{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:FMU5KB42DQ3VLMGK2QLJ3JWRDN","short_pith_number":"pith:FMU5KB42","schema_version":"1.0","canonical_sha256":"2b29d5079a1c3755b0cad4169da6d11b503613587bcd9f33f14a614619651b6c","source":{"kind":"arxiv","id":"1708.05090","version":2},"attestation_state":"computed","paper":{"title":"Dissimilarities of reduced density matrices and eigenstate thermalization hypothesis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"hep-th","authors_text":"Feng-Li Lin, Jia-ju Zhang, Song He","submitted_at":"2017-08-16T21:56:35Z","abstract_excerpt":"We calculate various quantities that characterize the dissimilarity of reduced density matrices for a short interval of length $\\ell$ in a two-dimensional (2D) large central charge conformal field theory (CFT). These quantities include the R\\'enyi entropy, entanglement entropy, relative entropy, Jensen-Shannon divergence, as well as the Schatten 2-norm and 4-norm. We adopt the method of operator product expansion of twist operators, and calculate the short interval expansion of these quantities up to order of $\\ell^9$ for the contributions from the vacuum conformal family. The formal forms of "},"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":"1708.05090","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-08-16T21:56:35Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"293a6be3ff7a7e8e2ac1b38a33c92a00307d56bff8094969cd7f5babb2a77ff0","abstract_canon_sha256":"44dab90fa582974df247e007deb5fe81e14e3f0beffbc19af2ce74a826c0bfa7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:27.883683Z","signature_b64":"zXy8F6EpL6ooSKFTw/S3m/5T91pheonIr6vacJs2RDaCnTWCRYHn5d00/qHKlQaBL8lBzqWR0oeLt+wSKTdTBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b29d5079a1c3755b0cad4169da6d11b503613587bcd9f33f14a614619651b6c","last_reissued_at":"2026-05-18T00:27:27.882976Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:27.882976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dissimilarities of reduced density matrices and eigenstate thermalization hypothesis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"hep-th","authors_text":"Feng-Li Lin, Jia-ju Zhang, Song He","submitted_at":"2017-08-16T21:56:35Z","abstract_excerpt":"We calculate various quantities that characterize the dissimilarity of reduced density matrices for a short interval of length $\\ell$ in a two-dimensional (2D) large central charge conformal field theory (CFT). These quantities include the R\\'enyi entropy, entanglement entropy, relative entropy, Jensen-Shannon divergence, as well as the Schatten 2-norm and 4-norm. We adopt the method of operator product expansion of twist operators, and calculate the short interval expansion of these quantities up to order of $\\ell^9$ for the contributions from the vacuum conformal family. The formal forms of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05090","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":"1708.05090","created_at":"2026-05-18T00:27:27.883104+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.05090v2","created_at":"2026-05-18T00:27:27.883104+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.05090","created_at":"2026-05-18T00:27:27.883104+00:00"},{"alias_kind":"pith_short_12","alias_value":"FMU5KB42DQ3V","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_16","alias_value":"FMU5KB42DQ3VLMGK","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_8","alias_value":"FMU5KB42","created_at":"2026-05-18T12:31:15.632608+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/FMU5KB42DQ3VLMGK2QLJ3JWRDN","json":"https://pith.science/pith/FMU5KB42DQ3VLMGK2QLJ3JWRDN.json","graph_json":"https://pith.science/api/pith-number/FMU5KB42DQ3VLMGK2QLJ3JWRDN/graph.json","events_json":"https://pith.science/api/pith-number/FMU5KB42DQ3VLMGK2QLJ3JWRDN/events.json","paper":"https://pith.science/paper/FMU5KB42"},"agent_actions":{"view_html":"https://pith.science/pith/FMU5KB42DQ3VLMGK2QLJ3JWRDN","download_json":"https://pith.science/pith/FMU5KB42DQ3VLMGK2QLJ3JWRDN.json","view_paper":"https://pith.science/paper/FMU5KB42","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.05090&json=true","fetch_graph":"https://pith.science/api/pith-number/FMU5KB42DQ3VLMGK2QLJ3JWRDN/graph.json","fetch_events":"https://pith.science/api/pith-number/FMU5KB42DQ3VLMGK2QLJ3JWRDN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FMU5KB42DQ3VLMGK2QLJ3JWRDN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FMU5KB42DQ3VLMGK2QLJ3JWRDN/action/storage_attestation","attest_author":"https://pith.science/pith/FMU5KB42DQ3VLMGK2QLJ3JWRDN/action/author_attestation","sign_citation":"https://pith.science/pith/FMU5KB42DQ3VLMGK2QLJ3JWRDN/action/citation_signature","submit_replication":"https://pith.science/pith/FMU5KB42DQ3VLMGK2QLJ3JWRDN/action/replication_record"}},"created_at":"2026-05-18T00:27:27.883104+00:00","updated_at":"2026-05-18T00:27:27.883104+00:00"}