{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:JGX5PBA4JMSRISR7BSPI6OTFCT","short_pith_number":"pith:JGX5PBA4","canonical_record":{"source":{"id":"1807.02524","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-07-06T18:00:02Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"ebca378db5018053a12935bda9b96278b70d65d7fba49f1e7cb8db9502b18b7e","abstract_canon_sha256":"e4bbf10bea90d42aacb3f3081760f225ac1f6ab131630bd206ab66294bbf18aa"},"schema_version":"1.0"},"canonical_sha256":"49afd7841c4b25144a3f0c9e8f3a6514c978a895486a25a16c3168198c174b71","source":{"kind":"arxiv","id":"1807.02524","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.02524","created_at":"2026-05-17T23:54:11Z"},{"alias_kind":"arxiv_version","alias_value":"1807.02524v2","created_at":"2026-05-17T23:54:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.02524","created_at":"2026-05-17T23:54:11Z"},{"alias_kind":"pith_short_12","alias_value":"JGX5PBA4JMSR","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JGX5PBA4JMSRISR7","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JGX5PBA4","created_at":"2026-05-18T12:32:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:JGX5PBA4JMSRISR7BSPI6OTFCT","target":"record","payload":{"canonical_record":{"source":{"id":"1807.02524","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-07-06T18:00:02Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"ebca378db5018053a12935bda9b96278b70d65d7fba49f1e7cb8db9502b18b7e","abstract_canon_sha256":"e4bbf10bea90d42aacb3f3081760f225ac1f6ab131630bd206ab66294bbf18aa"},"schema_version":"1.0"},"canonical_sha256":"49afd7841c4b25144a3f0c9e8f3a6514c978a895486a25a16c3168198c174b71","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:11.271878Z","signature_b64":"aYKFLHgzYNvf2BWp4ZnfISn1OSR+axql+Qxh7U3mK2ykR9NQC5xJZ3lhU2y67ZNomWMkBRkHPKwoYs/RINeIBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"49afd7841c4b25144a3f0c9e8f3a6514c978a895486a25a16c3168198c174b71","last_reissued_at":"2026-05-17T23:54:11.271218Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:11.271218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.02524","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":"2026-05-17T23:54:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vdrOntHukz9RvTsHotDE4bAPapmR6vMhEj49Uh1KkdesOq5aUnWqMVxGlOvg7etbppKLTIboJIyliPQ1IwCYCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T09:38:39.793207Z"},"content_sha256":"386add9ad79f2c780e7676348fb9abee4643989e5fc36dcdc1c0edbfd2af6ef0","schema_version":"1.0","event_id":"sha256:386add9ad79f2c780e7676348fb9abee4643989e5fc36dcdc1c0edbfd2af6ef0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:JGX5PBA4JMSRISR7BSPI6OTFCT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact renormalization group for quantum spin systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Jan Krieg, Peter Kopietz","submitted_at":"2018-07-06T18:00:02Z","abstract_excerpt":"We show that the diagrammatic approach to quantum spin systems developed in a seminal work by Vaks, Larkin, and Pikin [Sov. Phys. JETP 26, 188 (1968)] can be embedded in the framework of the functional renormalization group. The crucial insight is that the generating functional of the time-ordered connected spin correlation functions of an arbitrary quantum spin system satisfies an exact renormalization group flow equation which resembles the corresponding flow equation of a system of interacting bosons. The $SU (2)$ spin algebra is implemented via a non-trivial initial condition for the renor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02524","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":"2026-05-17T23:54:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zmzQPCJu4ylffWuPj+HRyFUMTZ+tKTLsZBF81pYpbpvEOHDjErtoN92X/Ku03yIT2Kl6HG848/go7EN8/xgyCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T09:38:39.793573Z"},"content_sha256":"55f0842c47a8e0b11d1a4f50dcf91bbd0f6f6d78fbbc9439291825fb7d2b0753","schema_version":"1.0","event_id":"sha256:55f0842c47a8e0b11d1a4f50dcf91bbd0f6f6d78fbbc9439291825fb7d2b0753"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JGX5PBA4JMSRISR7BSPI6OTFCT/bundle.json","state_url":"https://pith.science/pith/JGX5PBA4JMSRISR7BSPI6OTFCT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JGX5PBA4JMSRISR7BSPI6OTFCT/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":"2026-05-28T09:38:39Z","links":{"resolver":"https://pith.science/pith/JGX5PBA4JMSRISR7BSPI6OTFCT","bundle":"https://pith.science/pith/JGX5PBA4JMSRISR7BSPI6OTFCT/bundle.json","state":"https://pith.science/pith/JGX5PBA4JMSRISR7BSPI6OTFCT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JGX5PBA4JMSRISR7BSPI6OTFCT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:JGX5PBA4JMSRISR7BSPI6OTFCT","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":"e4bbf10bea90d42aacb3f3081760f225ac1f6ab131630bd206ab66294bbf18aa","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-07-06T18:00:02Z","title_canon_sha256":"ebca378db5018053a12935bda9b96278b70d65d7fba49f1e7cb8db9502b18b7e"},"schema_version":"1.0","source":{"id":"1807.02524","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.02524","created_at":"2026-05-17T23:54:11Z"},{"alias_kind":"arxiv_version","alias_value":"1807.02524v2","created_at":"2026-05-17T23:54:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.02524","created_at":"2026-05-17T23:54:11Z"},{"alias_kind":"pith_short_12","alias_value":"JGX5PBA4JMSR","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JGX5PBA4JMSRISR7","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JGX5PBA4","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:55f0842c47a8e0b11d1a4f50dcf91bbd0f6f6d78fbbc9439291825fb7d2b0753","target":"graph","created_at":"2026-05-17T23:54:11Z","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 show that the diagrammatic approach to quantum spin systems developed in a seminal work by Vaks, Larkin, and Pikin [Sov. Phys. JETP 26, 188 (1968)] can be embedded in the framework of the functional renormalization group. The crucial insight is that the generating functional of the time-ordered connected spin correlation functions of an arbitrary quantum spin system satisfies an exact renormalization group flow equation which resembles the corresponding flow equation of a system of interacting bosons. The $SU (2)$ spin algebra is implemented via a non-trivial initial condition for the renor","authors_text":"Jan Krieg, Peter Kopietz","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-07-06T18:00:02Z","title":"Exact renormalization group for quantum spin systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02524","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":"sha256:386add9ad79f2c780e7676348fb9abee4643989e5fc36dcdc1c0edbfd2af6ef0","target":"record","created_at":"2026-05-17T23:54:11Z","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":"e4bbf10bea90d42aacb3f3081760f225ac1f6ab131630bd206ab66294bbf18aa","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-07-06T18:00:02Z","title_canon_sha256":"ebca378db5018053a12935bda9b96278b70d65d7fba49f1e7cb8db9502b18b7e"},"schema_version":"1.0","source":{"id":"1807.02524","kind":"arxiv","version":2}},"canonical_sha256":"49afd7841c4b25144a3f0c9e8f3a6514c978a895486a25a16c3168198c174b71","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49afd7841c4b25144a3f0c9e8f3a6514c978a895486a25a16c3168198c174b71","first_computed_at":"2026-05-17T23:54:11.271218Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:11.271218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aYKFLHgzYNvf2BWp4ZnfISn1OSR+axql+Qxh7U3mK2ykR9NQC5xJZ3lhU2y67ZNomWMkBRkHPKwoYs/RINeIBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:11.271878Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.02524","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:386add9ad79f2c780e7676348fb9abee4643989e5fc36dcdc1c0edbfd2af6ef0","sha256:55f0842c47a8e0b11d1a4f50dcf91bbd0f6f6d78fbbc9439291825fb7d2b0753"],"state_sha256":"0d075b10091b6ba5aa04dae7c4ac181f1e24d0f119074b20ac509ea037b9e0be"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MHfFHp87L2gZ5J1Vo76bd01JJcdPUP/oZoSWQVVS2vN9qqWYIvqX+v7uUjId7kE9ObNuExw0i080VeK4hjV5Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T09:38:39.795662Z","bundle_sha256":"162a3eac70d2668500601b877e52fbff979a52faf10d5615016478f426eefc7e"}}