{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:O4MMLTTGZLEIQPBDIF6GGIBAR3","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":"27b382cb6291381f7e144f7deb8cd988b50a4625a835d77476f4cacd7b38b096","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-11-07T12:37:25Z","title_canon_sha256":"11c37f38c97ce1c5e987b1795efae91a04ec2bd061347a15264a2a7412e2f8ff"},"schema_version":"1.0","source":{"id":"1211.1522","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1522","created_at":"2026-05-18T03:25:59Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1522v2","created_at":"2026-05-18T03:25:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1522","created_at":"2026-05-18T03:25:59Z"},{"alias_kind":"pith_short_12","alias_value":"O4MMLTTGZLEI","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"O4MMLTTGZLEIQPBD","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"O4MMLTTG","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:80cf267817cea3dd57c7f209e4bc5f696aca4b8a11b32334210ad4b90841a925","target":"graph","created_at":"2026-05-18T03:25:59Z","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 introduce a generalized Hamiltonian Mean Field Model (gHMF)-XY model with both linear and quadratic coupling between spins and explicit Hamiltonian dynamics. In addition to the usual paramagnetic and ferromagnetic phases, this model also possesses a nematic phase. The gHMF can be solved explicitly using Boltzmann-Gibbs (BG) statistical mechanics, in both canonical and microcanonical ensembles. However, when the resulting microcanonical phase diagram is compared with the one obtained using molecular dynamics simulations, it is found that the two are very different. We will present a dynamica","authors_text":"Fernanda Benetti, Renato Pakter, Tarc\\'isio N. Teles, Yan Levin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-11-07T12:37:25Z","title":"Nonequilibrium phase transitions in systems with long-range interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1522","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:ba870e289cb221355c048f7eeecfb36fe2f87e0cadd54b4420fa6974680067f7","target":"record","created_at":"2026-05-18T03:25:59Z","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":"27b382cb6291381f7e144f7deb8cd988b50a4625a835d77476f4cacd7b38b096","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-11-07T12:37:25Z","title_canon_sha256":"11c37f38c97ce1c5e987b1795efae91a04ec2bd061347a15264a2a7412e2f8ff"},"schema_version":"1.0","source":{"id":"1211.1522","kind":"arxiv","version":2}},"canonical_sha256":"7718c5ce66cac8883c23417c6320208ed3830b39b932ff79c844c3d36bb40cd6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7718c5ce66cac8883c23417c6320208ed3830b39b932ff79c844c3d36bb40cd6","first_computed_at":"2026-05-18T03:25:59.005629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:59.005629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IOKSJe5+ib4YydYEXxct3ePJYPqXUgulmrWlNntE1Dwb3HB1yVivsVqtDoEydxbOCeY4zABpXqRF6aOgDLcbAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:59.006242Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.1522","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba870e289cb221355c048f7eeecfb36fe2f87e0cadd54b4420fa6974680067f7","sha256:80cf267817cea3dd57c7f209e4bc5f696aca4b8a11b32334210ad4b90841a925"],"state_sha256":"ae162c3467f4976665e4674b1536f74205589d4662399e8337e6b74bd92b0a27"}