{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:S5AFZVZPVGBMNUVF5DXFCS5AHR","short_pith_number":"pith:S5AFZVZP","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"},"canonical_sha256":"97405cd72fa982c6d2a5e8ee514ba03c74d516158cf69605567da55904eff635","source":{"kind":"arxiv","id":"1812.05269","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.05269","created_at":"2026-05-17T23:51:30Z"},{"alias_kind":"arxiv_version","alias_value":"1812.05269v3","created_at":"2026-05-17T23:51:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.05269","created_at":"2026-05-17T23:51:30Z"},{"alias_kind":"pith_short_12","alias_value":"S5AFZVZPVGBM","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"S5AFZVZPVGBMNUVF","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"S5AFZVZP","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:S5AFZVZPVGBMNUVF5DXFCS5AHR","target":"record","payload":{"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"},"canonical_sha256":"97405cd72fa982c6d2a5e8ee514ba03c74d516158cf69605567da55904eff635","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"},"source_kind":"arxiv","source_id":"1812.05269","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:51:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zywI/YAPErcdhSvf/h+pvoUPJxyic9jsCfK06n1xou26tEsH4sxf8E4uv4z5ohmPMlW9cpBUE/WTUurQ5K4BDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:54:56.374045Z"},"content_sha256":"76e920e2d269b8816037c9f47292486b2050fa788b5bedd916023b0ff2930301","schema_version":"1.0","event_id":"sha256:76e920e2d269b8816037c9f47292486b2050fa788b5bedd916023b0ff2930301"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:S5AFZVZPVGBMNUVF5DXFCS5AHR","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:51:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EEX5MuUTB3ZgsUQekVrDom2H5VSYfdDzS9X3zWnHLgRRJ/sxNAdvQZhe38gjbrPWaEhIu/VYrtGAFHBXLKX8DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:54:56.374438Z"},"content_sha256":"c7c186a7c584be17812806e9a86d8baa1db959a6bb355d4566e0b95d0756aa5b","schema_version":"1.0","event_id":"sha256:c7c186a7c584be17812806e9a86d8baa1db959a6bb355d4566e0b95d0756aa5b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S5AFZVZPVGBMNUVF5DXFCS5AHR/bundle.json","state_url":"https://pith.science/pith/S5AFZVZPVGBMNUVF5DXFCS5AHR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S5AFZVZPVGBMNUVF5DXFCS5AHR/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":"2026-05-30T08:54:56Z","links":{"resolver":"https://pith.science/pith/S5AFZVZPVGBMNUVF5DXFCS5AHR","bundle":"https://pith.science/pith/S5AFZVZPVGBMNUVF5DXFCS5AHR/bundle.json","state":"https://pith.science/pith/S5AFZVZPVGBMNUVF5DXFCS5AHR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S5AFZVZPVGBMNUVF5DXFCS5AHR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:S5AFZVZPVGBMNUVF5DXFCS5AHR","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":"3e73a77a1e7c599889cf049237498587fa20e3bcadb3cc3326c6e44896d06df6","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-12-13T05:31:58Z","title_canon_sha256":"9603523dc78a1e881499882d1aa13a986c4fee96ae18dcbc07caebc8064a88e3"},"schema_version":"1.0","source":{"id":"1812.05269","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.05269","created_at":"2026-05-17T23:51:30Z"},{"alias_kind":"arxiv_version","alias_value":"1812.05269v3","created_at":"2026-05-17T23:51:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.05269","created_at":"2026-05-17T23:51:30Z"},{"alias_kind":"pith_short_12","alias_value":"S5AFZVZPVGBM","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"S5AFZVZPVGBMNUVF","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"S5AFZVZP","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:c7c186a7c584be17812806e9a86d8baa1db959a6bb355d4566e0b95d0756aa5b","target":"graph","created_at":"2026-05-17T23:51:30Z","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 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","authors_text":"Hosho Katsura, Nobuyuki Yoshioka, Yutaka Akagi","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-12-13T05:31:58Z","title":"Transforming Generalized Ising Model into Boltzmann Machine"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.05269","kind":"arxiv","version":3},"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":"sha256:76e920e2d269b8816037c9f47292486b2050fa788b5bedd916023b0ff2930301","target":"record","created_at":"2026-05-17T23:51:30Z","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":"3e73a77a1e7c599889cf049237498587fa20e3bcadb3cc3326c6e44896d06df6","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-12-13T05:31:58Z","title_canon_sha256":"9603523dc78a1e881499882d1aa13a986c4fee96ae18dcbc07caebc8064a88e3"},"schema_version":"1.0","source":{"id":"1812.05269","kind":"arxiv","version":3}},"canonical_sha256":"97405cd72fa982c6d2a5e8ee514ba03c74d516158cf69605567da55904eff635","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97405cd72fa982c6d2a5e8ee514ba03c74d516158cf69605567da55904eff635","first_computed_at":"2026-05-17T23:51:30.563846Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:30.563846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O2czPlWOn9hm5LkbhOr5o1Pkk8ba0ZZ3Xxe1fXYse/Taukacm+5W8h/sN5vfVJJmWDwrSOstM7AW8LgE3lpsBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:30.564223Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.05269","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76e920e2d269b8816037c9f47292486b2050fa788b5bedd916023b0ff2930301","sha256:c7c186a7c584be17812806e9a86d8baa1db959a6bb355d4566e0b95d0756aa5b"],"state_sha256":"c5ffd8a71727d0d8475a3cbbc86f78d77962251146d87eeadc46fc95cb41d646"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t86S+eeXq3gqEO6FDR1oo579sG92nvQVIhh4yzGudaOqsLjvsBoi8KN1eE2nGhCaO0rSmKxI/5LxZEtW+XaoCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T08:54:56.376888Z","bundle_sha256":"8ee16d9fb0f025cc27f163ccc028c4c9ed18f8f2d1dd260a24df42fb48200207"}}