{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:DMS7DAY65BWJ2H7KHFFAFLSZYV","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":"3f5794c9ea64b3d852adc012841ab1fef88a6a21701d2271d4c9bba27ee9520b","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2007-10-05T10:33:28Z","title_canon_sha256":"ccf34503f078b14c5182b2562d427b7d7e0268d983285173f21f8187343ff348"},"schema_version":"1.0","source":{"id":"0710.1177","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.1177","created_at":"2026-05-18T02:16:10Z"},{"alias_kind":"arxiv_version","alias_value":"0710.1177v2","created_at":"2026-05-18T02:16:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.1177","created_at":"2026-05-18T02:16:10Z"},{"alias_kind":"pith_short_12","alias_value":"DMS7DAY65BWJ","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"DMS7DAY65BWJ2H7K","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"DMS7DAY6","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:0c765c04c951168c6c7952730fedee51517e0bc65e5600ab9e55e3cffbd21676","target":"graph","created_at":"2026-05-18T02:16:10Z","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":"A new Monte-Carlo method for long-range interacting systems is presented. This method consists of eliminating interactions stochastically with the detailed balance condition satisfied. When a pairwise interaction $V_{ij}$ of a $N$-particle system decreases with the distance as $r_{ij}^{-\\alpha}$, computational time per one Monte Carlo step is ${\\cal O}(N)$ for $\\alpha \\ge d$ and ${\\cal O}(N^{2-\\alpha/d})$ for $\\alpha < d$, where $d$ is the spatial dimension. We apply the method to a two-dimensional magnetic dipolar system. The method enables us to treat a huge system of $256^2$ spins with reas","authors_text":"Fumitaka Matsubara, Munetaka Sasaki","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2007-10-05T10:33:28Z","title":"Stochastic Cutoff Method for Long-Range Interacting Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.1177","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":"sha256:43f4fafd4b7ddd6f59278213d877a5bc752fc768035bd0a7351a8d6eff5a0ab0","target":"record","created_at":"2026-05-18T02:16:10Z","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":"3f5794c9ea64b3d852adc012841ab1fef88a6a21701d2271d4c9bba27ee9520b","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2007-10-05T10:33:28Z","title_canon_sha256":"ccf34503f078b14c5182b2562d427b7d7e0268d983285173f21f8187343ff348"},"schema_version":"1.0","source":{"id":"0710.1177","kind":"arxiv","version":2}},"canonical_sha256":"1b25f1831ee86c9d1fea394a02ae59c552c16d68ebba053480f150974fd665f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b25f1831ee86c9d1fea394a02ae59c552c16d68ebba053480f150974fd665f5","first_computed_at":"2026-05-18T02:16:10.778844Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:10.778844Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oZMsL+m5eVIId+jov0g46NwpyGWmTedG0nhymSEp/VHGOpxqBgop8YemJNwHmi1Gq4w1cWlYT8oexVgOkV1uAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:10.779338Z","signed_message":"canonical_sha256_bytes"},"source_id":"0710.1177","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43f4fafd4b7ddd6f59278213d877a5bc752fc768035bd0a7351a8d6eff5a0ab0","sha256:0c765c04c951168c6c7952730fedee51517e0bc65e5600ab9e55e3cffbd21676"],"state_sha256":"6d320c513eb435a1b1fdc4a823b2d99acee67f67376a63b0a50653c637b61d25"}