{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:QLZNB7N7MQB5VNLPWH4EXZFT2L","short_pith_number":"pith:QLZNB7N7","schema_version":"1.0","canonical_sha256":"82f2d0fdbf6403dab56fb1f84be4b3d2c149f6d37b4ed1ca5c80b395fdd4a988","source":{"kind":"arxiv","id":"2412.13758","version":2},"attestation_state":"computed","paper":{"title":"Three-dimensional real space renormalization group with well-controlled approximations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","physics.comp-ph","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Naoki Kawashima, Xinliang Lyu","submitted_at":"2024-12-18T11:53:05Z","abstract_excerpt":"We make Kadanoff's block idea into a reliable three-dimensional (3D) real space renormalization group (RG) method. Kadanoff's idea, expressed in spin representation, offers a qualitative intuition for clarifying scaling behavior in criticality, but has difficulty as a quantitative tool due to uncontrolled approximations. A tensor-network reformulation equips the block idea with a measure of RG errors. In 3D, we propose an entanglement filtering scheme to enhance such a block-tensor map, with the lattice reflection symmetry exploited. When the proposed RG is applied to the cubic-lattice Ising m"},"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":"2412.13758","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-12-18T11:53:05Z","cross_cats_sorted":["hep-th","physics.comp-ph","quant-ph"],"title_canon_sha256":"b91ca8e0e08a8a6577f4a8f1d4198b9ec123f6e90ebe218e85278df85362cecf","abstract_canon_sha256":"409e27273917a7f8e4a0d32e6d5ec58d7e1e38a0f41db89855ae3e4dda421537"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:11:38.656499Z","signature_b64":"ztl5CkoR1R9qPFQYTZ3Tp50BJ4XVpzQ9b2TlVV6N9pPWnGNlIaMpuXHiGDiWazPHtSksTf/jVcuIriZ02yRVDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82f2d0fdbf6403dab56fb1f84be4b3d2c149f6d37b4ed1ca5c80b395fdd4a988","last_reissued_at":"2026-07-05T11:11:38.655942Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:11:38.655942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Three-dimensional real space renormalization group with well-controlled approximations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","physics.comp-ph","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Naoki Kawashima, Xinliang Lyu","submitted_at":"2024-12-18T11:53:05Z","abstract_excerpt":"We make Kadanoff's block idea into a reliable three-dimensional (3D) real space renormalization group (RG) method. Kadanoff's idea, expressed in spin representation, offers a qualitative intuition for clarifying scaling behavior in criticality, but has difficulty as a quantitative tool due to uncontrolled approximations. A tensor-network reformulation equips the block idea with a measure of RG errors. In 3D, we propose an entanglement filtering scheme to enhance such a block-tensor map, with the lattice reflection symmetry exploited. When the proposed RG is applied to the cubic-lattice Ising m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.13758","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.13758/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2412.13758","created_at":"2026-07-05T11:11:38.656000+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.13758v2","created_at":"2026-07-05T11:11:38.656000+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.13758","created_at":"2026-07-05T11:11:38.656000+00:00"},{"alias_kind":"pith_short_12","alias_value":"QLZNB7N7MQB5","created_at":"2026-07-05T11:11:38.656000+00:00"},{"alias_kind":"pith_short_16","alias_value":"QLZNB7N7MQB5VNLP","created_at":"2026-07-05T11:11:38.656000+00:00"},{"alias_kind":"pith_short_8","alias_value":"QLZNB7N7","created_at":"2026-07-05T11:11:38.656000+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2601.02681","citing_title":"Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions","ref_index":68,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QLZNB7N7MQB5VNLPWH4EXZFT2L","json":"https://pith.science/pith/QLZNB7N7MQB5VNLPWH4EXZFT2L.json","graph_json":"https://pith.science/api/pith-number/QLZNB7N7MQB5VNLPWH4EXZFT2L/graph.json","events_json":"https://pith.science/api/pith-number/QLZNB7N7MQB5VNLPWH4EXZFT2L/events.json","paper":"https://pith.science/paper/QLZNB7N7"},"agent_actions":{"view_html":"https://pith.science/pith/QLZNB7N7MQB5VNLPWH4EXZFT2L","download_json":"https://pith.science/pith/QLZNB7N7MQB5VNLPWH4EXZFT2L.json","view_paper":"https://pith.science/paper/QLZNB7N7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.13758&json=true","fetch_graph":"https://pith.science/api/pith-number/QLZNB7N7MQB5VNLPWH4EXZFT2L/graph.json","fetch_events":"https://pith.science/api/pith-number/QLZNB7N7MQB5VNLPWH4EXZFT2L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QLZNB7N7MQB5VNLPWH4EXZFT2L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QLZNB7N7MQB5VNLPWH4EXZFT2L/action/storage_attestation","attest_author":"https://pith.science/pith/QLZNB7N7MQB5VNLPWH4EXZFT2L/action/author_attestation","sign_citation":"https://pith.science/pith/QLZNB7N7MQB5VNLPWH4EXZFT2L/action/citation_signature","submit_replication":"https://pith.science/pith/QLZNB7N7MQB5VNLPWH4EXZFT2L/action/replication_record"}},"created_at":"2026-07-05T11:11:38.656000+00:00","updated_at":"2026-07-05T11:11:38.656000+00:00"}