{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ZDXPJ4TDODCL65D4CSFPYTFWI7","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":"54cce9ea5a58bc853761487b0a9fa08c80ba94f34ae0d1009d8ebddcc55d105d","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-11-19T13:08:59Z","title_canon_sha256":"6f82518b5bd59c69890f0bcd57c11cc7ba4085bb0efcb5f94ecdef703c66c038"},"schema_version":"1.0","source":{"id":"1011.4421","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.4421","created_at":"2026-05-18T04:07:29Z"},{"alias_kind":"arxiv_version","alias_value":"1011.4421v3","created_at":"2026-05-18T04:07:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4421","created_at":"2026-05-18T04:07:29Z"},{"alias_kind":"pith_short_12","alias_value":"ZDXPJ4TDODCL","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"ZDXPJ4TDODCL65D4","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"ZDXPJ4TD","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:88ad48a29d7bbc601560ff973824a9736ce2092c7014f325714663a94aa2746a","target":"graph","created_at":"2026-05-18T04:07:29Z","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":"The total many-body correlations present in finite temperature classical spin systems are studied using the concept of mutual information. As opposed to zero-temperature quantum phase transitions, the total correlations are not maximal at the phase transition, but reach a maximum in the high temperature paramagnetic phase. The Shannon and Renyi mutual information in both Ising and Potts models in 2 dimensions are calculated numerically by combining matrix product states algorithms and Monte Carlo sampling techniques.","authors_text":"Frank Verstraete, Johannes Wilms, Matthias Troyer","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-11-19T13:08:59Z","title":"Mutual information in classical spin models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4421","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":"sha256:25330c129f44bb02db2578e5e39a298bcff01e7d5d3bdce6c95b75335c3863be","target":"record","created_at":"2026-05-18T04:07:29Z","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":"54cce9ea5a58bc853761487b0a9fa08c80ba94f34ae0d1009d8ebddcc55d105d","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-11-19T13:08:59Z","title_canon_sha256":"6f82518b5bd59c69890f0bcd57c11cc7ba4085bb0efcb5f94ecdef703c66c038"},"schema_version":"1.0","source":{"id":"1011.4421","kind":"arxiv","version":3}},"canonical_sha256":"c8eef4f26370c4bf747c148afc4cb647e00ea2f7e35f8eeef3d55b2a0bb4c654","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c8eef4f26370c4bf747c148afc4cb647e00ea2f7e35f8eeef3d55b2a0bb4c654","first_computed_at":"2026-05-18T04:07:29.357477Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:29.357477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/QLp7lB7UZGIhHskyAM0H0gaICIZNDHHVJh1H29axOsDDOQd31yhD2aLjHnlhC4L/1v70Jt4DmGtqNnAc+IuAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:29.358095Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.4421","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25330c129f44bb02db2578e5e39a298bcff01e7d5d3bdce6c95b75335c3863be","sha256:88ad48a29d7bbc601560ff973824a9736ce2092c7014f325714663a94aa2746a"],"state_sha256":"894e629566b2e6e1ed34e0014f818c334514224ce8d6f88f34990c8f8a777381"}