{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:H5AM3BUYMO5XR7E3XVU2MN2F5Q","short_pith_number":"pith:H5AM3BUY","schema_version":"1.0","canonical_sha256":"3f40cd869863bb78fc9bbd69a63745ec23095ca46803c053e228885afb0a9394","source":{"kind":"arxiv","id":"1401.8010","version":1},"attestation_state":"computed","paper":{"title":"Spin-1 Hopfield model under a random field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"C. V. Morais, F. M. Zimmer, M. J. Lazo, P. R. Krebs, S. G. Magalhaes","submitted_at":"2014-01-30T22:04:02Z","abstract_excerpt":"The goal of the present work is to investigate the role of trivial disorder and nontrivial disorder in the three-state Hopfield model under a Gaussian random field. In order to control the nontrivial disorder, the Hebb interaction is used. This provides a way to control the system frustration by means of the parameter a=p/N, varying from trivial randomness to a highly frustrated regime, in the thermodynamic limit. We performed the thermodynamic analysis using the one-step replica-symmetry-breaking mean field theory to obtain the order parameters and phase diagrams for several strengths of a, 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":"1401.8010","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-01-30T22:04:02Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"f408fcf2a940b6bb539b3fc537ddd3db0ea749e09c8af21ffad7260b1fa312ab","abstract_canon_sha256":"dfb2abf16a9fcf0cb286fb9b97a197cd1b4acb47a219912d04d8328b9a0a2c1a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:00:36.536657Z","signature_b64":"5CmDo6rhyqH1rTXZmjZB8jYebBvP2STFUfxJHvO63tv4W5XpMreYBkp0DXqW6oCtZ4IbUxIoCtjrEazWqwS5BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f40cd869863bb78fc9bbd69a63745ec23095ca46803c053e228885afb0a9394","last_reissued_at":"2026-05-18T03:00:36.535818Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:00:36.535818Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spin-1 Hopfield model under a random field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"C. V. Morais, F. M. Zimmer, M. J. Lazo, P. R. Krebs, S. G. Magalhaes","submitted_at":"2014-01-30T22:04:02Z","abstract_excerpt":"The goal of the present work is to investigate the role of trivial disorder and nontrivial disorder in the three-state Hopfield model under a Gaussian random field. In order to control the nontrivial disorder, the Hebb interaction is used. This provides a way to control the system frustration by means of the parameter a=p/N, varying from trivial randomness to a highly frustrated regime, in the thermodynamic limit. We performed the thermodynamic analysis using the one-step replica-symmetry-breaking mean field theory to obtain the order parameters and phase diagrams for several strengths of a, t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.8010","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":"1401.8010","created_at":"2026-05-18T03:00:36.535975+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.8010v1","created_at":"2026-05-18T03:00:36.535975+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.8010","created_at":"2026-05-18T03:00:36.535975+00:00"},{"alias_kind":"pith_short_12","alias_value":"H5AM3BUYMO5X","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"H5AM3BUYMO5XR7E3","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"H5AM3BUY","created_at":"2026-05-18T12:28:30.664211+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/H5AM3BUYMO5XR7E3XVU2MN2F5Q","json":"https://pith.science/pith/H5AM3BUYMO5XR7E3XVU2MN2F5Q.json","graph_json":"https://pith.science/api/pith-number/H5AM3BUYMO5XR7E3XVU2MN2F5Q/graph.json","events_json":"https://pith.science/api/pith-number/H5AM3BUYMO5XR7E3XVU2MN2F5Q/events.json","paper":"https://pith.science/paper/H5AM3BUY"},"agent_actions":{"view_html":"https://pith.science/pith/H5AM3BUYMO5XR7E3XVU2MN2F5Q","download_json":"https://pith.science/pith/H5AM3BUYMO5XR7E3XVU2MN2F5Q.json","view_paper":"https://pith.science/paper/H5AM3BUY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.8010&json=true","fetch_graph":"https://pith.science/api/pith-number/H5AM3BUYMO5XR7E3XVU2MN2F5Q/graph.json","fetch_events":"https://pith.science/api/pith-number/H5AM3BUYMO5XR7E3XVU2MN2F5Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H5AM3BUYMO5XR7E3XVU2MN2F5Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H5AM3BUYMO5XR7E3XVU2MN2F5Q/action/storage_attestation","attest_author":"https://pith.science/pith/H5AM3BUYMO5XR7E3XVU2MN2F5Q/action/author_attestation","sign_citation":"https://pith.science/pith/H5AM3BUYMO5XR7E3XVU2MN2F5Q/action/citation_signature","submit_replication":"https://pith.science/pith/H5AM3BUYMO5XR7E3XVU2MN2F5Q/action/replication_record"}},"created_at":"2026-05-18T03:00:36.535975+00:00","updated_at":"2026-05-18T03:00:36.535975+00:00"}