{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:QJP4MKB3XS5223LTNAYWWHZDMZ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1528f3fe29503150954254b5a5f0d4e87ae8cb59e99e8fbe98105fac2916b33a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-05-27T15:03:12Z","title_canon_sha256":"f82a8926e0839c8e99e8c90a35e6219517765d885a337c9347599555de3e8e0c"},"schema_version":"1.0","source":{"id":"1505.07360","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07360","created_at":"2026-05-18T01:18:44Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07360v1","created_at":"2026-05-18T01:18:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07360","created_at":"2026-05-18T01:18:44Z"},{"alias_kind":"pith_short_12","alias_value":"QJP4MKB3XS52","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"QJP4MKB3XS5223LT","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"QJP4MKB3","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:f1e1e542d6150e70e97bf90666408de01772e34bf83c559e1e45c08f2d1d4790","target":"graph","created_at":"2026-05-18T01:18:44Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We have studied a Fermi system with attractive $U(r)$-symmetric interaction at the finite temperatures by the quantum field renormalization group (RG) method. The RG functions have been calculated in the framework of dimensional regularization and minimal subtraction scheme up to five loops. It has been found that for $r\\geq 4$ the RG flux leaves the system's stability region -- the system undergoes a first order phase transition. To estimate the temperature of the transition to superconducting or superfluid phase the RG analysis for composite operators has been performed using three-loops app","authors_text":"G. A. Kalagov, M. V. Kompaniets, M. Yu. Nalimov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-05-27T15:03:12Z","title":"Renormalization-group investigation of a superconducting $U(r)$-phase transition using five loops calculations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07360","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b78e7080f4c160b30951bbb0ca1e0260e08f2e6e5140ba7af8ba77afb12a712e","target":"record","created_at":"2026-05-18T01:18:44Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"1528f3fe29503150954254b5a5f0d4e87ae8cb59e99e8fbe98105fac2916b33a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-05-27T15:03:12Z","title_canon_sha256":"f82a8926e0839c8e99e8c90a35e6219517765d885a337c9347599555de3e8e0c"},"schema_version":"1.0","source":{"id":"1505.07360","kind":"arxiv","version":1}},"canonical_sha256":"825fc6283bbcbbad6d7368316b1f2366635dd9eb9e43e3917efd2b80f44fe31c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"825fc6283bbcbbad6d7368316b1f2366635dd9eb9e43e3917efd2b80f44fe31c","first_computed_at":"2026-05-18T01:18:44.830189Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:44.830189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1wcsw7MoAND3ddLkN2nOYummPBRPx4ARCGqxkwqqSUaDK+xU7kajO9Bp8hVIlaHqaT15zZQZTtc7hovuMu6oDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:44.830802Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.07360","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b78e7080f4c160b30951bbb0ca1e0260e08f2e6e5140ba7af8ba77afb12a712e","sha256:f1e1e542d6150e70e97bf90666408de01772e34bf83c559e1e45c08f2d1d4790"],"state_sha256":"271a25610aa7f772a24f339d145086cc48fe5a6ff0e0fac9372052f75b3f4d5b"}