{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:IQQJOWBK6ETNPR3EXFBL7X5AR5","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":"bd92552d95093f9f876e6e9570290586fb468221e2081bceb7cab62656c87a9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-04-06T17:42:45Z","title_canon_sha256":"b5a18d4ba4f6b8b7e7db222e64c29ef57a58945af511dd13d3a6d77d5a9c578f"},"schema_version":"1.0","source":{"id":"1504.01334","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.01334","created_at":"2026-05-18T01:17:25Z"},{"alias_kind":"arxiv_version","alias_value":"1504.01334v2","created_at":"2026-05-18T01:17:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.01334","created_at":"2026-05-18T01:17:25Z"},{"alias_kind":"pith_short_12","alias_value":"IQQJOWBK6ETN","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"IQQJOWBK6ETNPR3E","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"IQQJOWBK","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:ce356d978c6b4dd0c81a93a615f8bb5208f73bc72d95200e6d864a15d38fee40","target":"graph","created_at":"2026-05-18T01:17:25Z","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 obtain the complete phase diagram of the antiferromagnetic $J_{1}$-$J_{2}$ model, $0\\leq \\alpha = J_2/J1 \\leq 1$, within the framework of the $O(N)$ nonlinear sigma model. We find two magnetically ordered phases, one with N\\' eel order, for $\\alpha \\leq 0.4$, and another with collinear order, for $\\alpha\\geq 0.6$, separated by a nonmagnetic region, for $0.4\\leq \\alpha \\leq 0.6$, where a gapped spin liquid is found. The transition at $\\alpha=0.4$ is of the second order while the one at $\\alpha=0.6$ is of the first order and the spin gaps cross at $\\alpha=0.5$. Our results are exact at $N\\rig","authors_text":"M. B. Silva Neto, T. P. Cysne","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-04-06T17:42:45Z","title":"Magnetic quantum phase transitions of the antiferromagnetic J_{1}-J_{2} Heisenberg model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.01334","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:b23cdfccf639dde5c86412ca6c4eb3f31273142230bc7aec82228859db70dfa3","target":"record","created_at":"2026-05-18T01:17:25Z","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":"bd92552d95093f9f876e6e9570290586fb468221e2081bceb7cab62656c87a9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-04-06T17:42:45Z","title_canon_sha256":"b5a18d4ba4f6b8b7e7db222e64c29ef57a58945af511dd13d3a6d77d5a9c578f"},"schema_version":"1.0","source":{"id":"1504.01334","kind":"arxiv","version":2}},"canonical_sha256":"442097582af126d7c764b942bfdfa08f48164f320fd4f9d22225357683df596c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"442097582af126d7c764b942bfdfa08f48164f320fd4f9d22225357683df596c","first_computed_at":"2026-05-18T01:17:25.798140Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:25.798140Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rdjAFyqmBcKubRB3rqAQrkkftk+s8c74xsqJzJVHkbuDtjWtrSDpks82n/1jARQs8OHZM3Q8ExjggA3SnILaBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:25.798798Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.01334","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b23cdfccf639dde5c86412ca6c4eb3f31273142230bc7aec82228859db70dfa3","sha256:ce356d978c6b4dd0c81a93a615f8bb5208f73bc72d95200e6d864a15d38fee40"],"state_sha256":"179f810c2347abdecf8f0f45cecd9ce0fdfb1edf7629a85a98d4f904cb108152"}