{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:LC2PPM26YLF3OO5YHEAC4TI2NI","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":"f459cb041c28bad12cf7286d3381b7d733fa7d64d0442db95b9b9e92874eeb86","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-10-19T19:48:55Z","title_canon_sha256":"1948df0136b045cc2e8b16cdb3f62aa60817984f5ad7e32553e43ce97460896b"},"schema_version":"1.0","source":{"id":"1110.4362","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.4362","created_at":"2026-05-18T04:10:37Z"},{"alias_kind":"arxiv_version","alias_value":"1110.4362v1","created_at":"2026-05-18T04:10:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4362","created_at":"2026-05-18T04:10:37Z"},{"alias_kind":"pith_short_12","alias_value":"LC2PPM26YLF3","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LC2PPM26YLF3OO5Y","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LC2PPM26","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:a527e78f0367828122b227a97594c931680f6f979d9e03280812c60f6a0d1443","target":"graph","created_at":"2026-05-18T04:10:37Z","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 propose a novel recursive way of updating the tensors in projected entangled pair states by evolving the tensor in imaginary time evolution on clusters of different sizes. This generalizes the so- called simple update method of Jiang et al. [Phys. Rev. Lett. 101, 090603 (2008)] and the updating schemes in the single layer picture of Pi\\v{z}orn et al. [Phys. Rev. A 83, 052321 (2011)]. A finite-size scaling of the observables as a function of the cluster size provides a remarkable improvement in the accuracy as compared to the simple update scheme. We benchmark our results on the hand of the ","authors_text":"Frank Verstraete, Ling Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-10-19T19:48:55Z","title":"Cluster update for tensor network states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4362","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:f3fa4f95d07222d8a8dc092366765b8bb02df2dd67997f4a4595141aa264e236","target":"record","created_at":"2026-05-18T04:10:37Z","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":"f459cb041c28bad12cf7286d3381b7d733fa7d64d0442db95b9b9e92874eeb86","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-10-19T19:48:55Z","title_canon_sha256":"1948df0136b045cc2e8b16cdb3f62aa60817984f5ad7e32553e43ce97460896b"},"schema_version":"1.0","source":{"id":"1110.4362","kind":"arxiv","version":1}},"canonical_sha256":"58b4f7b35ec2cbb73bb839002e4d1a6a064c789a0380b85a8bfabcc97a09ba04","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58b4f7b35ec2cbb73bb839002e4d1a6a064c789a0380b85a8bfabcc97a09ba04","first_computed_at":"2026-05-18T04:10:37.504953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:37.504953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rD8LJ8SBcgrygJ8Skx1sgkL1aO3NJ8qeXmy44D9Z3tRrdpgQxWz3TitWfRS1C9WwtilIXbYf+RvnZ8WgH8XODw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:37.505711Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.4362","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3fa4f95d07222d8a8dc092366765b8bb02df2dd67997f4a4595141aa264e236","sha256:a527e78f0367828122b227a97594c931680f6f979d9e03280812c60f6a0d1443"],"state_sha256":"1420502fe7383d1a1c49d124cb38a3af7fea480c363f0fd43b8c9d4d4e938f33"}