{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:ZGZLRQUVNI4N75FFPBYVIOUMWD","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":"8423f34be140d30ac13c84c1a4ede70b51f96bc8e40f2c0aea240b692a4fd4e0","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2023-03-28T12:12:07Z","title_canon_sha256":"4976e8d78e5d2952c4bed29c6ceff7514cecec995d1fc72809659a56b8fa0a34"},"schema_version":"1.0","source":{"id":"2303.15918","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.15918","created_at":"2026-07-05T06:37:57Z"},{"alias_kind":"arxiv_version","alias_value":"2303.15918v2","created_at":"2026-07-05T06:37:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.15918","created_at":"2026-07-05T06:37:57Z"},{"alias_kind":"pith_short_12","alias_value":"ZGZLRQUVNI4N","created_at":"2026-07-05T06:37:57Z"},{"alias_kind":"pith_short_16","alias_value":"ZGZLRQUVNI4N75FF","created_at":"2026-07-05T06:37:57Z"},{"alias_kind":"pith_short_8","alias_value":"ZGZLRQUV","created_at":"2026-07-05T06:37:57Z"}],"graph_snapshots":[{"event_id":"sha256:13ba0bcdfe9fd496dc54098d79ed2923831db22983b84231d0c5af46b20b2db9","target":"graph","created_at":"2026-07-05T06:37:57Z","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/2303.15918/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Hamiltonian Monte Carlo (HMC) is a Markov chain Monte Carlo method that allows to sample high dimensional probability measures. It relies on the integration of the Hamiltonian dynamics to propose a move which is then accepted or rejected thanks to a Metropolis procedure. Unbiased sampling is guaranteed by the preservation by the numerical integrators of two key properties of the Hamiltonian dynamics: volume-preservation and reversibility up to momentum reversal. For separable Hamiltonian functions, some standard explicit numerical schemes, such as the St\\\"ormer-Verlet integrator, satisfy these","authors_text":"Gabriel Stoltz, R\\'egis Santet, Tony Leli\\`evre","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2023-03-28T12:12:07Z","title":"Unbiasing Hamiltonian Monte Carlo algorithms for a general Hamiltonian function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.15918","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:c182331fe8c6503292faeb719f40d93f21c8617b4c4d29c6360bc399aea7582e","target":"record","created_at":"2026-07-05T06:37:57Z","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":"8423f34be140d30ac13c84c1a4ede70b51f96bc8e40f2c0aea240b692a4fd4e0","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2023-03-28T12:12:07Z","title_canon_sha256":"4976e8d78e5d2952c4bed29c6ceff7514cecec995d1fc72809659a56b8fa0a34"},"schema_version":"1.0","source":{"id":"2303.15918","kind":"arxiv","version":2}},"canonical_sha256":"c9b2b8c2956a38dff4a57871543a8cb0c4d4e2ea23acba7b549cc934837db727","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9b2b8c2956a38dff4a57871543a8cb0c4d4e2ea23acba7b549cc934837db727","first_computed_at":"2026-07-05T06:37:57.433191Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:37:57.433191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yjXAbQWPdnj0iih+9GtJav9DWKxTv7HBYp3CCwk6Rb4PnmOCSlQP68JFgVHrfO10+lWGWpnG6j1/YA5OUmZcBw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:37:57.433715Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.15918","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c182331fe8c6503292faeb719f40d93f21c8617b4c4d29c6360bc399aea7582e","sha256:13ba0bcdfe9fd496dc54098d79ed2923831db22983b84231d0c5af46b20b2db9"],"state_sha256":"a7bdf7e3bd15910eb9974986f59682b10c59a35928df4415e9cc327abcc93983"}