{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:6QMIAVTNR57R3RKMDGRVMGXLD5","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":"88d91c824ae1da44344f2c7b1693ec330f5888f24dda785d3719bab8718b3fd8","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-07-27T13:31:49Z","title_canon_sha256":"a96ef3649ad7694c2b9e6c5ce08f7b2123a77b8ddf14cd70f15675eac9f96c18"},"schema_version":"1.0","source":{"id":"0707.4110","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.4110","created_at":"2026-05-18T04:32:00Z"},{"alias_kind":"arxiv_version","alias_value":"0707.4110v2","created_at":"2026-05-18T04:32:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.4110","created_at":"2026-05-18T04:32:00Z"},{"alias_kind":"pith_short_12","alias_value":"6QMIAVTNR57R","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"6QMIAVTNR57R3RKM","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"6QMIAVTN","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:cf8ad0e93a3e464566ef028ae14e8eab88ea45289d2d0b1f9f91f7583fa499bc","target":"graph","created_at":"2026-05-18T04:32:00Z","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 include spontaneous symmetry breaking into the functional renormalization group (RG) equations for the irreducible vertices of Ginzburg-Landau theories by augmenting these equations by a flow equation for the order parameter, which is determined from the requirement that at each RG step the vertex with one external leg vanishes identically. Using this strategy, we propose a simple truncation of the coupled RG flow equations for the vertices in the broken symmetry phase of the Ising universality class in D dimensions. Our truncation yields the full momentum dependence of the self-energy Sigm","authors_text":"Andreas Sinner, Nils Hasselmann, Peter Kopietz","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-07-27T13:31:49Z","title":"Functional renormalization group in the broken symmetry phase: momentum dependence and two-parameter scaling of the self-energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.4110","kind":"arxiv","version":2},"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":"sha256:8ce23f610d308e37e20fc2216bba416f11c02035d3e36ff7b9eb6da6200aac4a","target":"record","created_at":"2026-05-18T04:32:00Z","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":"88d91c824ae1da44344f2c7b1693ec330f5888f24dda785d3719bab8718b3fd8","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-07-27T13:31:49Z","title_canon_sha256":"a96ef3649ad7694c2b9e6c5ce08f7b2123a77b8ddf14cd70f15675eac9f96c18"},"schema_version":"1.0","source":{"id":"0707.4110","kind":"arxiv","version":2}},"canonical_sha256":"f41880566d8f7f1dc54c19a3561aeb1f5c1da771bd7416c398ca604f9b2033de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f41880566d8f7f1dc54c19a3561aeb1f5c1da771bd7416c398ca604f9b2033de","first_computed_at":"2026-05-18T04:32:00.873537Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:00.873537Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NEeOQas2Fo9BWWe+9P03/c/Hlo7fk0S+3guBmd327PjvF61ElTNoKCisZiUmiAHiYG0xqhfkGBBwCI+3g5ZBCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:00.874020Z","signed_message":"canonical_sha256_bytes"},"source_id":"0707.4110","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ce23f610d308e37e20fc2216bba416f11c02035d3e36ff7b9eb6da6200aac4a","sha256:cf8ad0e93a3e464566ef028ae14e8eab88ea45289d2d0b1f9f91f7583fa499bc"],"state_sha256":"12ab353e3212ac80c58740b735015840176adb7d5ae3eff097610de88d8349cb"}