{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:WDSD2APSQNNN7QT35RLKP7RSJH","short_pith_number":"pith:WDSD2APS","schema_version":"1.0","canonical_sha256":"b0e43d01f2835adfc27bec56a7fe3249e86672baa195d3c236e2932ec2ecffb1","source":{"kind":"arxiv","id":"1710.06373","version":2},"attestation_state":"computed","paper":{"title":"Second order functional renormalization group approach to one-dimensional systems in real and momentum space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.mes-hall","authors_text":"Bj\\\"orn Sbierski, Christoph Karrasch","submitted_at":"2017-10-17T16:39:36Z","abstract_excerpt":"We devise a functional renormalization group treatment for a chain of interacting spinless fermions which is correct up to second order in the interaction strength. We treat both inhomogeneous systems in real-space as well as the translational invariant case in a k-space formalism. The strengths and shortcomings of the different schemes as well as technical details of their implementation are discussed. We use the method to study two proof-of-principle problems in the realm of Luttinger liquid physics, namely reflection at interfaces and power laws in the occupation number as a function of cry"},"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":"1710.06373","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-10-17T16:39:36Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"deb01100f4a1e8989bb54eef100124523c0f0fb9a3330abe92dfb277428cb3f1","abstract_canon_sha256":"0ca1c2027d84225cd7bbe0cea1165b0ac194cff8eb249e20dba2b304d2169158"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:42.619634Z","signature_b64":"H1xvw1pWPmVTGBfmmhGWtA9mAhPo3AfJqJx+Bsdk7JGcgDvfWGBaWFZcynX/3nqqdWgKp3yhkB4OttZY6KQQCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0e43d01f2835adfc27bec56a7fe3249e86672baa195d3c236e2932ec2ecffb1","last_reissued_at":"2026-05-18T00:27:42.619002Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:42.619002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Second order functional renormalization group approach to one-dimensional systems in real and momentum space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.mes-hall","authors_text":"Bj\\\"orn Sbierski, Christoph Karrasch","submitted_at":"2017-10-17T16:39:36Z","abstract_excerpt":"We devise a functional renormalization group treatment for a chain of interacting spinless fermions which is correct up to second order in the interaction strength. We treat both inhomogeneous systems in real-space as well as the translational invariant case in a k-space formalism. The strengths and shortcomings of the different schemes as well as technical details of their implementation are discussed. We use the method to study two proof-of-principle problems in the realm of Luttinger liquid physics, namely reflection at interfaces and power laws in the occupation number as a function of cry"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.06373","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":"1710.06373","created_at":"2026-05-18T00:27:42.619096+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.06373v2","created_at":"2026-05-18T00:27:42.619096+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.06373","created_at":"2026-05-18T00:27:42.619096+00:00"},{"alias_kind":"pith_short_12","alias_value":"WDSD2APSQNNN","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_16","alias_value":"WDSD2APSQNNN7QT3","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_8","alias_value":"WDSD2APS","created_at":"2026-05-18T12:31:53.515858+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/WDSD2APSQNNN7QT35RLKP7RSJH","json":"https://pith.science/pith/WDSD2APSQNNN7QT35RLKP7RSJH.json","graph_json":"https://pith.science/api/pith-number/WDSD2APSQNNN7QT35RLKP7RSJH/graph.json","events_json":"https://pith.science/api/pith-number/WDSD2APSQNNN7QT35RLKP7RSJH/events.json","paper":"https://pith.science/paper/WDSD2APS"},"agent_actions":{"view_html":"https://pith.science/pith/WDSD2APSQNNN7QT35RLKP7RSJH","download_json":"https://pith.science/pith/WDSD2APSQNNN7QT35RLKP7RSJH.json","view_paper":"https://pith.science/paper/WDSD2APS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.06373&json=true","fetch_graph":"https://pith.science/api/pith-number/WDSD2APSQNNN7QT35RLKP7RSJH/graph.json","fetch_events":"https://pith.science/api/pith-number/WDSD2APSQNNN7QT35RLKP7RSJH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WDSD2APSQNNN7QT35RLKP7RSJH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WDSD2APSQNNN7QT35RLKP7RSJH/action/storage_attestation","attest_author":"https://pith.science/pith/WDSD2APSQNNN7QT35RLKP7RSJH/action/author_attestation","sign_citation":"https://pith.science/pith/WDSD2APSQNNN7QT35RLKP7RSJH/action/citation_signature","submit_replication":"https://pith.science/pith/WDSD2APSQNNN7QT35RLKP7RSJH/action/replication_record"}},"created_at":"2026-05-18T00:27:42.619096+00:00","updated_at":"2026-05-18T00:27:42.619096+00:00"}