{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:S5AFZVZPVGBMNUVF5DXFCS5AHR","short_pith_number":"pith:S5AFZVZP","schema_version":"1.0","canonical_sha256":"97405cd72fa982c6d2a5e8ee514ba03c74d516158cf69605567da55904eff635","source":{"kind":"arxiv","id":"1812.05269","version":3},"attestation_state":"computed","paper":{"title":"Transforming Generalized Ising Model into Boltzmann Machine","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Hosho Katsura, Nobuyuki Yoshioka, Yutaka Akagi","submitted_at":"2018-12-13T05:31:58Z","abstract_excerpt":"We find an exact mapping from the generalized Ising models with many-spin interactions to equivalent Boltzmann machines, i.e., the models with only two-spin interactions between physical and auxiliary binary variables accompanied by local external fields. More precisely, the appropriate combination of the algebraic transformations, namely the star-triangle and decoration-iteration transformations, allows one to express the model in terms of fewer-spin interactions at the expense of the degrees of freedom. Furthermore, the benefit of the mapping in Monte Carlo simulations is discussed. In parti"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1812.05269","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-12-13T05:31:58Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"9603523dc78a1e881499882d1aa13a986c4fee96ae18dcbc07caebc8064a88e3","abstract_canon_sha256":"3e73a77a1e7c599889cf049237498587fa20e3bcadb3cc3326c6e44896d06df6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:30.564223Z","signature_b64":"O2czPlWOn9hm5LkbhOr5o1Pkk8ba0ZZ3Xxe1fXYse/Taukacm+5W8h/sN5vfVJJmWDwrSOstM7AW8LgE3lpsBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97405cd72fa982c6d2a5e8ee514ba03c74d516158cf69605567da55904eff635","last_reissued_at":"2026-05-17T23:51:30.563846Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:30.563846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Transforming Generalized Ising Model into Boltzmann Machine","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Hosho Katsura, Nobuyuki Yoshioka, Yutaka Akagi","submitted_at":"2018-12-13T05:31:58Z","abstract_excerpt":"We find an exact mapping from the generalized Ising models with many-spin interactions to equivalent Boltzmann machines, i.e., the models with only two-spin interactions between physical and auxiliary binary variables accompanied by local external fields. More precisely, the appropriate combination of the algebraic transformations, namely the star-triangle and decoration-iteration transformations, allows one to express the model in terms of fewer-spin interactions at the expense of the degrees of freedom. Furthermore, the benefit of the mapping in Monte Carlo simulations is discussed. In parti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.05269","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1812.05269","created_at":"2026-05-17T23:51:30.563905+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.05269v3","created_at":"2026-05-17T23:51:30.563905+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.05269","created_at":"2026-05-17T23:51:30.563905+00:00"},{"alias_kind":"pith_short_12","alias_value":"S5AFZVZPVGBM","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_16","alias_value":"S5AFZVZPVGBMNUVF","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_8","alias_value":"S5AFZVZP","created_at":"2026-05-18T12:32:50.500415+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/S5AFZVZPVGBMNUVF5DXFCS5AHR","json":"https://pith.science/pith/S5AFZVZPVGBMNUVF5DXFCS5AHR.json","graph_json":"https://pith.science/api/pith-number/S5AFZVZPVGBMNUVF5DXFCS5AHR/graph.json","events_json":"https://pith.science/api/pith-number/S5AFZVZPVGBMNUVF5DXFCS5AHR/events.json","paper":"https://pith.science/paper/S5AFZVZP"},"agent_actions":{"view_html":"https://pith.science/pith/S5AFZVZPVGBMNUVF5DXFCS5AHR","download_json":"https://pith.science/pith/S5AFZVZPVGBMNUVF5DXFCS5AHR.json","view_paper":"https://pith.science/paper/S5AFZVZP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.05269&json=true","fetch_graph":"https://pith.science/api/pith-number/S5AFZVZPVGBMNUVF5DXFCS5AHR/graph.json","fetch_events":"https://pith.science/api/pith-number/S5AFZVZPVGBMNUVF5DXFCS5AHR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S5AFZVZPVGBMNUVF5DXFCS5AHR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S5AFZVZPVGBMNUVF5DXFCS5AHR/action/storage_attestation","attest_author":"https://pith.science/pith/S5AFZVZPVGBMNUVF5DXFCS5AHR/action/author_attestation","sign_citation":"https://pith.science/pith/S5AFZVZPVGBMNUVF5DXFCS5AHR/action/citation_signature","submit_replication":"https://pith.science/pith/S5AFZVZPVGBMNUVF5DXFCS5AHR/action/replication_record"}},"created_at":"2026-05-17T23:51:30.563905+00:00","updated_at":"2026-05-17T23:51:30.563905+00:00"}