{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:MENXX7INAOXI66OHOXY2Q227GH","short_pith_number":"pith:MENXX7IN","schema_version":"1.0","canonical_sha256":"611b7bfd0d03ae8f79c775f1a86b5f31f69d93814daefca969ee683788def60a","source":{"kind":"arxiv","id":"1606.01186","version":1},"attestation_state":"computed","paper":{"title":"Spin-glass phase transition and behavior of nonlinear susceptibility in the Sherrington-Kirkpatrick model with random fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"C. V. Morais, F.D. Nobre, F. M. Zimmer, M. J. Lazo, S. G. Magalh\\~aes","submitted_at":"2016-06-03T17:01:49Z","abstract_excerpt":"The behavior of the nonlinear susceptibility $\\chi_3$ and its relation to the spin-glass transition temperature $T_f$, in the presence of random fields, are investigated. To accomplish this task, the Sherrington-Kirkpatrick model is studied through the replica formalism, within a one-step replica-symmetry-breaking procedure. In addition, the dependence of the Almeida-Thouless eigenvalue $\\lambda_{\\rm AT}$ (replicon) on the random fields is analyzed. Particularly, in absence of random fields, the temperature $T_f$ can be traced by a divergence in the spin-glass susceptibility $\\chi_{\\rm SG}$, w"},"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":"1606.01186","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-06-03T17:01:49Z","cross_cats_sorted":[],"title_canon_sha256":"342c6bde9a59dc4f51f2cbab86a7e81c6246745ca8df6a4d9d15ca49b790e6c3","abstract_canon_sha256":"71790baaf99ed81e392d92ef516ecdaa50f2a1998bb64a01939e3b8c35d005b2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:44.141850Z","signature_b64":"EBlfE16Zp5SNDSUxdEjEBickrHbDIweD/pri5Z8IMKlDwJ+rCNal2MoRm995/4dlmn2Mpxs6mPuAdmxo7ZDLDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"611b7bfd0d03ae8f79c775f1a86b5f31f69d93814daefca969ee683788def60a","last_reissued_at":"2026-05-18T01:11:44.141512Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:44.141512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spin-glass phase transition and behavior of nonlinear susceptibility in the Sherrington-Kirkpatrick model with random fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"C. V. Morais, F.D. Nobre, F. M. Zimmer, M. J. Lazo, S. G. Magalh\\~aes","submitted_at":"2016-06-03T17:01:49Z","abstract_excerpt":"The behavior of the nonlinear susceptibility $\\chi_3$ and its relation to the spin-glass transition temperature $T_f$, in the presence of random fields, are investigated. To accomplish this task, the Sherrington-Kirkpatrick model is studied through the replica formalism, within a one-step replica-symmetry-breaking procedure. In addition, the dependence of the Almeida-Thouless eigenvalue $\\lambda_{\\rm AT}$ (replicon) on the random fields is analyzed. Particularly, in absence of random fields, the temperature $T_f$ can be traced by a divergence in the spin-glass susceptibility $\\chi_{\\rm SG}$, w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.01186","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":"1606.01186","created_at":"2026-05-18T01:11:44.141572+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.01186v1","created_at":"2026-05-18T01:11:44.141572+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.01186","created_at":"2026-05-18T01:11:44.141572+00:00"},{"alias_kind":"pith_short_12","alias_value":"MENXX7INAOXI","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_16","alias_value":"MENXX7INAOXI66OH","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_8","alias_value":"MENXX7IN","created_at":"2026-05-18T12:30:32.724797+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/MENXX7INAOXI66OHOXY2Q227GH","json":"https://pith.science/pith/MENXX7INAOXI66OHOXY2Q227GH.json","graph_json":"https://pith.science/api/pith-number/MENXX7INAOXI66OHOXY2Q227GH/graph.json","events_json":"https://pith.science/api/pith-number/MENXX7INAOXI66OHOXY2Q227GH/events.json","paper":"https://pith.science/paper/MENXX7IN"},"agent_actions":{"view_html":"https://pith.science/pith/MENXX7INAOXI66OHOXY2Q227GH","download_json":"https://pith.science/pith/MENXX7INAOXI66OHOXY2Q227GH.json","view_paper":"https://pith.science/paper/MENXX7IN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.01186&json=true","fetch_graph":"https://pith.science/api/pith-number/MENXX7INAOXI66OHOXY2Q227GH/graph.json","fetch_events":"https://pith.science/api/pith-number/MENXX7INAOXI66OHOXY2Q227GH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MENXX7INAOXI66OHOXY2Q227GH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MENXX7INAOXI66OHOXY2Q227GH/action/storage_attestation","attest_author":"https://pith.science/pith/MENXX7INAOXI66OHOXY2Q227GH/action/author_attestation","sign_citation":"https://pith.science/pith/MENXX7INAOXI66OHOXY2Q227GH/action/citation_signature","submit_replication":"https://pith.science/pith/MENXX7INAOXI66OHOXY2Q227GH/action/replication_record"}},"created_at":"2026-05-18T01:11:44.141572+00:00","updated_at":"2026-05-18T01:11:44.141572+00:00"}