{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:FQYU6A5BZVZJYKX6BUEII37LWA","short_pith_number":"pith:FQYU6A5B","canonical_record":{"source":{"id":"1712.02535","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-12-07T08:28:20Z","cross_cats_sorted":[],"title_canon_sha256":"4104d540b0a3d0957372e66ddb0efcbdc89fd9346caaf5fed122d4ecf485fd82","abstract_canon_sha256":"193401d5e852e8c8fb3ed34182750c95d9d83ddebf20fb5130e29b9c461d3ee3"},"schema_version":"1.0"},"canonical_sha256":"2c314f03a1cd729c2afe0d08846febb0067c8af8ff7b479bbd220213b31801a0","source":{"kind":"arxiv","id":"1712.02535","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.02535","created_at":"2026-05-18T00:18:14Z"},{"alias_kind":"arxiv_version","alias_value":"1712.02535v1","created_at":"2026-05-18T00:18:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.02535","created_at":"2026-05-18T00:18:14Z"},{"alias_kind":"pith_short_12","alias_value":"FQYU6A5BZVZJ","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FQYU6A5BZVZJYKX6","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FQYU6A5B","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:FQYU6A5BZVZJYKX6BUEII37LWA","target":"record","payload":{"canonical_record":{"source":{"id":"1712.02535","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-12-07T08:28:20Z","cross_cats_sorted":[],"title_canon_sha256":"4104d540b0a3d0957372e66ddb0efcbdc89fd9346caaf5fed122d4ecf485fd82","abstract_canon_sha256":"193401d5e852e8c8fb3ed34182750c95d9d83ddebf20fb5130e29b9c461d3ee3"},"schema_version":"1.0"},"canonical_sha256":"2c314f03a1cd729c2afe0d08846febb0067c8af8ff7b479bbd220213b31801a0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:14.722773Z","signature_b64":"DQ7DheXQCHA8XKtR8Rzt2mR638eJCr0WnS491d3QjeaE2wApm/seQJPD/RApyvgUkxaNTFC2hwZ4vpYthiqTAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c314f03a1cd729c2afe0d08846febb0067c8af8ff7b479bbd220213b31801a0","last_reissued_at":"2026-05-18T00:18:14.722355Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:14.722355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.02535","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:18:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nBRLWqpPICm6ACIIfmP5/TTW+mFlke1AZbDyi4DbHflz8JywG2xFHMAsBLzMmqtouUM1TQmDoJwTCOQKj85SBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:30:24.531211Z"},"content_sha256":"3529f3f121f34ae2adf4e52de2bdd97f8697b2a72d08ed0275acfdc9510bbeb6","schema_version":"1.0","event_id":"sha256:3529f3f121f34ae2adf4e52de2bdd97f8697b2a72d08ed0275acfdc9510bbeb6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:FQYU6A5BZVZJYKX6BUEII37LWA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effects of two-loop contributions in the pseudofermion functional renormalization group method for quantum spin systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Johannes Reuther, Marlon Rueck","submitted_at":"2017-12-07T08:28:20Z","abstract_excerpt":"We implement an extension of the pseudofermion functional renormalization group (PFFRG) method for quantum spin systems that takes into account two-loop diagrammatic contributions. An efficient numerical treatment of the additional terms is achieved within a nested graph construction which recombines different one-loop interaction channels. In order to be fully self consistent with respect to self-energy corrections we also include certain three-loop terms of Katanin type. We first apply this formalism to the antiferromagnetic $J_1$-$J_2$ Heisenberg model on the square lattice and benchmark ou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.02535","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:18:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9GKwWRC0HqvqMf+LfVtxP74R8Hbgfow8YiIUwgXa6YscfCzb2iYYECPs0asr9t15LYJG+EcCEs6sFFDH16m1AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:30:24.531897Z"},"content_sha256":"a5f2c28267076f9b9e4ac470c3ebdf6b33338157cd53f4612f432a4dddc01e3d","schema_version":"1.0","event_id":"sha256:a5f2c28267076f9b9e4ac470c3ebdf6b33338157cd53f4612f432a4dddc01e3d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FQYU6A5BZVZJYKX6BUEII37LWA/bundle.json","state_url":"https://pith.science/pith/FQYU6A5BZVZJYKX6BUEII37LWA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FQYU6A5BZVZJYKX6BUEII37LWA/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T20:30:24Z","links":{"resolver":"https://pith.science/pith/FQYU6A5BZVZJYKX6BUEII37LWA","bundle":"https://pith.science/pith/FQYU6A5BZVZJYKX6BUEII37LWA/bundle.json","state":"https://pith.science/pith/FQYU6A5BZVZJYKX6BUEII37LWA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FQYU6A5BZVZJYKX6BUEII37LWA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FQYU6A5BZVZJYKX6BUEII37LWA","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":"193401d5e852e8c8fb3ed34182750c95d9d83ddebf20fb5130e29b9c461d3ee3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-12-07T08:28:20Z","title_canon_sha256":"4104d540b0a3d0957372e66ddb0efcbdc89fd9346caaf5fed122d4ecf485fd82"},"schema_version":"1.0","source":{"id":"1712.02535","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.02535","created_at":"2026-05-18T00:18:14Z"},{"alias_kind":"arxiv_version","alias_value":"1712.02535v1","created_at":"2026-05-18T00:18:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.02535","created_at":"2026-05-18T00:18:14Z"},{"alias_kind":"pith_short_12","alias_value":"FQYU6A5BZVZJ","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FQYU6A5BZVZJYKX6","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FQYU6A5B","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:a5f2c28267076f9b9e4ac470c3ebdf6b33338157cd53f4612f432a4dddc01e3d","target":"graph","created_at":"2026-05-18T00:18:14Z","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 implement an extension of the pseudofermion functional renormalization group (PFFRG) method for quantum spin systems that takes into account two-loop diagrammatic contributions. An efficient numerical treatment of the additional terms is achieved within a nested graph construction which recombines different one-loop interaction channels. In order to be fully self consistent with respect to self-energy corrections we also include certain three-loop terms of Katanin type. We first apply this formalism to the antiferromagnetic $J_1$-$J_2$ Heisenberg model on the square lattice and benchmark ou","authors_text":"Johannes Reuther, Marlon Rueck","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-12-07T08:28:20Z","title":"Effects of two-loop contributions in the pseudofermion functional renormalization group method for quantum spin systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.02535","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":"sha256:3529f3f121f34ae2adf4e52de2bdd97f8697b2a72d08ed0275acfdc9510bbeb6","target":"record","created_at":"2026-05-18T00:18:14Z","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":"193401d5e852e8c8fb3ed34182750c95d9d83ddebf20fb5130e29b9c461d3ee3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-12-07T08:28:20Z","title_canon_sha256":"4104d540b0a3d0957372e66ddb0efcbdc89fd9346caaf5fed122d4ecf485fd82"},"schema_version":"1.0","source":{"id":"1712.02535","kind":"arxiv","version":1}},"canonical_sha256":"2c314f03a1cd729c2afe0d08846febb0067c8af8ff7b479bbd220213b31801a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c314f03a1cd729c2afe0d08846febb0067c8af8ff7b479bbd220213b31801a0","first_computed_at":"2026-05-18T00:18:14.722355Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:14.722355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DQ7DheXQCHA8XKtR8Rzt2mR638eJCr0WnS491d3QjeaE2wApm/seQJPD/RApyvgUkxaNTFC2hwZ4vpYthiqTAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:14.722773Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.02535","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3529f3f121f34ae2adf4e52de2bdd97f8697b2a72d08ed0275acfdc9510bbeb6","sha256:a5f2c28267076f9b9e4ac470c3ebdf6b33338157cd53f4612f432a4dddc01e3d"],"state_sha256":"9f9c7283d7b6ef51e30b0831afea8d8b74417b5007752f38019a8b83a0e73ca9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sHRrrGXbbKKHGgfIBZpRPbPG4aeBFXeUXar2YX9GGUxLUziiBrpPkefS1DEHIaigwjrFN6hmNo/Nztsx9mpSAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T20:30:24.535958Z","bundle_sha256":"8867e0fdeab6fd96b5c22fbbb9a24c0b99d6d0b5179637d85b935d2abb4bab6d"}}