{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:F6CNVC5OCRGDRPQHH4UVEW6P3N","short_pith_number":"pith:F6CNVC5O","schema_version":"1.0","canonical_sha256":"2f84da8bae144c38be073f29525bcfdb5ceeaa303589b6ce65658c545c362d5a","source":{"kind":"arxiv","id":"1111.3177","version":1},"attestation_state":"computed","paper":{"title":"Callen-like method for the classical Heisenberg ferromagnet","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Cavallo, A. Naddeo, L. De Cesare, L. S. Campana, U. Esposito","submitted_at":"2011-11-14T11:20:37Z","abstract_excerpt":"A study of the d-dimensional classical Heisenberg ferromagnetic model in the presence of a magnetic field is performed within the two-time Green function's framework in classical statistical physics. We extend the well known quantum Callen method to derive analytically a new formula for magnetization. Although this formula is valid for any dimensionality, we focus on one- and three- dimensional models and compare the predictions with those arising from a different expression suggested many years ago in the context of the classical spectral density method. Both frameworks give results in good a"},"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":"1111.3177","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-11-14T11:20:37Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"18beda15c2a7b9121178d809db57cf09267fd316dcc22fbe43db7dfabdd7a1d1","abstract_canon_sha256":"deaec54e3c4edcf2ef283bf6b4c4003ad13e0b66a9b3806d1d8e5109b6675e3a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:39.273800Z","signature_b64":"DT+46yE6tl2tMTgQ/lzwF24AdbDSPy22iLDw+VQuKZHAN4ZCO5UNpMNGmd1wC+hPKuRLwGmYh23Rj9Wlps9PCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f84da8bae144c38be073f29525bcfdb5ceeaa303589b6ce65658c545c362d5a","last_reissued_at":"2026-05-18T01:59:39.273040Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:39.273040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Callen-like method for the classical Heisenberg ferromagnet","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Cavallo, A. Naddeo, L. De Cesare, L. S. Campana, U. Esposito","submitted_at":"2011-11-14T11:20:37Z","abstract_excerpt":"A study of the d-dimensional classical Heisenberg ferromagnetic model in the presence of a magnetic field is performed within the two-time Green function's framework in classical statistical physics. We extend the well known quantum Callen method to derive analytically a new formula for magnetization. Although this formula is valid for any dimensionality, we focus on one- and three- dimensional models and compare the predictions with those arising from a different expression suggested many years ago in the context of the classical spectral density method. Both frameworks give results in good a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3177","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":"1111.3177","created_at":"2026-05-18T01:59:39.273175+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.3177v1","created_at":"2026-05-18T01:59:39.273175+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3177","created_at":"2026-05-18T01:59:39.273175+00:00"},{"alias_kind":"pith_short_12","alias_value":"F6CNVC5OCRGD","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"F6CNVC5OCRGDRPQH","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"F6CNVC5O","created_at":"2026-05-18T12:26:28.662955+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/F6CNVC5OCRGDRPQHH4UVEW6P3N","json":"https://pith.science/pith/F6CNVC5OCRGDRPQHH4UVEW6P3N.json","graph_json":"https://pith.science/api/pith-number/F6CNVC5OCRGDRPQHH4UVEW6P3N/graph.json","events_json":"https://pith.science/api/pith-number/F6CNVC5OCRGDRPQHH4UVEW6P3N/events.json","paper":"https://pith.science/paper/F6CNVC5O"},"agent_actions":{"view_html":"https://pith.science/pith/F6CNVC5OCRGDRPQHH4UVEW6P3N","download_json":"https://pith.science/pith/F6CNVC5OCRGDRPQHH4UVEW6P3N.json","view_paper":"https://pith.science/paper/F6CNVC5O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.3177&json=true","fetch_graph":"https://pith.science/api/pith-number/F6CNVC5OCRGDRPQHH4UVEW6P3N/graph.json","fetch_events":"https://pith.science/api/pith-number/F6CNVC5OCRGDRPQHH4UVEW6P3N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F6CNVC5OCRGDRPQHH4UVEW6P3N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F6CNVC5OCRGDRPQHH4UVEW6P3N/action/storage_attestation","attest_author":"https://pith.science/pith/F6CNVC5OCRGDRPQHH4UVEW6P3N/action/author_attestation","sign_citation":"https://pith.science/pith/F6CNVC5OCRGDRPQHH4UVEW6P3N/action/citation_signature","submit_replication":"https://pith.science/pith/F6CNVC5OCRGDRPQHH4UVEW6P3N/action/replication_record"}},"created_at":"2026-05-18T01:59:39.273175+00:00","updated_at":"2026-05-18T01:59:39.273175+00:00"}