{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RTZZZQQRPXU236PI7ZDCR7WDRA","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":"366cf5566057f9189f82b712909e51a210844a9b2b148b71f4933221900f98cb","cross_cats_sorted":["cond-mat.mtrl-sci","hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-03-04T08:09:14Z","title_canon_sha256":"d92e7070f62c4ce6e6632ca804b2502db6bf8a207a1d56364533efe6eec76ec0"},"schema_version":"1.0","source":{"id":"1403.0711","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.0711","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"arxiv_version","alias_value":"1403.0711v2","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0711","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"pith_short_12","alias_value":"RTZZZQQRPXU2","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RTZZZQQRPXU236PI","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RTZZZQQR","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:df4b7bb1e4cbd9ae1dffec0f290b2986f2d3f1949ec01f8f9739d6b857c7a8d2","target":"graph","created_at":"2026-05-18T02:51:48Z","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":"We represent N-body Coulomb energy in a localized form to achieve massive parallelism. It is a well-known fact that Green's functions can be written as path integrals of field theory. Since two-body Coulomb potential is a Green's function of Poisson equations, it reduces to a path integral of free scalar field theory with three spatial dimensions. This means that N-body one also reduces to a path integral. We discretize real space with a cubic lattice and evaluate the obtained multiple integrals approximately with the Markov-chain Monte Carlo method.","authors_text":"Haruki Nakamura, Junichi Higo, Takanori Sugihara","cross_cats":["cond-mat.mtrl-sci","hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-03-04T08:09:14Z","title":"Local representation of N-body Coulomb energy with path integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0711","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:b3110573f7043999d6720023ae9268fa33c4ce2f0aa7a3cace8981a4707e9e13","target":"record","created_at":"2026-05-18T02:51:48Z","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":"366cf5566057f9189f82b712909e51a210844a9b2b148b71f4933221900f98cb","cross_cats_sorted":["cond-mat.mtrl-sci","hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-03-04T08:09:14Z","title_canon_sha256":"d92e7070f62c4ce6e6632ca804b2502db6bf8a207a1d56364533efe6eec76ec0"},"schema_version":"1.0","source":{"id":"1403.0711","kind":"arxiv","version":2}},"canonical_sha256":"8cf39cc2117de9adf9e8fe4628fec3883e0a184cbe9b0a6ff15faf99987c8991","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8cf39cc2117de9adf9e8fe4628fec3883e0a184cbe9b0a6ff15faf99987c8991","first_computed_at":"2026-05-18T02:51:48.344665Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:48.344665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B/yif3SYPeLDXoKijPutprgEdYdZ1MBrMD7lY28G1Kurp9Sf30f2bK8uGzVE6NIONo/a39Ia4NxJah/p9+SvBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:48.345258Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.0711","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3110573f7043999d6720023ae9268fa33c4ce2f0aa7a3cace8981a4707e9e13","sha256:df4b7bb1e4cbd9ae1dffec0f290b2986f2d3f1949ec01f8f9739d6b857c7a8d2"],"state_sha256":"0c31de15b3c12c5ab00dac6dff0dc2ba7403e52eba969c2fb164241601ea5b6f"}