{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1997:JNXLDH3RIPIA4YCX5RBDYTDSC2","short_pith_number":"pith:JNXLDH3R","schema_version":"1.0","canonical_sha256":"4b6eb19f7143d00e6057ec423c4c7216bc4d018ba4e4541a22f518ada4e23ead","source":{"kind":"arxiv","id":"cond-mat/9705201","version":1},"attestation_state":"computed","paper":{"title":"Spin-S bilayer Heisenberg models: Mean-field arguments and numerical calculations","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"C. J. Hamer, J. Oitmaa (U New South Wales), Martin P. Gelfand (Colorado State U), Zheng Weihong","submitted_at":"1997-05-20T16:10:45Z","abstract_excerpt":"Spin-S bilayer Heisenberg models (nearest-neighbor square lattice antiferromagnets in each layer, with antiferromagnetic interlayer couplings) are treated using dimer mean-field theory for general S and high-order expansions about the dimer limit for S=1, 3/2,...,4. We suggest that the transition between the dimer phase at weak intraplane coupling and the Neel phase at strong intraplane coupling is continuous for all S, contrary to a recent suggestion based on Schwinger boson mean-field theory. We also present results for S=1 layers based on expansions about the Ising limit: In every respect t"},"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/9705201","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1997-05-20T16:10:45Z","cross_cats_sorted":[],"title_canon_sha256":"8008c67643648d97962e935f040a0b50abffac1f448c969e73e5987e8038e279","abstract_canon_sha256":"bc6ef3751e449cad984a4148447363c0e105fe80cad03b28e665ee3f43c8131e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:00.914457Z","signature_b64":"IhNG1d5/MUunlb/mfzNLbrDMP6RpSR0ktdqDQZ8ttUMmUTjevfQkv263L1vY6YSCr1vTNjiBY06xsFK/72HFDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b6eb19f7143d00e6057ec423c4c7216bc4d018ba4e4541a22f518ada4e23ead","last_reissued_at":"2026-05-18T04:32:00.913947Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:00.913947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spin-S bilayer Heisenberg models: Mean-field arguments and numerical calculations","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"C. J. Hamer, J. Oitmaa (U New South Wales), Martin P. Gelfand (Colorado State U), Zheng Weihong","submitted_at":"1997-05-20T16:10:45Z","abstract_excerpt":"Spin-S bilayer Heisenberg models (nearest-neighbor square lattice antiferromagnets in each layer, with antiferromagnetic interlayer couplings) are treated using dimer mean-field theory for general S and high-order expansions about the dimer limit for S=1, 3/2,...,4. We suggest that the transition between the dimer phase at weak intraplane coupling and the Neel phase at strong intraplane coupling is continuous for all S, contrary to a recent suggestion based on Schwinger boson mean-field theory. We also present results for S=1 layers based on expansions about the Ising limit: In every respect t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9705201","kind":"arxiv","version":1},"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":"cond-mat/9705201","created_at":"2026-05-18T04:32:00.914015+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9705201v1","created_at":"2026-05-18T04:32:00.914015+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9705201","created_at":"2026-05-18T04:32:00.914015+00:00"},{"alias_kind":"pith_short_12","alias_value":"JNXLDH3RIPIA","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"JNXLDH3RIPIA4YCX","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"JNXLDH3R","created_at":"2026-05-18T12:25:48.327863+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JNXLDH3RIPIA4YCX5RBDYTDSC2","json":"https://pith.science/pith/JNXLDH3RIPIA4YCX5RBDYTDSC2.json","graph_json":"https://pith.science/api/pith-number/JNXLDH3RIPIA4YCX5RBDYTDSC2/graph.json","events_json":"https://pith.science/api/pith-number/JNXLDH3RIPIA4YCX5RBDYTDSC2/events.json","paper":"https://pith.science/paper/JNXLDH3R"},"agent_actions":{"view_html":"https://pith.science/pith/JNXLDH3RIPIA4YCX5RBDYTDSC2","download_json":"https://pith.science/pith/JNXLDH3RIPIA4YCX5RBDYTDSC2.json","view_paper":"https://pith.science/paper/JNXLDH3R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/9705201&json=true","fetch_graph":"https://pith.science/api/pith-number/JNXLDH3RIPIA4YCX5RBDYTDSC2/graph.json","fetch_events":"https://pith.science/api/pith-number/JNXLDH3RIPIA4YCX5RBDYTDSC2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JNXLDH3RIPIA4YCX5RBDYTDSC2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JNXLDH3RIPIA4YCX5RBDYTDSC2/action/storage_attestation","attest_author":"https://pith.science/pith/JNXLDH3RIPIA4YCX5RBDYTDSC2/action/author_attestation","sign_citation":"https://pith.science/pith/JNXLDH3RIPIA4YCX5RBDYTDSC2/action/citation_signature","submit_replication":"https://pith.science/pith/JNXLDH3RIPIA4YCX5RBDYTDSC2/action/replication_record"}},"created_at":"2026-05-18T04:32:00.914015+00:00","updated_at":"2026-05-18T04:32:00.914015+00:00"}