{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:UFQ7NKKTUAFFAMZ4C2XYWJ7FWM","short_pith_number":"pith:UFQ7NKKT","schema_version":"1.0","canonical_sha256":"a161f6a953a00a50333c16af8b27e5b30aee0ae4aa68c0a8faf03d37c0797ea7","source":{"kind":"arxiv","id":"1603.01790","version":1},"attestation_state":"computed","paper":{"title":"Universal effective coupling constants for the generalized Heisenberg model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"A. I. Sokolov","submitted_at":"2016-03-06T05:46:53Z","abstract_excerpt":"The aim of this study is to find universal critical values of the dimensionless effective coupling constant $g_6$ and refined universal values $g_4$ for Heisenberg ferromagnets with $n$-component order parameters. These constants appear in the equation of state and determine the nonlinear susceptibilities $\\chi_4$ and $\\chi_6$ in the critical region. The sextic coupling $g_6$ is calculated as a function of $g_4$ in the three-loop approximation, the series obtained is resummed by the Pade-Borel method and then by substituting the Wilson fixed point coordinate $g_4^*$ into resultant expression n"},"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":"1603.01790","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-03-06T05:46:53Z","cross_cats_sorted":["hep-lat","hep-th"],"title_canon_sha256":"5e1c8f59690fef84b77c522662191c54f6c5cbc9197ee07e7773ae2b33af9e39","abstract_canon_sha256":"97d731241b7cc894834b1ffca577b795383b1f882be505500db3255c31262048"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:33.657347Z","signature_b64":"Oyxr29hhNHKsE3S4zuOw+FL501Rre+K10KNnG74gCFvRDldU6BQIE+ZWJxFs8KU8KXAHzi36L2wCjUnXxCHGBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a161f6a953a00a50333c16af8b27e5b30aee0ae4aa68c0a8faf03d37c0797ea7","last_reissued_at":"2026-05-18T01:19:33.656897Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:33.656897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Universal effective coupling constants for the generalized Heisenberg model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"A. I. Sokolov","submitted_at":"2016-03-06T05:46:53Z","abstract_excerpt":"The aim of this study is to find universal critical values of the dimensionless effective coupling constant $g_6$ and refined universal values $g_4$ for Heisenberg ferromagnets with $n$-component order parameters. These constants appear in the equation of state and determine the nonlinear susceptibilities $\\chi_4$ and $\\chi_6$ in the critical region. The sextic coupling $g_6$ is calculated as a function of $g_4$ in the three-loop approximation, the series obtained is resummed by the Pade-Borel method and then by substituting the Wilson fixed point coordinate $g_4^*$ into resultant expression n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.01790","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":"1603.01790","created_at":"2026-05-18T01:19:33.656967+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.01790v1","created_at":"2026-05-18T01:19:33.656967+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.01790","created_at":"2026-05-18T01:19:33.656967+00:00"},{"alias_kind":"pith_short_12","alias_value":"UFQ7NKKTUAFF","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_16","alias_value":"UFQ7NKKTUAFFAMZ4","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_8","alias_value":"UFQ7NKKT","created_at":"2026-05-18T12:30:46.583412+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/UFQ7NKKTUAFFAMZ4C2XYWJ7FWM","json":"https://pith.science/pith/UFQ7NKKTUAFFAMZ4C2XYWJ7FWM.json","graph_json":"https://pith.science/api/pith-number/UFQ7NKKTUAFFAMZ4C2XYWJ7FWM/graph.json","events_json":"https://pith.science/api/pith-number/UFQ7NKKTUAFFAMZ4C2XYWJ7FWM/events.json","paper":"https://pith.science/paper/UFQ7NKKT"},"agent_actions":{"view_html":"https://pith.science/pith/UFQ7NKKTUAFFAMZ4C2XYWJ7FWM","download_json":"https://pith.science/pith/UFQ7NKKTUAFFAMZ4C2XYWJ7FWM.json","view_paper":"https://pith.science/paper/UFQ7NKKT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.01790&json=true","fetch_graph":"https://pith.science/api/pith-number/UFQ7NKKTUAFFAMZ4C2XYWJ7FWM/graph.json","fetch_events":"https://pith.science/api/pith-number/UFQ7NKKTUAFFAMZ4C2XYWJ7FWM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UFQ7NKKTUAFFAMZ4C2XYWJ7FWM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UFQ7NKKTUAFFAMZ4C2XYWJ7FWM/action/storage_attestation","attest_author":"https://pith.science/pith/UFQ7NKKTUAFFAMZ4C2XYWJ7FWM/action/author_attestation","sign_citation":"https://pith.science/pith/UFQ7NKKTUAFFAMZ4C2XYWJ7FWM/action/citation_signature","submit_replication":"https://pith.science/pith/UFQ7NKKTUAFFAMZ4C2XYWJ7FWM/action/replication_record"}},"created_at":"2026-05-18T01:19:33.656967+00:00","updated_at":"2026-05-18T01:19:33.656967+00:00"}