{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:K5XIKFDSFGYTOIENFS2VX4FCVQ","short_pith_number":"pith:K5XIKFDS","schema_version":"1.0","canonical_sha256":"576e85147229b137208d2cb55bf0a2ac0ecb12da90a80a3df718954419167bd8","source":{"kind":"arxiv","id":"1607.01270","version":1},"attestation_state":"computed","paper":{"title":"A mean-field approach applied for the ferromagnetic spin-1 Blume-Capel model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"J. Roberto Viana, Minos A. Neto, Octavio D. Rodriguez Salmon","submitted_at":"2016-07-05T14:35:36Z","abstract_excerpt":"We applied a mean-field approach associated to Monte Carlo simulations in order to study the spin-1 ferromagnetic Blume-Capel model in the square and the linear lattice. This new technique, which we call MFT-MC, determines the molecular field as the magnetization response of a Monte Carlo simulation. The resulting phase diagram is qualitatively correct, in contrast to effective-field approximations, in which the first-order line is not perpendicular to the anisotropy axis at low temperatures. Thermodynamic quantities, as the entropy and the specific heat curves can be obtained so as to analyze"},"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":"1607.01270","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-07-05T14:35:36Z","cross_cats_sorted":[],"title_canon_sha256":"c0cb2265ff3995c9bbe51f90b1931869302fa2f31dcf60dbc6c43bb3d8861c2d","abstract_canon_sha256":"06a4ffbcb6bfeef6ca08fca3b6e4c95f8338a6ee58997b977b46440f32106cc9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:29.900335Z","signature_b64":"Ir7GXyrBqlDoPcQys9kF3eBLNfUejTBOUfkD8sCXjpHjR2dWsfQ6HCn0Uom5wU8ai42yhyEIT5mgQdKwCmwjCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"576e85147229b137208d2cb55bf0a2ac0ecb12da90a80a3df718954419167bd8","last_reissued_at":"2026-05-18T01:11:29.899923Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:29.899923Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A mean-field approach applied for the ferromagnetic spin-1 Blume-Capel model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"J. Roberto Viana, Minos A. Neto, Octavio D. Rodriguez Salmon","submitted_at":"2016-07-05T14:35:36Z","abstract_excerpt":"We applied a mean-field approach associated to Monte Carlo simulations in order to study the spin-1 ferromagnetic Blume-Capel model in the square and the linear lattice. This new technique, which we call MFT-MC, determines the molecular field as the magnetization response of a Monte Carlo simulation. The resulting phase diagram is qualitatively correct, in contrast to effective-field approximations, in which the first-order line is not perpendicular to the anisotropy axis at low temperatures. Thermodynamic quantities, as the entropy and the specific heat curves can be obtained so as to analyze"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01270","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":"1607.01270","created_at":"2026-05-18T01:11:29.899996+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.01270v1","created_at":"2026-05-18T01:11:29.899996+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01270","created_at":"2026-05-18T01:11:29.899996+00:00"},{"alias_kind":"pith_short_12","alias_value":"K5XIKFDSFGYT","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_16","alias_value":"K5XIKFDSFGYTOIEN","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_8","alias_value":"K5XIKFDS","created_at":"2026-05-18T12:30:25.849896+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/K5XIKFDSFGYTOIENFS2VX4FCVQ","json":"https://pith.science/pith/K5XIKFDSFGYTOIENFS2VX4FCVQ.json","graph_json":"https://pith.science/api/pith-number/K5XIKFDSFGYTOIENFS2VX4FCVQ/graph.json","events_json":"https://pith.science/api/pith-number/K5XIKFDSFGYTOIENFS2VX4FCVQ/events.json","paper":"https://pith.science/paper/K5XIKFDS"},"agent_actions":{"view_html":"https://pith.science/pith/K5XIKFDSFGYTOIENFS2VX4FCVQ","download_json":"https://pith.science/pith/K5XIKFDSFGYTOIENFS2VX4FCVQ.json","view_paper":"https://pith.science/paper/K5XIKFDS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.01270&json=true","fetch_graph":"https://pith.science/api/pith-number/K5XIKFDSFGYTOIENFS2VX4FCVQ/graph.json","fetch_events":"https://pith.science/api/pith-number/K5XIKFDSFGYTOIENFS2VX4FCVQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K5XIKFDSFGYTOIENFS2VX4FCVQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K5XIKFDSFGYTOIENFS2VX4FCVQ/action/storage_attestation","attest_author":"https://pith.science/pith/K5XIKFDSFGYTOIENFS2VX4FCVQ/action/author_attestation","sign_citation":"https://pith.science/pith/K5XIKFDSFGYTOIENFS2VX4FCVQ/action/citation_signature","submit_replication":"https://pith.science/pith/K5XIKFDSFGYTOIENFS2VX4FCVQ/action/replication_record"}},"created_at":"2026-05-18T01:11:29.899996+00:00","updated_at":"2026-05-18T01:11:29.899996+00:00"}