{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:A5VBPFX7SNNMBWAZWSM5S26PFO","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":"9b2e0fb722dd09c0e5518cb5a4ab3e286a64159a356e7c04a89f85096f4af3f9","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-10-22T00:18:42Z","title_canon_sha256":"7ed636a6fbf22ab333cf637ba0b1e76a2d91a0b31760fcd8f3c2c53fe379c38c"},"schema_version":"1.0","source":{"id":"2310.14140","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.14140","created_at":"2026-07-05T08:36:44Z"},{"alias_kind":"arxiv_version","alias_value":"2310.14140v2","created_at":"2026-07-05T08:36:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.14140","created_at":"2026-07-05T08:36:44Z"},{"alias_kind":"pith_short_12","alias_value":"A5VBPFX7SNNM","created_at":"2026-07-05T08:36:44Z"},{"alias_kind":"pith_short_16","alias_value":"A5VBPFX7SNNMBWAZ","created_at":"2026-07-05T08:36:44Z"},{"alias_kind":"pith_short_8","alias_value":"A5VBPFX7","created_at":"2026-07-05T08:36:44Z"}],"graph_snapshots":[{"event_id":"sha256:af8f084bdec373a7631146ff7d97229d4bf6962e97edee1c1c76a7822d3a1747","target":"graph","created_at":"2026-07-05T08:36:44Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2310.14140/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Ising model is the simplest to describe many-body effects in classical statistical mechanics. Duality analysis leads to a critical point under several assumptions. The Ising model itself has $Z(2)$ symmetry. The basis of the duality analysis is a nontrivial relationship between low and high-temperature expansions. However, the discrete Fourier transformation finds the hidden relationship automatically. The duality analysis can be naturally generalized into the case with the degrees of freedom with $Z(q)$ symmetry and random spin systems. We further obtain the duality in a series of permuta","authors_text":"Masayuki Ohzeki","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-10-22T00:18:42Z","title":"Duality analysis in symmetric group and its application to random tensor network model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.14140","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":"sha256:5f5f37a3ad0a8da232c8f646ac25c4ac23e233242ce94c16b35372be5c25f59c","target":"record","created_at":"2026-07-05T08:36:44Z","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":"9b2e0fb722dd09c0e5518cb5a4ab3e286a64159a356e7c04a89f85096f4af3f9","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-10-22T00:18:42Z","title_canon_sha256":"7ed636a6fbf22ab333cf637ba0b1e76a2d91a0b31760fcd8f3c2c53fe379c38c"},"schema_version":"1.0","source":{"id":"2310.14140","kind":"arxiv","version":2}},"canonical_sha256":"076a1796ff935ac0d819b499d96bcf2b8ebf847909bb6e8351702c593cbcb26c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"076a1796ff935ac0d819b499d96bcf2b8ebf847909bb6e8351702c593cbcb26c","first_computed_at":"2026-07-05T08:36:44.050722Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:36:44.050722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RC86zQT1PZrsgklCy1SsZe+0JyWr3EYxxOMhgzGX68T/HGnUZwLcdPMVL1jEQ37HOUVQMGYgimM0y9J9Fjo5Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:36:44.051212Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.14140","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f5f37a3ad0a8da232c8f646ac25c4ac23e233242ce94c16b35372be5c25f59c","sha256:af8f084bdec373a7631146ff7d97229d4bf6962e97edee1c1c76a7822d3a1747"],"state_sha256":"955c08611c04614936df0e0041e3f83d362f0365ab14a36ecc0bda1ff97cf28f"}