{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:O47W4PG7GOGH4HJV2M6J32OYRV","short_pith_number":"pith:O47W4PG7","schema_version":"1.0","canonical_sha256":"773f6e3cdf338c7e1d35d33c9de9d88d58ddac6f68f206064938504b8de8319d","source":{"kind":"arxiv","id":"cond-mat/0512165","version":2},"attestation_state":"computed","paper":{"title":"Entanglement renormalization","license":"","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Guifre Vidal","submitted_at":"2005-12-08T06:06:37Z","abstract_excerpt":"In the context of real-space renormalization group methods, we propose a novel scheme for quantum systems defined on a D-dimensional lattice. It is based on a coarse-graining transformation that attempts to reduce the amount of entanglement of a block of lattice sites before truncating its Hilbert space. Numerical simulations involving the ground state of a 1D system at criticality show that the resulting coarse-grained site requires a Hilbert space dimension that does not grow with successive rescaling transformations. As a result we can address, in a quasi-exact way, tens of thousands of qua"},"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":"cond-mat/0512165","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2005-12-08T06:06:37Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"49979e832c523c2454ec7fe18a25ee59b0548c53795ee939ef8ab0094bca8413","abstract_canon_sha256":"bc342ae0efe78e8c3268e5310640a515b9b4347e0ae47e4098a1624e3b3dad35"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:49.312471Z","signature_b64":"ZfVX+/BBf139q4RKO0ObkrROQ5rGO2qCdBucEvYwBeoFrxtocCO7rujjOFGt8CitgkTp7MtGTgbZgz8ODNo3Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"773f6e3cdf338c7e1d35d33c9de9d88d58ddac6f68f206064938504b8de8319d","last_reissued_at":"2026-05-18T01:39:49.311954Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:49.311954Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entanglement renormalization","license":"","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Guifre Vidal","submitted_at":"2005-12-08T06:06:37Z","abstract_excerpt":"In the context of real-space renormalization group methods, we propose a novel scheme for quantum systems defined on a D-dimensional lattice. It is based on a coarse-graining transformation that attempts to reduce the amount of entanglement of a block of lattice sites before truncating its Hilbert space. Numerical simulations involving the ground state of a 1D system at criticality show that the resulting coarse-grained site requires a Hilbert space dimension that does not grow with successive rescaling transformations. As a result we can address, in a quasi-exact way, tens of thousands of qua"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0512165","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":"cond-mat/0512165","created_at":"2026-05-18T01:39:49.312038+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0512165v2","created_at":"2026-05-18T01:39:49.312038+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0512165","created_at":"2026-05-18T01:39:49.312038+00:00"},{"alias_kind":"pith_short_12","alias_value":"O47W4PG7GOGH","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"O47W4PG7GOGH4HJV","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"O47W4PG7","created_at":"2026-05-18T12:25:53.335082+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2511.01366","citing_title":"Symmetry-Resolved Entanglement Entropy from Heat Kernels","ref_index":18,"is_internal_anchor":true},{"citing_arxiv_id":"2605.06857","citing_title":"Quantum Annealing: Optimisation, Sampling, and Many-Body Dynamics","ref_index":76,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/O47W4PG7GOGH4HJV2M6J32OYRV","json":"https://pith.science/pith/O47W4PG7GOGH4HJV2M6J32OYRV.json","graph_json":"https://pith.science/api/pith-number/O47W4PG7GOGH4HJV2M6J32OYRV/graph.json","events_json":"https://pith.science/api/pith-number/O47W4PG7GOGH4HJV2M6J32OYRV/events.json","paper":"https://pith.science/paper/O47W4PG7"},"agent_actions":{"view_html":"https://pith.science/pith/O47W4PG7GOGH4HJV2M6J32OYRV","download_json":"https://pith.science/pith/O47W4PG7GOGH4HJV2M6J32OYRV.json","view_paper":"https://pith.science/paper/O47W4PG7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0512165&json=true","fetch_graph":"https://pith.science/api/pith-number/O47W4PG7GOGH4HJV2M6J32OYRV/graph.json","fetch_events":"https://pith.science/api/pith-number/O47W4PG7GOGH4HJV2M6J32OYRV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O47W4PG7GOGH4HJV2M6J32OYRV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O47W4PG7GOGH4HJV2M6J32OYRV/action/storage_attestation","attest_author":"https://pith.science/pith/O47W4PG7GOGH4HJV2M6J32OYRV/action/author_attestation","sign_citation":"https://pith.science/pith/O47W4PG7GOGH4HJV2M6J32OYRV/action/citation_signature","submit_replication":"https://pith.science/pith/O47W4PG7GOGH4HJV2M6J32OYRV/action/replication_record"}},"created_at":"2026-05-18T01:39:49.312038+00:00","updated_at":"2026-05-18T01:39:49.312038+00:00"}