{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:AVYA2C62WP7FOBGJ5MRNRIKH3H","short_pith_number":"pith:AVYA2C62","canonical_record":{"source":{"id":"1707.01098","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-07-04T18:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"5efca0f0569ef26a387c6803a7f610f7621f8c6f55fb39bfbd023befdf66efb9","abstract_canon_sha256":"2844c116e992a2eee6ded8f94c54627329cf073917b40dad6e8543a0419a2845"},"schema_version":"1.0"},"canonical_sha256":"05700d0bdab3fe5704c9eb22d8a147d9d91e88757ba480ad3d8f92ed8308f7fc","source":{"kind":"arxiv","id":"1707.01098","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.01098","created_at":"2026-05-18T00:32:42Z"},{"alias_kind":"arxiv_version","alias_value":"1707.01098v2","created_at":"2026-05-18T00:32:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.01098","created_at":"2026-05-18T00:32:42Z"},{"alias_kind":"pith_short_12","alias_value":"AVYA2C62WP7F","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"AVYA2C62WP7FOBGJ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"AVYA2C62","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:AVYA2C62WP7FOBGJ5MRNRIKH3H","target":"record","payload":{"canonical_record":{"source":{"id":"1707.01098","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-07-04T18:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"5efca0f0569ef26a387c6803a7f610f7621f8c6f55fb39bfbd023befdf66efb9","abstract_canon_sha256":"2844c116e992a2eee6ded8f94c54627329cf073917b40dad6e8543a0419a2845"},"schema_version":"1.0"},"canonical_sha256":"05700d0bdab3fe5704c9eb22d8a147d9d91e88757ba480ad3d8f92ed8308f7fc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:42.397695Z","signature_b64":"ocMiug+CbTgvYNy0MItJE5F5ueGx1aYZmKTzwy27ZRkMcM5wZ2R2ymUKdSwgRXcjoVqXc9lKStzDWqK0QmLYBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"05700d0bdab3fe5704c9eb22d8a147d9d91e88757ba480ad3d8f92ed8308f7fc","last_reissued_at":"2026-05-18T00:32:42.396412Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:42.396412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.01098","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:32:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n2IsER3ZlktVEzuhw/BxycNVfF1+ImUhZb9dCOePIlJxlcADb4FmGkIn/KNi9upsDNw9L3BSZ0Vj8FijXtTZBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:37:51.023575Z"},"content_sha256":"1bb2c83b9f9148ce2eedb79eda207891a6b938c40b578e52b5fafd85d21b4e41","schema_version":"1.0","event_id":"sha256:1bb2c83b9f9148ce2eedb79eda207891a6b938c40b578e52b5fafd85d21b4e41"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:AVYA2C62WP7FOBGJ5MRNRIKH3H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dual lattice functional renormalization group for the Berezinskii-Kosterlitz-Thouless transition: irrelevance of amplitude and out-of-plane fluctuations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Jan Krieg, Peter Kopietz","submitted_at":"2017-07-04T18:00:01Z","abstract_excerpt":"We develop a new functional renormalization group (FRG) approach for the two-dimensional XY-model by combining the lattice FRG proposed by Machado and Dupuis [Phys. Rev. E 82, 041128 (2010)] with a duality transformation which explicitly introduces vortices via an integer-valued field. We show that the hierarchy of FRG flow equations for the infinite set of relevant and marginal couplings of the model can be reduced to the well-known Kosterlitz-Thouless renormalization group equations for the renormalized temperature and the vortex fugacity. Within our approach it is straightforward to include"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.01098","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:32:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eDS8oIQOmGWV4cxivSUc4pP3hc3DtWCoWCscSnggog2SDxddB2t82nJSZZpcVDQOzdisCQq/exJHqaxlNrU5Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:37:51.024254Z"},"content_sha256":"f0ab482c8ab96baa64d18249d28587f6fa095153f558b0cea9014c51875f88e6","schema_version":"1.0","event_id":"sha256:f0ab482c8ab96baa64d18249d28587f6fa095153f558b0cea9014c51875f88e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AVYA2C62WP7FOBGJ5MRNRIKH3H/bundle.json","state_url":"https://pith.science/pith/AVYA2C62WP7FOBGJ5MRNRIKH3H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AVYA2C62WP7FOBGJ5MRNRIKH3H/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":"2026-05-27T05:37:51Z","links":{"resolver":"https://pith.science/pith/AVYA2C62WP7FOBGJ5MRNRIKH3H","bundle":"https://pith.science/pith/AVYA2C62WP7FOBGJ5MRNRIKH3H/bundle.json","state":"https://pith.science/pith/AVYA2C62WP7FOBGJ5MRNRIKH3H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AVYA2C62WP7FOBGJ5MRNRIKH3H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AVYA2C62WP7FOBGJ5MRNRIKH3H","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":"2844c116e992a2eee6ded8f94c54627329cf073917b40dad6e8543a0419a2845","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-07-04T18:00:01Z","title_canon_sha256":"5efca0f0569ef26a387c6803a7f610f7621f8c6f55fb39bfbd023befdf66efb9"},"schema_version":"1.0","source":{"id":"1707.01098","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.01098","created_at":"2026-05-18T00:32:42Z"},{"alias_kind":"arxiv_version","alias_value":"1707.01098v2","created_at":"2026-05-18T00:32:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.01098","created_at":"2026-05-18T00:32:42Z"},{"alias_kind":"pith_short_12","alias_value":"AVYA2C62WP7F","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"AVYA2C62WP7FOBGJ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"AVYA2C62","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:f0ab482c8ab96baa64d18249d28587f6fa095153f558b0cea9014c51875f88e6","target":"graph","created_at":"2026-05-18T00:32:42Z","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 develop a new functional renormalization group (FRG) approach for the two-dimensional XY-model by combining the lattice FRG proposed by Machado and Dupuis [Phys. Rev. E 82, 041128 (2010)] with a duality transformation which explicitly introduces vortices via an integer-valued field. We show that the hierarchy of FRG flow equations for the infinite set of relevant and marginal couplings of the model can be reduced to the well-known Kosterlitz-Thouless renormalization group equations for the renormalized temperature and the vortex fugacity. Within our approach it is straightforward to include","authors_text":"Jan Krieg, Peter Kopietz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-07-04T18:00:01Z","title":"Dual lattice functional renormalization group for the Berezinskii-Kosterlitz-Thouless transition: irrelevance of amplitude and out-of-plane fluctuations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.01098","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":"sha256:1bb2c83b9f9148ce2eedb79eda207891a6b938c40b578e52b5fafd85d21b4e41","target":"record","created_at":"2026-05-18T00:32:42Z","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":"2844c116e992a2eee6ded8f94c54627329cf073917b40dad6e8543a0419a2845","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-07-04T18:00:01Z","title_canon_sha256":"5efca0f0569ef26a387c6803a7f610f7621f8c6f55fb39bfbd023befdf66efb9"},"schema_version":"1.0","source":{"id":"1707.01098","kind":"arxiv","version":2}},"canonical_sha256":"05700d0bdab3fe5704c9eb22d8a147d9d91e88757ba480ad3d8f92ed8308f7fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"05700d0bdab3fe5704c9eb22d8a147d9d91e88757ba480ad3d8f92ed8308f7fc","first_computed_at":"2026-05-18T00:32:42.396412Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:42.396412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ocMiug+CbTgvYNy0MItJE5F5ueGx1aYZmKTzwy27ZRkMcM5wZ2R2ymUKdSwgRXcjoVqXc9lKStzDWqK0QmLYBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:42.397695Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.01098","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1bb2c83b9f9148ce2eedb79eda207891a6b938c40b578e52b5fafd85d21b4e41","sha256:f0ab482c8ab96baa64d18249d28587f6fa095153f558b0cea9014c51875f88e6"],"state_sha256":"13560f9ac1155960138cd8311270db6c68055e1c64b2a87a9e43b4c4b1ab6360"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YNQ3SvuOhulJzoQ9QGi/nqFyAYF4YK/R578xkH1X1hfA75MtigtR8jFCt56fhTpi9K8Dbg5l5BdJo61DS0ZUDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T05:37:51.027944Z","bundle_sha256":"0ef3939447646128e1ef81f6fd36dbe369db568bb13691b1848ba7be46034111"}}