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We employ the physical consider"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"cond-mat/0305057","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2003-05-03T14:04:55Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"8164b75e7e233191af85580261db5ed02c5b7891fd00715a869a321394b9bc5c","abstract_canon_sha256":"d3e1e47743f39c470b28528cf444433c984f9bd4bf49c6fc33dae701a9933ea0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:34.778300Z","signature_b64":"DWeZM5acjNqBgEKSc4LfR/XhzBH5atvVbD9jrPnW8iTmUI4dpPFhVHh0YPmzOFIyKxWPK7sCKXeIqbSGCWm6AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dfe01b1d58ab5fee2f4efd6de16d80dec29a144a9a66b92ba6ec13feffcd55e8","last_reissued_at":"2026-05-18T03:10:34.777566Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:34.777566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Magnetic properties of the $S=1/2$ distorted diamond chain at T=0","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Kiyomi Okamoto, Makoto Kaburagi, Takashi Tonegawa","submitted_at":"2003-05-03T14:04:55Z","abstract_excerpt":"We explore, at T=0, the magnetic properties of the $S=1/2$ antiferromagnetic distorted diamond chain described by the Hamiltonian ${\\cal H}\n  = \\sum_{j=1}^{N/3}{J_1 ({\\bi S}_{3j-1} \\cdot {\\bi S}_{3j}\n  + {\\bi S}_{3j} \\cdot {\\bi S}_{3j+1})\n  + J_2 {\\bi S}_{3j+1} \\cdot {\\bi S}_{3j+2}\n  + J_3 ({\\bi S}_{3j-2} \\cdot {\\bi S}_{3j}\n  + {\\bi S}_{3j} \\cdot {\\bi S}_{3j+2})}\n  \\allowbreak - H \\sum_{l=1}^{N} S_l^z $ with $J_1, J_2, J_3\\ge0$, which well models ${\\rm A_3 Cu_3 (PO_4)_4}$ with ${\\rm A = Ca, Sr}$, ${\\rm Bi_4 Cu_3 V_2 O_{14}}$ and azurite $\\rm Cu_3(OH)_2(CO_3)_2$. 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