{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:DN7AKILDT3STY6TIV4GOCPNVVZ","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":"87c06caeb3b65f44726578c637453f2ce522f4b9b777833e8689cec21123709c","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1997-06-11T14:31:22Z","title_canon_sha256":"3a061d5c05ce40a7b67f7fc8a92ba3da94653b378e45f2a6cbd07b25283f60b8"},"schema_version":"1.0","source":{"id":"cond-mat/9706105","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9706105","created_at":"2026-05-18T01:07:08Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9706105v1","created_at":"2026-05-18T01:07:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9706105","created_at":"2026-05-18T01:07:08Z"},{"alias_kind":"pith_short_12","alias_value":"DN7AKILDT3ST","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"DN7AKILDT3STY6TI","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"DN7AKILD","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:8f7f12b32e51cfc70b5fac8986c873c500c5cd5e8ec58910c43de48f13fc607e","target":"graph","created_at":"2026-05-18T01:07:08Z","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":"A long-wavelength, low-frequency effective theory is obtained from $t_1-t_2-J$ model. The action is written in terms of two-component bose spinor fields (CP^1 fields) and two spinless Fermi fields. The generalized CP^1 model is invariant under U(1) gauge transformations. The bose fields and one of the Fermi fields have charge +1 while the other Fermi field has charge -1 with respect to these transformations. A simple mean-feild theory of a gauge-symmerty breaking, based on a four-fermion interaction, is discussed. An effective theory of frustrated antiferromagnetism is obtained integrating out","authors_text":"Naoum Karchev","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"1997-06-11T14:31:22Z","title":"Generalized CP^1 model from t_1-t_2-J model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9706105","kind":"arxiv","version":1},"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":"sha256:82a5218b05308239fea8e3a1994f65245544b22cf791e20c256282562c4a7e22","target":"record","created_at":"2026-05-18T01:07:08Z","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":"87c06caeb3b65f44726578c637453f2ce522f4b9b777833e8689cec21123709c","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1997-06-11T14:31:22Z","title_canon_sha256":"3a061d5c05ce40a7b67f7fc8a92ba3da94653b378e45f2a6cbd07b25283f60b8"},"schema_version":"1.0","source":{"id":"cond-mat/9706105","kind":"arxiv","version":1}},"canonical_sha256":"1b7e0521639ee53c7a68af0ce13db5ae6c01bab28dea6e2f56229bd279a21575","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b7e0521639ee53c7a68af0ce13db5ae6c01bab28dea6e2f56229bd279a21575","first_computed_at":"2026-05-18T01:07:08.082770Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:08.082770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SubL4Fn7Q3fJpLNK4H+JNVkTekw3rCywVA99g5R9McQIjUpiNGZ9XNzNYH6N78JBmM23s9jUXh2A3gSORoDmDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:08.083330Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9706105","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82a5218b05308239fea8e3a1994f65245544b22cf791e20c256282562c4a7e22","sha256:8f7f12b32e51cfc70b5fac8986c873c500c5cd5e8ec58910c43de48f13fc607e"],"state_sha256":"ff9af6c659c444ee14c6fa48f760ff2d21622bf3b69555de0917a6ecfd15870a"}