{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:KNJ5WERFX7W2UV2YVRLFU4Y3WZ","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":"ec76dd9f700665e7500de40bfaa64f5e0959185c0afd5373fce1197a423a1c52","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-11-12T13:52:57Z","title_canon_sha256":"b8af67ee448cca85f444e549a140202334fd944b6a6419cf87d88c3ec66bf874"},"schema_version":"1.0","source":{"id":"1111.2927","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.2927","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"arxiv_version","alias_value":"1111.2927v1","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.2927","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"pith_short_12","alias_value":"KNJ5WERFX7W2","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"KNJ5WERFX7W2UV2Y","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"KNJ5WERF","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:828d1f1cfa9d0077bbc631bfff9b21f4902bc3a43195b6c3cde6b2d52099139b","target":"graph","created_at":"2026-05-18T04:08:23Z","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":"Site diluted spin-1/2 Ising and spin-1 Blume Capel (BC) models in the presence of transverse field interactions are examined by introducing an effective-field approximation that takes into account the multi-site correlations in the cluster of a considered lattice with an improved configurational averaging technique. The critical concentration below which the transition temperature reduces to zero is determined for both models, and the estimated values are compared with those obtained by the other methods in the literature. It is found that diluting the lattice sites by non magnetic atoms may c","authors_text":"Hamza Polat, \\\"Umit Ak{\\i}nc{\\i}, Yusuf Y\\\"uksel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-11-12T13:52:57Z","title":"A new effective field theory for spin-S (S<=1) dilute Ising ferromagnets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.2927","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":"sha256:65b2c36de847598b1d3a834778a9f1f4abc7a4c6983b123549e60908395f24a0","target":"record","created_at":"2026-05-18T04:08:23Z","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":"ec76dd9f700665e7500de40bfaa64f5e0959185c0afd5373fce1197a423a1c52","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-11-12T13:52:57Z","title_canon_sha256":"b8af67ee448cca85f444e549a140202334fd944b6a6419cf87d88c3ec66bf874"},"schema_version":"1.0","source":{"id":"1111.2927","kind":"arxiv","version":1}},"canonical_sha256":"5353db1225bfedaa5758ac565a731bb65cbb634c0cf435981aacc78d2b2d0b2f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5353db1225bfedaa5758ac565a731bb65cbb634c0cf435981aacc78d2b2d0b2f","first_computed_at":"2026-05-18T04:08:23.468070Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:23.468070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wuA9J5XxQaGPKCa6Iol8uuHAOFELIsLwPdsLmxOpn+exj4B6oE7T+gz54rjBUs4btc3Ijk07FkYg44E7fmV4CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:23.468565Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.2927","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65b2c36de847598b1d3a834778a9f1f4abc7a4c6983b123549e60908395f24a0","sha256:828d1f1cfa9d0077bbc631bfff9b21f4902bc3a43195b6c3cde6b2d52099139b"],"state_sha256":"42f798e4e80c548daf6d137e3172e81eee29b40f561a3116f9954896a40f9be2"}