{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:FGQLO4GFZPL4ILUACIFHOVGHU4","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":"d8fb57df4e3a6a16429698a2060c3d7b6b14e2bc9253057cc3063b362e8682ea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2020-10-04T12:02:35Z","title_canon_sha256":"1fce8fb42c36f0fc4467f9232e274a194608b76d5d6c467902e98514b240689e"},"schema_version":"1.0","source":{"id":"2010.01559","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.01559","created_at":"2026-07-05T02:23:58Z"},{"alias_kind":"arxiv_version","alias_value":"2010.01559v2","created_at":"2026-07-05T02:23:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.01559","created_at":"2026-07-05T02:23:58Z"},{"alias_kind":"pith_short_12","alias_value":"FGQLO4GFZPL4","created_at":"2026-07-05T02:23:58Z"},{"alias_kind":"pith_short_16","alias_value":"FGQLO4GFZPL4ILUA","created_at":"2026-07-05T02:23:58Z"},{"alias_kind":"pith_short_8","alias_value":"FGQLO4GF","created_at":"2026-07-05T02:23:58Z"}],"graph_snapshots":[{"event_id":"sha256:0558b14d1d6052836d95c07f6ec657b11b06cd49097402905173c89fb16d2ae2","target":"graph","created_at":"2026-07-05T02:23:58Z","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/2010.01559/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a random batch Ewald (RBE) method for molecular dynamics simulations of particle systems with long-range Coulomb interactions, which achieves an $O(N)$ complexity in each step of simulating the $N$-body systems. The RBE method is based on the Ewald splitting for the Coulomb kernel with a random \"mini-batch\" type technique introduced to speed up the summation of the Fourier series for the long-range part of the splitting. Importance sampling is employed to reduce the induced force variance by taking advantage of the fast decay property of the Fourier coefficients. The stochastic appr","authors_text":"Lei Li, Shi Jin, Yue Zhao, Zhenli Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2020-10-04T12:02:35Z","title":"A random batch Ewald method for particle systems with Coulomb interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.01559","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:bdd451dc5538b26a1c18ce2b1c244fbc5eba09add561babb89865ba68410a7fa","target":"record","created_at":"2026-07-05T02:23:58Z","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":"d8fb57df4e3a6a16429698a2060c3d7b6b14e2bc9253057cc3063b362e8682ea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2020-10-04T12:02:35Z","title_canon_sha256":"1fce8fb42c36f0fc4467f9232e274a194608b76d5d6c467902e98514b240689e"},"schema_version":"1.0","source":{"id":"2010.01559","kind":"arxiv","version":2}},"canonical_sha256":"29a0b770c5cbd7c42e80120a7754c7a72b162feaecd84efbc6115f680c6dabbe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29a0b770c5cbd7c42e80120a7754c7a72b162feaecd84efbc6115f680c6dabbe","first_computed_at":"2026-07-05T02:23:58.755084Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:23:58.755084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mfGfimuHBzIl3xMACR8qLV2RzSbHQPg9WptMxKyv1UxW48F/8FZnEnuDG1W1uY6qzQ+1OjzF58oB+YHZPEPYDA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:23:58.755538Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.01559","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bdd451dc5538b26a1c18ce2b1c244fbc5eba09add561babb89865ba68410a7fa","sha256:0558b14d1d6052836d95c07f6ec657b11b06cd49097402905173c89fb16d2ae2"],"state_sha256":"064d67cb0d3279951e278a5e3a4f17c6de1f5211dd43287f17138136927bcc33"}