{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:GWIMB6EPC5UWQFSIXO5V7KQ4U3","short_pith_number":"pith:GWIMB6EP","schema_version":"1.0","canonical_sha256":"3590c0f88f1769681648bbbb5faa1ca6fe0c6d4fbf2161154c2f07ea1e394c86","source":{"kind":"arxiv","id":"0812.3824","version":2},"attestation_state":"computed","paper":{"title":"Efficient Parametrization of the Vertex Function, $\\Omega$-Scheme, and the (t,t')-Hubbard Model at Van Hove Filling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.str-el","authors_text":"Christoph Husemann, Manfred Salmhofer","submitted_at":"2008-12-19T17:12:40Z","abstract_excerpt":"We propose a new parametrization of the four-point vertex function in the one-loop one-particle irreducible renormalization group (RG) scheme for fermions. It is based on a decomposition of the effective two-fermion interaction into fermion bilinears that interact via exchange bosons. The numerical computation of the RG flow of the boson propagators reproduces the leading weak coupling instabilities of the two-dimensional Hubbard model at Van Hove filling, as they were previously obtained by a temperature RG flow. Instead of regularizing with temperature, we here use a soft frequency $\\Omega$-"},"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":"0812.3824","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-12-19T17:12:40Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"22ef256bc567606d7faf38b95dbc6e98647e90edd516b4b3c289770d06e3c623","abstract_canon_sha256":"8e6cfd0d77833c1bbd4c00297a35144dba2318dc5e36947bee182a5ec76a41d9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:08.606134Z","signature_b64":"fAlKv6IM/dHJBMx3xUvDeWcgqQqyBXyOhWH4QZYQ4tl2jyNZRWslLprryPnowEh7se9OTVRZbrAuzi4gvZ6/Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3590c0f88f1769681648bbbb5faa1ca6fe0c6d4fbf2161154c2f07ea1e394c86","last_reissued_at":"2026-05-18T03:24:08.605410Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:08.605410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Efficient Parametrization of the Vertex Function, $\\Omega$-Scheme, and the (t,t')-Hubbard Model at Van Hove Filling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.str-el","authors_text":"Christoph Husemann, Manfred Salmhofer","submitted_at":"2008-12-19T17:12:40Z","abstract_excerpt":"We propose a new parametrization of the four-point vertex function in the one-loop one-particle irreducible renormalization group (RG) scheme for fermions. It is based on a decomposition of the effective two-fermion interaction into fermion bilinears that interact via exchange bosons. The numerical computation of the RG flow of the boson propagators reproduces the leading weak coupling instabilities of the two-dimensional Hubbard model at Van Hove filling, as they were previously obtained by a temperature RG flow. Instead of regularizing with temperature, we here use a soft frequency $\\Omega$-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.3824","kind":"arxiv","version":2},"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":"0812.3824","created_at":"2026-05-18T03:24:08.605523+00:00"},{"alias_kind":"arxiv_version","alias_value":"0812.3824v2","created_at":"2026-05-18T03:24:08.605523+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.3824","created_at":"2026-05-18T03:24:08.605523+00:00"},{"alias_kind":"pith_short_12","alias_value":"GWIMB6EPC5UW","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_16","alias_value":"GWIMB6EPC5UWQFSI","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_8","alias_value":"GWIMB6EP","created_at":"2026-05-18T12:25:57.157939+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/GWIMB6EPC5UWQFSIXO5V7KQ4U3","json":"https://pith.science/pith/GWIMB6EPC5UWQFSIXO5V7KQ4U3.json","graph_json":"https://pith.science/api/pith-number/GWIMB6EPC5UWQFSIXO5V7KQ4U3/graph.json","events_json":"https://pith.science/api/pith-number/GWIMB6EPC5UWQFSIXO5V7KQ4U3/events.json","paper":"https://pith.science/paper/GWIMB6EP"},"agent_actions":{"view_html":"https://pith.science/pith/GWIMB6EPC5UWQFSIXO5V7KQ4U3","download_json":"https://pith.science/pith/GWIMB6EPC5UWQFSIXO5V7KQ4U3.json","view_paper":"https://pith.science/paper/GWIMB6EP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0812.3824&json=true","fetch_graph":"https://pith.science/api/pith-number/GWIMB6EPC5UWQFSIXO5V7KQ4U3/graph.json","fetch_events":"https://pith.science/api/pith-number/GWIMB6EPC5UWQFSIXO5V7KQ4U3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GWIMB6EPC5UWQFSIXO5V7KQ4U3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GWIMB6EPC5UWQFSIXO5V7KQ4U3/action/storage_attestation","attest_author":"https://pith.science/pith/GWIMB6EPC5UWQFSIXO5V7KQ4U3/action/author_attestation","sign_citation":"https://pith.science/pith/GWIMB6EPC5UWQFSIXO5V7KQ4U3/action/citation_signature","submit_replication":"https://pith.science/pith/GWIMB6EPC5UWQFSIXO5V7KQ4U3/action/replication_record"}},"created_at":"2026-05-18T03:24:08.605523+00:00","updated_at":"2026-05-18T03:24:08.605523+00:00"}