{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:HS6PRG7RDPKYMFMEM6UH4RTJSE","short_pith_number":"pith:HS6PRG7R","schema_version":"1.0","canonical_sha256":"3cbcf89bf11bd586158467a87e4669911bee806e7e79a0a607d7afef18681c84","source":{"kind":"arxiv","id":"1112.4052","version":1},"attestation_state":"computed","paper":{"title":"An improved effective field theory formulation of spin-1/2 Ising systems with arbitrary coordination number z","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"\\\"Umit Ak{\\i}nc{\\i}","submitted_at":"2011-12-17T12:25:03Z","abstract_excerpt":"An improved unified formulation based on the effective field theory is introduced for a spin-1/2 Ising model with nearest neighbor interactions with arbitrary coordination number z. Present formulation is capable of calculating all the multi-spin correlations systematically in a representative manner, as well as its single site counterparts in the system and gives results for the critical temperature of the system much better than those of the other works in the literature. The formulation can be easily applied to various extensions of s-1/2 Ising models, as long as the system contains only th"},"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":"1112.4052","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-12-17T12:25:03Z","cross_cats_sorted":[],"title_canon_sha256":"4ed611848020a60baa130b200e42cbce149388f39d77fd7ff10b008ca33d7e60","abstract_canon_sha256":"8c601af7ab88bd82194bb641fcdb1e8bfa8233a6793589e376435cad2e3a5e3f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:21.871464Z","signature_b64":"uUy2idZ8N8So80VJLGkiaAHqkptmwOTcldhpxIovJ+FclC/n8zGUa9sjt04t0YbDaC1outtsHLO4FSIkJAP4BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3cbcf89bf11bd586158467a87e4669911bee806e7e79a0a607d7afef18681c84","last_reissued_at":"2026-05-18T01:09:21.871054Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:21.871054Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An improved effective field theory formulation of spin-1/2 Ising systems with arbitrary coordination number z","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"\\\"Umit Ak{\\i}nc{\\i}","submitted_at":"2011-12-17T12:25:03Z","abstract_excerpt":"An improved unified formulation based on the effective field theory is introduced for a spin-1/2 Ising model with nearest neighbor interactions with arbitrary coordination number z. Present formulation is capable of calculating all the multi-spin correlations systematically in a representative manner, as well as its single site counterparts in the system and gives results for the critical temperature of the system much better than those of the other works in the literature. The formulation can be easily applied to various extensions of s-1/2 Ising models, as long as the system contains only th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4052","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":"1112.4052","created_at":"2026-05-18T01:09:21.871121+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.4052v1","created_at":"2026-05-18T01:09:21.871121+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.4052","created_at":"2026-05-18T01:09:21.871121+00:00"},{"alias_kind":"pith_short_12","alias_value":"HS6PRG7RDPKY","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_16","alias_value":"HS6PRG7RDPKYMFME","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_8","alias_value":"HS6PRG7R","created_at":"2026-05-18T12:26:30.835961+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/HS6PRG7RDPKYMFMEM6UH4RTJSE","json":"https://pith.science/pith/HS6PRG7RDPKYMFMEM6UH4RTJSE.json","graph_json":"https://pith.science/api/pith-number/HS6PRG7RDPKYMFMEM6UH4RTJSE/graph.json","events_json":"https://pith.science/api/pith-number/HS6PRG7RDPKYMFMEM6UH4RTJSE/events.json","paper":"https://pith.science/paper/HS6PRG7R"},"agent_actions":{"view_html":"https://pith.science/pith/HS6PRG7RDPKYMFMEM6UH4RTJSE","download_json":"https://pith.science/pith/HS6PRG7RDPKYMFMEM6UH4RTJSE.json","view_paper":"https://pith.science/paper/HS6PRG7R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.4052&json=true","fetch_graph":"https://pith.science/api/pith-number/HS6PRG7RDPKYMFMEM6UH4RTJSE/graph.json","fetch_events":"https://pith.science/api/pith-number/HS6PRG7RDPKYMFMEM6UH4RTJSE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HS6PRG7RDPKYMFMEM6UH4RTJSE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HS6PRG7RDPKYMFMEM6UH4RTJSE/action/storage_attestation","attest_author":"https://pith.science/pith/HS6PRG7RDPKYMFMEM6UH4RTJSE/action/author_attestation","sign_citation":"https://pith.science/pith/HS6PRG7RDPKYMFMEM6UH4RTJSE/action/citation_signature","submit_replication":"https://pith.science/pith/HS6PRG7RDPKYMFMEM6UH4RTJSE/action/replication_record"}},"created_at":"2026-05-18T01:09:21.871121+00:00","updated_at":"2026-05-18T01:09:21.871121+00:00"}