{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KY6FNGQGROLOJOPWOXLQX7DKS6","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":"bde3e27a388f4b7e9b04ba8dc8ab1a84798355c5871b89a91d1ea57829729712","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-02-13T02:18:17Z","title_canon_sha256":"9976a294c11f97f5a8265d386302d70a37d4ba52c969fc43a9e0cdbd98a82662"},"schema_version":"1.0","source":{"id":"1702.03609","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.03609","created_at":"2026-05-17T23:58:19Z"},{"alias_kind":"arxiv_version","alias_value":"1702.03609v4","created_at":"2026-05-17T23:58:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.03609","created_at":"2026-05-17T23:58:19Z"},{"alias_kind":"pith_short_12","alias_value":"KY6FNGQGROLO","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"KY6FNGQGROLOJOPW","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"KY6FNGQG","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:240323a48f24c1061ba4bcf48ef827a36c83b87ac253e73eb5c0767c27a78d8b","target":"graph","created_at":"2026-05-17T23:58:19Z","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 ground state (GS) properties of the quasi-one-dimensional $AB_2$ Hubbard model are investigated taking the effects of charge and spin quantum fluctuations on equal footing. In the strong-coupling regime, we derive a low-energy Lagrangian suitable to describe the ferrimagnetic phase at half filling and the phases in the hole-doped regime. At half filling, a perturbative spin-wave analysis allows us to find the GS energy, sublattice magnetizations, and Lieb total spin per unit cell of the effective quantum Heisenberg model, in very good agreement with previous results. In the challenging hol","authors_text":"M. D. Coutinho-Filho, V. M. Martinez Alvarez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-02-13T02:18:17Z","title":"Lieb and hole-doped ferrimagnetism, spiral, resonating valence-bond states, and phase separation in large-U $AB_{2}$ Hubbard chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03609","kind":"arxiv","version":4},"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":"sha256:758caaf560a89536de5dfa70e790911da7671509a1a69e6e79c197b216931f65","target":"record","created_at":"2026-05-17T23:58:19Z","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":"bde3e27a388f4b7e9b04ba8dc8ab1a84798355c5871b89a91d1ea57829729712","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-02-13T02:18:17Z","title_canon_sha256":"9976a294c11f97f5a8265d386302d70a37d4ba52c969fc43a9e0cdbd98a82662"},"schema_version":"1.0","source":{"id":"1702.03609","kind":"arxiv","version":4}},"canonical_sha256":"563c569a068b96e4b9f675d70bfc6a9788eb141ff9729a8faf2979b2bdc73b6f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"563c569a068b96e4b9f675d70bfc6a9788eb141ff9729a8faf2979b2bdc73b6f","first_computed_at":"2026-05-17T23:58:19.732230Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:19.732230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2YGgfqQ7IwSL6Ybo9Eq9Dxt85zhGvfYDu3oo+JpsvtFGV2Fi7uLJZHoF1V8rs8yNy4th6KIzHeM+zXksAf+bBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:19.732650Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.03609","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:758caaf560a89536de5dfa70e790911da7671509a1a69e6e79c197b216931f65","sha256:240323a48f24c1061ba4bcf48ef827a36c83b87ac253e73eb5c0767c27a78d8b"],"state_sha256":"d289f97bb6f5b935371f0005e65a217d959fc6ef35bf3992d5b5bfc60de83dd8"}