{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YHDORJWRQGRHAO7YFCS7BL7GGF","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":"0697608c9c1320b71a57d4cd2cae26a8b4570d8cdcb8bb964ca17d4154996cd5","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-06T18:32:22Z","title_canon_sha256":"5180e6495c8053a5484dd7425ed4e3a9dace61be2ecb6e2cbab948bd393b026a"},"schema_version":"1.0","source":{"id":"1604.01717","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.01717","created_at":"2026-05-18T00:53:08Z"},{"alias_kind":"arxiv_version","alias_value":"1604.01717v1","created_at":"2026-05-18T00:53:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.01717","created_at":"2026-05-18T00:53:08Z"},{"alias_kind":"pith_short_12","alias_value":"YHDORJWRQGRH","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YHDORJWRQGRHAO7Y","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YHDORJWR","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:1558eed837048b852c0c879e2c05edf7c0cda55b7765b6dbbd369aa9d0a0bdcc","target":"graph","created_at":"2026-05-18T00:53:08Z","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":"In this paper we propose a method to study the Functional Renormalization Group at finite chemical potential. The method consists of mapping the FRG equations within the Fermi surface into a differential equation defined on a rectangle with zero boundary conditions. To solve this equation we use an expansion of the potential in a harmonic basis. With this method we determined the phase diagram of a simple Yukawa-type model; as expected, the bosonic fluctuations decrease the strength of the transition.","authors_text":"A. Jakovac, G.G. Barnafoldi, P. Posfay","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-06T18:32:22Z","title":"Harmonic expansion of the effective potential in Functional Renormalization Group at finite chemical potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.01717","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:dc1cc7907792b8d8ab54398ca9b6080f7bfe234b43906ff1b5f855765e99f1e4","target":"record","created_at":"2026-05-18T00:53:08Z","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":"0697608c9c1320b71a57d4cd2cae26a8b4570d8cdcb8bb964ca17d4154996cd5","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-06T18:32:22Z","title_canon_sha256":"5180e6495c8053a5484dd7425ed4e3a9dace61be2ecb6e2cbab948bd393b026a"},"schema_version":"1.0","source":{"id":"1604.01717","kind":"arxiv","version":1}},"canonical_sha256":"c1c6e8a6d181a2703bf828a5f0afe6315d4632ef125611cb5d1fc4d545374ff5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1c6e8a6d181a2703bf828a5f0afe6315d4632ef125611cb5d1fc4d545374ff5","first_computed_at":"2026-05-18T00:53:08.359417Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:08.359417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lVwuPGqMgwbI67rhy0nT0IkrxMrvC2Y9d8bDBCCDDbAsHWiGLHEnCT+xa5S/ikW/0lR5YmA8rWzXk3UKO7w2AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:08.360045Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.01717","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc1cc7907792b8d8ab54398ca9b6080f7bfe234b43906ff1b5f855765e99f1e4","sha256:1558eed837048b852c0c879e2c05edf7c0cda55b7765b6dbbd369aa9d0a0bdcc"],"state_sha256":"ba4d0c65ac61a3cd3ef936724e5911a0d4a33a541883e322a3033c227cf09192"}