{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:WORNMSLNOFXGJ65OZNXXA2H3QF","short_pith_number":"pith:WORNMSLN","schema_version":"1.0","canonical_sha256":"b3a2d6496d716e64fbaecb6f7068fb817765e8c07cc788db6518924bfe2d1fe7","source":{"kind":"arxiv","id":"1110.3394","version":3},"attestation_state":"computed","paper":{"title":"Antiferromagnetic spin-S chains with exactly dimerized ground states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Fran\\c{c}ois Vernay, Fr\\'ed\\'eric Michaud, Fr\\'ed\\'eric Mila, Salvatore R. Manmana","submitted_at":"2011-10-15T08:38:38Z","abstract_excerpt":"We show that spin S Heisenberg spin chains with an additional three-body interaction of the form (S_{i-1}S_{i})(S_{i}S_{i+1})+h.c. possess fully dimerized ground states if the ratio of the three-body interaction to the bilinear one is equal to 1/(4S(S+1)-2). This result generalizes the Majumdar-Ghosh point of the J_1-J_2 chain, to which the present model reduces for S=1/2. For S=1, we use the density matrix renormalization group method (DMRG) to show that the transition between the Haldane and the dimerized phases is continuous with central charge c=3/2. Finally, we show that such a three-body"},"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":"1110.3394","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-10-15T08:38:38Z","cross_cats_sorted":[],"title_canon_sha256":"cbab232b522b85048b1ec16deed196cf051cdff42c42df7d6be2f37f6d006f82","abstract_canon_sha256":"5e808fe9ee54c7efeea7531ef9a2998c33855ef2b9a83d5b1fdcf8f462710f03"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:03.066342Z","signature_b64":"PHIfyevcVGg/zlEQCPBWr9fxm8x4exkTyGUcxlOvrGT2BNK+7ay82GI/n+81WTwIzkUulprgSzOjSoLhzgL9AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3a2d6496d716e64fbaecb6f7068fb817765e8c07cc788db6518924bfe2d1fe7","last_reissued_at":"2026-05-18T03:59:03.065500Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:03.065500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Antiferromagnetic spin-S chains with exactly dimerized ground states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Fran\\c{c}ois Vernay, Fr\\'ed\\'eric Michaud, Fr\\'ed\\'eric Mila, Salvatore R. Manmana","submitted_at":"2011-10-15T08:38:38Z","abstract_excerpt":"We show that spin S Heisenberg spin chains with an additional three-body interaction of the form (S_{i-1}S_{i})(S_{i}S_{i+1})+h.c. possess fully dimerized ground states if the ratio of the three-body interaction to the bilinear one is equal to 1/(4S(S+1)-2). This result generalizes the Majumdar-Ghosh point of the J_1-J_2 chain, to which the present model reduces for S=1/2. For S=1, we use the density matrix renormalization group method (DMRG) to show that the transition between the Haldane and the dimerized phases is continuous with central charge c=3/2. Finally, we show that such a three-body"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3394","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1110.3394","created_at":"2026-05-18T03:59:03.065634+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.3394v3","created_at":"2026-05-18T03:59:03.065634+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.3394","created_at":"2026-05-18T03:59:03.065634+00:00"},{"alias_kind":"pith_short_12","alias_value":"WORNMSLNOFXG","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"WORNMSLNOFXGJ65O","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"WORNMSLN","created_at":"2026-05-18T12:26:44.992195+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2602.23187","citing_title":"Extended Ashkin-Teller transition in two coupled frustrated Haldane chains","ref_index":11,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WORNMSLNOFXGJ65OZNXXA2H3QF","json":"https://pith.science/pith/WORNMSLNOFXGJ65OZNXXA2H3QF.json","graph_json":"https://pith.science/api/pith-number/WORNMSLNOFXGJ65OZNXXA2H3QF/graph.json","events_json":"https://pith.science/api/pith-number/WORNMSLNOFXGJ65OZNXXA2H3QF/events.json","paper":"https://pith.science/paper/WORNMSLN"},"agent_actions":{"view_html":"https://pith.science/pith/WORNMSLNOFXGJ65OZNXXA2H3QF","download_json":"https://pith.science/pith/WORNMSLNOFXGJ65OZNXXA2H3QF.json","view_paper":"https://pith.science/paper/WORNMSLN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.3394&json=true","fetch_graph":"https://pith.science/api/pith-number/WORNMSLNOFXGJ65OZNXXA2H3QF/graph.json","fetch_events":"https://pith.science/api/pith-number/WORNMSLNOFXGJ65OZNXXA2H3QF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WORNMSLNOFXGJ65OZNXXA2H3QF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WORNMSLNOFXGJ65OZNXXA2H3QF/action/storage_attestation","attest_author":"https://pith.science/pith/WORNMSLNOFXGJ65OZNXXA2H3QF/action/author_attestation","sign_citation":"https://pith.science/pith/WORNMSLNOFXGJ65OZNXXA2H3QF/action/citation_signature","submit_replication":"https://pith.science/pith/WORNMSLNOFXGJ65OZNXXA2H3QF/action/replication_record"}},"created_at":"2026-05-18T03:59:03.065634+00:00","updated_at":"2026-05-18T03:59:03.065634+00:00"}