{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:YZXOMFJ2YMCVGHQQMF7B7HHVI5","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":"cc291ac0c00d3a007478fc1be479cd61323fffc7df876a93e432b4bc67835d39","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2021-04-11T23:06:17Z","title_canon_sha256":"be39e11d0bc44cddf1894c476eadcefb5e8382911de68c0aae25a33bc4c77f57"},"schema_version":"1.0","source":{"id":"2104.05134","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.05134","created_at":"2026-07-05T02:31:08Z"},{"alias_kind":"arxiv_version","alias_value":"2104.05134v1","created_at":"2026-07-05T02:31:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.05134","created_at":"2026-07-05T02:31:08Z"},{"alias_kind":"pith_short_12","alias_value":"YZXOMFJ2YMCV","created_at":"2026-07-05T02:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"YZXOMFJ2YMCVGHQQ","created_at":"2026-07-05T02:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"YZXOMFJ2","created_at":"2026-07-05T02:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:8db0133fe8f1900a276771f86ded3b9c5950a709d5cca9ffaa2b08ee109e9a87","target":"graph","created_at":"2026-07-05T02:31:08Z","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/2104.05134/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Hamiltonian Monte Carlo (HMC) is a popular sampling method in Bayesian inference. Recently, Heng & Jacob (2019) studied Metropolis HMC with couplings for unbiased Monte Carlo estimation, establishing a generic parallelizable scheme for HMC. However, in practice a different HMC method, multinomial HMC, is considered as the go-to method, e.g. as part of the no-U-turn sampler. In multinomial HMC, proposed states are not limited to end-points as in Metropolis HMC; instead points along the entire trajectory can be proposed. In this paper, we establish couplings for multinomial HMC, based on optimal","authors_text":"Charles Sutton, Hong Ge, Kai Xu, Tor Erlend Fjelde","cross_cats":["stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2021-04-11T23:06:17Z","title":"Couplings for Multinomial Hamiltonian Monte Carlo"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.05134","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":"sha256:9fca04b5d7431fda97fcda2096a055dab06bc5f84b89db3e8da56beb61e0cc1e","target":"record","created_at":"2026-07-05T02:31:08Z","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":"cc291ac0c00d3a007478fc1be479cd61323fffc7df876a93e432b4bc67835d39","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2021-04-11T23:06:17Z","title_canon_sha256":"be39e11d0bc44cddf1894c476eadcefb5e8382911de68c0aae25a33bc4c77f57"},"schema_version":"1.0","source":{"id":"2104.05134","kind":"arxiv","version":1}},"canonical_sha256":"c66ee6153ac305531e10617e1f9cf54743a22a9451e83247602aafa05e78ed48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c66ee6153ac305531e10617e1f9cf54743a22a9451e83247602aafa05e78ed48","first_computed_at":"2026-07-05T02:31:08.615840Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:31:08.615840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ogOtnVuNMCV2N2xmFp/DgMXbTWdHjXh8ZugBR625vHxEZ5BUEGGJmYRChUut3za2/9MAVamnMCqR7dR/jmfsCg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:31:08.616482Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.05134","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9fca04b5d7431fda97fcda2096a055dab06bc5f84b89db3e8da56beb61e0cc1e","sha256:8db0133fe8f1900a276771f86ded3b9c5950a709d5cca9ffaa2b08ee109e9a87"],"state_sha256":"5ce741520512f434ea5c3b18d1fda72178a420001282505de4534ec758d4de64"}