{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:DMS7DAY65BWJ2H7KHFFAFLSZYV","short_pith_number":"pith:DMS7DAY6","canonical_record":{"source":{"id":"0710.1177","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2007-10-05T10:33:28Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"ccf34503f078b14c5182b2562d427b7d7e0268d983285173f21f8187343ff348","abstract_canon_sha256":"3f5794c9ea64b3d852adc012841ab1fef88a6a21701d2271d4c9bba27ee9520b"},"schema_version":"1.0"},"canonical_sha256":"1b25f1831ee86c9d1fea394a02ae59c552c16d68ebba053480f150974fd665f5","source":{"kind":"arxiv","id":"0710.1177","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:DMS7DAY65BWJ2H7KHFFAFLSZYV","target":"record","payload":{"canonical_record":{"source":{"id":"0710.1177","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2007-10-05T10:33:28Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"ccf34503f078b14c5182b2562d427b7d7e0268d983285173f21f8187343ff348","abstract_canon_sha256":"3f5794c9ea64b3d852adc012841ab1fef88a6a21701d2271d4c9bba27ee9520b"},"schema_version":"1.0"},"canonical_sha256":"1b25f1831ee86c9d1fea394a02ae59c552c16d68ebba053480f150974fd665f5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:10.779338Z","signature_b64":"oZMsL+m5eVIId+jov0g46NwpyGWmTedG0nhymSEp/VHGOpxqBgop8YemJNwHmi1Gq4w1cWlYT8oexVgOkV1uAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b25f1831ee86c9d1fea394a02ae59c552c16d68ebba053480f150974fd665f5","last_reissued_at":"2026-05-18T02:16:10.778844Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:10.778844Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0710.1177","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:16:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uoe4OkBKk7Kl+CMn/kzku7r4LbHzyH23ZoCoKqcUB7i6+NwLOvnQjLqVPQ9pXKTNlNMkYizpILTUz9RH462XDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T02:51:20.823714Z"},"content_sha256":"43f4fafd4b7ddd6f59278213d877a5bc752fc768035bd0a7351a8d6eff5a0ab0","schema_version":"1.0","event_id":"sha256:43f4fafd4b7ddd6f59278213d877a5bc752fc768035bd0a7351a8d6eff5a0ab0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:DMS7DAY65BWJ2H7KHFFAFLSZYV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic Cutoff Method for Long-Range Interacting Systems","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Fumitaka Matsubara, Munetaka Sasaki","submitted_at":"2007-10-05T10:33:28Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.1177","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:16:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XKMfcrt5JxEEFjkslgMUE3+SOoj/nCuKEGUojI+gpS/ZH0EQkTzH/sdVJC/uDMcLQajW3AWlvu8y8WrV3JBEDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T02:51:20.824058Z"},"content_sha256":"0c765c04c951168c6c7952730fedee51517e0bc65e5600ab9e55e3cffbd21676","schema_version":"1.0","event_id":"sha256:0c765c04c951168c6c7952730fedee51517e0bc65e5600ab9e55e3cffbd21676"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DMS7DAY65BWJ2H7KHFFAFLSZYV/bundle.json","state_url":"https://pith.science/pith/DMS7DAY65BWJ2H7KHFFAFLSZYV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DMS7DAY65BWJ2H7KHFFAFLSZYV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-20T02:51:20Z","links":{"resolver":"https://pith.science/pith/DMS7DAY65BWJ2H7KHFFAFLSZYV","bundle":"https://pith.science/pith/DMS7DAY65BWJ2H7KHFFAFLSZYV/bundle.json","state":"https://pith.science/pith/DMS7DAY65BWJ2H7KHFFAFLSZYV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DMS7DAY65BWJ2H7KHFFAFLSZYV/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cQe+m+oXgEs17gAI47DtNjDFOr9KPKPH+/QREJJaGuCv2Yc9KLhdvQbjKZ+NG2F/noB0goEGOwgfhlhQi7hTCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T02:51:20.826069Z","bundle_sha256":"c59d09c4d99de7d84b7008e1e57c95b30f7129dee53fe3df647ce055f7ec9103"}}