{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NCHZYPXVSDBWMMVFQ3433UHANG","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":"abe27d0ac1606c9c6e747edbed522ae9b9701ffd9cc11ed0a96c66b4cafa1607","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-06-02T22:13:30Z","title_canon_sha256":"e0d6eafc27d4ef56d66573188d74b91792b39040b404b3624e4075a6da4c8cc3"},"schema_version":"1.0","source":{"id":"1606.00920","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.00920","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"arxiv_version","alias_value":"1606.00920v2","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.00920","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"pith_short_12","alias_value":"NCHZYPXVSDBW","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"NCHZYPXVSDBWMMVF","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"NCHZYPXV","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:680c2640b971504f38686f42230b22bee62c78548171243d96a8da65868cdb95","target":"graph","created_at":"2026-05-18T00:48:09Z","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":"The precise description of quantum nuclear fluctuations in atomistic modelling is possible by employing path integral techniques, which involve a considerable computational overhead due to the need of simulating multiple replicas of the system. Many approaches have been suggested to reduce the required number of replicas. Among these, high-order factorizations of the Boltzmann operator are particularly attractive for high-precision and low-temperature scenarios. Unfortunately, to date several technical challenges have prevented a widespread use of these approaches to study nuclear quantum effe","authors_text":"J\\\"org Behler, Michele Ceriotti, Venkat Kapil","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-06-02T22:13:30Z","title":"High Order Path Integrals Made Easy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00920","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":"sha256:8aa5a4ad862eca0217f806b7ddc7655e1ac7508d1cee381bf9df715149d47d04","target":"record","created_at":"2026-05-18T00:48:09Z","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":"abe27d0ac1606c9c6e747edbed522ae9b9701ffd9cc11ed0a96c66b4cafa1607","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-06-02T22:13:30Z","title_canon_sha256":"e0d6eafc27d4ef56d66573188d74b91792b39040b404b3624e4075a6da4c8cc3"},"schema_version":"1.0","source":{"id":"1606.00920","kind":"arxiv","version":2}},"canonical_sha256":"688f9c3ef590c36632a586f9bdd0e069b4f91dcceec0d8c728e5394613f5785a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"688f9c3ef590c36632a586f9bdd0e069b4f91dcceec0d8c728e5394613f5785a","first_computed_at":"2026-05-18T00:48:09.831851Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:09.831851Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vle9lFI74w0Fmzv04lc9pMCEiYUqedaG3yAmfkzYeiQ1Kvo7IMbDe9fng/hYnUZ75FCkxt5Cf/0I3QSG5Ie/CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:09.832516Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.00920","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8aa5a4ad862eca0217f806b7ddc7655e1ac7508d1cee381bf9df715149d47d04","sha256:680c2640b971504f38686f42230b22bee62c78548171243d96a8da65868cdb95"],"state_sha256":"048fb9aef1ac0c19b72dd222dee2f2fd363b323629e32df159b9d974a1ab76d1"}