cb7860872c6ec733ec519591bd24aa17370f3","target":"graph","created_at":"2026-05-18T00:41:51Z","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":"Hamiltonian Monte Carlo (HMC) is an efficient and effective means of sampling posterior distributions on Euclidean space, which has been extended to manifolds with boundary. However, some applications require an extension to more general spaces. For example, phylogenetic (evolutionary) trees are defined in terms of both a discrete graph and associated continuous parameters; although one can represent these aspects using a single connected space, this rather complex space is not suitable for existing HMC algorithms. In this paper, we develop Probabilistic Path HMC (PPHMC) as a first step to sam","authors_text":"Arman Bilge, Cheng Zhang, Frederick A. Matsen IV, Vu Dinh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-02-25T01:20:42Z","title":"Probabilistic Path Hamiltonian Monte Carlo"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07814","kind":"arxiv","version":2},"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":"sha256:1a48b9d9cb8faf736cee17f49613ba84876b121724926e860a8ddeb2768f0562","target":"record","created_at":"2026-05-18T00:41:51Z","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":"eeb2609a5708821d9952cb8a85ab84aad4aeed7562a892e9de5ce4699ab7276b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-02-25T01:20:42Z","title_canon_sha256":"a6e7117ea237b06e92589cf04e91d4c4c5f5453e63b021cf7e3524d64853b34b"},"schema_version":"1.0","source":{"id":"1702.07814","kind":"arxiv","version":2}},"canonical_sha256":"e22607388357bd50f3bc7478ab3ed87d957d529322dc3dba739a4cb9f1e9904b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e22607388357bd50f3bc7478ab3ed87d957d529322dc3dba739a4cb9f1e9904b","first_computed_at":"2026-05-18T00:41:51.051734Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:51.051734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PfKE/YNy/qPNTA54HbvLZ+fhJIss2CI/12WWhR3nuCOgPiGQF4T72AvYJ/xivO6nwzOuokZOqeljUYQxrXAQAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:51.052280Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.07814","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a48b9d9cb8faf736cee17f49613ba84876b121724926e860a8ddeb2768f0562","sha256:c3fdcd4d6ce43babdbdab9fa621cb7860872c6ec733ec519591bd24aa17370f3"],"state_sha256":"24d99313548cf6a7790ded76c090017e2458156eaa22f612b6e914b670c9517b"}