{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:H5K6KOFAC7IMHXWKGSE7W6DCQ7","short_pith_number":"pith:H5K6KOFA","schema_version":"1.0","canonical_sha256":"3f55e538a017d0c3deca3489fb786287c9666e3085a46542622738e01d4de29d","source":{"kind":"arxiv","id":"1610.01815","version":2},"attestation_state":"computed","paper":{"title":"Entanglement distance between quantum states and its implications for density-matrix-renormalization-group study of degenerate ground-states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Abolhassan Vaezi, Mohammad-Sadegh Vaezi","submitted_at":"2016-10-06T11:00:43Z","abstract_excerpt":"We study the concept of entanglement distance between two quantum states which quantifies the amount of information shared between their reduced density matrices (RDMs). Using analytical arguments combined with density-matrix-renormalization-group (DMRG) and exact diagonalization (ED) calculations, we show that for gapless systems the entanglement distance has power law dependence on the energy separation and subsystem size with $\\alpha_E$ and $\\alpha_{\\ell}$ exponents, respectively. Using conformal field theory (CFT) we find $\\alpha_E = 2$ and $\\alpha_{\\ell} = 4$ for Abelian theories with $c="},"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":"1610.01815","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-10-06T11:00:43Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"3c9234b8e77b9bb0549f1a6e707c33956eaa581f71a24c4f083fb6efc72786d9","abstract_canon_sha256":"fb5a8be113a9ce73749e3838869ad9fce5caeb357d924c41d637b3e74ab0bcda"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:44.272440Z","signature_b64":"9qooSi/W1zlANOV/yfzDdTZ/IqUdEqaBMbDcalu+nHHcwkI4gWQv/nzDfZjsAPpdJQtSy+OUoDWFYWldegHUBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f55e538a017d0c3deca3489fb786287c9666e3085a46542622738e01d4de29d","last_reissued_at":"2026-05-18T00:32:44.271721Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:44.271721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entanglement distance between quantum states and its implications for density-matrix-renormalization-group study of degenerate ground-states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Abolhassan Vaezi, Mohammad-Sadegh Vaezi","submitted_at":"2016-10-06T11:00:43Z","abstract_excerpt":"We study the concept of entanglement distance between two quantum states which quantifies the amount of information shared between their reduced density matrices (RDMs). Using analytical arguments combined with density-matrix-renormalization-group (DMRG) and exact diagonalization (ED) calculations, we show that for gapless systems the entanglement distance has power law dependence on the energy separation and subsystem size with $\\alpha_E$ and $\\alpha_{\\ell}$ exponents, respectively. Using conformal field theory (CFT) we find $\\alpha_E = 2$ and $\\alpha_{\\ell} = 4$ for Abelian theories with $c="},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.01815","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":"1610.01815","created_at":"2026-05-18T00:32:44.271825+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.01815v2","created_at":"2026-05-18T00:32:44.271825+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.01815","created_at":"2026-05-18T00:32:44.271825+00:00"},{"alias_kind":"pith_short_12","alias_value":"H5K6KOFAC7IM","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"H5K6KOFAC7IMHXWK","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"H5K6KOFA","created_at":"2026-05-18T12:30:19.053100+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/H5K6KOFAC7IMHXWKGSE7W6DCQ7","json":"https://pith.science/pith/H5K6KOFAC7IMHXWKGSE7W6DCQ7.json","graph_json":"https://pith.science/api/pith-number/H5K6KOFAC7IMHXWKGSE7W6DCQ7/graph.json","events_json":"https://pith.science/api/pith-number/H5K6KOFAC7IMHXWKGSE7W6DCQ7/events.json","paper":"https://pith.science/paper/H5K6KOFA"},"agent_actions":{"view_html":"https://pith.science/pith/H5K6KOFAC7IMHXWKGSE7W6DCQ7","download_json":"https://pith.science/pith/H5K6KOFAC7IMHXWKGSE7W6DCQ7.json","view_paper":"https://pith.science/paper/H5K6KOFA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.01815&json=true","fetch_graph":"https://pith.science/api/pith-number/H5K6KOFAC7IMHXWKGSE7W6DCQ7/graph.json","fetch_events":"https://pith.science/api/pith-number/H5K6KOFAC7IMHXWKGSE7W6DCQ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H5K6KOFAC7IMHXWKGSE7W6DCQ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H5K6KOFAC7IMHXWKGSE7W6DCQ7/action/storage_attestation","attest_author":"https://pith.science/pith/H5K6KOFAC7IMHXWKGSE7W6DCQ7/action/author_attestation","sign_citation":"https://pith.science/pith/H5K6KOFAC7IMHXWKGSE7W6DCQ7/action/citation_signature","submit_replication":"https://pith.science/pith/H5K6KOFAC7IMHXWKGSE7W6DCQ7/action/replication_record"}},"created_at":"2026-05-18T00:32:44.271825+00:00","updated_at":"2026-05-18T00:32:44.271825+00:00"}