{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PH45YKFXJ5WWG4B6EXLGJZOPW7","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":"9bbe2e637cd404e6649055466f093368f07060c25e45f8f3ce719d54bae29de0","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-15T09:13:46Z","title_canon_sha256":"203091f8b01522c613ca74f488e3cb6867ee0689b8e11b384970ee67464f2582"},"schema_version":"1.0","source":{"id":"1808.05009","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.05009","created_at":"2026-05-17T23:54:39Z"},{"alias_kind":"arxiv_version","alias_value":"1808.05009v2","created_at":"2026-05-17T23:54:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.05009","created_at":"2026-05-17T23:54:39Z"},{"alias_kind":"pith_short_12","alias_value":"PH45YKFXJ5WW","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"PH45YKFXJ5WWG4B6","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"PH45YKFX","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:c16c2989b2706dc42853076bcd457ae34a2d2c1e36d886f798f1dc77a1ca3c1d","target":"graph","created_at":"2026-05-17T23:54:39Z","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 present efficient algorithms to generate a bit string in which each bit is set with arbitrary probability. By adopting a hybrid algorithm, i.e., a finite-bit density approximation with correction techniques, we achieve 3.8 times faster random bit generation than the simple algorithm for the 32-bit case and 6.8 times faster for the 64-bit case. Employing the developed algorithm, we apply the multispin coding technique to one-dimensional bond-directed percolation. The simulations are accelerated by up to a factor of 14 compared with an optimized scalar implementation. The random bit string ge","authors_text":"Hiroshi Watanabe, Naoki Kawashima, Satoshi Morita, Synge Todo","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-15T09:13:46Z","title":"Fast algorithm for generating random bit strings and multispin coding for directed percolation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.05009","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:e0a15a23de4557bb675e4dd7071840d7e9cdac41db956874cc05b5ccbacddedc","target":"record","created_at":"2026-05-17T23:54:39Z","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":"9bbe2e637cd404e6649055466f093368f07060c25e45f8f3ce719d54bae29de0","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-15T09:13:46Z","title_canon_sha256":"203091f8b01522c613ca74f488e3cb6867ee0689b8e11b384970ee67464f2582"},"schema_version":"1.0","source":{"id":"1808.05009","kind":"arxiv","version":2}},"canonical_sha256":"79f9dc28b74f6d63703e25d664e5cfb7d0b2c96d166551f8b67ef49543fa5c14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79f9dc28b74f6d63703e25d664e5cfb7d0b2c96d166551f8b67ef49543fa5c14","first_computed_at":"2026-05-17T23:54:39.357542Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:39.357542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F2FI/EaZ79uybi4wIxviFbi+0ZehiDdiu6tm62/yt6kmd5KuFSOqg8dIWAHwwLrJRPte7O6eM84eE3LYr2bADw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:39.357932Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.05009","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0a15a23de4557bb675e4dd7071840d7e9cdac41db956874cc05b5ccbacddedc","sha256:c16c2989b2706dc42853076bcd457ae34a2d2c1e36d886f798f1dc77a1ca3c1d"],"state_sha256":"672f9d6c22116b932d78809ae8ffdd5a27e007e204ad04cfaa10ff8a97b8bc8a"}