{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4C2PEODTTLWMLWURG46B2XVFYM","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":"1d2ad85f1234866f0a6cf14c20f157a500ceefa4a4dd6a50cb50c3244f766ffd","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-05-25T14:40:21Z","title_canon_sha256":"fca9698793ce00cb0d18a36ec2d4ce884bf3aabfccc6405b7a9c2a7381e51672"},"schema_version":"1.0","source":{"id":"1205.5710","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.5710","created_at":"2026-05-18T01:57:17Z"},{"alias_kind":"arxiv_version","alias_value":"1205.5710v2","created_at":"2026-05-18T01:57:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5710","created_at":"2026-05-18T01:57:17Z"},{"alias_kind":"pith_short_12","alias_value":"4C2PEODTTLWM","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4C2PEODTTLWMLWUR","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4C2PEODT","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:8d8e04ebd0cf1d3480699788ca7432936184e840fd9a73bd0cdf45b9d9a0a783","target":"graph","created_at":"2026-05-18T01:57:17Z","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 phase transition of the quantum spin-1/2 frustrated Heisenberg antiferroferromagnet on an anisotropic square lattice is studied by using a variational treatment. The model is described by the Heisenberg Hamiltonian with two antiferromagnetic interactions: nearest-neighbor (NN) with different coupling strengths J_{1} and J_{1'} along x and y directions competing with a next-nearest-neighbor coupling J_{2} (NNN). The ground state phase diagram in the ({\\lambda},{\\alpha}) space, where {\\lambda}=J_{1'}/J_{1} and {\\alpha}=J_{2}/J_{1}, is obtained. Depending on the values of {\\lambda} and {\\alph","authors_text":"J. Ricardo de Sousa, Octavio Salmon, Orlando D. Mabelini","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-05-25T14:40:21Z","title":"The quantum J_{1}-J_{1'}-J_{2} spin-1/2 Heisenberg antiferromagnet: A variational method study"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5710","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":"sha256:133534f9142cfcdedf316bf85f52b5592c32485f51066ad5ec3ecf22e0157b94","target":"record","created_at":"2026-05-18T01:57:17Z","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":"1d2ad85f1234866f0a6cf14c20f157a500ceefa4a4dd6a50cb50c3244f766ffd","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-05-25T14:40:21Z","title_canon_sha256":"fca9698793ce00cb0d18a36ec2d4ce884bf3aabfccc6405b7a9c2a7381e51672"},"schema_version":"1.0","source":{"id":"1205.5710","kind":"arxiv","version":2}},"canonical_sha256":"e0b4f238739aecc5da91373c1d5ea5c3222a7a005879b41a9ae2a2111d31720c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0b4f238739aecc5da91373c1d5ea5c3222a7a005879b41a9ae2a2111d31720c","first_computed_at":"2026-05-18T01:57:17.263960Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:17.263960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UDv0WKW+32SQ7Zp1TaVx2dPUd1zSxB7UQQuRAUORat4wZl3y8Nn/JPjvJ88q4Go+3N9pfYVsXZeDZ5DdHgCUBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:17.264714Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.5710","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:133534f9142cfcdedf316bf85f52b5592c32485f51066ad5ec3ecf22e0157b94","sha256:8d8e04ebd0cf1d3480699788ca7432936184e840fd9a73bd0cdf45b9d9a0a783"],"state_sha256":"e08184bc75a1656124dc586dcc759f3e623e6a815c75b6cde6140fff312f78ba"}